2: Students demonstrate understanding of and an ability to use numbers and operations.

2.1: use the four basic operations with whole numbers, fractions, decimals, and integers.

Adding Decimals (Base-10 Blocks)
Adding Fractions (Fraction Tiles)
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Dividing Fractions
Dividing Mixed Numbers
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Multiplying Decimals (Area Model)
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
No Alien Left Behind (Division with Remainders)
Sums and Differences with Decimals

2.2: use mental mathematics and number sense in using order of operations, and order relations for whole numbers, fractions, decimals, and integers.

Order of Operations

2.3: use the relationships and applications of ratio, proportion, percent, and scientific notation.

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

2.4: develop and apply number theory concepts (e.g., primes, factors and multiples) in real- world and mathematical problem situations.

Finding Factors with Area Models

3: Students use algebraic concepts, processes, and language to model and solve a variety of real-world and mathematical problems.

3.1: understand the concepts of variable, expression and equation.

Using Algebraic Equations
Using Algebraic Expressions

3.2: represent situations and number patterns using tables, graphs, verbal rules, equations, and models.

Arithmetic and Geometric Sequences
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Graphing Skills
Pattern Flip (Patterns)
Using Tables, Rules and Graphs

3.3: recognize and use the general properties of operations (e.g., the distributive property).

Chocomatic (Multiplication, Arrays, and Area)

3.4: solve linear equations using concrete, numerical and algebraic methods.

Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations

4: Students demonstrate understanding of shape and an ability to use geometry.

4.1: identify, describe, construct, and compare plane and solid geometric figures.

Congruence in Right Triangles

4.4: explore properties and transformations of geometric figures.

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

5: Students demonstrate understanding of measurable attributes and an ability to use measurement processes.

5.1: estimate, make, and use measurements to describe, compare, and/or contrast objects in real-world situations.

Measuring Motion

5.2: select and use appropriate units and tools to measure to a level of accuracy required in a particular setting.

Triple Beam Balance

5.3: apply the concepts of perimeter, area, volume and capacity, weight and mass, angle measure, time, and temperature.

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

5.5: use the concepts of rates and other derived and indirect measurements.

Distance-Time Graphs

5.6: demonstrate relationships between formulas and procedures for determining area and volume.

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

6: The students demonstrate understanding of and an ability to use data analysis, probability, and statistics.

6.1: systematically collect, organize, and describe data.

Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

6.2: construct, read, and interpret tables, charts, and graphs.

Elevator Operator (Line Graphs)
Graphing Skills
Histograms
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

6.3: draw inferences, construct, and evaluate arguments based on data analysis and measures of central tendency.

Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

6.4: construct sample spaces and determine the theoretical and experimental probabilities of events.

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

6.5: make predictions based on experimental results or probabilities.

Geometric Probability - Activity A
Probability Simulations
Spin the Big Wheel! (Probability)

7: Students demonstrate understanding of and an ability to use patterns, relations and functions.

7.1: describe, extend, analyze, and create a variety of patterns and functions.

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
Pattern Flip (Patterns)

7.2: describe and represent relationships with tables, graphs, and rules.

Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Function Machines 2 (Functions, Tables, and Graphs)
Introduction to Functions
Linear Functions
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Rational Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

7.3: analyze functional relationships to explain how a change in one quantity results in a change in another.

Distance-Time Graphs
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Rational Functions
Using Tables, Rules and Graphs

7.4: use patterns and functions to represent and solve problems.

Arithmetic and Geometric Sequences
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Pattern Flip (Patterns)

7.5: describe functions using graphical, numerical, physical, algebraic, and verbal models or representations.

Cubic Function Activity
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Fourth-Degree Polynomials - Activity A
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
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Rational Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs