Academic Standards

7.1.1: Read, write, compare, and solve problems using whole numbers in scientific notation.

Unit Conversions 2 - Scientific Notation and Significant Digits

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

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

7.1.6: Understand and apply the concept of square root.

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

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

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Fractions Greater than One (Fraction Tiles)

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Percents, Fractions, and Decimals

Proportions and Common Multipliers

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.

7.2.4: Use estimation to decide whether answers are reasonable in problems involving fractions and decimals.

Estimating Sums and Differences

7.2.5: Use mental arithmetic to compute with simple fractions, decimals, and powers.

Percents, Fractions, and Decimals

Sums and Differences with Decimals

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

Linear Functions

Solving Equations on the Number Line

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.

Compound Inequalities

Modeling and Solving Two-Step Equations

Solving Equations by Graphing Each Side

Solving Linear Inequalities in One Variable

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

Comparing and Ordering Decimals

Linear Inequalities in Two Variables

Simple and Compound Interest

Using Algebraic Equations

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.

Order of Operations

Solving Equations on the Number Line

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

Modeling and Solving Two-Step Equations

Solving Equations on the Number Line

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.

Cat and Mouse (Modeling with Linear Systems)

Direct and Inverse Variation

Distance-Time and Velocity-Time Graphs

Elevator Operator (Line Graphs)

Point-Slope Form of a Line

Simple and Compound Interest

Slope

Slope-Intercept Form of a Line

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

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

Cat and Mouse (Modeling with Linear Systems)

Elevator Operator (Line Graphs)

Slope

Slope-Intercept Form of a Line

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

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Slope-Intercept Form of a Line

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.

Direct and Inverse Variation

Simple and Compound Interest

Slope-Intercept Form of a Line

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).

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.

Dilations

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Similar Figures

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.

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

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

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

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

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

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Perimeter and Area of Rectangles

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

7.5.5: Estimate and compute the area of more complex or irregular two-dimensional shapes by dividing them into more basic shapes.

Area of Triangles

Fido's Flower Bed (Perimeter and Area)

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

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

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.

Distance-Time Graphs

Elevator Operator (Line Graphs)

Graphing Skills

Prairie Ecosystem

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and 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

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Reaction Time 2 (Graphs and Statistics)

7.6.4: Analyze data displays, including ways that they can be misleading. Analyze ways in which the wording of questions can influence survey results.

Graphing Skills

Polling: Neighborhood

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

Independent and Dependent Events

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

7.6.6: Understand that the probability of either one or the other of two disjoint events occurring is the sum of the two individual probabilities.

Geometric Probability

Independent and Dependent Events

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

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 for more information.