

Mathematics (2019) 
Grade(s): 5 
All Resources: 
6 
Learning Activities: 
4 
Classroom Resources: 
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) 
Grade(s): 5 
All Resources: 
2 
Classroom Resources: 
2 

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 
Classroom Resources: 
4 

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 
Lesson Plans: 
1 
Classroom Resources: 
7 
Unit Plans: 
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 × 100 + 4 × 10 + 7 × 1 + 3 × (^{1}/_{10}) + 9 × (^{1}/_{100}) + 2 × (^{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 
Learning Activities: 
1 
Lesson Plans: 
1 
Classroom Resources: 
2 
Unit Plans: 
1 

5. Use place value understanding to round decimals to thousandths. Unpacked Content
Alabama Alternate Achievement Standards


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

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: 
4 

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 
Classroom Resources: 
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 result ^{2}/_{5}+ ^{1}/_{2}= ^{3}/_{7} by observing that ^{3}/_{7} < ^{1}/_{2}. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 5 
All Resources: 
6 
Learning Activities: 
2 
Lesson Plans: 
1 
Classroom Resources: 
3 

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) 
Grade(s): 5 
All Resources: 
3 
Classroom Resources: 
3 

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 ÷ 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: 
3 

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: 
1 
Classroom Resources: 
1 

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} × 225; ^{11}/_{50} or ^{3}/_{2} × ^{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) 
Grade(s): 5 
All Resources: 
2 
Learning Activities: 
1 
Classroom Resources: 
1 

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: 
2 
Classroom Resources: 
2 

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 
All Resources: 
6 
Learning Activities: 
2 
Classroom Resources: 
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: 
2 
Classroom Resources: 
2 

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: 
3 
Lesson Plans: 
1 
Classroom Resources: 
2 

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 
All Resources: 
6 
Learning Activities: 
1 
Lesson Plans: 
1 
Classroom Resources: 
4 

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: 
2 
Learning Activities: 
1 
Classroom Resources: 
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 
All Resources: 
4 
Learning Activities: 
1 
Classroom Resources: 
3 

22. Classify quadrilaterals in a hierarchy based on properties. Unpacked Content
Alabama Alternate Achievement Standards

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

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
