1: Number, Number Sense and Operations

1.A: Represent and compare numbers less than 0 through familiar applications and extending the number line.

Comparing and Ordering Integers
Real Number Line - Activity A

1.B: Compare, order and convert among fractions, decimals and percents.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Rational Numbers
Fraction, Decimal, Percent (Area and Grid Models)
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents, Fractions and Decimals
Treasure Hunter (Decimals on the Number Line)

1.C: Develop meaning for percents, including percents greater than 100 and less than 1.

Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents and Proportions

1.D: Use models and pictures to relate concepts of ratio, proportion and percent.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part:Part and Part:Whole Ratios
Percents and Proportions
Polling: Neighborhood
Proportions and Common Multipliers

1.E: Use order of operations, including use of parenthesis and exponents to solve multi-step problems, and verify and interpret the results.

Order of Operations

1.G: Apply and explain the use of prime factorizations, common factors, and common multiples in problem situations.

Factor Trees (Factoring Numbers)

1.H: Use and analyze the steps in standard and non-standard algorithms for computing with fractions, decimals and integers.

Adding Decimals (Base-10 Blocks)
Adding and Subtracting Integers with Chips
Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Decimals (Area Model)
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

1.I: Use a variety of strategies, including proportional reasoning, to estimate, compute, solve and explain solutions to problems involving integers, fractions, decimals and percents.

Estimating Sums and Differences

2: Measurement

2.C: Identify appropriate tools and apply appropriate techniques for measuring angles, perimeter or circumference and area of triangles, quadrilaterals, circles and composite shapes, and surface area and volume of prisms and cylinders.

Fido's Flower Bed (Perimeter and Area)
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

2.D: Select a tool and measure accurately to a specified level of precision.

Triple Beam Balance

2.E: Use problem solving techniques and technology as needed to solve problems involving length, weight, perimeter, area, volume, time and temperature.

Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

2.F: Analyze and explain what happens to area and perimeter or surface area and volume when the dimensions of an object are changed.

Area of Parallelograms - Activity A
Circle: Circumference and Area
Fido's Flower Bed (Perimeter and Area)
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Rectangle: Perimeter and Area

2.G: Understand and demonstrate the independence of perimeter and area for two-dimensional shapes and of surface area and volume for three-dimensional shapes

Area of Parallelograms - Activity A
Fido's Flower Bed (Perimeter and Area)
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Rectangle: Perimeter and Area

3: Geometry and Spatial Sense

3.B: Draw circles, and identify and determine the relationships among the radius, diameter, center and circumference.

Circle: Circumference and Area
Circles
Measuring Trees

3.C: Specify locations and plot ordered pairs on a coordinate plane.

City Tour (Coordinates)
Introduction to Functions
Points in the Coordinate Plane - Activity A

3.D: Identify, describe and classify types of line pairs, angles, two-dimensional figures and three-dimensional objects using their properties.

Classifying Quadrilaterals - Activity A
Classifying Triangles
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Special Quadrilaterals

3.E: Use proportions to express relationships among corresponding parts of similar figures.

Similar Figures - Activity A

3.F: Describe and use the concepts of congruence, similarity and symmetry to solve problems.

Holiday Snowflake Designer
Similar Figures - Activity A

3.G: Describe and use properties of triangles to solve problems involving angle measures and side lengths of right triangles.

Classifying Triangles
Triangle Angle Sum - Activity A

3.H: Predict and describe results (size, position, orientation) of transformations of two-dimensional figures.

Dilations
Quilting Bee (Symmetry)
Reflections
Rock Art (Transformations)
Rotations, Reflections and Translations

3.J: Apply properties of equality and proportionality to solve problems involving congruent or similar figures; e.g., create a scale drawing

Constructing Congruent Segments and Angles
Similar Figures - Activity A

4: Patterns, Functions and Algebra

4.A: Describe, extend and determine the rule for patterns and relationships occurring in numeric patterns, computation, geometry, graphs and other applications.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
Pattern Flip (Patterns)

4.B: Represent, analyze and generalize a variety of patterns and functions with tables, graphs, words and symbolic rules.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Linear Functions
Pattern Flip (Patterns)
Quadratic and Absolute Value Functions
Slope-Intercept Form of a Line - Activity A
Using Algebraic Equations
Using Tables, Rules and Graphs

4.C: Use variables to create and solve equations and inequalities representing problem situations.

Linear Inequalities in Two Variables - Activity A
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Road Trip (Problem Solving)
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations
Using Algebraic Equations

4.E: Use rules and variables to describe patterns, functions and other relationships.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Geometric Sequences
Introduction to Functions
Linear Functions
Pattern Flip (Patterns)
Using Algebraic Equations
Using Algebraic Expressions
Using Tables, Rules and Graphs

4.F: Use representations, such as tables, graphs and equations, to model situations and to solve problems, especially those that involve linear relationships.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Linear Functions
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Equations By Graphing Each Side
Solving Two-Step Equations
Using Algebraic Equations
Using Tables, Rules and Graphs

4.G: Write, simplify and evaluate algebraic expressions.

Exponents and Power Rules
Order of Operations

4.H: Solve linear equations and inequalities symbolically, graphically and numerically.

Function Machines 2 (Functions, Tables, and Graphs)
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Point-Slope Form of a Line - Activity A
Road Trip (Problem Solving)
Slope-Intercept Form of a Line - Activity A
Solving Equations By Graphing Each Side
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations

4.I: Explain how inverse operations are used to solve linear equations.

Function Machines 3 (Functions and Problem Solving)
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Road Trip (Problem Solving)
Solving Equations By Graphing Each Side
Solving Two-Step Equations

4.K: Graph linear equations and inequalities.

Defining a Line with Two Points
Function Machines 2 (Functions, Tables, and Graphs)
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Equations By Graphing Each Side
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Standard Form of a Line

4.L: Analyze functional relationships, and explain how a change in one quantity results in a change in the other.

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Elevator Operator (Line Graphs)
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Using Tables, Rules and Graphs

4.M: Approximate and interpret rates of change from graphical and numerical data.

Direct Variation
Direct and Inverse Variation
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Elevator Operator (Line Graphs)

5: Data Analysis and Probablity

5.A: Read, create and use line graphs, histograms, circle graphs, box-and-whisker plots, stem-and-leaf plots, and other representations when appropriate.

Box-and-Whisker Plots
Describing Data Using Statistics
Elevator Operator (Line Graphs)
Graphing Skills
Histograms
Mascot Election (Pictographs and Bar Graphs)
Populations and Samples
Stem-and-Leaf Plots

5.B: Interpret data by looking for patterns and relationships, draw and justify conclusions, and answer related questions.

Reaction Time 2 (Graphs and Statistics)

5.C: Evaluate interpretations and conclusions as additional data are collected, modify conclusions and predictions, and justify new findings.

Correlation
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Solving Using Trend Lines

5.D: Compare increasingly complex displays of data, such as multiple sets of data on the same graph.

Box-and-Whisker Plots
Describing Data Using Statistics
Graphing Skills
Histograms
Line Plots
Mascot Election (Pictographs and Bar Graphs)
Populations and Samples
Scatter Plots - Activity A
Stem-and-Leaf Plots

5.E: Collect, organize, display and interpret data for a specific purpose or need.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Scatter Plots - Activity A
Stem-and-Leaf Plots

5.F: Determine and use the range, mean, median and mode to analyze and compare data, and explain what each indicates about the data.

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.G: Evaluate conjectures and predictions based upon data presented in tables and graphs, and identify misuses of statistical data and displays.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)

5.H: Find all possible outcomes of simple experiments or problem situations, using methods such as lists, arrays and tree diagrams.

Permutations and Combinations

5.I: Describe the probability of an event using ratios, including fractional notation.

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

5.J: Compare experimental and theoretical results for a variety of simple experiments.

Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
Polling: City
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

5.K: Make and justify predictions based on experimental and theoretical probabilities.

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