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

7.1.1.c: develop meaning for square roots;

Square Roots

7.1.1.f: represent equivalent numbers using a variety of forms (i.e., whole numbers, fraction, decimals, percents);

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

7.1.1.g: compare fractions, decimals, percents, and integers using the appropriate symbol (i.e., <, >, =);

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

7.1.1.h: connect whole numbers, fractions, decimals, percents, and integers to locations on the number line;

Comparing and Ordering Integers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Real Number Line - Activity A

7.1.1.i: develop meaning for percents greater than 100 and less than one;

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

7.1.1.j: understand and use ratios and proportions to represent quantitative relationships;

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

7.1.1.m: apply number theory concepts to solve problems (e.g., divisibility, factors, multiples, composite numbers, prime factorization, relatively prime).

Finding Factors with Area Models

7.1.2: Understand operations and how they relate to one another.

7.1.2.a: understand the meaning and effects of arithmetic operations with fractions and decimals;

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

7.1.2.b: use models to demonstrate meaning and effects of arithmetic operations with integers;

Adding and Subtracting Integers with Chips

7.1.2.c: apply the associative and commutative properties of addition and multiplication to simplify computations with integers, fractions, and decimals;

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

7.1.2.d: apply order of operations when computing with whole numbers, decimals, and fractions;

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

7.1.2.e: understand and use the inverse relationships of addition and subtraction and multiplication and division to simplify computations and solve problems.

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

7.1.3: Solve problems, compute fluently, and make reasonable estimates.

7.1.3.b: analyze procedures for computing with fractions, decimals, and integers;

Adding and Subtracting Integers with Chips
Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

7.1.3.c: use strategies to estimate the results of rational number computations in real-world situations;

Estimating Population Size
Estimating Sums and Differences

7.1.3.e: solve two-step real-world problems involving whole numbers, fraction, decimals, and percents;

Simple and Compound Interest

7.1.3.f: develop methods for solving problems involving proportions (e.g., scaling, finding equivalent ratios).

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

7.2.1: Understand patterns, relations, and functions.

7.2.1.a: represent, analyze, and extend geometric and numerical patterns;

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

7.2.1.b: develop understanding for arithmetic sequences;

Arithmetic Sequences
Arithmetic and Geometric Sequences

7.2.1.c: use tables, graphs, and symbolic rules to generalize patterns in data;

Linear Functions
Using Tables, Rules and Graphs

7.2.2: Represent and analyze mathematical situations and structures using algebraic symbols.

7.2.2.a: demonstrate understanding of different uses of variables;

Using Algebraic Equations

7.2.2.c: translate one-variable verbal and written expressions into algebraic expressions;

Using Algebraic Equations
Using Algebraic Expressions

7.2.2.e: connect formal and informal methods to solve one-step linear equations;

Modeling One-Step Equations - Activity A

7.2.2.f: identify whole numbers that satisfy a given one-variable inequality;

Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

7.2.2.g: model algebraic equations with manipulatives, technology, and pencil and paper;

Using Algebraic Equations

7.2.2.h: solve real-world problems involving one-step linear equations;

Modeling One-Step Equations - Activity A

7.2.2.i: explore relationships between symbolic expressions and graphs of lines.

Compound Inequalities
Defining a Line with Two Points
Inequalities Involving Absolute Values
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Standard Form of a Line

7.2.3: Use mathematical models to represent and understand quantitative relationships.

7.2.3.a: create a scatterplot to represent data presented in tabular form;

Scatter Plots - Activity A
Solving Using Trend Lines

7.2.3.b: describe the relationship between two quantities represented in a scatterplot.

Scatter Plots - Activity A
Solving Using Trend Lines

7.2.4: Analyze change in various contexts.

7.2.4.a: describe how changes in one quantity or variable result in changes in another;

Parabolas - Activity A
Translating and Scaling Functions

7.3.1: Analyze characteristics and properties of two- and three-dimensional geometric figures.

7.3.1.b: compare and classify triangles by angle size and length of sides;

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

7.3.1.c: compare and classify polygons by properties;

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

7.3.1.d: use appropriate mathematical language to describe similarity and congruence.

Similar Figures - Activity A

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

7.3.2.a: plot a given set of points on the coordinate plane.

Points in the Coordinate Plane - Activity A

7.3.3: Apply transformations and use symmetry to analyze mathematical situations.

7.3.3.a: relate symmetry and congruence to reflections about a line.

Holiday Snowflake Designer
Reflections
Rotations, Reflections and Translations

7.3.4: Use visualization, spatial reasoning, and geometric modeling to solve problems.

7.3.4.b: build a three-dimensional object from a two-dimensional representation (net) of that object and vice versa;

3D and Orthographic Views - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

7.3.4.c: use visualization and spatial reasoning to solve real-world problems.

3D and Orthographic Views - Activity A

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

7.4.1.c: understand, select, and use units of appropriate size and type to measure angles, perimeter, areas, surface area, and volume.

Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

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

7.4.2.a: use a variety of strategies to estimate length, perimeter, circumference, area, and volume;

Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B

7.4.2.b: select and apply techniques and tools to accurately measure length, perimeter, area, volume, and angles to appropriate levels of precision;

Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

7.4.2.c: develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles;

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

7.4.2.e: develop strategies to determine the surface area and volume of selected prisms and cylinders;

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

7.5.2: Select and use appropriate statistical methods to analyze data.

7.5.2.a: find, use, and interpret measures of center and spread (e.g., mean, interquartile range);

Box-and-Whisker Plots
Line Plots
Mean, Median and Mode

7.5.2.c: discuss and understand the relationship between data sets and their graphical representations (e.g., bar graphs, line graphs, circle graphs, histograms, stem-and-leaf plots, box plots, and scatterplots).

Box-and-Whisker Plots
Correlation
Histograms
Populations and Samples
Scatter Plots - Activity A
Solving Using Trend Lines
Stem-and-Leaf Plots

7.5.4: Understand and apply basic concepts of probability.

7.5.4.b: construct a tree diagram to determine all possible outcomes of a simple event.

Permutations and Combinations