Academic Content Standards

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

1.B.1: Demonstrate an understanding of place value using powers of 10 and write large numbers in scientific notation.

Unit Conversions 2 - Scientific Notation and Significant Digits

1.B.3: Describe differences between rational and irrational numbers; e.g., use technology to show that some numbers (rational) can be expressed as terminating or repeating decimals and other (irrational) as non-terminating and non-repeating decimals.

Rational Numbers, Opposites, and Absolute Values

Percent of Change

Percents, Fractions, and Decimals

Beam to Moon (Ratios and Proportions)

Part-to-part and Part-to-whole Ratios

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Proportions and Common Multipliers

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

Estimating Sums and Differences

Order of Operations

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).

Rational Numbers, Opposites, and Absolute Values

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

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

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

1.I.7: Solve problems using the appropriate form of a rational number (fraction, decimal or percent).

Fraction Garden (Comparing Fractions)

Part-to-part and Part-to-whole Ratios

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Proportions and Common Multipliers

Rational Numbers, Opposites, and Absolute Values

Toy Factory (Set Models of Fractions)

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).

Rational Numbers, Opposites, and Absolute Values

2.B.2: Convert units of area and volume within the same measurement system using proportional reasoning and a reference table when appropriate; e.g., square feet to square yards, cubic meters to cubic centimeters.

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

Prisms and Cylinders

Pyramids and Cones

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

Area of Parallelograms

Area of Triangles

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

Beam to Moon (Ratios and Proportions)

Dilations

Estimating Population Size

Part-to-part and Part-to-whole Ratios

Percents and Proportions

Proportions and Common Multipliers

Similar Figures

Unit Conversions

2.E.5: Analyze problem situations involving measurement concepts, select appropriate strategies, and use an organized approach to solve narrative and increasingly complex problems.

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.

Surface and Lateral Areas of Prisms and Cylinders

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.

Surface and Lateral Areas of Prisms and Cylinders

Chords and Arcs

Circumference and Area of Circles

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Point-Slope Form of a Line

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

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.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

Special Parallelograms

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

Beam to Moon (Ratios and Proportions)

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

Beam to Moon (Ratios and Proportions)

Dilations

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

Holiday Snowflake Designer

Quilting Bee (Symmetry)

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

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

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

Isosceles and Equilateral Triangles

Polygon Angle Sum

Triangle Angle Sum

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).

Dilations

Holiday Snowflake Designer

Rock Art (Transformations)

Similar Figures

3.I.9: Draw representations of three-dimensional geometric objects from different views.

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

Beam to Moon (Ratios and Proportions)

Dilations

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Function Machines 1 (Functions and Tables)

Geometric Sequences

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

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Functions

Linear Functions

Points, Lines, and Equations

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

Arithmetic Sequences

Geometric Sequences

Modeling and Solving Two-Step Equations

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

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.

Function Machines 1 (Functions and Tables)

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

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

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

Absolute Value Equations and Inequalities

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Rational Numbers, Opposites, and Absolute Values

Solving Linear Inequalities in One Variable

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

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Functions

Linear Functions

Points, Lines, and Equations

4.G.7: Justify that two forms of an algebraic expression are equivalent, and recognize when an expression is simplified; e.g., 4*m* = * m * + * m * + * m* + * m* or * a* [dot] 5 + 4 = 5*a* + 4.

Exponents and Power Rules

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Operations with Radical Expressions

Order of Operations

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

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Point-Slope Form of a Line

Points, Lines, and Equations

Content correlation last revised: 11/13/2008

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.