II: Number Sense, Computation, and Operations

II.A: Number Sense

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: Computation and Operation

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.

Square Roots

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

Percent of Change

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.

Order of Operations

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: Patterns, Functions, and Algebra

III.A: Patterns and Functions

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: Algebra (Algebraic Thinking)

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: Data Analysis, Statistics, and Probability

IV.A: Data and Statistics

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: Probability

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: Spatial Sense, Geometry, and Measurement

V.A: Spatial Sense

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: Geometry

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.

Similar Figures - Activity A

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: Measurement

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