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 integers, positive rationals and percents, including finding their approximate location 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
Real Number Line - Activity A

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 expanded 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.B: Describe effects of operations

1.2.B.1: describe the effects of addition and subtraction on fractions and decimals

Adding Real Numbers
Fractions with Unlike Denominators
Sums and Differences with Decimals

1.3: Compute fluently and make reasonable estimates

1.3.C: Compute problems

1.3.C.1: add and subtract positive rational numbers

Sums and Differences with Decimals

1.3.D: Estimate and justify solutions

1.3.D.1: estimate and justify the results of addition and subtraction of positive rational numbers

Sums and Differences with Decimals

1.3.E: Use proportional reasoning

1.3.E.1: solve problems using equivalent ratios

Estimating Population Size
Part:Part and Part:Whole Ratios
Polling: Neighborhood

2: Algebraic Relationships

2.1: Understand patterns, relations, and functions

2.1.B: Create and analyze patterns

2.1.B.1: represent and describe patterns with tables, graphs, pictures, symbolic rules or words

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
Using Tables, Rules and Graphs

2.1.C: Classify objects and representations

2.1.C.1: compare various forms of representations to identify a pattern

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

2.1.D: Identify and compare functions

2.1.D.1: identify functions as linear or nonlinear from a table or graph

Introduction to Functions
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 variables to represent unknown quantities in expressions

Using Algebraic Equations
Using Algebraic Expressions

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, expressions and equations

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations

2.4: Analyze change in various contexts

2.4.A: Analyze change

2.4.A.1: compare situations with constant or varying rates of change

Distance-Time 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: identify the properties of 1- 2- and 3- dimensional shapes using the appropriate geometric vocabulary

Classifying Quadrilaterals - Activity A
Classifying Triangles
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Triangle Angle Sum - Activity A

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 construct geometric shapes

Construct Parallel and Perpendicular Lines
Constructing Congruent Segments and Angles

3.3: Apply transformations and use symmetry to analyze mathematical situations

3.3.A: Use transformations on objects

3.3.A.1: describe the transformation from a given pre-image to its image using the terms reflection/flips, rotation/turn and translation/ slide

Rotations, Reflections and Translations

3.3.C: Use symmetry

3.3.C.1: create polygons and designs with rotational symmetry

Holiday Snowflake Designer

4: Measurement

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

4.1.A: Determine unit of measurement

4.1.A.1: identify and justify an angle as acute, obtuse, straight or right

Classifying Triangles

4.1.C: Tell and use units of time

4.1.C.1: solve problems involving elapsed time (hours and minutes)

Elapsed Time

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 the area or perimeter of polygons

Area of Parallelograms - Activity A
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

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: interpret circle graphs; create and interpret stem-and-leaf plots

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 the range and measures of center, including median, mode and mean

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