Module 4: Expressions and equations

Topic A: Relationships of the operations

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Module 4, Topic A: No content yet
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Topic B: Special notations of operations

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Intro to exponents
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Squaring numbers
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Intro to exponents
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Comparing exponent expressions
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Exponents of decimals
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The zeroth power
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Exponents review
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Powers of fractions
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Intro to order of operations
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Order of operations examples: exponents
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Order of operations example
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Worked example: Order of operations (PEMDAS)
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Order of operations example
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Practice

Exponents (basic)Get 5 of 7 questions to level up!
ExponentsGet 5 of 7 questions to level up!
Powers of fractionsGet 5 of 7 questions to level up!
Order of operations (no exponents)Get 3 of 4 questions to level up!
Order of operationsGet 5 of 7 questions to level up!
Order of operations challengeGet 5 of 7 questions to level up!

Topic C: Replacing letters and numbers

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What is a variable?
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Topic D: Expanding, factoring, and distributing expressions

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Expression value intuition
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Expression value intuition
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Terms, factors, & coefficients
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Terms, factors, and coefficients review
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Intro to combining like terms
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Combining like terms
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Combining like terms example
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Combining like terms with distribution
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Distributive property over addition
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Distributive property over subtraction
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Factor with the distributive property
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Distributive property with variables
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Equivalent expressions
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Practice

Expression value intuitionGet 3 of 4 questions to level up!
Parts of algebraic expressionsGet 5 of 7 questions to level up!
Combining like termsGet 5 of 7 questions to level up!
Combining like terms with distributionGet 3 of 4 questions to level up!
Factor with the distributive property (no variables)Get 5 of 7 questions to level up!
Distributive property with variablesGet 3 of 4 questions to level up!
Create equivalent expressions by factoringGet 3 of 4 questions to level up!
Factor with distributive property (variables)Get 3 of 4 questions to level up!
Equivalent expressionsGet 5 of 7 questions to level up!

Topic E: Expressing operations in algebraic form

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Writing basic expressions with variables
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Writing basic expressions with variables
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Why aren't we using the multiplication sign?
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Writing expressions with variables
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Writing expressions with variables
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Writing expressions with variables & parentheses
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Writing basic expressions word problems
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Writing basic expressions word problems
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Writing expressions word problems
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Practice

Writing basic expressions with variablesGet 5 of 7 questions to level up!
Writing expressions with variablesGet 5 of 7 questions to level up!
Writing basic expressions word problemsGet 5 of 7 questions to level up!
Writing expressions word problemsGet 5 of 7 questions to level up!

Topic F: Writing and evaluating expressions and formulas

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Evaluating an expression with one variable
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Evaluating expressions with one variable
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Evaluating expressions with variables: temperature
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Evaluating expressions with variables word problems
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Evaluating expressions with variables: cubes
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Evaluating expressions with variables: exponents
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Evaluating expressions with two variables
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Evaluating expressions with two variables
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Evaluating expressions with two variables: fractions & decimals
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Evaluating expressions with two variables: fractions & decimals
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Evaluating exponent expressions with variables
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Practice

Evaluating expressions with one variableGet 5 of 7 questions to level up!
Evaluating expressions with variables word problemsGet 3 of 4 questions to level up!
Evaluating expressions with multiple variablesGet 3 of 4 questions to level up!
Evaluating expressions with multiple variables: fractions & decimalsGet 3 of 4 questions to level up!
Variable expressions with exponentsGet 3 of 4 questions to level up!

Topic G: Solving equations

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Variables, expressions, & equations
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Testing solutions to equations
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Intro to equations
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Same thing to both sides of equations
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Representing a relationship with an equation
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One-step equations intuition
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Dividing both sides of an equation
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One-step addition & subtraction equations
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One-step subtraction equations
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One-step addition & subtraction equations
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One-step addition & subtraction equations: fractions & decimals
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One-step multiplication equations
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One-step division equations
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One-step multiplication & division equations
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One-step multiplication & division equations: fractions & decimals
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Finding mistakes in one-step equations
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Finding mistakes in one-step equations
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Practice

Identify equations, expressions, and inequalitiesGet 3 of 4 questions to level up!
Testing solutions to equationsGet 5 of 7 questions to level up!
Identify equations from visual models (tape diagrams)Get 3 of 4 questions to level up!
Identify equations from visual models (hanger diagrams)Get 3 of 4 questions to level up!
Solve equations from visual modelsGet 3 of 4 questions to level up!
One-step addition & subtraction equationsGet 5 of 7 questions to level up!
One-step addition & subtraction equations: fractions & decimalsGet 5 of 7 questions to level up!
One-step multiplication & division equationsGet 5 of 7 questions to level up!
One-step multiplication & division equations: fractions & decimalsGet 5 of 7 questions to level up!
Find the mistake in one-step equationsGet 3 of 4 questions to level up!

Topic H: Applications of equations

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Equation word problem: super yoga (1 of 2)
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Equation word problem: super yoga (2 of 2)
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Modeling with one-step equations
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Testing solutions to inequalities
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Plotting inequalities
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Plotting an inequality example
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Inequalities word problems
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Graphing inequalities review
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Dependent & independent variables
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Dependent & independent variables: graphing
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Dependent & independent variables: equation
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Practice

Translate one-step equations and solveGet 3 of 4 questions to level up!
Model with one-step equationsGet 3 of 4 questions to level up!
Model with one-step equations and solveGet 3 of 4 questions to level up!
Testing solutions to inequalities (basic)Get 3 of 4 questions to level up!
Testing solutions to inequalitiesGet 3 of 4 questions to level up!
Graphing basic inequalitiesGet 3 of 4 questions to level up!
Inequality from graphGet 3 of 4 questions to level up!
Plotting inequalitiesGet 3 of 4 questions to level up!
Inequalities word problemsGet 3 of 4 questions to level up!
Independent versus dependent variablesGet 3 of 4 questions to level up!
Tables from equations with 2 variablesGet 3 of 4 questions to level up!
Match equations to coordinates on a lineGet 3 of 4 questions to level up!
Relationships between quantities in equations and graphsGet 3 of 4 questions to level up!

About this unit

"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