Lesson 3

Handy Facts

Est. Class Sessions: 2
X

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.
MP3.
Construct viable arguments and critique the reasoning of others.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP8.
Look for and express regularity in repeated reasoning.

Students generate the multiplication facts for 0, 1, 2, 3, 5, and 10 using constant hoppers on number lines and counting strategies. They record the facts on a blank multiplication table and look for patterns in the table entries. Students use nickels and dimes as a natural context for practicing the facts for 5 and 10.

Content in this Lesson

  • Representing multiplication problems with number lines, drawings, and number sentences [E1].
  • Using strategies to solve multiplication problems [E2].
  • Using the multiplication properties of 0 and 1 to solve multiplication problems [E3].
  • Identifying and using patterns to solve the multiplication facts for the 2s, 3s, 5s, and 10s [E5].
  • Using a multiplication table to record and retrieve multiplication facts.
  • Solving multiplication problems involving money (nickels and dimes) [E12].
X

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

number line (0–100)
counters
coins, optional
base-ten pieces, optional

Materials for Teachers

Display of Handy Constant Hoppers (Student Activity Book) Pages 259–260
Display of My Multiplication Table (Student Activity Book) Page 261
Display of 200 Chart (Student Guide) Reference
Unit 8 Assessment Record
counters
chart paper
class number line (0–130)

Materials Preparation

Make a Patterns Chart. Use several pieces of chart paper to prepare a chart titled “Patterns for Remembering the Facts.” See Figure 8 for a sample chart. The class will begin the chart in this lesson, add to it in Lessons 4 and 5, and use it to help them solve problems in Lessons 8 and 9.

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.

Assessment in this Lesson

Assessment Expectation Assessed

Practicing Handy Facts
Check-In: Questions 18–22
Student Activity Book
Pages 263–264
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).
E3.
Use the multiplication properties of 0 and 1 to solve multiplication problems.
E5.
Identify and use patterns to solve the multiplication facts for the 2s, 3s, 5s, 10s, 9s, and square numbers.