Lesson 4

Patterns in Addition and Subtraction

Est. Class Sessions: 2–3
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Mathematical Standards

1.OA.A
Represent and solve problems involving addition and subtraction. (1.OA.A.1)
1.MD.C
Represent and interpret data. (1.MD.C.4)
1.NBT.C
Use place value understanding and properties of operations to add and subtract. (1.NBT.C.4)

Standards for Mathematical Practice

MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP7.
Look for and make use of structure.
MP8.
Look for and express regularity in repeated reasoning.

Students describe strategies used to solve addition and subtraction problems with larger numbers. Students skip count and use the 100 Chart and Rule Machine to look for patterns in addition and subtraction problems.

Content in this Lesson

  • Using skip counting to add and subtract multiples of ten [E3].
  • Using mental math strategies to solve addition and subtraction problems with larger numbers (e.g., 2 digit + 1 digit) [E4].
  • Representing addition problems using number sentences [E1].
  • Identifying and describing patterns in addition and subtraction problems [E6].
  • Using labels to show what numbers mean [MPE6].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books
Student Activity Book

Teacher Resources

 Teacher Guide - digital

Supplies for Student Pairs

desk number line (0–40)
connecting cubes

Materials for the Teacher

Display of 100 Chart (Student Activity Book) Reference
Display of Rule Machine Master (Teacher Guide) See Materials Preparation.
Display of Ten Frames (Student Activity Book) Reference
Display of Add and Subtract with Rule Machines (Student Activity Book) Pages 471–472
Unit 14 Assessment Record
Math Facts Class Record
9 dimes, 3 nickels, and 3 pennies
chart paper
class number line (0–130)

Materials Preparation

Prepare Displays of the Rule Machine. On a display of the Rule Machine Master write "Add 3" for the rule and the following numbers in the Input column: 8, 10, 22, 27, 30, 32. On another display of the Rule Machine, write "Add 4" for the rule and the following numbers in the Input column: 0, 9, 10, 19, 20, 29, 30.

Prepare Optional Targeted Practice. Make multiple copies of the Rule Machine Master. On each copy write an addition or subtraction rule and input numbers on the Rule Machines. Copy these pages and place them in a learning center.

Assessment in this Lesson

Assessment Expectation Assessed
Find Patterns in
Rule Machines
with Feedback Box
Student Activity Book
Pages 473–474
E1.
Represent addition and subtraction problems using counters, number lines, ten frames, drawings, or number sentences.
E4.
Use mental math strategies to solve addition and subtraction problems with larger numbers (e.g., 2 digit + 1 digit).
E6.
Identify and describe patterns in addition and subtraction problems represented in a rule machine.
DPP Item M
Fact Families
Teacher Guide - digital
E10.
Determine the unknown number in an addition or subtraction sentence relating three whole numbers for the facts in Group C.

Vocabulary in this Lesson