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Learning Math/CS/Engineering Design with Robotics
Section Lesson Plan
1.6. Review and Practice (Hardware Robots Optional)
1.6.1. Review: Understand Multiplication
Introduction
Grade
Grade 3
Overview

Students will review multiplication using repeated addition, a number line, and arrays. Students will also review the commutative, identiy, and zero properties of multiplication.

Learning Objectives
  • Interpret products of 1-digit whole numbers
  • Use multiplication to solve word problems in situations involving equal groups
  • Fluently multiply 1-digit numbers using the properties of multiplication
Standards
CCSS Math Standards:
  • 3.OA.A.1 Interpret products of whole numbers, e.g., interpret $5\times7$ 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 $5\times 7$.
  • 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.
  • 3.OA.B.5 Apply properties of operations as strategies to multiply and divide. Examples: If $6\times 4=24$ is known, then $4\times 6 =24$ is also known. (Commutative property of multiplication.) $3\times 5\times 2$ can be found by $3\times 5 = 15$, then $15\times 2 = 30$, or by $5\times 2=10$, then $3\times 10=30$. (Associative property of multiplication.) Knowing that $8\times 5 = 40$ and $8\times 2 = 16$, one can find $8\times 7$ as $8\times (5+2)=(8\times 5)+(8\times 2)=40+16=56$. (Distributive property.)
  • 3.OA.C.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that $8\times 5 = 40$, one knows $40\div 5 = 8$) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Vocabulary

multiplication, equal groups, factor, product, array, commutative property of multiplication, identity property of multiplication, zero property of multiplication

1.6.2. Multiplication On a Number Line