Lesson 6

Use Doubles

Est. Class Sessions: 2
X

Mathematical Standards

2.OA.A
Represent and solve problems involving addition and subtraction. (2.OA.A.1)
2.OA.B
Add and subtract within 20. (2.OA.B.2)
2.MD.B
Relate addition and subtraction to length. (2.MD.B.6)
2.MD.C
Work with time and money. (2.MD.C.8)

Standards for Mathematical Practice

MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.
MP8.
Look for and express regularity in repeated reasoning.

Students practice finding doubles and using doubles to solve the doubles and near doubles addition facts. Students use a rule machine and ten frames to support their reasoning strategies for solving the doubles and near doubles.

Content in this Lesson

  • Representing addition and subtraction situations using multiple representations (e.g., drawings, counters, number sentences, ten frames) [E1].
  • Using mental math strategies and reasoning strategies (e.g., using doubles, making ten) to solve addition problems within 20 [E2].
  • Using addition and subtraction to solve word problems [E3].
  • Analyzing patterns in a table or rule machine.

Daily Practice and Problems Q–T

Q. Make Ten

R. Make Ten

S. Near Doubles

T. Doubles

X

Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Book

Student Activity Book

Teacher Resources

Teacher Guide - digital

Supplies for Students

20 connecting cubes
scissors
envelope or small resealable bag

Supplies for Student Pairs

10 of the same color game markers for each player (connecting cubes, square tiles)
clear plastic spinner or pencil and paper clip
connecting cubes

Materials for the Teacher

Display set of Doubles and Near Doubles Ten Frames Cards Masters (Teacher Guide)
Display set of Doubles and Near Doubles Bump Game Board (Student Activity Book) Page 31
Display set of Doubles and Near Doubles Bump Spinners (Student Activity Book) Page 30
Unit 1 Assessment Record
Reasoning Strategy charts from Lesson 3
Two of Everything by Lily Toy Hong
60 connecting cubes. See Materials Preparation.
large pot or bag. See Materials Preparation.
white paper. See Materials Preparation.
markers or crayons
tape
10 of the same color game markers for each player (connecting cubes, square tiles)
clear plastic spinner or pencil and paper clip
chart paper

Materials Preparation

Prepare a Magic Pot. Find a large pot or bag. Place several cube trains in the pot to simulate doubling. For example, place trains of 6 cubes, 8 cubes, 2 cubes, 10 cubes, and 12 cubes into the pot to show the double of 3, 4, 1, 5, and 6 cubes.

Prepare Rule Machine Rows. Fold sheets of paper in half lengthwise and then fold the paper in half in the other direction and in half again, so that each sheet of paper has 8 boxes. See Figure 1. Draw a line along the middle fold. Cut apart the four rows. These will serve as rows of a rule machine. Make a few rows for each student. Using a marker, write "Input" and "Output" on one of these rows and attach it to the board. Choose a different input for each student. For example, use the numbers 2 – 20, 100; 30; 50; or draw simple pictures. Record each different input on the left side of the row. Each student will need an input to double and an input that will be doubled +1. You will also need a few blank rows for demonstration purposes. See Figure 2.

image

Figure 1: Paper folded into 8 boxes            Figure 2: Example of a Doubles Rule Machine

Prepare Rows for Magic Pot. Use several of the rule machine rows to complete data for different rule machines. These will be displayed during the lesson. See Figure 3.

image

Figure 3: Rule Machine rows to prepare

Prepare Doubles and Near Doubles Ten Frame Cards. Copy the Doubles and Near Doubles Ten Frames Cards Masters onto card stock or heavy paper and cut them apart for each student. Place each set in an envelope or resealable bag. You need a display set as well. Students will use these cards again in Lesson 9.

Spinners. If you do not have clear plastic spinners to place over the spinners page in the Doubles and Near Doubles Bump pages, students can use paper clips and pencils. Straighten out one end of the paper clip, and place a pencil through the curved end. Then put the point of the pencil on the center of the spinner, and spin the paper clip around the pencil, using the straightened end as the pointer. See Figure 4.

image

Figure 4: Using a paper clip and pencil as a spinner

Assessment in this Lesson

Assessment Expectation Assessed
Solve Doubles and Near Doubles
Student Activity Book
Pages 33–34
E1.
Represent addition and subtraction situations using multiple representations (e.g., stories, drawings, counters, number sentences, number lines, diagrams, ten frames).
E2.
Use mental math strategies and reasoning strategies (e.g., using doubles, making ten) to solve addition and subtraction problems within 20.