1: Students will develop Numeric Reasoning and an understanding of Number and Operations by solving problems in which there is a need to represent and model real numbers verbally, physically, and symbolically; to explain the relationship between numbers; to determine the relative magnitude of real numbers; to use operations with understanding; and to select appropriate methods of calculations from among mental math, paper-and-pencil, calculators, or computers.

1.1: Number sense

1.1.3: Simplify numeric and symbolic expressions involving absolute value, square roots, and exponents

 Dividing Exponential Expressions
 Multiplying Exponential Expressions
 Operations with Radical Expressions
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Simplifying Radical Expressions

1.2: Operations

1.2.1: Use technology to add, subtract, and multiply with matrices in problem solving situations

 Translations

1.2.2: Solve problems that involve using inverse operations including powers and roots

 Logarithmic Functions
 Solving Two-Step Equations
 Square Roots

2: Students will develop Algebraic Reasoning and an understanding of Patterns and Functions by solving problems in which there is a need to recognize and extend a variety of patterns; to progress from the concrete to the abstract using physical models, equations, and graphs; to describe, represent, and analyze relationships among variable quantities; and to analyze, represent, model, and describe real-world functional relationships.

2.1: Patterns and change

2.1.4: Use a variety of strategies to write expressions that generate the nth term of linear, exponential, and quadratic functions

 Slope-Intercept Form of a Line

2.1.5: Distinguish between situations involving direct and inverse variations

 Direct and Inverse Variation

2.2: Representations

2.2.1: Model and solve situations involving systems of equations and inequalities

 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Linear Programming
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)
 Systems of Linear Inequalities (Slope-intercept form)

2.2.2: Determine the appropriateness of linear, exponential or quadratic models given a real-world situation

 Arithmetic Sequences
 Compound Interest
 Quadratics in Polynomial Form

2.3: Symbols

2.3.1: Solve systems of linear equations and inequalities both algebraically and using technology

 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

3: Students will develop Geometric Reasoning and an understanding of Geometry and Measurement by solving problems in which there is a need to recognize, construct, transform, analyze properties of, and discover relationships among geometric figures; and to measure to a required degree of accuracy by selecting appropriate tools and units.

3.1: Classification

3.1.1: Determine whether a triangle is a right triangle (e.g., Converse of Pythagorean Theorem, slopes of adjacent sides)

 Classifying Triangles
 Concurrent Lines, Medians, and Altitudes
 Cosine Function
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Similarity in Right Triangles
 Sine Function
 Tangent Function

3.1.2: Identify necessary and sufficient conditions that define parallelograms or triangles

 Classifying Quadrilaterals
 Parallelogram Conditions
 Special Parallelograms

3.1.3: Justify whether two figures are similar or congruent

 Constructing Congruent Segments and Angles
 Perimeters and Areas of Similar Figures
 Similar Figures
 Similarity in Right Triangles

3.1.4: Use and justify angle relationships created by intersecting and parallel lines

 Constructing Congruent Segments and Angles
 Constructing Parallel and Perpendicular Lines
 Triangle Angle Sum

3.2: Location and transformation

3.2.2: Use appropriate technologies to model geometric figures and to develop conjectures about them

 Segment and Angle Bisectors

3.3: Measurement

3.3.1: Apply trigonometric relationships to determine side lengths and angle measures of right triangle

 Cosine Function
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Tangent Function

3.3.3: Find missing dimensions of a shape given the area, volume, or surface area

 Area of Triangles
 Perimeter and Area of Rectangles
 Prisms and Cylinders
 Surface and Lateral Areas of Prisms and Cylinders

3.3.4: Apply the Pythagorean Theorem and its converse

 Circles
 Cosine Function
 Distance Formula
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Sine Function
 Surface and Lateral Areas of Pyramids and Cones
 Tangent Function

3.3.5: Develop and apply the distance and midpoint formulas

 Circles
 Distance Formula

3.3.7: Demonstrate the effects of scaling on volume and surface area of three-dimensional solids

 Surface and Lateral Areas of Prisms and Cylinders

4: Students will develop Quantitative Reasoning and an understanding of Data Analysis and Probability by solving problems in which there is a need to collect, appropriately represent, and interpret data; to make inferences or predictions and to present convincing arguments; and to model mathematical situations to determine the probability.

4.1: Collect

4.1.1: Use permutations and combinations as counting techniques

 Binomial Probabilities
 Permutations and Combinations

4.4: Probability

4.4.1: Compute and interpret expected value

 Binomial Probabilities

4.4.2: Compute the probability of both independent and dependent events

 Binomial Probabilities
 Independent and Dependent Events

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.