1: Analyze numbers using place value and prime factorization. Solve problems involving basic operations of rational numbers.

1.a: Compare and order rational numbers using symbols (<, >, and =) and a number line.

Comparing and Ordering Decimals

1.b: Use estimation strategies to determine the reasonableness of results in a variety of situations including rational number computations.

Estimating Sums and Differences
Multiplying Decimals (Area Model)

1.d: Compute using basic operations with fractions and mixed numbers. Express answers in the simplest form.

Adding Fractions (Fraction Tiles)
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Modeling Fractions (Area Models)
Multiplying Fractions
Multiplying Mixed Numbers

1.f: Explain the relationship(s) among fractions, decimals, and percents and model and represent a specific quantity in multiple ways.

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

1.g: Model addition and subtraction of integers with physical materials and the number line.

Adding and Subtracting Integers

1.h: Solve problems by finding the percentage of a number including percentages greater than 100 and less than 1.

Percent of Change
Percents, Fractions, and Decimals
Real-Time Histogram
Time Estimation

1.i: Multiply four-digit numbers by two-digit numbers (including whole numbers and decimals).

Multiplying Decimals (Area Model)

2: Use algebraic functions, patterns, and language across a variety of contexts.

2.a: Solve simple equations using guess-and-check, diagrams, properties, or inspection, explaining the process used.

Solving Algebraic Equations II

2.b: Complete a function table based on a given rule.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Points, Lines, and Equations

2.c: Formulate algebraic expressions, equations, and inequalities to reflect a given situation.

Absolute Value Equations and Inequalities
Compound Interest
Linear Inequalities in Two Variables
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable
Using Algebraic Equations
Using Algebraic Expressions

2.d: State the following properties using variables and apply them in solving problems:

2.d.3: Commutative and associative properties of addition and multiplication

Addition of Polynomials
Using Algebraic Equations

2.d.4: Identity properties of addition and multiplication

Solving Algebraic Equations I

2.d.5: Distributive properties of multiplication over addition and subtraction

Equivalent Algebraic Expressions II

2.e: Describe a rule for a function table using words, symbols, and points on a graph and vice versa.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Points, Lines, and Equations

3: Analyze geometric relationships of lines, angles, two- and three-dimensional shapes, and transformations.

3.a: Compare, classify, and construct transformations (reflections, translations, and rotations).

Rock Art (Transformations)
Rotations, Reflections, and Translations

3.c: Draw, label, and classify polygons to include regular and irregular shapes. Identify congruent and symmetrical figures.

Rock Art (Transformations)

4: Apply geometric formulas and standard (English and metric) units of measurement in mathematical and real-life situations.

4.a: Convert units within a given measurement system to solve problems.

Unit Conversions

4.b: Calculate the perimeter and area of regular and irregular shapes using a variety of methods.

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

4.c: Determine the radius, diameter, and circumference of a circle.

Circles
Circumference and Area of Circles

4.d: Use scale factors to perform dilations and to solve ratio and proportion problems.

Beam to Moon (Ratios and Proportions)

4.f: Apply techniques and tools to accurately find length, area, and angle measures to appropriate levels of precision.

Measuring Trees

4.g: Explain the relationship of circumference of a circle to its diameter, linking to pi.

Circumference and Area of Circles

5: Organize, interpret, analyze, and display data to predict trends.

5.a: Construct, interpret, and explain line graphs, double bar graphs, frequency plots, stem-and-leaf plots, histograms, and box-and-whisker plots.

Box-and-Whisker Plots
Distance-Time Graphs
Elevator Operator (Line Graphs)
Graphing Skills
Histograms
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Stem-and-Leaf Plots

5.b: Determine how changes in data affect mean, median, mode, and range.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Sight vs. Sound Reactions
Stem-and-Leaf Plots