Indiana - Mathematics: 7th Grade

  • Academic Standards     Adopted: 2000

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

7.1: Students understand and use scientific notation and square roots. They convert between fractions and decimals.

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.

Square Roots

7.1.7: Convert terminating decimals into reduced fractions.

Percents, Fractions and Decimals

7.2: Students solve problems involving integers, fractions, decimals, ratios, and percentages.

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.

Percent of Change

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

Percent of Change

7.3: Students express quantitative relationships using algebraic terminology, expressions, equations, inequalities, and graphs.

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: Students deepen their understanding of plane and solid geometric shapes by constructing shapes that meet given conditions and by identifying attributes of shapes.

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: Students compare units of measure and use similarity to solve problems. They compute the perimeter, area, and volume of common geometric objects and use the results to find measures of less regular objects.

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.

Similar Figures - Activity A

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: Students collect, organize, and represent data sets and identify relationships among variables within a data set. They determine probabilities and use them to make predictions about events

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.

Permutations and Combinations

Content correlation last revised: 5/22/2007