1: Number and Operations

1.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

1.1.A: Read, write and compare numbers

1.1.A.1: compare and order rationals and percents, including finding their approximate locations on a number line

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1

1.1.B: Represent and use rational numbers

1.1.B.1: use fractions, decimals and percents to solve problems

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

1.1.C: Compose and decompose numbers

1.1.C.1: recognize equivalent representations for the same number and generate them by decomposing and composing numbers, including scientific notation

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

1.2: Understand meanings of operations and how they relate to one another

1.2.C: Apply properties of operations

1.2.C.1: apply properties of operations to rational numbers, including order of operations and inverse operations

Order of Operations

1.2.D: Apply operations on real and complex numbers

1.2.D.1: apply the relationship between squares and square roots and cubes and cube roots to solve a problem

Square Roots

1.3: Compute fluently and make reasonable estimates

1.3.C: Compute problems

1.3.C.1: apply all operations on rational numbers

Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

1.3.E: Use proportional reasoning

1.3.E.1: solve problems involving proportions, such as scaling and finding equivalent ratios

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

2: Algebraic Relationships

2.1: Understand patterns, relations, and functions

2.1.B: Create and analyze patterns

2.1.B.1: generalize patterns represented graphically or numerically using words or symbolic rules, including recursive notation

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

2.1.D: Identify and compare functions

2.1.D.1: compare properties of linear functions between or among tables, graphs and equations

Introduction to Functions
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

2.2: Represent and analyze mathematical situations and structures using algebraic symbols

2.2.A: Represent mathematical situations

2.2.A.1: use symbolic algebra to represent and solve problems that involve linear relationships, including recursive relationships

Arithmetic Sequences
Linear Functions
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 Tables, Rules and Graphs

2.2.B: Describe and use mathematical manipulation

2.2.B.1: generate equivalent forms for linear expressions

Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A

2.3: Use mathematical models to represent and understand quantitative relationships

2.3.A: Use mathematical models

2.3.A.1: model and solve problems, using multiple representations such as graphs, tables, equations or inequalities

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

2.4: Analyze change in various contexts

2.4.A: Analyze change

2.4.A.1: analyze the nature of changes (including slope and intercepts) in quantities in linear relationships

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Linear Functions
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

3: Geometric and Spatial Relationships

3.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships

3.1.A: Describe and use geometric relationships

3.1.A.1: describe, classify and generalize relationships between and among types of a) 2-dimensional objects and b) 3- dimensional objects using their defining properties including

3.1.A.1.a: Pythagorean Theorem

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

3.1.B: Apply geometric relationships

3.1.B.1: apply relationships between corresponding sides and corresponding areas of similar polygons to solve problems

Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

3.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems

3.2.A: Use coordinate systems

3.2.A.1: use coordinate geometry to analyze properties of right triangles and quadrilaterals

Classifying Quadrilaterals - Activity A

3.3: Apply transformations and use symmetry to analyze mathematical situations

3.3.A: Use transformations on objects

3.3.A.1: reposition shapes under formal transformations, such as reflection, rotation and translation

Dilations
Reflections
Rotations, Reflections and Translations
Translations

3.3.B: Use transformations on functions

3.3.B.1: describe the relationship between the scale factor and the area of the image using a dilation (stretching/ shrinking)

Dilations
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

3.3.C: Use symmetry

3.3.C.1: identify the number of rotational symmetries of regular polygons

Holiday Snowflake Designer

4: Measurement

4.1: Understand measurable attributes of objects and the units, systems and processes of measurement

4.1.B: Identify equivalent measures

4.1.B.1: identify the equivalent volume measures within a system of measurement (e.g., m cubed to cm cubed)

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

4.2: Apply appropriate techniques, tools and formulas to determine measurements.

4.2.C: Apply geometric measurements

4.2.C.1: describe how to solve problems involving surface area and/or volume of a rectangular or triangular prism, or cylinder

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

4.2.D: Analyze precision

4.2.D.1: analyze precision and accuracy in measurement situations and determine number of significant digits

Triple Beam Balance

5: Data and Probability

5.1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them

5.1.C: Represent and interpret data

5.1.C.1: select, create and use appropriate graphical representation of data (including scatter plots)

Box-and-Whisker Plots
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots

5.2: Select and use appropriate statistical methods to analyze data

5.2.A: Describe and analyze data

5.2.A.1: find, use and interpret measures of center, outliers and spread, including range and interquartile range

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode

5.2.B: Compare data representations

5.2.B.1: compare different representations of the same data and evaluate how well each representation shows important aspects of the data

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Populations and Samples
Scatter Plots - Activity A
Stem-and-Leaf Plots

5.3: Develop and evaluate inferences and predictions that are based on data

5.3.A: Develop and evaluate inferences

5.3.A.1: make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit

Correlation
Lines of Best Fit Using Least Squares - Activity A
Solving Using Trend Lines

5.4: Understand and apply basic concepts of probability

5.4.A: Apply basic concepts of probability

5.4.A.1: make conjectures (based on theoretical probability) about the results of experiments

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability