Academic Standards

IM3.1.1: Find the zeros, domain and range of a function.

Functions Involving Square Roots

Introduction to Functions

Rational Functions

IM3.1.4: Analyze, describe and sketch graphs of quadratic functions and include the lines of symmetry.

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

IM3.1.5: Determine how the graph of a parabola changes if a, b and c changes in the equation y = a(x - b)² + c. Find an equation for a parabola when given sufficient information.

Parabolas - Activity A

Translating and Scaling Functions

IM3.1.7: Analyze, describe and sketch graphs of polynomial functions by examining intercepts, zeros, domain and range, and end behavior.

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Polynomials and Linear Factors

IM3.1.9: Perform arithmetic operations, including long division and division with remainders, on polynomials by others of equal or lower degree.

Addition of Polynomials - Activity A

Dividing Polynomials Using Synthetic Division

IM3.1.10: Factor polynomials completely and solve polynomial equations by factoring.

Dividing Polynomials Using Synthetic Division

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

IM3.1.14: Analyze, describe and sketch graphs of rational functions by examining intercepts, zeros, domain and range, and asymptotic and end behavior.

General Form of a Rational Function

Rational Functions

IM3.1.16: Understand the properties of rational exponents and use the properties to simplify, multiply, divide and find powers of expressions containing negative and fractional exponents. Relate expressions containing rational exponents to the corresponding radical expressions.

Dividing Exponential Expressions

Exponents and Power Rules

IM3.1.17: Analyze, describe and sketch graphs of square root and cube root functions by examining intercepts, zeros, domain and range, and end behavior.

Functions Involving Square Roots

Polynomials and Linear Factors

Radical Functions

IM3.1.19: Solve problems that can be modeled using equations involving rational and radical functions, including problems of direct and inverse variation. Interpret the solutions and determine whether the solutions are reasonable.

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

Functions Involving Square Roots

General Form of a Rational Function

Radical Functions

Rational Functions

IM3.1.20: Analyze, describe and sketch graphs of exponential functions by examining intercepts, zeros, domain and range, and asymptotic and end behavior.

Exponential Functions - Activity A

IM3.1.21: Know that the inverse of an exponential function is a logarithm. Use laws of exponents to derive laws of logarithms. Use the inverse relationship between exponential functions and logarithms and the laws of logarithms to solve problems.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

IM3.1.24: Write the recursive formula for arithmetic and geometric sequences and find specified terms of arithmetic and geometric sequences.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

IM3.1.25: Write the formula for the general term for arithmetic and geometric sequences and make connections to linear and exponential functions.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Exponential Functions - Activity A

Geometric Sequences

IM3.1.27: Solve problems involving applications that can be modeled using sequences and finite arithmetic and geometric series. Interpret the solutions and determine whether the solutions are reasonable using spreadsheets as appropriate.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

IM3.2.1: Represent geometric objects and figures algebraically using coordinates, use algebra to solve geometric problems, and develop simple coordinate proofs involving geometric objects in the coordinate plane.

Classifying Quadrilaterals - Activity B

IM3.2.2: Construct triangles congruent to given triangles. Explain and justify the process used.

Congruence in Right Triangles

Proving Triangles Congruent

IM3.2.3: Develop simple geometric proofs involving triangles and provide reasons for each statement of the proof.

IM3.2.4: Find the equation of a circle in the coordinate plane in terms of its center and radius and determine how the graph of a circle changes if a, b and r are changed in the equation (x - a)² + (y - b)² = r².

IM3.2.5: Find and use measures of sides, volumes and surface areas of prisms, regular pyramids, cylinders, right circular cones and spheres. Relate these measures to each other using formulas.

Prisms and Cylinders - Activity A

Surface and Lateral Area of Prisms and Cylinders

IM3.2.6: Visualize solids and surfaces in three-dimensional space when given two-dimensional representations, and create two-dimensional representations for the surfaces of three-dimensional objects.

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

IM3.3.1: Use simulations to explore the variability of sample statistics from a known population and to construct sampling distributions.

IM3.3.4: Compute basic statistics (mean, median, weighted mean, range, variance, standard deviation) and understand the distinction between a statistic and a parameter.

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

IM3.3.6: Use simulations to construct empirical probability distributions.

Geometric Probability - Activity A

Probability Simulations

Theoretical and Experimental Probability

IM3.3.9: Compute the probability of compound events.

Compound Independent Events

Compound Independent and Dependent Events

IM3.4.5: Explain and illustrate the role of definitions, conjectures, theorems, proofs and counterexamples in mathematical reasoning. Construct logical arguments, assess the validity of logical arguments and give counterexamples to disprove statements.

IM3.4.6: Model and solve problems involving patterns using recursion and iteration, growth and decay, and compound interest.

Arithmetic and Geometric Sequences

Simple and Compound Interest

Correlation last revised: 1/20/2017

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