Lesson 4

Square Number Patterns

Est. Class Sessions: 2
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Mathematical Standards

5.OA.B
Analyze patterns and relationships. (5.OA.B.3)

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.
MP4.
Model with mathematics.
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 explore number patterns involving square numbers. They make data tables and draw graphs to analyze how square number patterns grow. They write rules and formulas to describe the growth and make predictions. Students compare the growth of two different kinds of patterns and their corresponding graphs: those built from the multiples of a number (straight lines) and those built from the squares of numbers (curves).

Content in this Lesson

  • Identifying and finding square numbers [E1].
  • Identifying and describing number patterns [E3].
  • Using variables in formulas to represent number patterns and make predictions [E4].
  • Representing number patterns using words, tables, and graphs [E8].
  • Making predictions and generalizations using data tables and graphs [E9].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide

Teacher Resources

 Teacher Guide - digital

Supplies for Students

  • 25 square-inch tiles (5 red, 5 orange, 5 yellow, 5 green, 5 blue)
  • calculator

Materials for the Teacher

Materials Preparation

Prepare Square-Inch Tiles. Prepare bags of square-inch tiles. As with Lesson 3, each bag should contain 5 tiles of each color for a total of 25 tiles per bag. For this lesson, students will work in groups of four and combine their tiles so they have 100 tiles for the activity.

Assessment in this Lesson

Assessment Expectation Assessed

Square Number Patterns
Check-In:
Questions 12–13
Student Guide
Page 441
and the corresponding
Feedback Box
Teacher Guide - digital
E3.
Identify and describe number patterns.
E4.
Use variables in formulas to represent number patterns and make predictions.
E8.
Represent number patterns using words, tables, and graphs.
E9.
Make predictions and generalizations using data tables and graphs.

Vocabulary in this Lesson