### 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: Demonstrate an understanding of numbers as rational or irrational

1.1.2: Compare relative sizes of real numbers

1.1.3: Estimate square roots

#### 1.2: Operations

1.2.2: Extend the ?order of operations? to include absolute value

1.2.4: Use properties of the real number system to simplify expressions (Associative, Commutative, Identity, Inverse, and Distributive)

### 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: Understand and compare the graphs, tables, and equations within linear contexts that are direct variations (proportional) and those that are not

2.1.3: Describe the effect of parameter changes on linear and exponential functions within a context, table, graph, and equation

2.1.4: Compare linear with exponential functions using, the context, table, graph, or equation

#### 2.2: Representations

2.2.1: Model and solve real-world linear situations, including linear inequalities, using tables, graphs, and symbols

2.2.2: Model and solve situations involving systems of equations with tables or graphs using technology

2.2.3: Analyze data sets using technology to find an appropriate linear or exponential mathematical model

2.2.6: Analyze the interrelationship among the table, graph and equation of both linear and exponential functions paying particular attention to the meaning of intercept and slope in the context of the problem

#### 2.3: Symbols

2.3.1: Determine symbolically the equation of a line given combinations of point, slope, and intercept information

2.3.2: Convert between equivalent forms of linear functions

2.3.3: Solve single variable equations and inequalities algebraically

### 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.

#### 3.3: Measurement

3.3.1: Demonstrate an understanding of and apply formulas for area, surface area, and volume of geometric figures including pyramids, cones, spheres, 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: Describe and explain how the validity of predictions are affected by number of trials, sample size, and the population

#### 4.2: Represent

4.2.1: Select and interpret the most appropriate display for a given purpose and set(s) of data (e.g., histograms, parallel box plots, stem-and-leaf plots, scatter plots)

#### 4.3: Analyze

4.3.2: Describe the effect of outliers in both one-variable and two-variable contexts

#### 4.4: Probability

4.4.1: Use and design simulations or experiments to determine probabilities of independent and dependent events

4.4.3: Compare event experimental probability with theoretical probability (Law of Large Numbers)

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.