II: Number Sense, Computation, and Operations

II.A: Number Sense

II.A.1: Represent and compare rational and irrational numbers symbolically and 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

II.B: Computation and Operation

II.B.2: Find integer approximations of square roots of positive integers without a calculator.

Square Roots

II.B.5: Apply the correct order of operations and grouping symbols when using calculators and other technologies.

Order of Operations

II.B.7: 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: Recognize when a list of numbers forms an arithmetic or geometric progression and be able to determine subsequent terms in the progression.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

III.A.2: Represent quantitative relationships graphically and use the graphs to solve real-world and mathematical problems.

Cubic Function Activity
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Linear Functions
Linear Inequalities in Two Variables - Activity A
Modeling Linear Systems - Activity A
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

III.A.3: Generate a table of values from a formula and graph the resulting ordered pairs on a grid.

Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Introduction to Functions
Linear Functions
Points in the Coordinate Plane - 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

III.B: Algebra (Algebraic Thinking)

III.B.3: Use proportions and percents with one unknown quantity to solve real-world and mathematical problems.

Estimating Population Size
Polling: Neighborhood

III.B.4: Apply the correct order of operations including addition, subtraction, multiplication, division, grouping symbols and powers, to simplify and evaluate algebraic expressions.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
Order of Operations
Simplifying Radicals - Activity A

IV: Data Analysis, Statistics, and Probability

IV.A: Data and Statistics

IV.A.1: Construct and analyze histograms, circle graphs, stem-and-leaf plots and box-and-whisker plots.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Populations and Samples
Stem-and-Leaf Plots

IV.A.2: Compute the quartiles of a data set.

Box-and-Whisker Plots

IV.B: Probability

IV.B.1: Understand that if p is the probability of an event occurring, then 1 - p is the probability of the event not occurring.

Geometric Probability - Activity A

IV.B.2: Convert between odds and probabilities.

Geometric Probability - Activity A

IV.B.3: Use a variety of experiments to explore the relationship between experimental and theoretical probabilities and the effect of sample size on this relationship.

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: Use models and visualization to understand and create various two-dimensional diagrams of three-dimensional shapes.

3D and Orthographic Views - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

V.A.2: Predict the position and orientation of simple three-dimensional geometric shapes under transformations such as reflections, rotations and translations.

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Reflections
Rotations, Reflections and Translations
Translations

V.B: Geometry

V.B.1: Apply the relationship between changes in one or more linear distances in a planar figure and the change in area.

Area of Parallelograms - Activity A
Circle: Circumference and Area
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A

V.B.2: Use the concept of similarity in simple two-dimensional figures to solve real-world and mathematical problems involving proportionality.

Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

V.B.3: Know how to find the volumes of cubes, prisms, spheres and cylinders.

Prisms and Cylinders - Activity A

V.B.4: Know how to find the surface areas of cubes, prisms and cylinders.

Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders

V.B.5: Calculate perimeter and area of two-dimensional figures obtained by putting together triangles, parallelograms, and sectors of circles to solve real-world and mathematical problems.

Area of Parallelograms - Activity A

V.C: Measurement

V.C.2: Use arithmetic to solve simple real-world and mathematical problems involving mixed units such as minutes and hours in elapsed time, degrees and minutes in latitude and longitude and feet and inches in distance.

Elapsed Time