Academic Content Standards

Comparing and Ordering Integers

Real Number Line - Activity A

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Percents and Proportions

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

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).

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.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.

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).

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

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

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.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

Circle: Circumference and Area

Circles

Introduction to Functions

Points in the Coordinate Plane - Activity A

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.

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.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.

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

Classifying Triangles

Holiday Snowflake Designer

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.

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.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.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

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

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

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

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.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

Correlation

Solving Using Trend Lines

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

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.

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.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.

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

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

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: 11/13/2008

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