1: Number Concepts/Number and Relationship Operations

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

1.1.1: demonstrate an understanding of number meanings with respect to integers and rational and irrational numbers, and explore their use in meaningful situations

Rational Numbers, Opposites, and Absolute Values

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

Comparing and Ordering Decimals
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 apply appropriate representations to solve problems

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

Estimating Population Size

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

Estimating Sums and Differences
Fraction Garden (Comparing Fractions)
Toy Factory (Set Models of Fractions)

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

Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

1.2.5: apply estimation techniques to predict, and justify the reasonableness of, results in relevant problem situations involving rational numbers and integers

Estimating Sums and Differences

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

Function Machines 1 (Functions and Tables)
Points, Lines, and Equations
Translating and Scaling Functions
Zap It! Game

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

Compound Inequalities
Linear Functions
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Equations by Graphing Each Side
Solving Linear Inequalities in One Variable
Solving Two-Step Equations

3: Shape and Space

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

3.1.3: estimate and apply measurement concepts in relevant problem situations and use tools and units which reflect an appropriate degree of accuracy

Estimating Population Size

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

Area of Triangles
Estimating Population Size

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

3.2.2: compare and classify geometric figures, understand and apply geometric properties and relationships, and represent geometric figures via coordinates

Classifying Quadrilaterals
Parallelogram Conditions
Perimeters and Areas of Similar Figures
Similar Figures

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)
Real-Time Histogram

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

Box-and-Whisker Plots
Correlation
Graphing Skills
Reaction Time 2 (Graphs and Statistics)
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

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)
Populations and Samples
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

Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

4.2.2: derive theoretical probabilities, using a range of formal and informal techniques

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

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