Aligned Resources

North Carolina Standard Course of Study
Grade 7
Number and Operations, Measurement, Geometry, Data Analysis and Probability, Algebra
COMPETENCY GOAL 5: The learner will demonstrate an understanding of linear relations and fundamental algebraic concepts.

Lessons  •  Activities  •  Show All

Lessons (5)

Introduces students to plotting points on the Cartesian coordinate system -- an alternative to "Graphing and the Coordinate Plane."

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

Primary Subjects: Algebra, Geometry, Statistics

Related Topics: cartesian coordinate, coordinate, coordinate plane, coordinate system, functions, graph, linear equations, linear functions, negative number, planes, slope

Students learn basic ideas about graphing points on the coordinate plane.

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

Primary Subjects: Algebra, Geometry

Related Topics: algebra, axis, cartesian coordinate, coordinate, coordinate plane, coordinate system, graph, linear functions, lines, negative number, number line, pattern, planes, positive number, quadrant, slope

Introduces the basic ideas needed for understanding linear functions.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Discrete

Related Topics: addition, algebra, arithmetic, associative, commutative, dependent, distributive, division, equivalent, function properties, functions, independent, input, integers, intercept, linear equations, linear functions, multiplication, order of operations, output, pattern, slope, subtraction, table, variable

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 (18)

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 play a generalized version of connect four, gaining the chance to place a piece after simplifying fractions, converting fractions to decimals and percentages, and answering algebra questions involving fractions. Choose difficulty level, question types, and time. Fraction Four is one of the Interactivate assessment games.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Algebra, Fractions, Number and Operations

Related Topics: addition, algebra, arithmetic, decimals, division, fractions, mixed numbers, multiplication, percentages, percents, rational numbers, solving equations, subtraction

Test your fraction skills by answering questions. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. Choose difficulty level, question types, and time. Fraction Quiz is one of the Interactivate assessment quizzes.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Algebra, Fractions, Number and Operations

Related Topics: addition, algebra, arithmetic, decimals, division, divisors, fractions, integers, mixed numbers, multiplication, percentages, percents, 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

Investigate the Cartesian coordinate system through identifying the coordinates of a randomly generated point, or requesting that a particular point be plotted. General Coordinates Game is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Algebra, Geometry

Related Topics: algebra, assessment, cartesian coordinate, coordinate, coordinate plane, coordinate system, graph

Students can create graphs of functions entered as algebraic expressions -- similar to a graphing calculator.

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

Primary Subjects: Algebra, Calculus, Graphs, Trigonometry

Related Topics: algebra, calculus, cartesian coordinate, coordinate plane, cosecant, cosine, cotangent, functions, graph, inverse, linear equations, linear functions, logarithm, parabola, polynomial, positive part of the operand, pre-calculus, range, secant, sine, slope, tangent, trigonometry

Create graphs of functions and sets of ordered pairs on the same coordinate plane. This is like a graphing calculator with advanced viewing options.

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

Primary Subjects: Algebra, Calculus, Graphs, Statistics, Trigonometry

Related Topics: algebra, calculus, cartesian coordinate, coordinate, coordinate plane, coordinate system, cosecant, cosine, cotangent, curve fitting, data plot, exponential, exponents, function properties, functions, graph, graph theory, intervals, linear equations, linear functions, logarithm, parabola, polynomial, positive part of the operand, pre-calculus, range, secant, sine, slope, tangent, trigonometry

This applet allows the user to make observations about the relationship between speed and position and how both of these are affected by initial velocity and the incline on which the biker is traveling.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Modeling

Related Topics: algebra, distance, functions, graph, parabola, pre-calculus, scale, simulation

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

Investigate the Cartesian coordinate system by directing a robot through a mine field laid out on the plane. Maze Game is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Algebra, Geometry, Graphs

Related Topics: cartesian coordinate, coordinate, coordinate plane, coordinate system, graph

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

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

Investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of randomly generated points, or requesting that a particular point be plotted. Simple Coordinates Game is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Algebra, Geometry, Graphs

Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, graph, integers

Investigate the first quardant of the Cartesian coordinate system by directing a robot through a mine field laid out on the grid. Simple Maze Game is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Algebra, Geometry, Graphs

Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, distance, graph

Plot ordered pairs of numbers, either as a scatter plot or with the dots connected. Points are connected from right to left, rather than being connected in the order they are entered.

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

Primary Subjects: Algebra, Geometry, Graphs, Statistics

Related Topics: cartesian coordinate, coordinate plane, coordinate system, data plot, decimals, graph

Similar to other "flyers", Slope Slider uses slider bars to explore the effect of the multiplier and constant on a linear function of the form f(x)=mx+b. Explore the relationship between slope and intercept in the Cartesian coordinate system.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Graphs

Related Topics: algebra, cartesian coordinate, coordinate plane, decimals, flyer, fractions, function properties, functions, graph, intercept, linear equations, linear functions, slides, slope