1.6.1: Place Value

1.6.1.1: Identify and use place value positions to thousandths.

Comparing and Ordering Decimals
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals
Treasure Hunter (Decimals on the Number Line)

1.6.2: Fractions

1.6.2.1: Add and subtract fractions with unlike denominators.

Adding Fractions (Fraction Tiles)
Estimating Sums and Differences
Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Modeling Fractions (Area Models)

1.6.2.2: Multiply and divide with fractions using models, drawings, and numbers.

Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

1.6.2.3: Use models to translate among fractions, decimals, and percents.

Modeling Decimals (Area and Grid Models)
Percents, Fractions, and Decimals

1.6.3: Comparing and Ordering

1.6.3.1: Read, write, compare, and order groups of fractions, groups of decimals, and groups of percents.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Rational Numbers, Opposites, and Absolute Values
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

1.6.5: Facts

1.6.5.1: Identify equivalent expressions between and among fractions, decimals, and percents.

Modeling Decimals (Area and Grid Models)
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

1.6.6: Estimating and Estimation Strategies

1.6.6.1: Estimate using fractions, decimals, and percents.

Estimating Sums and Differences
Multiplying Decimals (Area Model)
Multiplying with Decimals
Proportions and Common Multipliers
Sums and Differences with Decimals

1.6.6.2: Use estimation strategies in mathematical and practical situations.

Estimating Sums and Differences
Multiplying Decimals (Area Model)

1.6.7: Computation

1.6.7.1: Calculate using fractions, decimals, and percents in mathematical and practical situations.

Estimating Sums and Differences
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
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
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

1.6.7.2: Use order of operations to evaluate expressions with integers.

Order of Operations

1.6.8: Solving Problems and Number Theory

1.6.8.1: Use the concepts of number theory, including prime and composite numbers, factors, multiples, and the rules of divisibility to solve problems.

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Finding Factors with Area Models
Operations with Radical Expressions

2.6.1: Patterns

2.6.1.1: Use and create tables and charts to extend a pattern in order to describe a rule for input/output tables and to find missing terms in a sequence.

Function Machines 1 (Functions and Tables)

2.6.2: Variables and Unknowns

2.6.2.2: Solve and graphically represent equations and simple inequalities in one variable.

Absolute Value with Linear Functions
Compound Inequalities
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable

2.6.3: Number Sentences, Expressions, and Polynomials

2.6.3.1: Write simple expressions and equations using variables to represent mathematical situations.

Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Algebraic Equations I
Solving Equations on the Number Line
Using Algebraic Equations

2.6.4: Relations and Functions

2.6.4.1: When given a rule relating two variables, create a table and represent the ordered pairs on a coordinate plane.

Points, Lines, and Equations

3.6.3: Formulas

3.6.3.1: Select, model, and apply formulas to find the perimeter, circumference, and area of plane figures.

Area of Parallelograms
Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Circumference and Area of Circles
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles

3.6.4: Money

3.6.4.1: Compare and use unit cost in practical situations.

Household Energy Usage

4.6.3: Coordinate Geometry and Lines of Symmetry

4.6.3.1: Using a coordinate plane, identify and locate points.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations
Slope

4.6.3.2: Graph coordinates representing geometric shapes in all four quadrants on a coordinate plane.

Points in the Coordinate Plane

4.6.4: Three - Dimensional Figures

4.6.4.1: Make a model of a three-dimensional prism from a two-dimensional drawing.

Surface and Lateral Areas of Prisms and Cylinders

4.6.4.2: Make a two-dimensional drawing of a three-dimensional prism.

Surface and Lateral Areas of Prisms and Cylinders

4.6.6: Lines, Angles, and Their Properties

4.6.6.1: Draw, identify, and find measures of complementary and supplementary angles using arithmetic and geometric methods.

Investigating Angle Theorems

4.6.7: Triangles

4.6.7.1: Determine the measure of missing angles of triangles based on the Triangle Sum Theorem.

Polygon Angle Sum
Triangle Angle Sum

4.6.8: Constructions

4.6.8.1: Construct circles, angles, and triangles based on given measurements using a variety of methods and tools including compass, straight edge, paper folding, and technology.

Segment and Angle Bisectors

4.6.9: Logic

4.6.9.1: Identify counterexamples to disprove a conditional statement.

Conditional Statements

5.6.1: Data Collection and Organization

5.6.1.1: Pose questions that guide the collection of data.

Describing Data Using Statistics
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Time Estimation

5.6.1.2: Organize and represent data using a variety of graphical representations including circle graphs and scatter plots.

Box-and-Whisker Plots
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Stem-and-Leaf Plots

5.6.2: Central Tendency and Data Distribution

5.6.2.1: Select and apply the measures of central tendency to describe data.

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)
Stem-and-Leaf Plots

5.6.3: Interpretation of Data

5.6.3.1: Analyze the effect a change of graph type has on the interpretation of a set of data.

Graphing Skills

5.6.3.2: Interpret data and make predictions using circle graphs and scatter plots.

Graphing Skills
Trends in Scatter Plots

5.6.4: Permutations and Combinations

5.6.4.1: Find the number of outcomes for a specific event by constructing sample spaces and tree diagrams.

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

5.6.5: Experimental and Theoretical Probability

5.6.5.1: Find experimental probability using concrete materials.

Geometric Probability
Independent and Dependent Events

5.6.5.2: Represent the results of simple probability experiments as fractions, decimals, percents, and ratios to make predictions about future events.

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

5.6.6: Statistical Inferences

5.6.6.1: Analyze various representations of a set of data to draw conclusions and make predictions.

Graphing Skills
Stem-and-Leaf Plots

5.6.6.2: Describe the limitations of various graphical representations.

Graphing Skills
Real-Time Histogram
Stem-and-Leaf Plots