### 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

1.1.1: Use i = square root of -1 to develop an awareness of other number systems

### 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

2.1.2: Explore and analyze real world problem situations involving non-financial applications of rates

#### 2.2: Representations

2.2.2: Understand the relationship between the zeros (roots) of a polynomial function and its factors

#### 2.3: Symbols

2.3.1: Use symbolic, numeric or graphical methods to solve systems of equations and/or inequalities involving linear and nonlinear contexts

2.3.2: Solve everyday problems that can be modeled using polynomial rational, exponential, logarithmic, and/or step functions, absolute value and square roots

### 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.

#### 3.2: Location and transformation

3.2.1: Explore and use other coordinate systems to describe directions and location

3.2.2: Use perspective, proportionality, and patterning to explore real world geometric applications

#### 3.3: Measurement

3.3.1: Use indirect measurement to find missing lengths of geometric figures

### 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.

#### 4.2: Represent

4.2.1: Apply and interpret z scores

4.2.2: Interpret margin of error and confidence intervals

#### 4.4: Probability

4.4.1: Use conditional probabilities to solve problems from health, public policy, and other areas

4.4.2: Use the normal distribution to calculate probabilities

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.