Aligned Resources

Common Core State Standards
Sixth Grade
Expressions and Equations
Apply and extend previous understandings of arithmetic to algebraic expressions.

Lessons  •  Activities  •  Show All

Lessons (3)

Students will graph input/output pairs from a simple linear function in order to gain an understanding of basic linear functions.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra

Related Topics: cartesian coordinate, coordinate, coordinate plane, functions, graph, linear functions, lines

Introduces the basic ideas needed for understanding functions.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Discrete

Related Topics: addition, algebra, arithmetic, dependent, functions, independent, input, integers, linear functions, multiplication, output, pattern, subtraction, variable

Introduction to various algorithms for solving single-variable, linear equations.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra

Related Topics: addition, algorithm, coefficient, fractions, inverse, multiplication, variable

Activities (10)

Students play a generalized version of connect four, gaining the chance to place a piece on the board by solving an algebraic equation. Parameters: Level of difficulty of equations to solve and type of problem. Algebra Four is one of the Interactivate assessment games.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra

Related Topics: algebra, inverse, linear equations, quadratic, solving equations

Test your algebra skills by answering questions. This quiz asks you to solve algebraic linear and quadratic equations of one variable. Choose difficulty level, question types, and time limit. Algebra Quiz is one of the Interactivate assessment quizzes.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra

Related Topics: addition, algebra, assessment, distributive, division, exponents, fractions, integers, inverse, linear equations, multiplication, negative number, polynomial, quadratic, solving equations, subtraction

This activity helps you understand how to balance an equation. You input the term and the operation. The activity uses that term and operates on both sides of the equation. It then displays the resulting equation. Equation Solver is one of the Interactivate assessment explorers.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Algebra

Related Topics: addition, algebra, assessment, division, fractions, identity, integers, inverse, linear equations, multiplication, solving equations, subtraction

Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs. Function Machine is one of the Interactivate assessment explorers.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Discrete

Related Topics: addition, algebra, arithmetic, assessment, function machine, functions, input, integers, linear equations, multiplication, output, subtraction

Students investigate linear functions by trying to guess the slope and intercept from inputs and outputs. Linear Function Machine is one of the Interactivate assessment explorers.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Discrete

Related Topics: addition, algebra, arithmetic, assessment, function machine, functions, input, integers, linear functions, multiplication, output, pattern, slope

Similar to the original "Function Machine" but lists input and output in a table and will not let the user attempt to guess the rule without having at least two data points. Number Cruncher is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Discrete, Number and Operations

Related Topics: addition, algebra, arithmetic, assessment, data plot, function machine, functions, input, linear functions, multiplication, output, solving equations, subtraction

This activity allows the user to practice order of operations with addition/subtraction, multiplication/division, exponents, and parentheses. Order of Operations Quiz is one of the Interactivate assessment quizzes.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Number and Operations

Related Topics: addition, arithmetic, assessment, associative, commutative, division, exponents, integers, multiplication, negative number, order of operations, subtraction

Students play a generalized version of connect four, gaining the chance to place a piece on the board by answering order of operations questions (addition/subtraction, multiplication/division, exponents, and parentheses). Parameters: time, difficulty level, types of questions. Order of Operations Four is one of the Interactivate assessment games.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Number and Operations

Related Topics: addition, arithmetic, assessment, associative, commutative, division, exponents, integers, multiplication, negative number, order of operations, subtraction

Students investigate linear functions with positive slopes by trying to guess the slope and intercept from inputs and outputs. Positive Linear Function Machine is one of the Interactivate assessment explorers.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Discrete

Related Topics: addition, algebra, arithmetic, assessment, function machine, functions, input, integers, linear equations, linear functions, multiplication, output, pattern, slope, solving equations

Give input to the Whole Number Cruncher and try to guess what it did from the output it generates. This activity only generates multiplication and addition functions to avoid outputting any negative numbers. Whole Number Cruncher is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Discrete, Number and Operations

Related Topics: addition, algebra, arithmetic, assessment, coordinate, function machine, functions, input, linear equations, linear functions, multiplication, output, pattern, solving equations, whole numbers