

Mathematics (2019) 
Grade(s): K 
All Resources: 
8 
Learning Activities: 
2 
Classroom Resources: 
6 

1. Count forward orally from 0 to 100 by ones and by tens. Count backward orally from 10 to 0 by ones. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): K 
All Resources: 
8 
Learning Activities: 
4 
Classroom Resources: 
4 

2. Count to 100 by ones beginning with any given number between 0 and 99. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): K 
All Resources: 
7 
Learning Activities: 
4 
Lesson Plans: 
1 
Classroom Resources: 
2 

3. Write numerals from 0 to 20.
a. Represent 0 to 20 using concrete objects when given a written numeral from 0 to 20 (with 0 representing a count of no objects).Â Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): K 
All Resources: 
9 
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6 
Lesson Plans: 
1 
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2 

4. Connect counting to cardinality using a variety of concrete objects.
a. Say the number names in consecutive order when counting objects.
b. Indicate that the last number name said tells the number of objects counted in a set.
c. Indicate that the number of objects in a set is the same regardless of their arrangement or the order in which they were counted.
d. Explain that each successive number name refers to a quantity that is one larger. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): K 
All Resources: 
6 
Learning Activities: 
3 
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3 

5. Count to answer "how many?" questions.
a. Count using no more than 20 concrete objects arranged in a line, a rectangular array, or a circle.
b. Count using no more than 10 concrete objects in a scattered configuration.
c. Draw the number of objects that matches a given numeral from 0 to 20. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): K 
All Resources: 
6 
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4 
Lesson Plans: 
1 
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1 

6. Orally identify whether the number of objects in one group is greater/more than, less/fewer than, or equal/the same as the number of objects in another group, in groups containing up to 10 objects, by using matching, counting, or other strategies. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): K 
All Resources: 
2 
Learning Activities: 
1 
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1 

7. Compare two numbers between 0 and 10 presented as written numerals (without using inequality symbols). Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): K 
All Resources: 
1 
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1 

8. Represent addition and subtraction up to 10 with concrete objects, fingers, pennies, mental images, drawings, claps or other sounds, acting out situations, verbal explanations, expressions, or equations. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): K 
All Resources: 
2 
Learning Activities: 
1 
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9. Solve addition and subtraction word problems, and add and subtract within 10, by using concrete objects or drawings to represent the problem. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): K 
All Resources: 
9 
Learning Activities: 
6 
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3 

10. Decompose numbers less than or equal to 10 into pairs of smaller numbers in more than one way, by using concrete objects or drawings, and record each decomposition by a drawing or equation.
Example: 5 = 2 + 3 and 5 = 4 + 1 Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): K 
All Resources: 
4 
Learning Activities: 
4 

11. For any number from 0 to 10, find the number that makes 10 when added to the given number, by using concrete objects or drawings, and record the answer with a drawing or equation. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): K 
All Resources: 
2 
Learning Activities: 
2 

12. Fluently add and subtract within 5.
Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): K 
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0 

13. Duplicate and extend simple patterns using concrete objects.
Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): K 
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3 
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3 

14. Compose and decompose numbers from 11 to 19 by using concrete objects or drawings to demonstrate understanding that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): K 
All Resources: 
4 
Learning Activities: 
1 
Lesson Plans: 
2 
Classroom Resources: 
1 

15. Classify objects into given categories of 10 or fewer; count the number of objects in each category and sort the categories by count.
a. Categorize data on Venn diagrams, pictographs, and "yesno" charts using real objects, symbolic representations, or pictorial representations. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): K 
All Resources: 
6 
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2 
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2 
Classroom Resources: 
1 
Unit Plans: 
1 

16. Identify and describe measurable attributes (length, weight, height) of a single object using vocabulary such as long/short, heavy/light, or tall/short. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): K 
All Resources: 
4 
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2 
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2 

17. Directly compare two objects with a measurable attribute in common to see which object has "more of" or "less of" the attribute and describe the difference.
Example: Directly compare the heights of two children and describe one child as "taller" or "shorter." Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): K 
All Resources: 
1 
Learning Activities: 
1 

18. Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): K 
All Resources: 
2 
Learning Activities: 
2 

19. Correctly name shapes regardless of their orientations or overall sizes. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): K 
All Resources: 
2 
Learning Activities: 
1 
Classroom Resources: 
1 

20. Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional ("solid"). Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): K 
All Resources: 
3 
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21. Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (number of sides and vertices or "corners"), and other attributes.
Example: Having sides of equal length. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): K 
All Resources: 
1 
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22. Model shapes in the world by building them from sticks, clay balls, or other components and by drawing them. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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23. Use simple shapes to compose larger shapes.
Example: Join two triangles with full sides touching to make a rectangle. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 1 
All Resources: 
7 
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5 
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2 

1. Use addition and subtraction to solve word problems within 20 by using concrete objects, drawings, and equations with a symbol for the unknown number to represent the problem.
a. Add to with change unknown to solve word problems within 20.
b. Take from with change unknown to solve word problems within 20.
c. Put together/take apart with addend unknown to solve word problems within 20.
d. Compare quantities, with difference unknown, bigger unknown, and smaller unknown while solving word problems within 20. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 1 
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4 
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2. Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20 by using concrete objects, drawings, or equations with a symbol for the unknown number to represent the problem. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
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3 
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2 
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1 

3. Apply properties of operations as strategies to add and subtract.
Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known (commutative property of addition). To add 2 + 6 + 4, the second and third numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12 (associative property of addition). When adding 0 to a number, the result is the same number (identity property of zero for addition). Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 1 
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4 
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1 
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1 
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4. Explain subtraction as an unknownaddend problem.
Example: subtracting 10  8 by finding the number that makes 10 when added to 8 Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 1 
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6 
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4 
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1 
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5. Relate counting to addition and subtraction.
Example: counting on 2 to add 2
Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 1 
All Resources: 
8 
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4 
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2 
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6. Add and subtract within 20.
a. Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by counting on.
b. Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by making ten.
c. Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by decomposing a number leading to a ten.
Example: 13  4 = 13  3  1 = 10  1 = 9
d. Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by using the relationship between addition and subtraction.
Example: Knowing that 8 + 4 = 12, one knows 12  8 = 4.
e. Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by creating equivalent but easier or known sums.
Example: adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13 Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 1 
All Resources: 
1 
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7. Explain that the equal sign means "the same as." Determine whether equations involving addition and subtraction are true or false.
Example: determining which of the following equations are true and which are false: 6 = 6, 7 = 8  1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2 Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 1 
All Resources: 
6 
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4 
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2 

8. Solve for the unknown whole number in various positions in an addition or subtraction equation, relating three whole numbers that would make it true.
Example: determining the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = ?  3, and 6 + 6 = ? Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 1 
All Resources: 
0 

9. Reproduce, extend, and create patterns and sequences of numbers using a variety of materials. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 1 
All Resources: 
4 
Learning Activities: 
3 
Classroom Resources: 
1 

10. Extend the number sequence from 0 to 120.
a. Count forward and backward by ones, starting at any number less than 120.
b. Read numerals from 0 to 120.
c. Write numerals from 0 to 120.
d. Represent a number of objects from 0 to 120 with a written numeral. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 1 
All Resources: 
4 
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3 
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11. Explain that the two digits of a twodigit number represent amounts of tens and ones.
a. Identify a bundle of ten ones as a "ten."
b. Identify the numbers from 11 to 19 as composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.
c. Identify the numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 as one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones). Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 1 
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4 
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12. Compare pairs of twodigit numbers based on the values of the tens and ones digits, recording the results of comparisons with the symbols >, =, and < and orally with the words "is greater than," "is equal to," and "is less than." Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 1 
All Resources: 
2 
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1 
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1 

13. Add within 100, using concrete models or drawings and strategies based on place value.
a. Add a twodigit number and a onedigit number.
b. Add a twodigit number and a multiple of 10.
c. Demonstrate that in adding twodigit numbers, tens are added to tens, ones are added to ones, and sometimes it is necessary to compose a ten.
d. Relate the strategy for adding a twodigit number and a onedigit number to a written method and explain the reasoning used. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 1 
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3 
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2 
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14. Given a twodigit number, mentally find 10 more or 10 less than the number without having to count, and explain the reasoning used. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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1 
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15. Subtract multiples of 10 from multiples of 10 in the range 1090 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. Relate the strategy to a written method and explain the reasoning used. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 1 
All Resources: 
5 
Learning Activities: 
1 
Lesson Plans: 
4 

16. Organize, represent, and interpret data with up to three categories.
a. Ask and answer questions about the total number of data points in organized data.
b. Summarize data on Venn diagrams, pictographs, and "yesno" charts using real objects, symbolic representations, or pictorial representations.
c. Determine "how many" in each category using up to three categories of data.
d. Determine "how many more" or "how many less" are in one category than in another using data organized into two or three categories. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
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17. Order three objects by length; compare the lengths of two objects indirectly by using a third object. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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2 
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1 
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18. Determine the length of an object using nonstandard units with no gaps or overlaps, expressing the length of the object with a whole number. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 1 
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4 
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1 
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1 
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19. Tell and write time to the hours and half hours using analog and digital clocks. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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20. Identify pennies and dimes by name and value. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
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21. Build and draw shapes which have defining attributes.
a. Distinguish between defining attributes and nondefining attributes.
Examples: Triangles are closed and three sided, which are defining attributes; color, orientation, and overall size are nondefining attributes. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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1 
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22. Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape. Unpacked Content
Alabama Alternate Achievement Standards

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2 
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23. Partition circles and rectangles into two and four equal shares and describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of.
a. Describe "the whole" as two of or four of the shares of circles and rectangles partitioned into two or four equal shares.
b. Explain that decomposing into more equal shares creates smaller shares of circles and rectangles. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 2 
All Resources: 
7 
Lesson Plans: 
1 
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6 

1. Use addition and subtraction within 100 to solve one and twostep word problems by using drawings and equations with a symbol for the unknown number to represent the problem. Unpacked Content


Mathematics (2019) 
Grade(s): 2 
All Resources: 
3 
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2 
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1 

2. Fluently add and subtract within 20 using mental strategies such as counting on, making ten, decomposing a number leading to ten, using the relationship between addition and subtraction, and creating equivalent but easier or known sums.
a. State automatically all sums of two onedigit numbers. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 2 
All Resources: 
1 
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3. Use concrete objects to determine whether a group of up to 20 objects is even or odd.
a. Write an equation to express an even number as a sum of two equal addends. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 2 
All Resources: 
6 
Learning Activities: 
4 
Lesson Plans: 
1 
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1 

4. Using concrete and pictorial representations and repeated addition, determine the total number of objects in a rectangular array with up to 5 rows and up to 5 columns.
a. Write an equation to express the total number of objects in a rectangular array with up to 5 rows and up to 5 columns as a sum of equal addends. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 2 
All Resources: 
0 

5. Reproduce, extend, create, and describe patterns and sequences using a variety of materials.
Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 2 
All Resources: 
5 
Learning Activities: 
1 
Lesson Plans: 
1 
Classroom Resources: 
3 

6. Explain that the three digits of a threedigit number represent amounts of hundreds, tens, and ones.
a. Explain the following threedigit numbers as special cases: 100 can be thought of as a bundle of ten tens, called a "hundred," and the numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones). Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 2 
All Resources: 
6 
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6 

7. Count within 1000 by ones, fives, tens, and hundreds. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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8. Read and write numbers to 1000 using baseten numerals, number names, and expanded form. Unpacked Content

Mathematics (2019) 
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1 
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3 

9. Compare two threedigit numbers based on the value of the hundreds, tens, and ones digits, recording the results of comparisons with the symbols >, =, and < and orally with the words "is greater than," "is equal to," and "is less than." Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 2 
All Resources: 
5 
Learning Activities: 
3 
Classroom Resources: 
2 

10. Fluently add and subtract within 100, using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 2 
All Resources: 
1 
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1 

11. Use a variety of strategies to add up to four twodigit numbers. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 2 
All Resources: 
9 
Learning Activities: 
4 
Classroom Resources: 
5 

12. Add and subtract within 1000 using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method.
a. Explain that in adding or subtracting threedigit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 2 
All Resources: 
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3 

13. Mentally add and subtract 10 or 100 to a given number between 100 and 900. Unpacked Content

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14. Explain why addition and subtraction strategies work, using place value and the properties of operations.
Note: Explanations may be supported by drawings or objects. Unpacked Content



Mathematics (2019) 
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2 
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1 
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15. Measure lengths of several objects to the nearest whole unit.
a. Create a line plot where the horizontal scale is marked off in wholenumber units to show the lengths of several measured objects. Unpacked Content

Mathematics (2019) 
Grade(s): 2 
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6 
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1 
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2 
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3 

16. Create a picture graph and bar graph to represent data with up to four categories.
a. Using information presented in a bar graph, solve simple "puttogether," "takeapart," and "compare" problems.
b. Using Venn diagrams, pictographs, and "yesno" charts, analyze data to predict an outcome. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 2 
All Resources: 
8 
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4 
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3 
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1 

17. Measure the length of an object by selecting and using standard units of measurement shown on rulers, yardsticks, meter sticks, or measuring tapes. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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18. Measure objects with two different units, and describe how the two measurements relate to each other and the size of the unit chosen. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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1 
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19. Estimate lengths using the following standard units of measurement: inches, feet, centimeters, and meters. Unpacked Content
Alabama Alternate Achievement Standards

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2 
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20. Measure to determine how much longer one object is than another, expressing the length difference of the two objects using standard units of length. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 2 
All Resources: 
4 
Learning Activities: 
3 
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1 

21. Use addition and subtraction within 100 to solve word problems involving same units of length, representing the problem with drawings (such as drawings of rulers) and/or equations with a symbol for the unknown number. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 2 
All Resources: 
4 
Lesson Plans: 
3 
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1 

22. Create a number line diagram using whole numbers and use it to represent wholenumber sums and differences within 100. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 2 
All Resources: 
2 
Learning Activities: 
1 
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1 

23. Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.
a. Express an understanding of common terms such as, but not limited to, quarter past, half past, and quarter to. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 2 
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2 
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24. Solve problems with money.
a. Identify nickels and quarters by name and value.
b. Find the value of a collection of quarters, dimes, nickels, and pennies.
c. Solve word problems by adding and subtracting within one dollar, using the $ and Â¢ symbols appropriately (not including decimal notation).
Example: 24Â¢ + 26Â¢ = 50Â¢ Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
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All Resources: 
2 
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2 

25. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.
a. Recognize and draw shapes having specified attributes.
Examples: a given number of angles or a given number of equal faces Unpacked Content
Alabama Alternate Achievement Standards

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26. Partition a rectangle into rows and columns of samesize squares, and count to find the total number of squares. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 2 
All Resources: 
1 
Learning Activities: 
1 

27. Partition circles and rectangles into two, three, or four equal shares. Describe the shares using such terms as halves, thirds, half of, or a third of, and describe the whole as two halves, three thirds, or four fourths.
a. Explain that equal shares of identical wholes need not have the same shape. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 3 
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4 
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2 
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2 

1. Illustrate the product of two whole numbers as equal groups by identifying the number of groups and the number in each group and represent as a written expression.
Unpacked Content
Alabama Alternate Achievement Standards

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4 
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2 

2. Illustrate and interpret the quotient of two whole numbers as the number of objects in each group or the number of groups when the whole is partitioned into equal shares.
Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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2 
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3. Solve word situations using multiplication and division within 100 involving equal groups, arrays, and measurement quantities; represent the situation using models, drawings, and equations with a symbol for the unknown number.
Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 3 
All Resources: 
2 
Learning Activities: 
1 
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1 

4. Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 3 
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3 
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5. Develop and apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for the properties)
Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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1 
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6. Use the relationship between multiplication and division to represent division as an equation with an unknown factor.
Unpacked Content
Alabama Alternate Achievement Standards


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Grade(s): 3 
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9 
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4 
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5 

7. Use strategies based on properties and patterns of multiplication to demonstrate fluency with multiplication and division within 100.
a. Fluently determine all products obtained by multiplying two onedigit numbers.
b. State automatically all products of two onedigit numbers by the end of third grade
Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 3 
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6 
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1 
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1 
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8. Determine and justify solutions for twostep word problems using the four operations and write an equation with a letter standing for the unknown quantity. Determine reasonableness of answers using number sense, context, mental computation, and estimation strategies including rounding. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 3 
All Resources: 
4 
Learning Activities: 
1 
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3 

9. Recognize and explain arithmetic patterns using properties of operations.
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Alabama Alternate Achievement Standards



Mathematics (2019) 
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3 
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1 
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2 

10. Identify the nearest 10 or 100 when rounding whole numbers, using place value understanding.
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Alabama Alternate Achievement Standards

Mathematics (2019) 
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6 
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1 
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2 
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11. Use various strategies to add and subtract fluently within 1000.
Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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12. Use concrete materials and pictorial models based on place value and properties of operations to find the product of a onedigit whole number by a multiple of ten (from 10 to 90). Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
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13. Demonstrate that a unit fraction represents one part of an area model or length model of a whole that has been equally partitioned; explain that a numerator greater than one indicates the number of unit pieces represented by the fraction.
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Alabama Alternate Achievement Standards

Mathematics (2019) 
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5 
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3 
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14. Interpret a fraction as a number on the number line; locate or represent fractions on a number line diagram.
a. Represent a unit fraction (^{1}/_{b}) on a number line by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts as specified by the denominator.
b. Represent a fraction (^{a}/_{b}) on a number line by marking off a lengths of size (^{1}/_{b}) from zero. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 3 
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1 
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15. Explain equivalence and compare fractions by reasoning about their size using visual fraction models and number lines.
a. Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers.
b. Compare two fractions with the same numerator or with the same denominator by reasoning about their size (recognizing that fractions must refer to the same whole for the comparison to be valid). Record comparisons using < , >, or = and justify conclusions.
Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 3 
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13 
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2 
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4 
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5 
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2 

16. For a given or collected set of data, create a scaled (onetomany) picture graph and scaled bar graph to represent a data set with several categories.
a. Determine a simple probability from a context that includes a picture.
b. Solve one and twostep "how many more" and "how many less" problems using information presented in scaled graphs.
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Alabama Alternate Achievement Standards

Mathematics (2019) 
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1 
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17. Measure lengths using rulers marked with halves and fourths of an inch to generate data and create a line plot marked off in appropriate units to display the data. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
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2 
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18. Tell and write time to the nearest minute; measure time intervals in minutes (within 90 minutes.)
a. Solve realworld problems involving addition and subtraction of time intervals in minutes by representing the problem on a number line diagram.
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Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 3 
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4 
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2 
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19. Estimate and measure liquid volumes and masses of objects using liters (l), grams (g), and kilograms (kg).
a. Use the four operations to solve onestep word problems involving masses or volumes given in the same metric units. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 3 
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5 
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20. Find the area of a rectangle with whole number side lengths by tiling without gaps or overlays and counting unit squares.
Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 3 
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5 
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21. Count unit squares (square cm, square m, square in, square ft, and improvised or nonstandard units) to determine area.
Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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22. Relate area to the operations of multiplication using realworld problems, concrete materials, mathematical reasoning, and the distributive property.
Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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23. Decompose rectilinear figures into smaller rectangles to find the area, using concrete materials. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
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1 
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24. Construct rectangles with the same perimeter and different areas or the same area and different perimeters. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
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25. Solve realworld problems involving perimeters of polygons, including finding the perimeter given the side lengths and finding an unknown side length of rectangles. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 3 
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4 
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26. Recognize and describe polygons (up to 8 sides), triangles, and quadrilaterals (rhombuses, rectangles, and squares) based on the number of sides and the presence or absence of square corners.
a. Draw examples of quadrilaterals that are and are not rhombuses, rectangles, and squares. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 4 
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4 
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3 
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1 

1. Interpret and write equations for multiplicative comparisons.
Unpacked Content
Alabama Alternate Achievement Standards

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2. Solve word problems involving multiplicative comparison using drawings and write equations to represent the problem, using a symbol for the unknown number.
Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 4 
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10 
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3 
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7 

3. Determine and justify solutions for multistep word problems, including problems where remainders must be interpreted.
a. Write equations to show solutions for multistep word problems with a letter standing for the unknown quantity.
b. Determine reasonableness of answers for multistep word problems, using mental computation and estimation strategies including rounding.
Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 4 
All Resources: 
9 
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3 
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2 
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4 

4. For whole numbers in the range 1 to 100, find all factor pairs, identifying a number as a multiple of each of its factors.
a. Determine whether a whole number in the range 1 to 100 is a multiple of a given onedigit number.
b. Determine whether a whole number in the range 1 to 100 is prime or composite.
Unpacked Content


Mathematics (2019) 
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5. Generate and analyze a number or shape pattern that follows a given rule.
Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 4 
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6. Using models and quantitative reasoning, explain that in a multidigit whole number, a digit in any place represents ten times what it represents in the place to its right. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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7. Read and write multidigit whole numbers using standard form, word form, and expanded form.
Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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8. Use place value understanding to compare two multidigit numbers using >, =, and < symbols. Unpacked Content

Mathematics (2019) 
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9. Round multidigit whole numbers to any place using place value understanding. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 4 
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6 
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2 
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1 
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10. Use place value strategies to fluently add and subtract multidigit whole numbers and connect strategies to the standard algorithm. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 4 
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10 
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11. Find the product of two factors (up to four digits by a onedigit number and two twodigit numbers), using strategies based on place value and the properties of operations.
a. Illustrate and explain the product of two factors using equations, rectangular arrays, and area models. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 4 
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8 
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4 
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12. Use strategies based on place value, properties of operations, and/or the relationship between multiplication and division to find wholenumber quotients and remainders with onedigit divisors and up to fourdigit dividends.
a. Illustrate and/or explain quotients using equations, rectangular arrays, and/or area models. Unpacked Content



Mathematics (2019) 
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8 
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2 
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6 

13. Using area and length fraction models, explain why one fraction is equivalent to another, taking into account that the number and size of the parts differ even though the two fractions themselves are the same size.
a. Apply principles of fraction equivalence to recognize and generate equivalent fractions.
Example: ^{a}/_{b} is equivalent to ^{(n x a)}/_{(nÃ— b)}. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 4 
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5 
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3 
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14. Compare two fractions with different numerators and different denominators using concrete models, benchmarks (0, Â½, 1), common denominators, and/or common numerators, recording the comparisons with symbols >, =, or <, and justifying the conclusions.
a. Explain that comparison of two fractions is valid only when the two fractions refer to the same whole. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 4 
All Resources: 
10 
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3 
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7 

15. Model and justify decompositions of fractions and explain addition and subtraction of fractions as joining or separating parts referring to the same whole.
a. Decompose a fraction as a sum of unit fractions and as a sum of fractions with the same denominator in more than one way using area models, length models, and equations.
b. Add and subtract fractions and mixed numbers with like denominators using fraction equivalence, properties of operations, and the relationship between addition and subtraction.
c. Solve word problems involving addition and subtraction of fractions and mixed numbers having like denominators, using drawings, visual fraction models, and equations to represent the problem. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 4 
All Resources: 
6 
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4 
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2 

16. Apply and extend previous understandings of multiplication to multiply a whole number times a fraction.
a. Model and explain how a nonunit fraction can be represented by a whole number times the unit fraction.
Example: ^{9}/_{8}=9 x ^{1}/_{8}
b. Extend previous understanding of multiplication to multiply a whole number times any fraction less than one.
Example: 4 x ^{2}/_{3}= ^{4 x 2}/_{3}= ^{8}/_{3}
c. Solve word problems involving multiplying a whole number times a fraction using visual fraction models and equations to represent the problem._{}
Examples: 3 x ^{1}/_{2}, 6 x ^{1}/_{8} Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 4 
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3 
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17. Express, model, and explain the equivalence between fractions with denominators of 10 and 100.
a. Use fraction equivalency to add two fractions with denominators of 10 and 100. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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18. Use models and decimal notation to represent fractions with denominators of 10 and 100. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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19. Use visual models and reasoning to compare two decimals to hundredths (referring to the same whole), recording comparisons using symbols >, =, or <, and justifying the conclusions. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 4 
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1 
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20. Interpret data in graphs (picture, bar, and line plots) to solve problems using numbers and operations.
a. Create a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2},^{1}/_{4},^{1}/_{8}).
b. Solve problems involving addition and subtraction of fractions using information presented in line plots. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 4 
All Resources: 
4 
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21. Select and use an appropriate unit of measurement for a given attribute (length, mass, liquid volume, time) within one system of units: metric  km, m, cm; kg, g, l, ml; customary  lb, oz; time  hr, min, sec.
a. Within one system of units, express measurements of a larger unit in terms of a smaller unit. Record measurement equivalents in a twocolumn table. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 4 
All Resources: 
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22. Use the four operations to solve measurement word problems with distance, intervals of time, liquid volume, mass of objects, and money.
a. Solve measurement problems involving simple fractions or decimals.
b. Solve measurement problems that require expressing measurements given in a larger unit in terms of a smaller unit.
c. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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23. Apply area and perimeter formulas for rectangles in realworld and mathematical situations. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 4 
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4 
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1 
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24. Identify an angle as a geometric shape formed wherever two rays share a common endpoint. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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5 
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1 
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1 
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25. Use a protractor to measure angles in wholenumber degrees and sketch angles of specified measure. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 4 
All Resources: 
1 
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26. Decompose an angle into nonoverlapping parts to demonstrate that the angle measure of the whole is the sum of the angle measures of the parts.
a. Solve addition and subtraction problems on a diagram to find unknown angles in realworld or mathematical problems. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 4 
All Resources: 
6 
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2 
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1 
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3 

27. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines, and identify these in twodimensional figures. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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28. Identify twodimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size.
a. Describe right triangles as a category, and identify right triangles. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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29. Define a line of symmetry for a twodimensional figure as a line across the figure such that the figure can be folded along the line into matching parts.
a. Identify linesymmetric figures and draw lines of symmetry. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 5 
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6 
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4 
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2 

1. Write, explain, and evaluate simple numerical expressions involving the four operations to solve up to twostep problems. Include expressions involving parentheses, brackets, or braces, using commutative, associative, and distributive properties. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
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2 
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2. Generate two numerical patterns using two given rules and complete an input/output table for the data.
a. Use data from an input/output table to identify apparent relationships between corresponding terms.
b. Form ordered pairs from values in an input/output table.
c. Graph ordered pairs from an input/output table on a coordinate plane. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 5 
All Resources: 
4 
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3. Using models and quantitative reasoning, explain that in a multidigit number, including decimals, a digit in any place represents ten times what it represents in the place to its right and ^{1}/_{10} of what it represents in the place to its left.
a. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, using wholenumber exponents to denote powers of 10.
b. Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10, using wholenumber exponents to denote powers of 10. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 5 
All Resources: 
9 
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1 
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7 
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1 

4. Read, write, and compare decimals to thousandths.
a. Read and write decimals to thousandths using baseten numerals, number names, and expanded form.
Example: 347.392 = 3 Ã— 100 + 4 Ã— 10 + 7 Ã— 1 + 3 Ã— (^{1}/_{10}) + 9 Ã— (^{1}/_{100}) + 2 Ã— (^{1}/_{1000}).
b. Compare two decimals to thousandths based on the meaning of the digits in each place, using >, =, and < to record the results of comparisons. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 5 
All Resources: 
5 
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1 
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5. Use place value understanding to round decimals to thousandths. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
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2 
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6. Fluently multiply multidigit whole numbers using the standard algorithm. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 5 
All Resources: 
4 
Classroom Resources: 
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7. Use strategies based on place value, properties of operations, and/or the relationship between multiplication and division to find wholenumber quotients and remainders with up to fourdigit dividends and twodigit divisors. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 5 
All Resources: 
12 
Learning Activities: 
2 
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10 

8. Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and multiplication/division; relate the strategy to a written method, and explain the reasoning used.
a. Use concrete models and drawings to solve problems with decimals to hundredths.
b. Solve problems in a realworld context with decimals to hundredths. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 5 
All Resources: 
4 
Lesson Plans: 
1 
Classroom Resources: 
3 

9. Model and solve realword problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the reasonableness of answers.
Example: Recognize an incorrect resultÂ ^{2}/_{5}+Â ^{1}/_{2}=Â ^{3}/_{7}Â by observing thatÂ ^{3}/_{7}Â <Â ^{1}/_{2}. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 5 
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6 
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2 
Lesson Plans: 
1 
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10. Add and subtract fractions and mixed numbers with unlike denominators, using fraction equivalence to calculate a sum or difference of fractions or mixed numbers with like denominators. Unpacked Content


Mathematics (2019) 
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11. Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.
a. Model and interpret a fraction as division of the numerator by the denominator (^{a}/_{b}= a Ã· b)
b. Use visual fraction models, drawings, or equations to represent word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 5 
All Resources: 
3 
Learning Activities: 
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12. Apply and extend previous understandings of multiplication to find the product of a fraction times a whole number or a fraction times a fraction.
a. Use a visual fraction model (area model, set model, or linear model) to show (^{a}/_{b}) x q and create a story context for this equation to interpret the product as a parts of a partition of q into b equal parts.
b. Use a visual fraction model (area model, set model, or linear model) to show (^{a}/_{b}) x (^{c}/_{d}) and create a story context for this equation to interpret the product.
c. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
d. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths to show that the area is the same as would be found by multiplying the side lengths. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 5 
All Resources: 
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13. Interpret multiplication as scaling (resizing).
a. Compare the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
Example: Use reasoning to determine which expression is greater? 225 or ^{3}/_{4} Ã— 225; ^{11}/_{50} or ^{3}/_{2} Ã— ^{11}/_{50}
b. Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and relate the principle of fraction equivalence.
c. Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number and relate the principle of fraction equivalence. Unpacked Content

Mathematics (2019) 
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14. Model and solve realworld problems involving multiplication of fractions and mixed numbers using visual fraction models, drawings, or equations to represent the problem. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 5 
All Resources: 
3 
Learning Activities: 
2 
Classroom Resources: 
1 

15. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
a. Solve realworld problems involving division of unit fractions by nonzero whole numbers and division of whole numbers by unit fractions and illustrate using visual fraction models, drawings, and equations to represent the problem.
b. Create a story context for a unit fraction divided by a whole number, and use a visual fraction model to show the quotient.
c. Create a story context for a whole number divided by a unit fraction, and use a visual fraction model to show the quotient. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 5 
All Resources: 
1 
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1 

16. Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
a. Add, subtract, multiply, and divide fractions to solve problems involving information presented in line plots.
Note: Division is limited to unit fractions by whole numbers and whole numbers by unit fractions. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 5 
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6 
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2 
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4 

17. Convert among differentsized standard measurement units within a given measurement system and use these conversions in solving multistep, realworld problems. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 5 
All Resources: 
0 

18. Identify volume as an attribute of solid figures, and measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised (nonstandard) units.
a. Pack a solid figure without gaps or overlaps using n unit cubes to demonstrate volume as n cubic units. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 5 
All Resources: 
2 
Lesson Plans: 
1 
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1 

19. Relate volume to the operations of multiplication and addition, and solve realworld and mathematical problems involving volume.
a. Use the associative property of multiplication to find the volume of a right rectangular prism and relate it to packing the prism with unit cubes. Show that the volume can be determined by multiplying the three edge lengths or by multiplying the height by the area of the base.
b. Apply the formulas V = l x w x h and V = B x h for rectangular prisms to find volumes of right rectangular prisms with wholenumber edge lengths in the context of solving realworld and mathematical problems.
c. Find volumes of solid figures composed of two nonoverlapping right rectangular prisms by adding the volumes of the two parts, applying this technique to solve realworld problems. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 5 
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5 
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1 
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1 
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3 

20. Graph points in the first quadrant of the coordinate plane, and interpret coordinate values of points to represent realworld and mathematical problems. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 5 
All Resources: 
1 
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1 

21. Classify triangles according to side length (isosceles, equilateral, scalene) and angle measure (acute, obtuse, right, equiangular). Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 5 
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1 
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22. Classify quadrilaterals in a hierarchy based on properties. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 5 
All Resources: 
0 

23. Explain that attributes belonging to a category of twodimensional figures also belong to all subcategories of that category.
Example: All rectangles have four right angles, and squares have four right angles, so squares are rectangles. Unpacked Content



Mathematics (2019) 
Grade(s): 6 
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3 
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1. Use appropriate notations [a/b, a to b, a:b] to represent a proportional relationship between quantities and use ratio language to describe the relationship between quantities. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 6 
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1 
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2. Use unit rates to represent and describe ratio relationships. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 6 
All Resources: 
8 
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3 
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3. Use ratio and rate reasoning to solve mathematical and realworld problems (including but not limited to percent, measurement conversion, and equivalent ratios) using a variety of models, including tables of equivalent ratios, tape diagrams, double number lines, and equations. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
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4. Interpret and compute quotients of fractions using visual models and equations to represent problems.
a. Use quotients of fractions to analyze and solve problems. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 6 
All Resources: 
1 
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5. Fluently divide multidigit whole numbers using a standard algorithm to solve realworld and mathematical problems. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 6 
All Resources: 
3 
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1 
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6. Add, subtract, multiply, and divide decimals using a standard algorithm. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 6 
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4 
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7. Use the distributive property to express the sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factor. Unpacked Content

Mathematics (2019) 
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8. Find the greatest common factor (GCF) and least common multiple (LCM) of two or more whole numbers.
a. Use factors and multiples to determine prime factorization. Unpacked Content


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9. Use signed numbers to describe quantities that have opposite directions or values and to represent quantities in realworld contexts.
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Alabama Alternate Achievement Standards

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10. Locate integers and other rational numbers on a horizontal or vertical line diagram.
a. Define opposites as numbers located on opposite sides of 0 and the same distance from 0 on a number line.
b. Use rational numbers in realworld and mathematical situations, explaining the meaning of 0 in each situation. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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11. Find the position of pairs of integers and other rational numbers on the coordinate plane.
a. Identify quadrant locations of ordered pairs on the coordinate plane based on the signs of the x and y coordinates.
b. Identify (a,b) and (a,b) as reflections across the xaxis.
c. Identify (a,b) and (a,b) as reflections across the yaxis.
d. Solve realworld and mathematical problems by graphing points in all four quadrants of the coordinate plane, including finding distances between points with the same first or second coordinate. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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12. Explain the meaning of absolute value and determine the absolute value of rational numbers in realworld contexts. Unpacked Content

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13. Compare and order rational numbers and absolute value of rational numbers with and without a number line in order to solve realworld and mathematical problems. Unpacked Content



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14. Write, evaluate, and compare expressions involving whole number exponents. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 6 
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8 
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2 
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1 
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15. Write, read, and evaluate expressions in which letters represent numbers in realworld contexts.
a. Interpret a variable as an unknown value for any number in a specified set, depending on the context.
b. Write expressions to represent verbal statements and realworld scenarios.
c. Identify parts of an expression using mathematical terms such as sum, term, product, factor, quotient, and coefficient.
d. Evaluate expressions (which may include absolute value and whole number exponents) with respect to order of operations. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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16. Generate equivalent algebraic expressions using the properties of operations, including inverse, identity, commutative, associative, and distributive. Unpacked Content

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17. Determine whether two expressions are equivalent and justify the reasoning. Unpacked Content


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18. Determine whether a value is a solution to an equation or inequality by using substitution to conclude whether a given value makes the equation or inequality true. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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19. Write and solve an equation in the form of x+p=q or px=q for cases in which p, q, and x are all nonnegative rational numbers to solve realworld and mathematical problems.
a. Interpret the solution of an equation in the context of the problem. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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20. Write and solve inequalities in the form of x>c, x<c, xâ‰¥c, or xâ‰¤c to represent a constraint or condition in a realworld or mathematical problem.
a. Interpret the solution of an inequality in the context of a problem.
b. Represent the solutions of inequalities on a number line and explain that the solution set may contain infinitely many solutions. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
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21. Identify, represent, and analyze two quantities that change in relationship to one another in realworld or mathematical situations.
a. Use tables, graphs, and equations to represent the relationship between independent and dependent variables. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
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22. Write examples and nonexamples of statistical questions, explaining that a statistical question anticipates variability in the data related to the question. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 6 
All Resources: 
7 
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23. Calculate, interpret, and compare measures of center (mean, median, mode) and variability (range and interquartile range) in realworld data sets.
a. Determine which measure of center best represents a realworld data set.
b. Interpret the measures of center and variability in the context of a problem. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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24. Represent numerical data graphically, using dot plots, line plots, histograms, stem and leaf plots, and box plots.
a. Analyze the graphical representation of data by describing the center, spread, shape (including approximately symmetric or skewed), and unusual features (including gaps, peaks, clusters, and extreme values).
b. Use graphical representations of realworld data to describe the context from which they were collected. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
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25. Graph polygons in the coordinate plane given coordinates of the vertices to solve realworld and mathematical problems.
a. Determine missing vertices of a rectangle with the same xcoordinate or the same ycoordinate when graphed in the coordinate plane.
b. Use coordinates to find the length of a side between points having the same xcoordinate or the same ycoordinate.
c. Calculate perimeter and area of a polygon graphed in the coordinate plane (limiting to polygons in which consecutive vertices have the same xcoordinate or the same ycoordinate). Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
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26. Calculate the area of triangles, special quadrilaterals, and other polygons by composing and decomposing them into known shapes.
a. Apply the techniques of composing and decomposing polygons to find area in the context of solving realworld and mathematical problems. Unpacked Content

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27. Determine the surface area of threedimensional figures by representing them with nets composed of rectangles and triangles to solve realworld and mathematical problems. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 6 
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28. Apply previous understanding of volume of right rectangular prisms to those with fractional edge lengths to solve realworld and mathematical problems.
a. Use models (cubes or drawings) and the volume formulas (V = lwh and V = Bh) to find and compare volumes of right rectangular prisms. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
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1. Calculate unit rates of length, area, and other quantities measured in like or different units that include ratios or fractions. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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2. Represent a relationship between two quantities and determine whether the two quantities are related proportionally.
a. Use equivalent ratios displayed in a table or in a graph of the relationship in the coordinate plane to determine whether a relationship between two quantities is proportional.
b. Identify the constant of proportionality (unit rate) and express the proportional relationship using multiple representations including tables, graphs, equations, diagrams, and verbal descriptions.
c. Explain in context the meaning of a point (x,y) on the graph of a proportional relationship, with special attention to the points (0,0) and (1, r) where r is the unit rate. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 7 

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3. Solve multistep percent problems in context using proportional reasoning, including simple interest, tax, gratuities, commissions, fees, markups and markdowns, percent increase, and percent decrease. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
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4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.
a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.
b. Interpret the sum of two or more rational numbers, by using a number line and in realworld contexts.
c. Explain subtraction of rational numbers as addition of additive inverses.
d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in realworld contexts.
e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.
f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a nonzero divisor) as a rational number.
g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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5. Solve realworld and mathematical problems involving the four operations of rational numbers, including complex fractions. Apply properties of operations as strategies where applicable. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
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6. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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7. Generate expressions in equivalent forms based on context and explain how the quantities are related. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
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8. Solve multistep realworld and mathematical problems involving rational numbers (integers, signed fractions and decimals), converting between forms as needed. Assess the reasonableness of answers using mental computation and estimation strategies. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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9. Use variables to represent quantities in realworld or mathematical problems and construct algebraic expressions, equations, and inequalities to solve problems by reasoning about the quantities.
a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality, and interpret it in the context of the problem. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 7 

All Resources: 
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10. Examine a sample of a population to generalize information about the population.
a. Differentiate between a sample and a population.
b. Compare sampling techniques to determine whether a sample is random and thus representative of a population, explaining that random sampling tends to produce representative samples and support valid inferences.
c. Determine whether conclusions and generalizations can be made about a population based on a sample.
d. Use data from a random sample to draw inferences about a population with an unknown characteristic of interest, generating multiple samples to gauge variation and making predictions or conclusions about the population.
e. Informally explain situations in which statistical bias may exist. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
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11. Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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12. Make informal comparative inferences about two populations using measures of center and variability and/or mean absolute deviation in context. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
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13. Use a number from 0 to 1 to represent the probability of a chance event occurring, explaining that larger numbers indicate greater likelihood of the event occurring, while a number near zero indicates an unlikely event. Unpacked Content

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14. Define and develop a probability model, including models that may or may not be uniform, where uniform models assign equal probability to all outcomes and nonuniform models involve events that are not equally likely.
a. Collect and use data to predict probabilities of events.
b. Compare probabilities from a model to observed frequencies, explaining possible sources of discrepancy. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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15. Approximate the probability of an event using data generated by a simulation (experimental probability) and compare it to the theoretical probability.
a. Observe the relative frequency of an event over the long run, using simulation or technology, and use those results to predict approximate relative frequency. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 7 

All Resources: 
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16. Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.
a. Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.
b. Design and use a simulation to generate frequencies for compound events.
c. Represent events described in everyday language in terms of outcomes in the sample space which composed the event.
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17. Solve problems involving scale drawings of geometric figures, including computation of actual lengths and areas from a scale drawing and reproduction of a scale drawing at a different scale. Unpacked Content

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18. Construct geometric shapes (freehand, using a ruler and a protractor, and using technology), given a written description or measurement constraints with an emphasis on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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19. Describe the twodimensional figures created by slicing threedimensional figures into plane sections. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
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20. Explain the relationships among circumference, diameter, area, and radius of a circle to demonstrate understanding of formulas for the area and circumference of a circle.
a. Informally derive the formula for area of a circle.
b. Solve area and circumference problems in realworld and mathematical situations involving circles. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 7 

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21. Use facts about supplementary, complementary, vertical, and adjacent angles in multistep problems to write and solve simple equations for an unknown angle in a figure. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
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22. Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right rectangular prisms. Unpacked Content
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