1: Patterns and functional relationships can be represented and analyzed using a variety of strategies, tools and technologies.

1.1: Understand and describe patterns and functional relationships.

1.1.a: Analyze physical phenomena and patterns to identify relationships and make generalizations.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

1.2: Represent and analyze quantitative relationships in a variety of ways.

1.2.a: Describe the effects of characteristics of mathematical relationships on the way the relationships are represented.

Function Machines 1 (Functions and Tables)
Points, Lines, and Equations

1.3: Use operations, properties and algebraic symbols to determine equivalence and solve problems.

1.3.a: Solve problems using a variety of algebraic methods.

Linear Inequalities in Two Variables
Solving Equations on the Number Line
Using Algebraic Expressions

2: Quantitative relationships can be expressed numerically in multiple ways in order to make connections and simplify calculations using a variety of strategies, tools and technologies.

2.1: Understand that a variety of numerical representa-tions can be used to describe quantitative relation-ships.

2.1.a: Represent real-world situations and solutions to problems using the appropriate symbolic form (fractions, decimals or percents).

Multiplying with Decimals
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Proportions and Common Multipliers
Real-Time Histogram
Sums and Differences with Decimals
Using Algebraic Expressions

2.1.b: Understand the use of scientific notation as related to powers of ten as an efficient method for writing and comparing very large numbers.

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

2.2: Use numbers and their properties to compute flexibly and fluently, and to reasonably estimate measures and quantities.

2.2.a: Extend the operations of addition, subtraction, multiplication and division to negative numbers.

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials

3: Shapes and structures can be analyzed, visualized, measured and transformed using a variety of strategies, tools and technologies.

3.2: Use spatial reasoning, location and geometric relationships to solve problems.

3.2.a: Understand how 3-dimensional objects can be represented in 2 dimensions using base plans (footprints), orthogonal views, nets and isometric drawings.

3D and Orthographic Views
Surface and Lateral Areas of Prisms and Cylinders

3.3: Develop and apply units, systems, formulas and appropriate tools to estimate and measure.

3.3.a: Solve geometric and measurement problems through the use of a variety of tools, techniques and strategies

Estimating Population Size

4: Data can be analyzed to make informed decisions using a variety of strategies, tools and technologies.

4.1: Collect, organize and display data using appropriate statistical and graphical methods

4.1.a: Select the appropriate visual representation of data based on the kind of data collected and the purpose for their use.

Correlation
Describing Data Using Statistics
Graphing Skills
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

4.2: Analyze data sets to form hypotheses and make predictions.

4.2.a: Understand that measures of central tendency and spread can be used to describe data sets and justify conclusions.

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

4.3: Understand and apply basic concepts of probability.

4.3.a: Compare and determine experimental and theoretical probabilities.

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