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