1: Number Concepts/Number and Relationship Operations

1.1: Students will demonstrate number sense and apply number theory concepts.

1.1.2: read, write and order integers, rational numbers and common irrational numbers

Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

1.1.3: represent numbers in multiple ways (including via exponents, ratios, percents and proportions) and

Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

1.2: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

1.2.2: model problem situations involving rational numbers and integers

Adding Fractions (Fraction Tiles)
Adding and Subtracting Integers
Adding on the Number Line
Dividing Fractions
Dividing Mixed Numbers
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals

1.2.3: apply computational procedures (algorithms) in a wide variety of problem situations involving fractions, ratios, percents, proportions, integers and exponents

Adding Fractions (Fraction Tiles)
Estimating Sums and Differences
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers

1.2.4: apply operations to algebraic expressions to represent and solve relevant problems

Dividing Exponential Expressions
Multiplying Exponential Expressions

2: Patterns and Relations

2.1: Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.

2.1.1: analyze, generalize and create patterns and relationships to model and solve real-world and mathematical problem situations

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

2.1.2: analyze functional relationships to explain how the change in one quantity results in a change in another

Exponential Functions

2.1.4: explain the connections among algebraic and non-algebraic representations of patterns and relationships

Function Machines 1 (Functions and Tables)

2.1.5: apply algebraic methods to solve linear equations and inequalities and investigate non-linear equations

Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Functions
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Linear Inequalities in One Variable
Solving Two-Step Equations
Systems of Linear Inequalities (Slope-intercept form)

3: Shape and Space

3.1: Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

3.1.4: develop and apply a wide range of measurement formulas and procedures (including indirect measures)

Area of Triangles

3.2: Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.

3.2.3: develop and analyze the properties of transformations and use them to identify relationships involving geometric figures

Dilations
Rotations, Reflections, and Translations
Translations

4: Data Management and Probability

4.1: Students will solve problems involving the collection, display and analysis of data.

4.1.1: be aware of sampling issues and understand procedures with respect to collecting data

Describing Data Using Statistics
Polling: City
Populations and Samples
Reaction Time 2 (Graphs and Statistics)

4.1.2: construct various data displays (both manually and via technology) and decide which is/are most appropriate

Correlation
Graphing Skills
Polling: City
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

4.1.3: draw inferences and make predictions from a variety of displays of real-world data (including via curve-fitting with respect to scatterplots)

Box-and-Whisker Plots
Correlation
Graphing Skills
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

4.1.4: determine, and apply as appropriate, measures of central tendency and dispersion (e.g., range)

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

4.2: Students will represent and solve problems involving uncertainty.

4.2.1: make predictions regarding and design and carry out probability experiments and simulations, in relation to a variety of real-world situations

Geometric Probability
Independent and Dependent Events

4.2.3: determine and compare experimental and theoretical results

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability