# Courses of Study : Mathematics

Number of Standards matching query: 26
Operations and Algebraic Thinking
Represent and solve problems involving multiplication and division.
 Mathematics (2019) Grade(s): 3 All Resources: 7 Learning Activities: 5 Classroom Resources: 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.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.1 Using vocalization, sign language, augmentative communication, or assistive technology, model finding the sum of equal groups using repeated addition (sums within 30).

 Mathematics (2019) Grade(s): 3 All Resources: 6 Learning Activities: 4 Classroom Resources: 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.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.1 Using vocalization, sign language, augmentative communication, or assistive technology, model finding the sum of equal groups using repeated addition (sums within 30).

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

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.3 Use strategies (arrays, equal groups, manipulatives, etc.) to model multiplication and division equations to find an unknown number.

 Mathematics (2019) Grade(s): 3 All Resources: 2 Learning Activities: 1 Classroom Resources: 1
4. Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.3 Use strategies (arrays, equal groups, manipulatives, etc.) to model multiplication and division equations to find an unknown number.

Understand properties of multiplication and the relationship between multiplication and division.
Note: Students need not use formal terms for these properties.
 Mathematics (2019) Grade(s): 3 All Resources: 4 Classroom Resources: 4
5. Develop and apply properties of operations as strategies to multiply and divide.
(Students need not use formal terms for the properties)

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.3 Use strategies (arrays, equal groups, manipulatives, etc.) to model multiplication and division equations to find an unknown number.

 Mathematics (2019) Grade(s): 3 All Resources: 2 Classroom Resources: 2
6. Use the relationship between multiplication and division to represent division as an equation with an unknown factor.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.3 Use strategies (arrays, equal groups, manipulatives, etc.) to model multiplication and division equations to find an unknown number.

Multiply and divide within 100.
 Mathematics (2019) Grade(s): 3 All Resources: 9 Learning Activities: 4 Classroom Resources: 5
7. Use strategies based on properties and patterns of multiplication to demonstrate fluency with multiplication and division within 100.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.7 Demonstrate fluency of multiplication using skip counting, multiples of numbers, number charts, arrays, etc.

Solve problems involving the four operations and identify and explain patterns in arithmetic.
 Mathematics (2019) Grade(s): 3 All Resources: 6 Learning Activities: 1 Lesson Plans: 1 Classroom Resources: 4
8. Determine and justify solutions for two-step 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.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.7 Demonstrate fluency of multiplication using skip counting, multiples of numbers, number charts, arrays, etc.

 Mathematics (2019) Grade(s): 3 All Resources: 4 Learning Activities: 1 Classroom Resources: 3
9. Recognize and explain arithmetic patterns using properties of operations.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.7 Demonstrate fluency of multiplication using skip counting, multiples of numbers, number charts, arrays, etc.

Operations with Numbers: Base Ten
Use place value understanding and properties of operations to perform multi-digit arithmetic.
 Mathematics (2019) Grade(s): 3 All Resources: 3 Lesson Plans: 1 Classroom Resources: 2
10. Identify the nearest 10 or 100 when rounding whole numbers, using place value understanding.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.10 Using vocalization, sign language, augmentative communication, or assistive technology use concrete materials and pictorial models to model whole numbers.

 Mathematics (2019) Grade(s): 3 All Resources: 6 Learning Activities: 1 Lesson Plans: 2 Classroom Resources: 3
11. Use various strategies to add and subtract fluently within 1000.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.10 Using vocalization, sign language, augmentative communication, or assistive technology use concrete materials and pictorial models to model whole numbers.

 Mathematics (2019) Grade(s): 3 All Resources: 2 Classroom Resources: 2
12. Use concrete materials and pictorial models based on place value and properties of operations to find the product of a one-digit whole number by a multiple of ten (from 10 to 90).

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.10 Using vocalization, sign language, augmentative communication, or assistive technology use concrete materials and pictorial models to model whole numbers.

Operations with Numbers: Fractions
Develop understanding of fractions as numbers.
Third grade denominators are limited to 2,3,4,6,and 8 only.
 Mathematics (2019) Grade(s): 3 All Resources: 5 Classroom Resources: 5
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.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.15 Compare fractions.
M.AAS.3.15a Use models to identify two equivalent fractions (limit to fourths and halves).
M.AAS.3.15b Recognize two equivalent fractions (limit to fourths and halves).
M.AAS.3.15c Use models of fourths and halves to make a whole.

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

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.15 Compare fractions.
M.AAS.3.15a Use models to identify two equivalent fractions (limit to fourths and halves).
M.AAS.3.15b Recognize two equivalent fractions (limit to fourths and halves).
M.AAS.3.15c Use models of fourths and halves to make a whole.

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

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.15 Compare fractions.
M.AAS.3.15a Use models to identify two equivalent fractions (limit to fourths and halves).
M.AAS.3.15b Recognize two equivalent fractions (limit to fourths and halves).
M.AAS.3.15c Use models of fourths and halves to make a whole.

Data Analysis
Represent and interpret data.
 Mathematics (2019) Grade(s): 3 All Resources: 14 Learning Activities: 2 Lesson Plans: 4 Classroom Resources: 6 Unit Plans: 2
16. For a given or collected set of data, create a scaled (one-to-many) 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 two-step "how many more" and "how many less" problems using information presented in scaled graphs.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.16 Measure lengths of objects using non standard tools (paper clips). Limit to whole numbers.
M.AAS.3.17 Using vocalization, sign language, augmentative communication or assistive technology, represent and interpret data on a picture or bar graph when given a model or a graph to complete.

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

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.16 Measure lengths of objects using non standard tools (paper clips). Limit to whole numbers.
M.AAS.3.17 Using vocalization, sign language, augmentative communication or assistive technology, represent and interpret data on a picture or bar graph when given a model or a graph to complete.

Measurement
Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
 Mathematics (2019) Grade(s): 3 All Resources: 2 Classroom Resources: 2
18. Tell and write time to the nearest minute; measure time intervals in minutes (within 90 minutes.)

a. Solve real-world problems involving addition and subtraction of time intervals in minutes by representing the problem on a number line diagram.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.18 Using vocalization, sign language, augmentative communication, or assistive technology, tell time on a digital clock (to the hour, half-hour, quarter hour).

 Mathematics (2019) Grade(s): 3 All Resources: 4 Lesson Plans: 2 Classroom Resources: 2
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 one-step word problems involving masses or volumes given in the same metric units.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.19 Identify the appropriate measurement tool to measure liquids and masses of a given object.

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
 Mathematics (2019) Grade(s): 3 All Resources: 5 Classroom Resources: 5
20. Find the area of a rectangle with whole number side lengths by tiling without gaps or overlays and counting unit squares.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.20 Find the area of a given shape using arrays (unit cubes and tiles) in relationship to multiplication. Limit units to 25.

 Mathematics (2019) Grade(s): 3 All Resources: 5 Classroom Resources: 5
21. Count unit squares (square cm, square m, square in, square ft, and improvised or non-standard units) to determine area.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.20 Find the area of a given shape using arrays (unit cubes and tiles) in relationship to multiplication. Limit units to 25.

 Mathematics (2019) Grade(s): 3 All Resources: 4 Classroom Resources: 4
22. Relate area to the operations of multiplication using real-world problems, concrete materials, mathematical reasoning, and the distributive property.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.20 Find the area of a given shape using arrays (unit cubes and tiles) in relationship to multiplication. Limit units to 25.

 Mathematics (2019) Grade(s): 3 All Resources: 4 Classroom Resources: 4
23. Decompose rectilinear figures into smaller rectangles to find the area, using concrete materials.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.20 Find the area of a given shape using arrays (unit cubes and tiles) in relationship to multiplication. Limit units to 25.

Geometric measurement: Recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
 Mathematics (2019) Grade(s): 3 All Resources: 2 Classroom Resources: 2
24. Construct rectangles with the same perimeter and different areas or the same area and different perimeters.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.20 Find the area of a given shape using arrays (unit cubes and tiles) in relationship to multiplication. Limit units to 25.

Measurement
 Mathematics (2019) Grade(s): 3 All Resources: 6 Learning Activities: 3 Classroom Resources: 3
25. Solve real-world problems involving perimeters of polygons, including finding the perimeter given the side lengths and finding an unknown side length of rectangles.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.20 Find the area of a given shape using arrays (unit cubes and tiles) in relationship to multiplication. Limit units to 25.

Geometry
Reason with shapes and their attributes.
 Mathematics (2019) Grade(s): 3 All Resources: 6 Classroom Resources: 6
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.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.26 Using vocalization, sign language, augmentative communication, or assistive technology, recognize and sort polygons by their attributes (triangle, rectangle, square).