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: Identify relationships and make generalizations through the use of patterns.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

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

1.2.a: Represent and analyze mathematical relationships with the help of tables, graphs, equations and inequalities.

Function Machines 1 (Functions and Tables)

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: Relate whole numbers, fractions, decimals and integers to number lines, scales, the coordinate plane and problem- solving situations.

Adding and Subtracting Integers
City Tour (Coordinates)
Comparing and Ordering Decimals
Elevator Operator (Line Graphs)
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Integers, Opposites, and Absolute Values
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Multiplying with Decimals
Percents, Fractions, and Decimals
Points in the Coordinate Plane
Proportions and Common Multipliers
Sums and Differences with Decimals
Treasure Hunter (Decimals on the Number Line)

2.1.c: Interpret and connect fraction notation to division.

Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

2.1.d: Compare quantities and solve problems using ratios, rates and percents.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents, Fractions, and Decimals
Proportions and Common Multipliers
Rational Numbers, Opposites, and Absolute Values
Real-Time Histogram
Road Trip (Problem Solving)
Time Estimation

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

2.2.b: Describe when products or quotients with fractions and decimals can yield a larger or smaller result than either factor.

Square Roots

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

3.1: Use properties and characteristics of two- and three-dimensional shapes and geometric theorems to describe relationships, communicate ideas and solve problems.

3.1.a: Classify polygons according to their properties.

Classifying Triangles

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

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

Estimating Population Size

3.3.b: Use specific ratios to convert between measures of length, area, volume, mass and capacity in the customary and metric systems.

Unit Conversions

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: Display and compare sets of data using various systematic or graphical representations.

Box-and-Whisker Plots
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

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

4.2.a: Describe the shape of data sets using the measures of spread and central tendency.

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: Understand that probabilities are more reliable to use as predictors when there is a large number of trials.

Theoretical and Experimental Probability

4.3.b: Express probability using various numerical representations.

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