Multiplication and Division, Part 2

Lesson 7

Math

Unit 3

3rd Grade

Lesson 7 of 23

Objective


Build fluency with multiplication and division facts using units of 7.

Common Core Standards


Core Standards

  • 3.OA.A.4 — Determine the unknown whole number in a multiplication or division equation relating three whole numbers. Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = _ ÷ 3, 6 × 6 = ?
  • 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 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

Foundational Standards

  • 3.NBT.A.2
  • 3.OA.A.1
  • 3.OA.A.2

Criteria for Success


  1. Skip-count by sevens. 
  2. Use mental strategies, such as making ten, to find unknown terms in the count-by sequence for seven. 
  3. Determine the unknown whole number in a multiplication or division equation relating three whole numbers, one of which is seven, including equations where the unknown is represented with a letter.

Tips for Teachers


Lesson Materials

  • partially filled-in multiplication tables (1 per student) — These were started in Lesson 1 using a Blank Multiplication Table. See Anchor Task 3 for more information.
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Anchor Tasks

25-30 minutes


Problem 1

How many?

Guiding Questions

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Student Response

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Problem 2

Determine the value of the unknown in each equation below.

a.   $$a = 7 \times 8$$

b.   $$42 \div b =7$$

c.   $$49 = 7 \times c$$

d.   $$d\div 7 = 9$$

Guiding Questions

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Student Response

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Problem 3

Here is the partially filled-in multiplication table from Lessons 1 and 6.

x 1 2 3 4 5 6 7 8 9 10
1 1 2 3 4 5 6 7 8 9 10
2 2 4 6 8 10 12 14 16 18 20
3 3 6 9 12 15 18 21 24 27 30
4 4 8 12 16 20 24 28 32 36 40
5 5 10 15 20 25 30 35 40 45 50
6 6 12 18 24 30 36 42 48 54 60
7 7 14 21 28 35 42       70
8 8 16 24 32 40 48       80
9 9 18 27 36 45 54       90
10 10 20 30 40 50 60 70 80 90 100

Add the new facts you encountered in this lesson to your multiplication table. 

Guiding Questions

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Student Response

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Problem Set

15-20 minutes


Discussion of Problem Set

  • Which problems in #3 were the most difficult? Why? 
  • For what other facts does it make sense to use Gary’s mental strategy in #5? Why? 
  • How does #6 show that you can switch the order of factors in a multiplication expression and not change its value? 
  • Let’s fill out more of the multiplication table based on what we’ve learned today. Do you notice anything about the 7 row/column in relationship with other rows/columns on the multiplication table?

Target Task

5-10 minutes


Problem 1

Which statements are true? Select the three correct answers.

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Student Response

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Problem 2

Determine the value of the unknown in each equation below.

a.   $$a = 7\times 6$$

b.   $$63 \div b = 7$$

Student Response

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Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Next

Use the associative property as a strategy to multiply by units of 6.

Lesson 8
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Introduction to The Properties of Operations

Topic B: Multiplication and Division by 6 and 7

Topic C: Multiplication and Division by 8 and 9

Topic D: Multiplication and Division by Values Greater than 10

Topic E: Two-Step Word Problems and Patterns in Arithmetic

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