Academic Standards

7.1.2: Compare and order rational and common irrational numbers and place them on a number line.

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Integers

Comparing and Ordering Rational Numbers

Real Number Line - Activity A

7.1.6: Understand and apply the concept of square root.

7.1.7: Convert terminating decimals into reduced fractions.

Percents, Fractions and Decimals

7.2.1: Solve addition, subtraction, multiplication, and division problems that use integers, fractions, decimals, and combinations of the four operations.

Adding Real Numbers

Adding and Subtracting Integers

Adding and Subtracting Integers with Chips

Dividing Fractions

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying with Decimals

Order of Operations

Sums and Differences with Decimals

7.2.2: Calculate the percentage increase and decrease of a quantity.

7.2.3: Solve problems that involve discounts, markups, and commissions.

7.3.1: Use variables and appropriate operations to write an expression, a formula, an equation, or an inequality that represents a verbal description.

Using Algebraic Equations

Using Algebraic Expressions

7.3.2: Write and solve two-step linear equations and inequalities in one variable and check the answers.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

7.3.3: Use correct algebraic terminology, such as variable, equation, term, coefficient, inequality, expression, and constant.

Using Algebraic Equations

Using Algebraic Expressions

7.3.4: Evaluate numerical expressions and simplify algebraic expressions by applying the correct order of operations and the properties of rational numbers (e.g., identity, inverse, commutative, associative, distributive). Justify each step in the process.

Exponents and Power Rules

Order of Operations

Simplifying Radicals - Activity A

7.3.5: Solve an equation or formula with two variables for a particular variable.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

Using Algebraic Equations

7.3.6: Define slope as vertical change per unit of horizontal change and recognize that a straight line has constant slope or rate of change.

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

7.3.7: Find the slope of a line from its graph.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

7.3.8: Draw the graph of a line given the slope and one point on the line, or two points on the line.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

7.3.9: Identify functions as linear or nonlinear and examine their characteristics in tables, graphs, and equations.

Linear Functions

Point-Slope Form of a Line - Activity A

Quadratic and Absolute Value Functions

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

7.3.10: Identify and describe situations with constant or varying rates of change and know that a constant rate of change describes a linear function.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

7.4.1: Understand coordinate graphs and use them to plot simple shapes, find lengths and areas related to the shapes and find images under translations (slides), rotations (turns), and reflections (flips).

Points in the Coordinate Plane - Activity A

Reflections

Rotations, Reflections and Translations

7.4.2: Understand that transformations — such as slides, turns, and flips — preserve the length of segments, and that figures resulting from slides, turns, and flips are congruent to the original figures.

Constructing Congruent Segments and Angles

Reflections

Rotations, Reflections and Translations

7.4.3: Know and understand the Pythagorean Theorem and use it to find the length of the missing side of a right triangle and the lengths of other line segments. Use direct measurement to test conjectures about triangles.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Triangle Angle Sum - Activity A

7.4.4: Construct two-dimensional patterns (nets) for three-dimensional objects, such as right prisms, pyramids, cylinders, and cones.

3D and Orthographic Views - Activity A

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

7.5.1: Compare lengths, areas, volumes, weights, capacities, times, and temperatures within measurement systems.

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

7.5.2: Use experimentation and modeling to visualize similarity problems. Solve problems using similarity.

3D and Orthographic Views - Activity A

Similar Figures - Activity A

7.5.3: Read and create drawings made to scale, construct scale models, and solve problems related to scale.

7.5.4: Use formulas for finding the perimeter and area of basic two-dimensional shapes and the surface area and volume of basic three-dimensional shapes, including rectangles, parallelograms, trapezoids, triangles, circles, right prisms, and cylinders.

Area of Parallelograms - Activity A

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

7.5.6: Use objects and geometry modeling tools to compute the surface area of the faces and the volume of a three-dimensional object built from rectangular solids.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Prisms and Cylinders

7.6.1: Analyze, interpret, and display data in appropriate bar, line, and circle graphs and stem-and-leaf plots, and justify the choice of display.

Describing Data Using Statistics

Stem-and-Leaf Plots

7.6.3: Describe how additional data, particularly outliers, added to a data set may affect the mean, median, and mode.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

7.6.5: Know that if P is the probability of an event occurring, then 1 - P is the probability of that event not occurring.

Geometric Probability - Activity A

7.6.7: Find the number of possible arrangements of several objects using a tree diagram.

Content correlation last revised: 1/24/2009

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below to go to the Gizmo Details page.