Grade 6 Mathematics Module 4

Studying for Test

Grade 6 Module 4: Expressions and Equations

In Module 4, Expressions and Equations, students extend their arithmetic work to include using letters to represent numbers in order to understand that letters are simply "stand-ins" for numbers and that arithmetic is carried out exactly as it is with numbers. Students explore operations in terms of verbal expressions and determine that arithmetic properties hold true with expressions because nothing has changed—they are still doing arithmetic with numbers. Students determine that letters are used to represent specific but unknown numbers and are used to make statements or identities that are true for all numbers or a range of numbers. They understand the relationships of operations and use them to generate equivalent expressions, ultimately extending arithmetic properties from manipulating numbers to manipulating expressions. Students read, write and evaluate expressions in order to develop and evaluate formulas. From there, they move to the study of true and false number sentences, where students conclude that solving an equation is the process of determining the number(s) that, when substituted for the variable, result in a true sentence. They conclude the module using arithmetic properties, identities, bar models, and finally algebra to solve one-step, two-step, and multi-step equations.

Downloadable Resources

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Grade 6 Mathematics Module 4: Teacher Materials (10.81 MB)
Grade 6 Mathematics Module 4: Student Materials (2.94 MB)
Grade 6 Mathematics Module 4: Copy Ready Materials (1.61 MB)
Grade 6 Mathematics Module 4: Module Overview (739.32 KB)
Grade 6 Mathematics Module 4: Module Overview (332.84 KB)
Grade 6 Mathematics Module 4: Mid-Module Assessment (1.07 MB)
Grade 6 Mathematics Module 4: Mid-Module Assessment (2.77 MB)
Grade 6 Mathematics Module 4: End-of-Module Assessment (1.11 MB)
Grade 6 Mathematics Module 4: End-of-Module Assessment (2.01 MB)
Grade 6 Mathematics Module 4: Topic Overviews - Zip file of Word documents (5.75 MB)
Grade 6 Mathematics Module 4: Teacher Materials - Zip file of Word documents (34.46 MB)
Grade 6 Mathematics Module 4: Student Materials - Zip file of Word documents (22.49 MB)
Grade 6 Mathematics Module 4: Bengali - Zip file of PDF documents (6.67 MB)
Grade 6 Mathematics Module 4: Bengali - Zip file of Word documents (6.02 MB)
Grade 6 Mathematics Module 4: Simplified Chinese - Zip Folder of PDF Files (5.35 MB)
Grade 6 Mathematics Module 4: Simplified Chinese - Zip Folder of Word Documents (5.83 MB)
Grade 6 Mathematics Module 4: Spanish - Zip Folder of PDF Files (8.11 MB)
Grade 6 Mathematics Module 4: Spanish - Zip Folder of Word Documents (5.67 MB)
Grade 6 Mathematics Module 4: Traditional Chinese - Zip Folder of PDF Files (7.34 MB)
Grade 6 Mathematics Module 4: Traditional Chinese - Zip Folder of Word Documents (5.38 MB)

Common Core Learning Standards

CCLS State Standard
6.EE.1 Write and evaluate numerical expressions involving whole-number exponents.
6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.3 Apply the properties of operations to generate equivalent expressions.

Curriculum Map