A: Students will be expected to demonstrate number sense and apply number theory concepts

A.A1: relate sets of numbers to solutions of inequalities

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

A.A4: approximate square roots

Square Roots

A.A8: demonstrate an understanding of and apply properties to operations involving square roots

Operations with Radical Expressions

B: Students will be expected to demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations

B.B3: use concrete materials, pictorial representations, and algebraic symbolism to perform operations on polynomials

Addition and Subtraction of Functions
Addition of Polynomials
Dividing Polynomials Using Synthetic Division

B.B4: identify and calculate the maximum and/ or minimum values in a linear programming model

Linear Programming

C: Students will be expected to explore, recognize, represent, and apply patterns and relationships, both formally and informally

C.C1: express problems in terms of equations and vice versa

Solving Equations on the Number Line
Using Algebraic Equations

C.C2: model real-world phenomena with linear, quadratic, exponential and power equations, and linear inequalities

Addition and Subtraction of Functions
Linear Inequalities in Two Variables
Solving Equations by Graphing Each Side
Systems of Linear Inequalities (Slope-intercept form)

C.C4: create and analyze plots using appropriate technology

Stem-and-Leaf Plots

C.C6: apply linear programming to find optimal solutions to real- world problems

Linear Programming

C.C8: identify, generalize, and apply patterns

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

C.C10: describe real-world relationships depicted by graphs, tables of values, and written descriptions

Earthquakes 1 - Recording Station
Estimating Population Size

C.C11: write an inequality to describe its graph

Absolute Value Equations and Inequalities
Linear Inequalities in Two Variables
Solving Linear Inequalities in One Variable
Systems of Linear Inequalities (Slope-intercept form)

C.C12: express and interpret constraints using inequalities

Systems of Linear Inequalities (Slope-intercept form)

C.C13: determine the slope and y-intercept of a line from a table of values or a graph

Cat and Mouse (Modeling with Linear Systems) - Metric
Introduction to Functions
Logarithmic Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Roots of a Quadratic
Slope
Slope-Intercept Form of a Line
Standard Form of a Line

C.C14: determine the equation of a line using the slope and y-intercept

Point-Slope Form of a Line
Points, Lines, and Equations
Slope
Slope-Intercept Form of a Line
Standard Form of a Line

C.C15: develop and apply strategies for solving problems

Estimating Population Size

C.C16: interpret solutions to equations based on context

Circles

C.C18: investigate and find the solution to a problem by graphing two linear equations with and without technology

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Polynomial Form
Quadratics in Vertex Form
Solving Equations on the Number Line
Standard Form of a Line

C.C19: solve systems of linear equations using substitution and graphing methods

Cat and Mouse (Modeling with Linear Systems) - Metric
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

C.C22: analyze and describe transformations of quadratic functions and apply them to absolute value functions

Absolute Value with Linear Functions
Exponential Functions
Quadratics in Vertex Form
Translating and Scaling Functions
Translations
Zap It! Game

C.C24: rearrange equations

Operations with Radical Expressions

C.C25: solve equations using graphs

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Circles
Parabolas
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
Solving Equations on the Number Line
Standard Form of a Line

C.C26: solve quadratic equations by factoring

Modeling the Factorization of x²+bx+c
Quadratics in Factored Form

C.C27: solve linear and simple radical, exponential, and absolute value equations and linear inequalities

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Operations with Radical Expressions
Radical Functions
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Linear Inequalities in One Variable
Standard Form of a Line
Systems of Linear Inequalities (Slope-intercept form)

C.C28: explore and describe the dynamics of change depicted in tables and graphs

Points, Lines, and Equations
Zap It! Game

C.C30: compare regression models of linear and non-linear functions

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Zap It! Game

C.C31: graph equations and inequalities and analyze graphs both with and without graphing technology

Radical Functions

C.C36: explore, determine, and apply relationships between perimeter and area, surface area, and volume

Circumference and Area of Circles
Perimeter and Area of Rectangles

D: Students will be expected to demonstrate an understanding of and apply concepts and skills associated with measurement

D.D1: determine and apply formulas for perimeter, area, surface area, and volume

Area of Parallelograms
Area of Triangles
Perimeter and Area of Rectangles
Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

D.D2: apply the properties of similar triangles

Perimeters and Areas of Similar Figures
Similar Figures
Similarity in Right Triangles

D.D3: relate the trigonometric functions to the ratios in similar right triangles

Sine, Cosine, and Tangent Ratios

D.D4: use calculators to find trigonometric values of angles and angles when trigonometric values are known

Sine, Cosine, and Tangent Ratios

D.D5: apply trigonometric functions to solve problems involving right triangles, including the use of angles of elevation

Sine, Cosine, and Tangent Ratios

D.D8: solve problems involving similar triangles and right triangles

Classifying Triangles
Concurrent Lines, Medians, and Altitudes
Perimeters and Areas of Similar Figures
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Similar Figures
Similarity in Right Triangles

D.D12: solve problems using trigonometric ratios

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

D.D13: demonstrate an understanding of the concepts of surface area and volume

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

D.D14: apply the Pythagorean Theorem

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

E: Students will be expected to demonstrate spatial sense and apply geometric concepts, properties, and relationships

E.E1: explore properties of, and make and test conjectures about, 2- and 3-dimensional figures

Classifying Quadrilaterals

E.E3: construct and apply altitudes, medians, angle bisectors, and perpendicular bisectors to examine their intersection points

Concurrent Lines, Medians, and Altitudes

E.E4: apply transformations when solving problems

Circles
Dilations
Rotations, Reflections, and Translations
Translations

E.E5: use transformations to draw graphs

Absolute Value with Linear Functions
Circles
Dilations
Rotations, Reflections, and Translations
Translations

E.E7: demonstrate an understanding of and write a proof for the Pythagorean Theorem

Pythagorean Theorem
Pythagorean Theorem with a Geoboard

E.E9: use deductive reasoning and construct logical arguments and be able to determine, when given a logical argument, if it is valid

Conditional Statements

F: Students will be expected to solve problems involving the collection, display, and analysis of data

F.F1: design and conduct experiments using statistical methods and scientific inquiry

Real-Time Histogram

F.F2: demonstrate an understanding of the concerns and issues that pertain to the collection of data

Describing Data Using Statistics

F.F3: construct various displays of data

Box-and-Whisker Plots
Correlation
Stem-and-Leaf Plots

F.F4: calculate various statistics using appropriate technology, analyze and interpret data displays, and describe relationships

Polling: City
Real-Time Histogram
Stem-and-Leaf Plots

F.F5: analyze statistical summaries, draw conclusions, and communicate results about distributions of data

Box-and-Whisker Plots
Describing Data Using Statistics
Polling: City
Populations and Samples
Real-Time Histogram

F.F6: solve problems by modeling real-world phenomena

Determining a Spring Constant
Estimating Population Size

F.F8: determine and apply the line of best fit using the least squares method and median method with and without technology, and describe the differences between the two methods

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines

F.F9: demonstrate an intuitive understanding of correlation

Correlation
Solving Using Trend Lines