B: Number Operations and Relationships

B.a: Concepts

B.a.1: Compare and order real numbers.

Comparing and Ordering Decimals
Rational Numbers, Opposites, and Absolute Values

B.a.2: Analyze and solve problems using percents.

Percent of Change
Real-Time Histogram

B.a.3: Apply proportional reasoning and ratios in mathematical and real-world contexts.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part-to-part and Part-to-whole Ratios

B.b: Computation

B.b.1: Compare, perform and explain operations on real numbers with and without context e.g., transitivity, rate of change, exponential functions, scientific notation, roots, powers, reciprocals, absolute value, ratios, proportions, percents.

Percent of Change
Rational Numbers, Opposites, and Absolute Values
Square Roots

B.b.2: Select and use appropriate properties, computational procedures, and modes of representation with and without context e.g., simple and compound interest, commission, percents, proportions.

Beam to Moon (Ratios and Proportions)
Compound Interest
Part-to-part and Part-to-whole Ratios
Percent of Change

C: Geometry

C.a: Describing Figures

C.a.1: Identify, describe and analyze properties of 2 and 3 dimensional figures, relationships among figures and relationships among their parts (e.g., parallel, perpendicular and congruent sides, diagonals, various types of angles and triangles, complementary and supplementary angles, sum of angles in a triangle).

Classifying Quadrilaterals
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Triangle Angle Sum

C.a.3: Model problems using the Pythagorean Theorem and right triangle trigonometry.

Sine, Cosine, and Tangent Ratios

C.b: Spatial Relationships and Transformations

C.b.1: Use proportional reasoning to solve congruence and similarity problems (e.g., scale drawings and similar geometric figures).

Beam to Moon (Ratios and Proportions)
Dilations

C.b.2: Use transformations and symmetry to solve problems.

Circles
Dilations
Holiday Snowflake Designer

C.c: Coordinate Systems

C.c.1: Use the two-dimensional rectangular coordinate system to describe and characterize properties of geometric figures. Identify and apply symmetry about an axis.

Holiday Snowflake Designer
Parabolas
Points in the Coordinate Plane

C.c.2: Use the two-dimensional rectangular coordinate system and algebraic procedures to describe and characterize geometric properties and relationships (e.g., slope, intercepts, parallelism, and perpendicularity, Pythagorean Theorem, distance formula).

Cat and Mouse (Modeling with Linear Systems)
Circles
Distance Formula
Linear Functions
Logarithmic Functions
Parabolas
Points in the Coordinate Plane
Points, Lines, and Equations
Slope-Intercept Form of a Line

D: Measurement

D.c: Indirect Measurement

D.c.1: Determine the perimeter/area of two-dimensional figures.

Area of Parallelograms
Area of Triangles
Circumference and Area of Circles
Perimeter and Area of Rectangles

D.c.2: Determine the surface area/volume of three-dimensional figures.

Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

D.c.3: Solve for angles, and segments in similar polygons and arcs in circles.

Chords and Arcs
Inscribed Angles
Perimeters and Areas of Similar Figures
Similar Figures

D.c.4: Use right-triangle trig functions and the Pythagorean Theorem to solve right-triangle problems.

Circles
Cosine Function
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Sine, Cosine, and Tangent Ratios
Surface and Lateral Areas of Pyramids and Cones
Tangent Function

D.c.5: Use formulas in applications (e.g., Distance Formula, simple and compound interest).

Area of Triangles
Circles

E: Statistics and Probability

E.a: Data Analysis and Statistics

E.a.1: Organize, display, compare and interpret data in a variety of ways in mathematical and real-world contexts e.g., histograms, line graphs, stem-and-leaf plots, scatter plots, box-and whiskers, bar charts, Venn diagrams, tables, circle graphs.

Box-and-Whisker Plots
Compound Inequalities
Correlation
Describing Data Using Statistics
Estimating Population Size
Histograms
Least-Squares Best Fit Lines
Real-Time Histogram
Sight vs. Sound Reactions
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots

E.a.2: Interpret, analyze and make predictions from organized and displayed data. e.g., measures of central tendency such as mean, median, mode, and, measures of variation such as standard deviation, mean, median, mode, range, dispersion, outliers, line of best fit, percentiles.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Least-Squares Best Fit Lines
Mean, Median, and Mode
Polling: City
Populations and Samples
Real-Time Histogram
Sight vs. Sound Reactions
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots

E.a.3: Analyze, evaluate and critique methods and conclusions of statistical experiments, e.g., randomness, sampling, techniques, surveys.

Describing Data Using Statistics
Polling: City
Polling: Neighborhood
Real-Time Histogram

E.b: Probability

E.b.1: Determine the likelihood of occurrence of simple and complex events Ex: Combinations and permutations, fundamental counting principle, experimental versus theoretical probability and independent, dependent and conditional probability.

Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

F: Algebraic Relationships

F.a: Patterns, Relations and Functions

F.a.1: Describe, recognize, interpret and translate graphical representations of mathematical and real-world phenomena on coordinate grids, e.g., slope, intercepts, rate of change, linear and non-linear functions, and quadratic, exponential and constant functions.

Absolute Value with Linear Functions
Addition and Subtraction of Functions
Arithmetic Sequences
Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Distance-Time and Velocity-Time Graphs
Exponential Functions
Introduction to Exponential Functions
Linear Functions
Logarithmic Functions
Point-Slope Form of a Line
Points in the Coordinate Plane
Points, Lines, and Equations
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
Slope
Slope-Intercept Form of a Line
Standard Form of a Line
Translating and Scaling Functions
Translations
Zap It! Game

F.a.2: Analyze, generalize and represent patterns of change, e.g., direct and inverse variations, including numerical sequences, patterns to a given term, algebraic expressions and equations.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

F.b: Expressions, Equations and Inequalities

F.b.1: Solve linear and quadratic equations, linear inequalities and systems of linear equations and inequalities.

Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Linear Programming
Solving Linear Inequalities in One Variable
Systems of Linear Inequalities (Slope-intercept form)

F.b.2: Model and solve a variety of mathematical and real-world problems by using algebraic expressions, equations and inequalities, e.g., linear, exponential, quadratic.

Absolute Value with Linear Functions
Addition and Subtraction of Functions
Compound Interest
Linear Inequalities in Two Variables
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Standard Form of a Line
Systems of Linear Inequalities (Slope-intercept form)
Using Algebraic Expressions

F.b.3: Translate between different representations and describe the relationship among variable quantities in a problem, e.g., tables, graphs, functional notations, formulas.

Introduction to Functions
Points, Lines, and Equations
Using Algebraic Expressions

F.c: Properties

F.c.1: Demonstrate understanding of properties by evaluating and simplifying expressions.

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Operations with Radical Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Algebraic Equations I
Solving Algebraic Equations II

F.c.2: Demonstrate understanding of properties by solving linear and quadratic equations, linear inequalities, and systems of linear equations and inequalities with one or two variables.

Compound Inequalities
Linear Inequalities in Two Variables
Solving Algebraic Equations II
Solving Linear Inequalities in One Variable
Solving Linear Systems (Standard Form)
Solving Two-Step Equations