I: Numeric Reasoning

I.A: Number representation

I.A.1: Compare real numbers.

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

II: Algebraic Reasoning

II.A: Expressions and equations

II.A.1: Explain and differentiate between expressions and equations using words such as "solve", "evaluate", and "simplify".

 Compound Interest
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Using Algebraic Equations
 Using Algebraic Expressions

II.B: Manipulating expressions

II.B.1: Recognize and use algebraic (field) properties, concepts, procedures, and algorithms to combine, transform, and evaluate expressions (e.g., polynomials, radicals, rational expressions).

 Compound Interest
 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

II.C: Solving equations, inequalities, and systems of equations

II.C.1: Recognize and use algebraic (field) properties, concepts, procedures, and algorithms to solve equations, inequalities, and systems of linear equations.

 Compound Inequalities
 Linear Inequalities in Two Variables
 Solving Linear Inequalities in One Variable
 Solving Linear Systems (Standard Form)

II.D: Representations

II.D.1: Interpret multiple representations of equations and relationships.

 Absolute Value Equations and Inequalities
 Introduction to Functions
 Linear Functions
 Solving Equations on the Number Line
 Using Algebraic Equations

II.D.2: Translate among multiple representations of equations and relationships.

 Absolute Value Equations and Inequalities
 Arithmetic Sequences
 Geometric Sequences
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations
 Using Algebraic Expressions

III: Geometric Reasoning

III.A: Figures and their properties

III.A.1: Identify and represent the features of plane and space figures.

 Classifying Quadrilaterals

III.A.2: Make, test, and use conjectures about one-, two-, and three-dimensional figures and their properties.

 Classifying Quadrilaterals

III.A.3: Recognize and apply right triangle relationships including basic trigonometry.

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

III.B: Transformations and symmetry

III.B.1: Identify and apply transformations to figures.

 Circles
 Dilations
 Reflections
 Rotations, Reflections, and Translations
 Translations

III.B.2: Identify the symmetries of a plane figure.

 Holiday Snowflake Designer

III.B.3: Use congruence transformations and dilations to investigate congruence, similarity, and symmetries of plane figures.

 Circles
 Dilations
 Holiday Snowflake Designer
 Reflections
 Rotations, Reflections, and Translations
 Translations

IV: Measurement Reasoning

IV.B: Systems of measurement

IV.B.1: Convert from one measurement system to another.

 Unit Conversions

IV.B.2: Convert within a single measurement system.

 Unit Conversions

IV.C: Measurement involving geometry and algebra

IV.C.1: Find the perimeter and area of two-dimensional figures.

 Area of Triangles
 Perimeter and Area of Rectangles

IV.C.2: Determine the surface area and volume of three-dimensional figures.

 Surface and Lateral Areas of Prisms and Cylinders

IV.C.3: Determine indirect measurements of figures using scale drawings, similar figures, the Pythagorean Theorem, and basic trigonometry.

 Cosine Function
 Distance Formula
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Similar Figures
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Tangent Function

IV.D: Measurement involving statistics and probability

IV.D.1: Compute and use measures of center and spread to describe data.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Stem-and-Leaf Plots

IV.D.2: Apply probabilistic measures to practical situations to make an informed decision.

 Estimating Population Size
 Probability Simulations
 Theoretical and Experimental Probability

V: Probabilistic Reasoning

V.B: Computation and interpretation of probabilities

V.B.1: Compute and interpret the probability of an event and its complement.

 Binomial Probabilities
 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

V.B.2: Compute and interpret the probability of conditional and compound events.

 Binomial Probabilities
 Independent and Dependent Events
 Theoretical and Experimental Probability

VI: Statistical Reasoning

VI.A: Data collection

VI.A.1: Plan a study.

 Polling: Neighborhood

VI.B: Describe data

VI.B.2: Select and apply appropriate visual representations of data.

 Box-and-Whisker Plots
 Correlation
 Polling: City
 Real-Time Histogram
 Stem-and-Leaf Plots

VI.B.3: Compute and describe summary statistics of data.

 Polling: City
 Real-Time Histogram

VI.C: Read, analyze, interpret, and draw conclusions from data

VI.C.1: Make predictions and draw inferences using summary statistics.

 Polling: City
 Real-Time Histogram

VI.C.2: Analyze data sets using graphs and summary statistics.

 Box-and-Whisker Plots
 Polling: City
 Real-Time Histogram

VI.C.4: Recognize reliability of statistical results.

 Polling: City
 Polling: Neighborhood
 Populations and Samples

VII: Functions

VII.A: Recognition and representation of functions

VII.A.1: Recognize whether a relation is a function.

 Introduction to Functions
 Linear Functions

VII.A.2: Recognize and distinguish between different types of functions.

 Linear Functions

VII.B: Analysis of functions

VII.B.1: Understand and analyze features of a function.

 General Form of a Rational Function
 Graphs of Polynomial Functions
 Linear Functions
 Logarithmic Functions

VII.C: Model real world situations with functions

VII.C.1: Apply known function models.

 Points, Lines, and Equations

VII.C.2: Develop a function to model a situation.

 Linear Functions

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.