Arithmetic Patterns

Videos, examples, and solutions to help Grade 3 students learn how to reason about and explain arithmetic patterns using units of 0 and 1 as they relate to multiplication and division.

Common Core Standards: 3.OA.3, 3.OA.7, 3.OA.8, 3.OA.9, 3.OA.1, 3.OA.2, 3.OA.4, 3.OA.6

New York State Common Core Math Grade 3, Module 3, Lesson 16

Worksheet for Common Core Grade 3, Module 3, Lesson 16

Multiply & Divide 9 Worksheet Sprint A
Multiply & Divide 9 Worksheet Sprint B
Multiply or Divide by 0 or 1 Worksheet

Concept Development

Problem 1: Multiply and divide using units of 1.
Problem 2: Multiply and divide using units of 0.

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Lesson 16 Homework

1. Solve.
   a. 4 × 1 = ______
   b. 4 × 0 = _____
   c. _____ × 1 = 5
   d. _____ ÷ 5 = 0
   e. 6 × _____ = 6
   f. _____ ÷ 6 = 0
   g. 0 ÷ 7 = _____
   h. 7 × _____ = 0
   i. 8 ÷ _____ = 8
   j. _____ × 8 = 8
   k. 9 × _____ = 9
   l. 9 ÷ _____ = 1
   
   
2. Let c = 8. Then determine whether the equations are true or false.
   a. c × 0 = 8
   b. 0 × c = 0
   c. c × 1 = 8
   d. 1 × c = 8
   e. 0 ÷ c = 8
   f. 8 ÷ c = 1
   g. 0 ÷ c = 0
   h. c ÷ 0 = 8
   

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Lesson 16 Homework

4. Rajan says that any number multiplied by 1 equals that number.
a. Write a multiplication equation using n to represent Rajan’s statement.
b. Using your equation from Part (a), let n = 5 and draw a picture to show that the new equation is true.

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