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

 Rational Numbers, Opposites, and Absolute Values

1.1.2: Compare relative sizes of real numbers

 Comparing and Ordering Decimals
 Rational Numbers, Opposites, and Absolute Values

1.1.3: Estimate square roots

 Square Roots

1.2: Operations

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

 Rational Numbers, Opposites, and Absolute Values

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

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Operations with Radical Expressions
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations I
 Solving Algebraic Equations II

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

 Absolute Value with Linear Functions
 Arithmetic Sequences
 Compound Interest
 Direct and Inverse Variation
 Exponential Functions
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Linear Functions
 Points, Lines, and Equations
 Slope-Intercept Form of a Line

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

 Absolute Value with Linear Functions
 Introduction to Exponential Functions
 Points, Lines, and Equations
 Slope-Intercept Form of a Line

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

 Absolute Value with Linear Functions
 Exponential Functions
 Linear Functions
 Logarithmic Functions

2.2: Representations

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

 Slope-Intercept Form of a Line
 Systems of Linear Inequalities (Slope-intercept form)
 Using Algebraic Expressions

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

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

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

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines

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

 Cat and Mouse (Modeling with Linear Systems)
 Compound Interest
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Logarithmic Functions
 Slope-Intercept Form of a Line

2.3: Symbols

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

 Linear Inequalities in Two Variables
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Standard Form of a Line

2.3.2: Convert between equivalent forms of linear functions

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Linear Functions
 Points, Lines, and Equations

2.3.3: Solve single variable equations and inequalities algebraically

 Absolute Value Equations and Inequalities
 Compound Inequalities
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Equations on the Number Line
 Solving Linear Inequalities in One Variable
 Solving Two-Step Equations

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

 Area of Parallelograms
 Area of Triangles
 Perimeter and Area of Rectangles
 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

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

 Polling: City

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)

 Box-and-Whisker Plots
 Correlation
 Histograms
 Least-Squares Best Fit Lines
 Real-Time Histogram
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

4.3: Analyze

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

 Describing Data Using Statistics
 Least-Squares Best Fit Lines
 Mean, Median, and Mode

4.4: Probability

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

 Binomial Probabilities
 Independent and Dependent Events

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

 Theoretical and Experimental Probability

Correlation last revised: 1/20/2017

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