Lesson 5

Completing the Table

Est. Class Sessions: 2–3
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Mathematical Standards

3.OA.A
Represent and solve problems involving multiplication and division. (3.OA.A.1, 3.OA.A.2, 3.OA.A.3)
3.OA.B
Understand properties of multiplication and the relationship between multiplication and division. (3.OA.B.5)
3.OA.C
Multiply and divide within 100. (3.OA.C.7)
3.OA.D
Solve problems involving the four operations, and identify and explain patterns in arithmetic. (3.OA.D.9)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make sense of structure.

Students learn how to use Triangle Flash Cards to practice the multiplication facts and track their progress using their Multiplication Facts I Know charts. In this unit, students focus on developing fluency with the multiplication facts for the 5s and 10s. Students also develop the doubling strategy and the break-apart product strategy to complete the multiplication tables they began in Lesson 3.

Content in this Lesson

  • Representing multiplication problems and developing strategies for the multiplication facts with rectangular arrays [E1].
  • Representing multiplication problems with number sentences [E1].
  • Using strategies to solve multiplication problems [E2].
  • Using the multiplication properties of 0 and 1 to solve multiplication problems [E3].
  • Using turn-around facts to solve multiplication problems [E4].
  • Breaking products into the sum of simpler products to solve multiplication problems [E6].
  • Identifying and using patterns to solve the multiplication facts for the 2s, 3s, 5s, 10s, 9s, and square numbers [E5].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide
Student Activity Book

Teacher Resources

 Teacher Guide - digital

Supplies for Students

red and yellow crayons or pencils
calculator
counters
My Multiplication Table, partially completed in Lessons 3 and 4 (Student Activity Book) Page 261
Triangle Flash Cards: 5s and Triangle Flash Cards: 10s
scissors
envelope for storing flash cards

Materials for the Teacher

Display of first Completing the Table page (Student Guide) Page 204
Display of first two Break-Apart Products pages (Student Activity Book) Pages 281–282
Display of My Multiplication Table from Lessons 3 and 4 (Student Activity Book) Page 261
Display of Multiplication Table Master (Teacher Guide)
Display of first page Patterns for the Nines (Student Activity Book) Page 287
Unit 8 Assessment Record
Math Facts Class Record
Demonstration set of Triangle Flash Cards: 5s
calculator
Patterns for Remembering the Facts class chart from Lessons 3 and 4

Materials Preparation

Subtraction Flash Cards. Students received and prepared the Subtraction Flash Cards for Groups 7–8 in the earlier units and these cards were provided in Unit 6. If needed, copy both sides of the Subtraction Flash Cards on heavier paper or card stock. Have students cut apart each set and store them in an envelope. Provide each student with two sets, one to use at school and one to take home.

Triangle Flash Cards. Prepare copies of the Triangle Flash Cards on heavier paper or card stock. Have students cut apart each set and store them in an envelope. You may want to provide each student with two sets, one to use at school and one to take home.

Small Multiplication Tables. Make copies of the Small Multiplication Table Master on heavier paper or card stock. Provide each student with two small tables. One should be attached to their desk or a folder for use at school. The other should be attached to a folder for use at home.

Assessment in this Lesson

Assessment Expectation Assessed

Completing the Table
Multiplication Facts and Triangle Flash Cards
Self-Check
Student Guide
Page 204
E12.
Demonstrate fluency with the multiplication facts for the 5s and 10s.

Completing the Table
Homework section
Check-In: Questions 25–27
Student Guide
Page 206
with corresponding Feedback Box
Teacher Guide - digital
E1.
Represent multiplication and division problems with number lines, drawings, rectangular arrays, and number sentences.
E2.
Use strategies to solve multiplication and division problems (e.g., skip counting, repeated addition, repeated subtraction, reasoning from known facts, and invented).
E5.
Identify and use patterns to solve the multiplication facts for the 2s, 3s, 5s, 10s, 9s, and square numbers.

Break-Apart Products
Check-In: Question 13
Student Activity Book
Page 286
E1.
Represent multiplication and division problems with number lines, drawings, rectangular arrays, and number sentences.
E2.
Use strategies to solve multiplication and division problems (e.g., skip counting, repeated addition, repeated subtraction, reasoning from known facts, and invented).
E6.
Break apart products into the sum of simpler products to solve multiplication problems (applying the distributive property of multiplication over addition).

DPP Item O
Subtraction Flash Cards: Groups 7 and 8
Teacher Guide - digital
E10.
Use mental strategies to subtract for the facts in Groups 5–8.

Vocabulary in this Lesson