ExploreLearning Gizmos: Math & Science Virtual Labs and Simulations

1: The learner will operate with complex numbers and vectors to solve problems.

1.02: Define and compute with complex numbers.

Points in the Complex Plane - Activity A

2: The learner will describe geometric figures in the coordinate plane algebraically.

2.01: Use the quadratic relations (parabola, circle, ellipse, hyperbola) to model and solve problems; justify results.

2.01.a: Solve using tables, graphs, and algebraic properties.

Ellipse - Activity A
Hyperbola - Activity A
Parabolas - Activity A

2.01.b: Interpret the constants and coefficients in the context of the problem.

Ellipse - Activity A
Hyperbola - Activity A
Parabolas - Activity A

2.02: Estimate the area and volume of continuously varying quantities.

Prisms and Cylinders - Activity A

3: The learner will analyze data to solve problems.

3.01: Analyze univariate data to solve problems.

3.01.c: Determine measures of central tendency and spread.

Describing Data Using Statistics
Line Plots
Mean, Median and Mode

3.01.e: Interpret graphical displays of distributions of univariate data.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots

3.01.f: Compare distributions of univariate data.

Populations and Samples

3.02: Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions of bivariate data to solve problems.

3.02.a: Interpret the constants, coefficients, and bases in the context of the data.

Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Function Machines 2 (Functions, Tables, and Graphs)
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Sine Function
Tangent Function

4: The learner will use relations and functions to solve problems.

4.01: Use functions (polynomial, power, rational, exponential, logarithmic, logistic, piecewise-defined, and greatest integer) to model and solve problems; justify results.

4.01.a: Solve using graphs and algebraic properties.

Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Rational Functions

4.01.b: Interpret the constants, coefficients, and bases in the context of the problem.

Exponential Functions - Activity A
General Form of a Rational Function
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Rational Functions

4.02: Use recursively-defined functions to model and solve problems.

4.02.d: Translate between recursive and explicit representations.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

4.03: Use the composition and inverse of functions to model and solve problems.

Function Machines 3 (Functions and Problem Solving)

4.04: Use trigonometric and inverse trigonometric functions to model and solve problems.

4.04.a: Solve using graphs and algebraic properties.

Cosine Function
Sine Function
Tangent Function

4.04.b: Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts.

Dilations
Reflections
Rotations, Reflections and Translations
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A

4.05: Use polar equations to model and solve problems.

4.05.a: Solve using graphs and algebraic properties.

Defining a Line with Two Points
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line

4.06: Use parametric equations to model and solve problems.

Modeling and Solving Two-Step Equations

4.07: Find the rate of change at any point of a function.

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs

Correlation last revised: 9/3/2015

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

North Carolina- Mathematics: Integrated Mathematics 4