Academic Standards

2.1.8: Numbers, Number Systems and Number Relationships

2.1.8.A: Represent and use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, exponents, scientific notation, square roots).

Improper Fractions and Mixed Numbers

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Square Roots

2.1.8.B: Simplify numerical expressions involving exponents, scientific notation and using order of operations.

2.1.8.C: Distinguish between and order rational and irrational numbers.

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Integers

Comparing and Ordering Rational Numbers

2.1.8.D: Apply ratio and proportion to mathematical problem situations involving distance, rate, time and similar triangles.

Beam to Moon (Ratios and Proportions)

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Estimating Population Size

Part:Part and Part:Whole Ratios

Polling: Neighborhood

Proportions and Common Multipliers

2.1.8.E: Simplify and expand algebraic expressions using exponential forms.

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

2.1.8.F: Use the number line model to demonstrate integers and their applications.

Comparing and Ordering Integers

Real Number Line - Activity A

2.1.8.G: Use the inverse relationships between addition, subtraction, multiplication, division, exponentiation and root extraction to determine unknown quantities in equations.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

2.2.8: Computation and Estimation

2.2.8.A: Complete calculations by applying the order of operations.

2.2.8.B: Add, subtract, multiply and divide different kinds and forms of rational numbers including integers, decimal fractions, percents and proper and improper fractions.

Adding Real Numbers

Adding and Subtracting Integers

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Order of Operations

Sums and Differences with Decimals

2.3.8: Measurement and Estimation

2.3.8.A: Develop formulas and procedures for determining measurements (e.g., area, volume, distance).

Area of Parallelograms - Activity A

Circle: Circumference and Area

Distance Formula - Activity A

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

2.3.8.: B. Solve rate problems (e.g., rate X time = distance, principal X interest rate = interest).

2.3.8.D: Estimate, use and describe measures of distance, rate, perimeter, area, volume, weight, mass and angles.

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

2.3.8.E: Describe how a change in linear dimension of an object affects its perimeter, area and volume.

Area of Parallelograms - Activity A

Circle: Circumference and Area

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

2.3.8.F: Use scale measurements to interpret maps or drawings.

Dilations

Similar Figures - Activity A

Similar Polygons

2.3.8.G: Create and use scale models.

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

2.6.8: Statistics and Data Analysis

2.6.8.A: Compare and contrast different plots of data using values of mean, median, mode, quartiles and range.

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

Populations and Samples

2.6.8.C: Fit a line to the scatter plot of two quantities and describe any correlation of the variables.

Correlation

Lines of Best Fit Using Least Squares - Activity A

Solving Using Trend Lines

2.6.8.D: Design and carry out a random sampling procedure.

2.6.8.E: Analyze and display data in stem-and- leaf and box-and-whisker plots.

Box-and-Whisker Plots

Stem-and-Leaf Plots

2.7.8: Probability and Predictions

2.7.8.A: Determine the number of combinations and permutations for an event.

Permutations

Permutations and Combinations

2.7.8.B: Present the results of an experiment using visual representations (e.g., tables, charts, graphs).

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

2.7.8.D: Compare and contrast results from observations and mathematical models.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

2.7.8.E: Make valid inferences, predictions and arguments based on probability.

Estimating Population Size

Geometric Probability - Activity A

2.8.8: Algebra and Functions

2.8.8.A: Apply simple algebraic patterns to basic number theory and to spatial relations

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

2.8.8.B: Discover, describe and generalize patterns, including linear, exponential and simple quadratic relationships.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Exponential Functions - Activity A

Finding Patterns

Geometric Sequences

Linear Functions

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

2.8.8.C: Create and interpret expressions, equations or inequalities that model problem situations.

2.8.8.E: Select and use a strategy to solve an equation or inequality, explain the solution and check the solution for accuracy.

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

2.8.8.F: Solve and graph equations and inequalities using scientific and graphing calculators and computer spreadsheets.

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

2.8.8.G: Represent relationships with tables or graphs in the coordinate plane and verbal or symbolic rules.

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Introduction to Functions

Linear Functions

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Slope-Intercept Form of a Line - Activity A

Using Algebraic Equations

Using Tables, Rules and Graphs

2.8.8.H: Graph a linear function from a rule or table.

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

2.8.8.I: Generate a table or graph from a function and use graphing calculators and computer spreadsheets to graph and analyze functions.

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Introduction to Functions

Linear Functions

Point-Slope Form of a Line - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

2.8.8.J: Show that an equality relationship between two quantities remains the same as long as the same change is made to both quantities; explain how a change in one quantity determines another quantity in a functional relationship.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Formulas for any Variable

Solving Two-Step Equations

2.9.8: Geometry

2.9.8.A: Construct figures incorporating perpendicular and parallel lines, the perpendicular bisector of a line segment and an angle bisector using computer software.

Construct Parallel and Perpendicular Lines

2.9.8.B: Draw, label, measure and list the properties of complementary, supplementary and vertical angles.

Investigating Angle Theorems - Activity A

2.9.8.C: Classify familiar polygons as regular or irregular up to a decagon.

Parallelogram Conditions

Special Quadrilaterals

2.9.8.D: Identify, name, draw and list all properties of squares, cubes, pyramids, parallelograms, quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles, spheres, triangles, prisms and cylinders.

Area of Parallelograms - Activity A

Parallelogram Conditions

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Special Quadrilaterals

Surface and Lateral Area of Prisms and Cylinders

2.9.8.E: Construct parallel lines, draw a transversal and measure and compare angles formed (e.g., alternate interior and exterior angles).

Construct Parallel and Perpendicular Lines

Investigating Angle Theorems - Activity A

Triangle Angle Sum - Activity A

2.9.8.F: Distinguish between similar and congruent polygons.

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

2.9.8.H: Use simple geometric figures (e.g., triangles, squares) to create, through rotation, transformational figures in three dimensions.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rotations, Reflections and Translations

2.9.8.I: Generate transformations using computer software.

Dilations

Reflections

Rotations, Reflections and Translations

2.9.8.J: Analyze geometric patterns (e.g., tessellations, sequences of shapes) and develop descriptions of the patterns.

2.9.8.K: Analyze objects to determine whether they illustrate tessellations, symmetry, congruence, similarity and scale.

Congruence in Right Triangles

Holiday Snowflake Designer

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

2.10.8: Trigonometry

2.10.8.A: Compute measures of sides and angles using proportions, the Pythagorean Theorem and right triangle relationships.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Perimeters and Areas of Similar Figures

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Similar Figures - Activity A

Similar Polygons

2.10.8.B: Solve problems requiring indirect measurement for lengths of sides of triangles.

Perimeters and Areas of Similar Figures

2.11.8: Concepts of Calculus

2.11.8.A: Analyze graphs of related quantities for minimum and maximum values and justify the findings.

2.11.8.C: Continue a pattern of numbers or objects that could be extended infinitely.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

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.