Academic Standards

1.12.7: Computation

1.12.7.1: Solve mathematical problems involving exponents and roots.

Operations with Radical Expressions

Square Roots

1.12.7.2: Perform addition, subtraction, and scalar multiplication on matrices.

2.12.1: Patterns

2.12.1.1: Use algebraic expressions to identify and describe the nth term of a sequence.

Arithmetic Sequences

Geometric Sequences

2.12.2: Variables and Unknowns

2.12.2.1: Isolate any variable in given equations, inequalities, proportions, and formulas to use in mathematical and practical situations.

Area of Triangles

Solving Formulas for any Variable

2.12.3: Number Sentences, Expressions, and Polynomials

2.12.3.2: Simplify algebraic expressions, including exponents and radicals.

Dividing Exponential Expressions

Multiplying Exponential Expressions

Operations with Radical Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Simplifying Radical Expressions

2.12.4: Relations and Functions

2.12.4.1: Determine the domain and range of functions, including linear, quadratic, and absolute value, algebraically and graphically.

2.12.4.2: Solve absolute value equations and inequalities both algebraically and graphically.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Compound Inequalities

2.12.5: Linear Equations and Inequalities

2.12.5.1: Solve systems of two linear equations algebraically and graphically and verify solutions (with and without technology).

Solving Linear Systems (Standard Form)

2.12.6: Algebraic Representations and Applications

2.12.6.1: Solve mathematical and practical problems involving linear and quadratic equations with a variety of methods, including discrete methods (with and without technology).

3.12.1: Comparison, Estimation, and Conversion

3.12.1.1: Estimate and convert between customary and metric systems.

3.12.3: Formulas

3.12.3.1: Select and use appropriate measurement tools, techniques, and formulas to solve problems in mathematical and practical situations.

Area of Triangles

Estimating Population Size

3.12.5: Ratios and Proportions

3.12.5.1: Determine the measure of unknown dimensions, angles, areas, and volumes using relationships and formulas to solve problems.

Area of Parallelograms

Area of Triangles

Circumference and Area of Circles

Perimeter and Area of Rectangles

Pyramids and Cones

4.12.1: Two - Dimensional Shapes

4.12.1.2: Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems.

4.12.5: Algebraic Connections

4.12.5.1: Determine the slope of lines using coordinate geometry and algebraic techniques.

Cat and Mouse (Modeling with Linear Systems)

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

4.12.5.2: Identify parallel, perpendicular, and intersecting lines by slope.

Cat and Mouse (Modeling with Linear Systems)

4.12.5.3: Graph linear equations and find possible solutions to those equations using coordinate geometry.

Point-Slope Form of a Line

Points, Lines, and Equations

4.12.5.4: Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular, or intersecting lines.

Cat and Mouse (Modeling with Linear Systems)

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

4.12.6: Lines, Angles, and Their Properties

4.12.6.1: Solve problems using complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal and angles in polygons.

Constructing Congruent Segments and Angles

Investigating Angle Theorems

Polygon Angle Sum

Triangle Angle Sum

4.12.7: Triangles

4.12.7.1: Apply the Pythagorean Theorem and its converse in mathematical and practical situations.

Circles

Cosine Function

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine Function

Surface and Lateral Areas of Pyramids and Cones

Tangent Function

4.12.8: Constructions

4.12.8.1: Solve problems by drawing and/or constructing geometric figures to demonstrate geometric relationships.

5.12.1: Data Collection and Organization

5.12.1.1: Organize statistical data through the use of tables, graphs, and matrices (with and without technology).

Describing Data Using Statistics

Stem-and-Leaf Plots

5.12.3: Interpretation of Data

5.12.3.1: Distinguish between a sample and a census.

Polling: City

Populations and Samples

5.12.3.3: Use the shape of a normal distribution to compare and analyze data from a sample.

Polling: City

Populations and Samples

5.12.4: Permutations and Combinations

5.12.4.1: Apply permutations and combinations to mathematical and practical situations, including the Fundamental Counting Principle.

Binomial Probabilities

Permutations and Combinations

5.12.5: Experimental and Theoretical Probability

5.12.5.1: Determine the probability of an event with and without replacement using sample spaces.

Geometric Probability

Independent and Dependent Events

Theoretical and Experimental Probability

5.12.5.2: Design, conduct, analyze, and effectively communicate the results of multi-stage probability experiments.

5.12.6: Statistical Inferences

5.12.6.1: Design, construct, analyze, and select an appropriate type of graphical representations to communicate the results of a statistical experiment.

Correlation

Stem-and-Leaf Plots

5.12.6.2: Formulate and justify inferences based on a valid data sample.

Polling: City

Populations and Samples

Correlation last revised: 4/4/2018

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