Chessboard Algebra and Function Machines
Common Core State Standards
Math 
Math 
4 
Grade 4 
OA 
Operations & Algebraic Thinking 
A 
Use the four operations with whole numbers to solve problems 
2 
Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. 
Download Common Core State Standards (PDF 1.2 MB) 
Common Core State Standards
Math 
Math 
4 
Grade 4 
OA 
Operations & Algebraic Thinking 
C 
Generate and analyze patterns 
5 
Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule "Add 3" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way. 
Download Common Core State Standards (PDF 1.2 MB) 

Tch SpecialWhich One Doesn't Belong: Fourth & Fifth GradeGrades 45 / Math / Tch DIYMath.4.G.A.2 / Math.4.G.A.3
 4
 4

Tch SpecialMultiplication Number Talk: Fourth & Fifth GradeGrades 45 / Math / Tch DIYMath.4.NBT.B.5
 21
 11

Lesson Idea (Common Core)Fractions with BorrowingGrade 4 / Math / FractionsMath.5.NF.A.1
 77
 27

Lesson IdeaLaunching a Fractions TaskGrade 4 / Math / ModelingMath.4.NF.B.3a / Math.4.NF.B.3c
 66
 10

Tch SpecialDot Image Math Routine: Fourth GradeGrade 4 / Math / Tch DIYMath.4.NF.B.4a / Math.4.NF.B.4b
 32

Tch SpecialNotice & Wonder Math Routine: Fourth GradeGrade 4 / Math / Tch DIYMath.4.NF.A.1
 3

Teaching PracticeFormative Assessment: Understanding FractionsGrades 34 / Math / FractionsMath.3.NF.A.1 / Math.Practice.MP1 / Math.Practice.MP2
 45
 23

Lesson Idea (Common Core)Games for DecimalsGrade 4 / Math / Decimal GamesMath.5.NBT.B.7
 89
 61
 Lesson Objective
 Students find the rule that determines the number of chessboard squares
 Length
 6 min
 Questions to Consider
 See how Ms. Bottomley uses a function machine to have students predict the rule
 How does the lesson help students see the difference between additive and multiplicative patterns?
 What about the lesson helps students be successful with this complex pattern?
 Common Core Standards
 Math.4.OA.A.2, Math.4.OA.C.5
Supporting Materials

Chessboard Algebra Lesson Planning Two
Part two of Chessboard Algebra lesson planning

Chessboard Algebra Lesson Planning Pack
Chessboard Algebra lesson planning overview

Chessboard Algebra Lesson Plan Presentation
PowerPoint Presentation for Chessboard Algebra lesson