### 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

#### 1.2: Operations

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

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

2.1.5: Distinguish between situations involving direct and inverse variations

#### 2.2: Representations

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

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

#### 2.3: Symbols

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

### 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)

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

3.1.3: Justify whether two figures are similar or congruent

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

#### 3.2: Location and transformation

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

#### 3.3: Measurement

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

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

3.3.4: Apply the Pythagorean Theorem and its converse

3.3.5: Develop and apply the distance and midpoint formulas

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

### 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

#### 4.4: Probability

4.4.1: Compute and interpret expected value

4.4.2: Compute the probability of both independent and dependent events

Correlation last revised: 5/9/2018

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