➕ 6th Grade Math · Unit 6
Expressions and Equations
22 short narrated lessons in 5 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.
Standards: 6.EE.A.1 6.EE.A.2 6.EE.B.6 6.EE.A.3 6.EE.A.4 6.EE.B.5 6.EE.B.7 6.EE.C.9
What your child will learn
Exponents and order of operations
- What Are Exponents?Write repeated multiplication with a base and an exponent, like two to the fifth power.
- Evaluating PowersEvaluate numerical expressions with whole-number exponents, including powers of fractions and decimals.
- Order of Operations with ExponentsEvaluate expressions using the order of operations, doing exponents before multiplication and division.
- Exponents and Order of Operations Review ReviewReview exponents and order of operations.
Variables and expressions
- Writing Expressions with VariablesWrite expressions for phrases like five less than a number or the product of three and a number.
- Parts of an ExpressionName the parts of an expression, such as terms, factors, coefficients and sums.
- Evaluating ExpressionsEvaluate an expression like the formula for the volume of a cube when the variable is given a value.
- Variables and Expressions Review ReviewReview writing, reading and evaluating expressions with variables.
Equivalent expressions
- Combining Like TermsRewrite expressions by combining like terms, like y plus y plus y becoming three y.
- DistributingUse the distributive property to rewrite an expression like three times the sum of two and x as six plus three x.
- Factoring ExpressionsUse the distributive property to rewrite a sum like twenty-four x plus eighteen y as six times a sum.
- Equivalent Expressions Review ReviewReview writing equivalent expressions.
Solving equations
- What Is a Solution?Decide whether a value makes an equation true by substituting it for the variable.
- Solving Addition EquationsSolve equations like x plus p equals q by subtracting the same amount from both sides.
- Solving Multiplication EquationsSolve equations like p times x equals q by dividing both sides by the same number.
- Writing Equations for Word ProblemsWrite and solve a one-step equation to answer a real-world problem.
- Solving Equations Review ReviewReview writing and solving one-step equations.
Relationships between variables
- Independent and Dependent VariablesTell which variable is independent and which depends on it, like cost depending on how many tickets are bought.
- Tables and EquationsWrite an equation like d equals sixty-five t from a table of values that shows how two quantities change together.
- Graphs of RelationshipsGraph the pairs from a table on the coordinate plane and use the graph to describe the relationship.
- Relationships Between Variables Review ReviewReview how one variable depends on another.
- Unit 6 Test: Expressions and EquationsShow what you learned in the whole unit (Exponents and order of operations, Variables and expressions, Equivalent expressions, Solving equations, Relationships between variables) by answering mixed questions.
Try a question from this unit
From the lesson “What Are Exponents?”
Which shows 7 × 7 × 7 × 7 × 7 written as a power?
Show the answer
7⁵. The factor 7 repeats, so 7 is the base, and it appears 5 times, so the exponent is 5. The choice 5⁷ switches the base and the exponent. It would mean 5 used as a factor seven times.
Hint kids see after a wrong try: “Find the factor that repeats. Then count how many times it appears.”
Key words
- exponent
- base
- power
- evaluate
- squared
- cubed
- order of operations
- expression
- term
- coefficient
- factor
- formula
- like terms
- distributive property
- equation
- solution
- substitute
- inverse operation
- word problem
- independent variable
- dependent variable
- table
- graph
- coordinate plane
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Narrated lessons, pictures and quizzes for every grade from K to 8. Works offline.
