Aligned Resources

North Carolina Standard Course of Study
Technical Mathematics II
Data Analysis and Probability
Competency Goal 2: The learner will use relations and functions to solve problems.

Lessons  •  Activities  •  Show All

Lessons (2)

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

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

Activities (7)

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

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

Enter a set of data points and a function or multiple functions, then manipulate those functions 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, Calculus, Modeling, Statistics, Trigonometry

Related Topics: algebra, calculus, cartesian coordinate, coordinate, coordinate plane, coordinate system, cosecant, cosine, cotangent, curve fitting, data plot, deviations, flyer, function properties, functions, graph, linear functions, logarithm, parabola, polynomial, pre-calculus, secant, sine, slides, slope, squares, tangent, trigonometry

Students compare multiple independent variables as predictors of one dependent variable. Students explore correlation and lines of best-fit.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Modeling, Statistics

Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, data plot, deviations, flyer, functions, graph, linear functions, squares

Graph recursive functions by defining f(0)=C and defining f(n) based on f(n-1).

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Discrete, Graphs, Number and Operations

Related Topics: algebra, arithmetic sequences, cartesian coordinate, coordinate plane, functions, geometric sequences, graph, iteration, recursion, recursive functions, sequences

Plot a bivariate data set, determine the line of best fit for their data, and then check the accuracy of your line of best fit.

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

Primary Subjects: Algebra, Calculus, Graphs, Statistics

Related Topics: calculus, cartesian coordinate, coordinate plane, correlation, curve fitting, data plot, deviations, residual, statistics

Students create linear inequalities and systems of linear inequalities on a coordinate plane. This is like a graphing calculator with advanced viewing options.

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

Primary Subjects: Algebra

Related Topics: algebra, cartesian coordinate, coordinate plane, data plot, function properties, functions, graph, inequality, intervals, linear equations, linear functions