Aligned Resources

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

Demonstrates the connections between formulas and graphs.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra

Related Topics: algebra, cartesian coordinate, constant, coordinate, coordinate plane, coordinate system, functions, graph, input, intercept, linear equations, linear functions, lines, negative number, output, parabola, slope

Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.

Audiences: Grades 9-12

Primary Subjects: Algebra, Discrete, Modeling, Statistics

Related Topics: cartesian coordinate, coordinate, coordinate plane, coordinate system, distance, function properties, functions, graph, intervals, linear equations, linear functions, lines, pattern, time, vertical line test

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

Demonstrates the connections between formulas, graphs and words.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Modeling, Statistics

Related Topics: acceleration, algebra, cartesian coordinate, concave, constant, coordinate, coordinate plane, coordinate system, distance, functions, graph, intervals, linear equations, linear functions, lines, parabola, slope, time, velocity

Decode encrypted messages to determine the form for an affine cipher, and practice your reasoning and arithmetic skills. Input your guesses for the multiplier and constant. Caesar Cipher III is one of the Interactivate assessment explorers.

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

Primary Subjects: Algebra, Discrete, Number and Operations

Related Topics: addition, arithmetic, assessment, cipher, cryptography, division, functions, modular, multiplication, pattern, remainders

Enter a set of data points, then derive a function to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.

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

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

Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, cosecant, cosine, cotangent, curve fitting, data plot, deviations, exponential, exponents, function properties, functions, graph, grouping, integers, intervals, inverse, linear equations, linear functions, logarithm, multiplication, 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

Review the properties of functions by looking at ten different curves and deciding whether or not they meet the criteria for a graph of a function. This activity simply displays the curves - it does not quiz the user.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Discrete

Related Topics: coordinate plane, function properties, functions, graph, linear functions, lines, pre-calculus, vertical line test

Learn about the vertical line test for functions by trying to connect points in the plane to build a function. When you have connected all of the points, you will be told if your graph is a valid graph of a function. Vertical Line Test is one of the Interactivate assessment explorers.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Discrete, Graphs

Related Topics: cartesian coordinate, coordinate plane, function properties, functions, graph, lines, pre-calculus, vertical line test