Ohio - Mathematics: 7th Grade

  • Academic Content Standards     Adopted: 2003

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

1: Number, Number Sense and Operations

1.A: Represent and compare numbers less than 0 through familiar applications and extending the number line.

Comparing and Ordering Integers
Real Number Line - Activity A

1.C: Develop meaning for percents, including percents greater than 100 and less than 1.

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

1.D: Use models and pictures to relate concepts of ratio, proportion and percent.

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

1.E: Use order of operations, including use of parenthesis and exponents to solve multi-step problems, and verify and interpret the results.

1.E.4: Use order of operations and properties to simplify numerical expressions involving integers, fractions and decimals.

Order of Operations

1.G: Apply and explain the use of prime factorizations, common factors, and common multiples in problem situations.

1.G.9: Represent and solve problem situations that can be modeled by and solved using concepts of absolute value, exponents and square roots (for perfect squares).

Real Number Line - Activity A

1.H: Use and analyze the steps in standard and non-standard algorithms for computing with fractions, decimals and integers.

1.H.8: Develop and analyze algorithms for computing with percents and integers, and demonstrate fluency in their use.

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

1.I: Use a variety of strategies, including proportional reasoning, to estimate, compute, solve and explain solutions to problems involving integers, fractions, decimals and percents.

1.I.5: Explain the meaning and effect of adding, subtracting, multiplying and dividing integers; e.g., how adding two integers can result in a lesser value.

Adding Real Numbers
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Order of Operations

1.I.6: Simplify numerical expressions involving integers and use integers to solve real-life problems.

Order of Operations

1.I.9: Represent and solve problem situations that can be modeled by and solved using concepts of absolute value, exponents and square roots (for perfect squares).

Real Number Line - Activity A

2: Measurement

2.C: Identify appropriate tools and apply appropriate techniques for measuring angles, perimeter or circumference and area of triangles, quadrilaterals, circles and composite shapes, and surface area and volume of prisms and cylinders.

2.C.6: Use strategies to develop formulas for finding area of trapezoids and volume of cylinders and prisms.

Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders

2.C.7: Develop strategies to find the area of composite shapes using the areas of triangles, parallelograms, circles and sectors.

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

2.D: Select a tool and measure accurately to a specified level of precision.

2.D.3: Estimate a measurement to a greater degree of precision than the tool provides.

Triple Beam Balance

2.E: Use problem solving techniques and technology as needed to solve problems involving length, weight, perimeter, area, volume, time and temperature.

2.E.4: Solve problems involving proportional relationships and scale factors; e.g., scale models that require unit conversions within the same measurement system.

Similar Figures - Activity A

2.F: Analyze and explain what happens to area and perimeter or surface area and volume when the dimensions of an object are changed.

2.F.9: Describe what happens to the surface area and volume of a three-dimensional object when the measurements of the object are changed; e.g., length of sides are doubled.

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

2.G: Understand and demonstrate the independence of perimeter and area for two-dimensional shapes and of surface area and volume for three-dimensional shapes.

2.G.8: Understand the difference between surface area and volume and demonstrate that two objects may have the same surface area, but different volumes or may have the same volume, but different surface areas.

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

3: Geometry and Spatial Sense

3.B: Draw circles, and identify and determine the relationships among the radius, diameter, center and circumference.

Circle: Circumference and Area
Circles

3.C: Specify locations and plot ordered pairs on a coordinate plane.

Introduction to Functions
Points in the Coordinate Plane - Activity A

3.D: Identify, describe and classify types of line pairs, angles, two-dimensional figures and three-dimensional objects using their properties.

3.D.2: Determine sufficient (not necessarily minimal) properties that define a specific two-dimensional figure or three-dimensional object. For example:

3.D.2.a: Determine when one set of figures is a subset of another; e.g., all squares are rectangles.

Special Quadrilaterals

3.D.2.b: Develop a set of properties that eliminates all but the desired figure; e.g., only squares are quadrilaterals with all sides congruent and all angles congruent.

Classifying Quadrilaterals - Activity A
Constructing Congruent Segments and Angles

3.E: Use proportions to express relationships among corresponding parts of similar figures.

3.E.1: Use proportional reasoning to describe and express relationships between parts and attributes of similar and congruent figures.

Constructing Congruent Segments and Angles
Similar Figures - Activity A

3.E.6: Determine and use scale factors for similar figures to solve problems using proportional reasoning.

Similar Figures - Activity A

3.F: Describe and use the concepts of congruence, similarity and symmetry to solve problems.

3.F.7: Identify the line and rotation symmetries of two-dimensional figures to solve problems.

Classifying Triangles
Holiday Snowflake Designer

3.G: Describe and use properties of triangles to solve problems involving angle measures and side lengths of right triangles.

3.G.3: Use and demonstrate understanding of the properties of triangles. For example:

3.G.3.a: Use Pythagorean Theorem to solve problems involving right triangles.

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

3.G.3.b: Use triangle angle sum relationships to solve problems.

Triangle Angle Sum - Activity A

3.G.5: Apply properties of congruent or similar triangles to solve problems involving missing lengths and angle measures.

Similar Figures - Activity A

3.H: Predict and describe results (size, position, orientation) of transformations of two-dimensional figures.

3.H.8: Perform translations, reflections, rotations and dilations of two-dimensional figures using a variety of methods (paper folding, tracing, graph paper).

Classifying Triangles
Dilations
Reflections
Rotations, Reflections and Translations

3.J: Apply properties of equality and proportionality to solve problems involving congruent or similar figures; e.g., create a scale drawing.

3.J.1: Use proportional reasoning to describe and express relationships between parts and attributes of similar and congruent figures.

Constructing Congruent Segments and Angles
Similar Figures - Activity A

3.J.6: Determine and use scale factors for similar figures to solve problems using proportional reasoning.

Similar Figures - Activity A

4: Patterns, Functions and Algebra

4.A: Describe, extend and determine the rule for patterns and relationships occurring in numeric patterns, computation, geometry, graphs and other applications.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

4.B: Represent, analyze and generalize a variety of patterns and functions with tables, graphs, words and symbolic rules.

4.B.1: Represent and analyze patterns, rules and functions with words, tables, graphs and simple variable expressions.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
Introduction to Functions
Linear Functions
Quadratic and Absolute Value Functions
Using Algebraic Expressions
Using Tables, Rules and Graphs

4.B.2: Generalize patterns by describing in words how to find the next term.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

4.C: Use variables to create and solve equations and inequalities representing problem situations.

Linear Inequalities in Two Variables - Activity A
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations
Using Algebraic Equations

4.D: Use symbolic algebra to represent and explain mathematical relationships.

4.D.9: Recognize a variety of uses for variables; e.g., placeholder for an unknown quantity in an equation, generalization for a pattern, formula.

Using Algebraic Equations

4.E: Use rules and variables to describe patterns, functions and other relationships.

4.E.3: Recognize and explain when numerical patterns are linear or nonlinear progressions; e.g., 1, 3, 5, 7... is linear and 1, 3, 4, 8, 16... is nonlinear.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
Linear Functions

4.F: Use representations, such as tables, graphs and equations, to model situations and to solve problems, especially those that involve linear relationships.

4.F.5: Represent linear equations by plotting points in the coordinate plane.

Points in the Coordinate Plane - Activity A

4.F.6: Represent inequalities on a number line or a coordinate plane.

Compound Inequalities
Inequalities Involving Absolute Values
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

4.G: Write, simplify and evaluate algebraic expressions.

4.G.1: Represent and analyze patterns, rules and functions with words, tables, graphs and simple variable expressions.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
Introduction to Functions
Linear Functions
Quadratic and Absolute Value Functions
Using Algebraic Expressions
Using Tables, Rules and Graphs

4.H: Solve linear equations and inequalities symbolically, graphically and numerically.

4.H.4: Create visual representations of equation-solving processes that model the use of inverse operations.

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

4.I: Explain how inverse operations are used to solve linear equations.

4.I.4: Create visual representations of equation-solving processes that model the use of inverse operations.

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

4.K: Graph linear equations and inequalities.

4.K.5: Represent linear equations by plotting points in the coordinate plane.

Points in the Coordinate Plane - Activity A

4.K.6: Represent inequalities on a number line or a coordinate plane.

Compound Inequalities
Inequalities Involving Absolute Values
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

4.L: Analyze functional relationships, and explain how a change in one quantity results in a change in the other.

4.L.10: Analyze linear and simple nonlinear relationships to explain how a change in one variable results in the change of another.

Using Algebraic Equations

5: Data Analysis and Probability

5.A: Read, create and use line graphs, histograms, circle graphs, box-and-whisker plots, stem-and-leaf plots, and other representations when appropriate.

5.A.1: Read, create and interpret box-and-whisker plots, stem-and-leaf plots, and other types of graphs, when appropriate.

Box-and-Whisker Plots
Stem-and-Leaf Plots

5.B: Interpret data by looking for patterns and relationships, draw and justify conclusions, and answer related questions.

5.B.4: Construct opposing arguments based on analysis of the same data, using different graphical representations.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots

5.C: Evaluate interpretations and conclusions as additional data are collected, modify conclusions and predictions, and justify new findings.

Correlation
Solving Using Trend Lines

5.D: Compare increasingly complex displays of data, such as multiple sets of data on the same graph.

5.D.5: Compare data from two or more samples to determine how sample selection can influence results.

Populations and Samples

5.E: Collect, organize, display and interpret data for a specific purpose or need.

5.E.2: Analyze how decisions about graphing affect the graphical representation; e.g., scale, size of classes in a histogram, number of categories in a circle graph.

Histograms

5.F: Determine and use the range, mean, median and mode to analyze and compare data, and explain what each indicates about the data.

5.F.3: Analyze a set of data by using and comparing combinations of measures of center (mean, mode, median) and measures of spread (range, quartile, interquartile range), and describe how the inclusion or exclusion of outliers affects those measures.

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Populations and Samples

5.G: Evaluate conjectures and predictions based upon data presented in tables and graphs, and identify misuses of statistical data and displays.

5.G.2: Analyze how decisions about graphing affect the graphical representation; e.g., scale, size of classes in a histogram, number of categories in a circle graph.

Histograms

5.H: Find all possible outcomes of simple experiments or problem situations, using methods such as lists, arrays and tree diagrams.

Permutations and Combinations

5.I: Describe the probability of an event using ratios, including fractional notation.

5.I.7: Compute probabilities of compound events; e.g., multiple coin tosses or multiple rolls of number cubes, using such methods as organized lists, tree diagrams and area models.

Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
Permutations and Combinations

5.J: Compare experimental and theoretical results for a variety of simple experiments.

Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability

5.K: Make and justify predictions based on experimental and theoretical probabilities.

5.K.8: Make predictions based on theoretical probabilities, design and conduct an experiment to test the predictions, compare actual results to predicted results, and explain differences.

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability

Content correlation last revised: 5/22/2007