Academic Standards

II.A.1: Represent rational numbers as fractions, mixed numbers, decimals or percents and convert among various forms as appropriate.

Improper Fractions and Mixed Numbers

Percents and Proportions

Percents, Fractions and Decimals

II.A.3: Locate and compare positive and negative rational numbers on a number line.

Comparing and Ordering Integers

Real Number Line - Activity A

II.B.1: Add, subtract, multiply and divide fractions and mixed numbers.

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

II.B.2: Use the inverse relationship between extracting square roots and squaring positive integers to solve real-world and mathematical problems.

II.B.3: Calculate the percentage of increase and decrease of a quantity in real-world and mathematical problems.

II.B.4: Convert among fractions, decimals and percents and use these representations for estimations and computations in real-world and mathematical problems.

Percents and Proportions

Percents, Fractions and Decimals

II.B.6: Apply the correct order of operations and grouping symbols when using calculators and other technologies.

II.B.8: Understand that use of a calculator requires appropriate mathematical reasoning and does not replace the need for mental computation.

Biconditional Statement

Conditional Statement

III.A.1: Demonstrate, numerically and graphically, an understanding that rate is a measure of change of one quantity per unit change of another quantity in real-world and mathematical problems.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

III.A.2: Plot points on the graph of a linear function and identify the slope or rate of change.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Linear Functions

Point-Slope Form of a Line - Activity A

Points in the Coordinate Plane - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

III.B.1: Apply the correct order of operations including addition, subtraction, multiplication, division and grouping symbols to generate equivalent algebraic expressions.

Adding Real Numbers

Order of Operations

III.B.3: Solve simple formulas with up to three variables, when the values of two of the variables are given.

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

Using Algebraic Equations

IV.A.1: Construct and analyze simple scatter plots.

Box-and-Whisker Plots

Correlation

Histograms

Line Plots

Scatter Plots - Activity A

Solving Using Trend Lines

Stem-and-Leaf Plots

IV.A.2: Understand the meaning of, and be able to compute minimum, maximum, range, median, mean and mode of a data set.

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

IV.B.1: Express probabilities as percentages, fractions, proportions and decimals.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

IV.B.2: Use a variety of experiments to explore the relationship between experimental and theoretical probabilities.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

V.A.1: Recognize a view of a three-dimensional shape, given a view from a different orientation.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

V.A.2: Use visual representations of transformations such as reflections, rotations, translations and change of scale in one and two dimensions to solve real-world and mathematical problems.

3D and Orthographic Views - Activity A

Reflections

Rotations, Reflections and Translations

V.B.1: Calculate the radius, diameter, circumference and area of a circle given any one of these.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

V.B.2: Calculate the area and perimeter of a sector of a circle given its angle and radius.

Chords and Arcs

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

V.B.3: Use ratios and proportions to interpret map scales and scale drawings.

V.B.4: Classify quadrilaterals as squares, rectangles, rhombi, parallelograms, kites, trapezoids or none of these.

Classifying Quadrilaterals - Activity A

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Special Quadrilaterals

V.C.1: Choose appropriate units to calculate, measure, and record length, weight, area and volume in both U.S. customary and metric systems.

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Correlation last revised: 10/24/2008