General Information
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Test Item Specifications
All values in items may not exceed whole number multiplication facts of 10 x 10 or the related division facts.
No
No context
Sample Test Items (3)
Test Item # | Question | Difficulty | Type |
Sample Item 1 | An equation is shown. 4 × 9 = 9 × [ ] What is the missing value?
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N/A | MC: Multiple Choice |
Sample Item 2 | Select all the expressions that could be used to find 6 × 10.
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N/A | MS: Multiselect |
Sample Item 3 | Which expression is equivalent to 7 × (2 + 3)?
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N/A | MC: Multiple Choice |
Related Courses
Course Number1111 | Course Title222 |
5012050: | Grade Three Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
7712040: | Access Mathematics Grade 3 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current)) |
5012055: | Grade 3 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current)) |
5012015: | Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current)) |
Related Resources
Educational Game
Name | Description |
Who Wants to be a Mathionaire? | This online game replicates the popular "Who Wants to be a Millionaire?" format, using multiplication facts. It's a fun way for kids to practice multiplication! |
Formative Assessments
Name | Description |
Using the Associative Property of Multiplication | Students are asked to find the product of three numbers and are observed to see if they use the Associative Property to find the product more easily. |
Break Apart and Put Together | Students are given two arrays, one representing the equation 7 x 9 = 63 and the other representing the equation (5 + 2) x 9 = 63, to see if they recognize a relationship between the two. |
Meeting the Reading Goal | Students are given two problems to solve, one represented by the equation 4 x 6 = 24 and the other by the equation 6 x 4 = 24, to see if they recognize the answer to the second problem based on the Commutative Property. |
Does It Work for Division? | Students are asked if the Commutative Property holds for division. |
Lesson Plans
Name | Description |
Partial Products with Arrays | In this inquiry-based lesson, students will use the distributive property to find partial products of arrays to solve multiplication problems. They will also move from a concrete representation of arrays using manipulatives to a pictorial representation. |
Candy Apple Fun | Students will learn how to solve one-digit by two-digit multiplication problems using the distributive property. |
Simplifying Multiplication with the Distributive Property | In this lesson, students will use arrays to understand the distributive property of multiplication and to demonstrate that multiplying a multiplicand by two factors of the multiplier and then adding their products is the same as finding the product of the multiplicand and the multiplier. For example: 5 x 9 = 5(6 + 3) = (5 x 6) + (5 x 3) = 30 + 15 = 45. |
Decomposing Arrays, an Introduction to the Distributive Property | ResourceID: 73249 |
The Distributive Property, Revealed! with a 100-dot matrix | This lesson is designed as an introduction to the Distributive Property by using a 100-dot matrix. The lesson addresses one-digit x one-digit multiplication challenges as a precursor to one-digit x two-digit multiplication. |
Zero on a Hero (Exploring the Zero Property of Multiplication) | Students will explore the Zero Property of Multiplication using array and equal-group models for multiplication. Students will model story problems, translate problems into multiplication facts, and identify patterns in a set of multiplication facts to develop understanding of the Zero Property of Multiplication. |
One with a Bun (Exploring the Multiplicative Identity Property of 1) | In this lesson students will explore the Multiplicative Identity Property of 1, using array and equal-group models for multiplication. Students will model story problems, translate problems into multiplication equations, and identify patterns in a set of multiplication facts to develop understanding of the Multiplicative Identity Property of 1. |
Hungry Zero | The definition of the Zero Property of Multiplication will be analyzed, modeled and practiced. |
Efficient Multiplication | Students will engage with questions to evaluate the students' abilities to select and apply multiplication strategies with fluency and efficiency. The focus of the lesson is decomposing numbers to multiply using the Distributive property and understanding and applying the Commutative property. Then, students will reinforce decomposing of factors while playing Decomposition of Factors. The lesson concludes with a real world application problem on an Exit Slip. |
Fall Fun and Games! (Exploring the Commutative Property of Multiplication) | In this lesson, students will build and manipulate a variety of arrays in the context of creating games for a Fall Festival. They will practice using the Commutative Property of Multiplication to find related multiplication facts. |
Amazing Arrays | This is a hands-on lesson for introducing and practicing building arrays to create models that represent the distributive property of multiplication, and then using those arrays to draw models of the equations they represent. |
Original Student Tutorial
Name | Description |
Monkeying Around with Multiplication: Commutative Property | Learn strategies, like the commutative property, to help you become better at multiplying in this interactive tutorial. |
Teaching Ideas
Name | Description |
Shamu Math-SeaWorld Classroom Activity | In this activity, the students demonstrate that numbers can be used to describe various quantities and relationships between quantities. Students gain experience adding, subtracting, multiplying, and dividing - building their understanding of how numbers are put together and taken apart. Students connect what they know to symbolic representation using number sentences. |
A Square of Numbers (problem to solve using addition, subtraction, multiplication, division) | A problem for students to solve using students' understanding of the operations of addition, subtraction, multiplication, and division. The problem presents an opportunity for students to appreciate the value of approaching a solution in a systematic way using what they know about the structure of operations. |
Tutorials
Name | Description |
Explanation of the distributive property of multiplication | In this video tutorial from Khan Academy, explore the distributive property of multiplication: Why does it work? How does it work? Why would I put it to use? |
Commutative and Associative Properties of Multiplication | In this video tutorial from Khan Academy, use arrays to explore the commutative and associative properties of multiplication. |
Commutative and Associative Properties of Addition and Multiplication |
|
Unit/Lesson Sequence
Name | Description |
Computation Through Literature | This collection of 10 lessons uses children's literature to engage students in addition, subtraction, multiplication, and division. The lesson arrangement is flexible and adaptable for any scope and sequence. |
Student Resources
Original Student Tutorial
Name | Description |
Monkeying Around with Multiplication: Commutative Property: | Learn strategies, like the commutative property, to help you become better at multiplying in this interactive tutorial. |
Tutorials
Name | Description |
Explanation of the distributive property of multiplication: | In this video tutorial from Khan Academy, explore the distributive property of multiplication: Why does it work? How does it work? Why would I put it to use? |
Commutative and Associative Properties of Multiplication: | In this video tutorial from Khan Academy, use arrays to explore the commutative and associative properties of multiplication. |
Commutative and Associative Properties of Addition and Multiplication: |
|
Parent Resources
Tutorials
Name | Description |
Explanation of the distributive property of multiplication: | In this video tutorial from Khan Academy, explore the distributive property of multiplication: Why does it work? How does it work? Why would I put it to use? |
Commutative and Associative Properties of Multiplication: | In this video tutorial from Khan Academy, use arrays to explore the commutative and associative properties of multiplication. |
Commutative and Associative Properties of Addition and Multiplication: |
|