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Multiplicative Reasoning - Grades 3-8
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This unit will help students’ conceptual understanding of multiplication. Using real world examples and Unifix cubes (manipulatives), students will strengthen their understanding of multiplication.
Goals and Standards
Colorado Academic Standards:
- 3.OA.A. Operations & Algebraic Thinking: Represent and solve problems involving multiplication and division
- 3.OA.A.1 Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
- 3.OA.A.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Mathematical Practice Standards:
- Make sense of problems & persevere in solving them.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for & make use of structure.
Learning Goals:
- Students can use groups to count how many objects they see and write multiplication equations to match.
- Students can label units and show their thinking with numbers, words and pictures.
Materials List
- You will need cubes that can be stacked into towers. (Unifix cubes work well)
- Students will use the provided pre-assessment
- Students may use copies of the provided templates to record their thinking.
- Students may use the provided post-assessment.
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