Standards

1.1.2: Apply proportions to solve problems

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Polling: Neighborhood

Proportions and Common Multipliers

Similar Figures - Activity A

Similar Polygons

1.1.3: Locate rational number on a number line

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Integers

Comparing and Ordering Rational Numbers

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Real Number Line - Activity A

1.1.4: Apply equivalent forms of rational number (including percents) to solve problems

Improper Fractions and Mixed Numbers

Percents, Fractions and Decimals

1.2.1: Develop and analyze algorithms and compute with rational numbers

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

1.2.2: Use order of operation rules, including exponents

1.2.3: Develop and use strategies to estimate the results of rational number computations and judge the reasonableness of results

Estimating Population Size

Estimating Sums and Differences

1.2.4: Estimate square roots of whole numbers less than 100 and cube roots of whole numbers less than 1000 between two whole numbers

1.3.1: Demonstrate the meaning of square roots as lengths of the sides of squares and cube roots as lengths of edges of cubes

1.3.2: Use the inverse operations of squares and square roots to solve problems and check solutions

1.3.3: Apply the associative, commutative, and distributive properties to simplify computations with rational numbers

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

2.1.1: Choose appropriate measures of central tendencies to describe given or derived data

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

2.1.2: Estimate a line of best fit on a scatter plot and informally explain the meaning of the line and use the line to make predictions

Correlation

Lines of Best Fit Using Least Squares - Activity A

Scatter Plots - Activity A

Solving Using Trend Lines

2.2.2: Apply theoretical probability to determine if an event or game is fair or unfair and pose and evaluate modifications to change the fairness

Geometric Probability - Activity A

Probability Simulations

Theoretical and Experimental Probability

2.3.2: Represent bivariate data in a scatter plot and identify relationships in the plot

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

3.1.1: Represent, analyze and determine rules for finding patterns relating to linear functions, non-linear functions and arithmetic sequences with tables, graphs, and symbolic rules

Arithmetic Sequences

Arithmetic and Geometric Sequences

Linear Functions

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

3.1.2: Identify functions as linear or nonlinear from tables, graphs, or equations and contrast their properties

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

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

3.1.3: Interpret the meaning of the rate of change and y-intercept of a linear relationship in a problem setting

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Linear Functions

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

3.2.1: Represent and solve equations of the form ax+b=c or k(ax+ b) = c

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

3.2.2: Approximate solutions of systems of linear equations from a graph

Modeling Linear Systems - Activity A

3.2.3: Recognize and generate equivalent symbolic forms for algebraic expressions with an emphasis on linear relationships

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

3.2.4: Evaluate algebraic expressions and formulas, including expressions involving exponents and parentheses, by substituting rational numbers

3.2.5: Translate between and interpret linear relationships represented by words, symbols, tables, and graphs

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 Algebraic Equations

Using Algebraic Expressions

Using Tables, Rules and Graphs

3.2.6: Determine the slope and x- and y-intercepts given the graph of a linear equation

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Polynomials and Linear Factors

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

3.2.7: Graph a linear equation given the slope and an initial value (y-intercept)

Defining a Line with Two Points

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Solving Equations By Graphing Each Side

Standard Form of a Line

Using Tables, Rules and Graphs

3.2.8: Recognize and graph the solutions of linear inequalities on a coordinate plane

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Linear Programming - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Systems of Linear Inequalities (Slope-intercept form) - Activity A

3.2.9: Graph simple quadratic equations (y=kx² or y=kx²+b) by generating a table of values for a given equation

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

3.2.10: Identify and describe the effects of changing the slope or y-intercept on the graph of a linear relationship of the form y=kx or y=kx+b

Defining a Line with Two Points

Linear Functions

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

3.3.1: Model situations, make predictions and inferences, and solve problems using linear equations and inequalities

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

3.3.2: Recognize and represent direct variation using tables, graphs, and equations

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

3.3.3: Determine when data represented in a table or graph represents a linear or non-linear relationship

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

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

3.4.1: Understand that the rate of change in a linear function is constant and is equal to the slope of its graphed line

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Linear Functions

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

3.4.3: Analyze the nature of change in quantities in linear relationships represented by graphs, tables, or formulas

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

4.2.1: Calculate and analyze changes in area and volume in relation to changes in linear measures of figures

Area of Parallelograms - Activity A

Prisms and Cylinders - Activity A

4.2.2: Analyze how changes in surface area and volume of a solid affect the dimensions of the solid

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

4.2.3: Solve problems involving rates and derived measurements for such attributes as speed, velocity, and density

Density Experiment: Slice and Dice

Density Laboratory

Determining Density via Water Displacement

4.2.4: Determine actual distances from scale drawings, blueprints, and maps and solve problems involving scale factors

Dilations

Similar Figures - Activity A

Similar Polygons

5.1.1: Determine defining properties that characterize classes of triangles including side and angle measurements and their component parts (e.g., angle bisectors, altitudes, medians)

Classifying Triangles

Isosceles and Equilateral Triangles

Pythagorean Theorem - Activity B

Triangle Angle Sum - Activity A

5.1.2: Use proportional reasoning, drawings, models or technology to demonstrate similarity and congruence of polygons with an emphasis on triangles

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

5.1.3: Determine the measures of corresponding sides and angles of congruent and similar triangles and their component parts

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

Triangle Angle Sum - Activity A

5.1.4: Use similar triangles to measure distances indirectly (e.g., flagpole and shadow)

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

5.1.5: Use the Pythagorean theorem to determine if triangles are right triangles and determine the lengths of missing sides in right triangles

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

5.1.6: Investigate triangles and their components parts and draw conclusion about their properties

5.1.7: Create and critique inductive and deductive arguments to verify the pythagorean theorem

Biconditional Statement

Conditional Statement

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

5.1.8: Justify conclusions that two triangles are or are not congruent and are or are not similar

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

5.2.1: Draw to scale two-dimensional representations of rectangular prisms and triangles with specified side lengths or angle measures

Classifying Triangles

Prisms and Cylinders - Activity A

Surface and Lateral Area of Prisms and Cylinders

5.2.2: Construct and read drawings and models made to scale

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

5.3.1: On a coordinate plane, determine the relative placement (e.g., intersecting, parallel, perpendicular) of two lines

Construct Parallel and Perpendicular Lines

Points in the Coordinate Plane - Activity A

5.3.2: Determine the distance between two points on a coordinate graph using right triangles and the Pythagorean theorem

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

5.4.1: Classify transformations based on whether they produce congruent or similar non-congruent figures (e.g., compare pairs of shapes (where the image has been transformed, identify the type of translation and use angles, diagonals and lines of symmetry to determine congruence)

Classifying Quadrilaterals - Activity A

Constructing Congruent Segments and Angles

Dilations

Holiday Snowflake Designer

Parallelogram Conditions

Perimeters and Areas of Similar Figures

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Reflections

Rotations, Reflections and Translations

Similar Figures - Activity A

Similar Polygons

Special Quadrilaterals

5.4.2: Identify and sketch the figure that is the result of a given rotation, translation, reflection or dilation or a combination of two transformations

Dilations

Reflections

Rotations, Reflections and Translations

Translations

5.4.3: Know properties of dilated images

5.4.4: Determine the effects of a transformation on linear and area measurements of the original figure

Dilations

Perimeter, Circumference, and Area - Activity B

Reflections

Rotations, Reflections and Translations

Correlation last revised: 10/24/2008

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