Module 4

This course is a part of 6th grade (Eureka Math/EngageNY), a 6-course Topic series from Khan Academy.

"With their sense of number expanded to include negative numbers, in Module 4 students begin formal study of algebraic expressions and equations. Students learn equivalent expressions by continuously relating algebraic expressions back to arithmetic and the properties of arithmetic (commutative, associative, and distributive). They write, interpret, and use expressions and equations as they reason about and solve one-variable equations and inequalities and analyze quantitative relationships between two variables." Eureka Math/EngageNY (c) 2015 GreatMinds.org

This course contains 8 segments:

Topic A: Relationships of the operations

Topic A includes lessons 1-4 and covers the relationship of addition and subtraction, the relationship of multiplication and division, the relationship of multiplication and addition, and the relationship of division and subtraction.

Topic B: Special notations of operations

Topic B includes lessons 5-6 and covers exponents and order of operations.

Topic C: Replacing letters and numbers

Topic C includes lessons 7-8 and covers replacing letters with numbers and replacing numbers with letters. (Currently, we do not have content for Lessons 7 and 8.)

Topic D: Expanding, factoring, and distributing expressions

Topic D includes lessons 9-14 and covers writing addition and subtraction expressions, writing and expanding multiplication expressions, factoring expressions, distributing expressions, and writing division expressions.

Topic E: Expressing operations in algebraic form

Topic E includes lessons 15-17 and covers reading expressions in which letters stand for numbers and writing expressions in which letters stand for numbers.

Topic F: Writing and evaluating expressions and formulas

Topic F includes lessons 18-22 and covers writing and evaluating expressions—addition and subtraction, substituting to evaluate addition and subtraction expressions, writing and evaluating expressions—multiplication and division, writing and evaluating expressions—multiplication and addition, and writing and evaluating expressions—exponents.

Topic G: Solving equations

Topic G includes lessons 23-29 and covers true and false number sentences, finding solutions to make equations true, one-step equations, two-step problems, and multi-step problems. (Currently, we do not have content for Lessons 28 and 29.)

Topic H: Applications of equations

Topic H includes lessons 30-34 and covers one-step problems in the real world, problems in mathematical terms, multi-step problems in the real world, from equations to inequalities, and writing and graphing inequalities in real-world problems.