Aligned Resources

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 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

Introduces students to the vertical line test for graphs of functions.

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

Primary Subjects: Algebra, Discrete

Related Topics: algebra, cartesian coordinate, constant, continuous distribution, coordinate, coordinate plane, discontinuous, function properties, functions, graph, input, linear equations, linear functions, lines, output, piecewise, vertical line test

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 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

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

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

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