Priority Academic Student Skills

A1.1.1: Translate word phrases and sentences into expressions and equations and vice versa.

Using Algebraic Equations

Using Algebraic Expressions

A1.1.2: Expressions

A1.1.2.a: Simplify and evaluate linear, absolute value, rational and radical expressions.

Dividing Exponential Expressions

Exponents and Power Rules

Inequalities Involving Absolute Values

Simplifying Radicals - Activity A

A1.1.2.b: Simplify polynomials by adding, subtracting or multiplying.

Addition of Polynomials - Activity A

A1.2.1: Relations and Functions

A1.2.1.a: Distinguish between linear and nonlinear data.

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Functions Involving Square Roots

General Form of a Rational Function

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

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

Sine Function

Slope-Intercept Form of a Line - Activity A

Tangent Function

Unit Circle

Using Tables, Rules and Graphs

A1.2.1.b: Distinguish between relations and functions.

Introduction to Functions

Linear Functions

A1.2.1.c: Identify dependent and independent variables, domain and range.

A1.2.1.d: Evaluate a function using tables, equations or graphs.

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Introduction to Functions

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Slope-Intercept Form of a Line - Activity A

Tangent Function

Using Algebraic Equations

Using Tables, Rules and Graphs

A1.2.2: Recognize the parent graph of the functions y = k, y = x, y = |x|, and predict the effects of transformations on the parent graph (e.g., y = |x| + 2, change slope, change intercepts, change slope and intercept).

Functions Involving Square Roots

Linear Functions

Point-Slope Form of a Line - Activity A

Quadratic and Absolute Value Functions

Reflections of a Linear Function

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

Using Tables, Rules and Graphs

A1.2.3: Calculate the slope of a line using a graph, an equation, two points or a set of data points.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

A1.2.4: Develop the equation of a line and graph linear relationships given the following:

A1.2.4.a: slope and y-intercept

Defining a Line with Two Points

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

A1.2.4.b: slope and one point on the line

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope - Activity B

A1.2.4.c: two points on the line

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

A1.2.4.d: x-intercept and y-intercept

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

A1.2.4.e: a set of data points

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Standard Form of a Line

A1.2.5: Slope Interpretation

A1.2.5.a: Use the slope to differentiate between lines that are parallel, perpendicular, horizontal, or vertical.

Point-Slope Form of a Line - Activity A

Slope - Activity B

A1.2.5.b: Interpret the slope and intercepts within the context of everyday life (e.g., telephone charges based on base rate [y-intercept] plus rate per minute [slope]).

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

A1.2.6: Linear Equations and Inequalities

A1.2.6.a: Solve linear equations by graphing or using properties of equality.

Modeling Linear Systems - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Formulas for any Variable

Solving Linear Systems by Graphing

Solving Two-Step Equations

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

A1.2.6.b: Solve linear inequalities by graphing or using properties of inequalities.

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Linear Programming - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Systems of Linear Inequalities (Slope-intercept form) - Activity A

A1.2.6.c: Match appropriate equations or inequalities (with 1 or 2 variables) to a graph, table, or situation and vice versa.

Ellipse - Activity A

Inequalities Involving Absolute Values

Linear Functions

Linear Inequalities in Two Variables - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Systems of Linear Inequalities (Slope-intercept form) - Activity A

Using Tables, Rules and Graphs

A1.2.7: Solve a system of linear equations by graphing, substitution or elimination.

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

A1.2.8: Problem Solving

A1.2.8.a: Use the formulas from measurable attributes of geometric models (perimeter, circumference, area and volume), science, and statistics to solve problems within an algebraic context.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

A1.2.8.b: Solve two-step and three-step problems using concepts such as rules of exponents, probability, rate, distance, ratio and proportion, measures of central tendency and percent.

Geometric Probability - Activity A

Mean, Median and Mode

Polling: Neighborhood

A1.2.9: Nonlinear Functions

A1.2.9.a: Match exponential and quadratic functions to a table, graph or situation and vice versa.

Exponential Functions - Activity A

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Using Tables, Rules and Graphs

A1.2.9.b: Solve quadratic equations by graphing, factoring, or using the quadratic formula.

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Roots of a Quadratic

A1.3.2: Collect data involving two variables and display on a scatter plot; interpret results using a linear model/equation and identify whether the model/equation is a line best fit for the data (e.g., given a scatter plot and several linear equations, which one is the best fit?).

Correlation

Lines of Best Fit Using Least Squares - Activity A

Solving Using Trend Lines

GE.1.1: Properties and Relationships of Figures

GE.1.1.a: Identify the relationships of parallel lines with a transversal.

Investigating Angle Theorems - Activity A

Triangle Angle Sum - Activity A

GE.1.1.b: Identify relationships between pairs of angles (e.g., adjacent, complementary, vertical).

Investigating Angle Theorems - Activity A

GE.1.2: Determine and use the relationships of congruency and similarity to determine unknown values.

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

GE.2.1: Polygons

GE.2.1.a: Identify and describe polygons (i.e., convex, concave, regular)

Classifying Quadrilaterals - Activity B

Classifying Triangles

Parallelogram Conditions

Special Quadrilaterals

GE.2.1.b: Apply the interior and exterior angle sum of convex polygons to solve problems.

Polygon Angle Sum - Activity A

Triangle Angle Sum - Activity A

GE.2.1.c: Develop and apply the properties of quadrilaterals to solve problems (e.g., rectangles, parallelograms, rhombi, trapezoids, kites).

Classifying Quadrilaterals - Activity B

Parallelogram Conditions

Special Quadrilaterals

GE.2.2: Draw and analyze 2- and 3-dimensional figures.

Classifying Triangles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

GE.2.3: Use properties of 2- and 3-dimensional figures to determine unknown values (e.g., given the perimeter/circumference, find the area).

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

GE.2.4: Compute length, perimeter or circumference, area, volume, and surface area of geometric figures with missing information and correctly identify the appropriate unit of measure of each.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

GE.2.5: Use geometric tools (e.g., protractor, compass, straight edge) to construct a variety of figures.

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

GE.2.7: Chords, Secants and Tangents

GE.2.7.a: Identify and describe the relationship between two chords that intersect in the interior of a circle.

Chords and Arcs

Inscribing Angles

GE.3.1: Use transformations (reflection, rotation, translation) within coordinate geometry (e.g., reflect points across the y-axis).

Reflections

Rotations, Reflections and Translations

Translations

GE.3.2: Use coordinate geometry to find the distance between two points; the midpoint of a segment; and to calculate the slopes of parallel, perpendicular, horizontal, and vertical lines.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Point-Slope Form of a Line - Activity A

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Slope - Activity B

GE.3.3: Given a set of points determine the type of figure based on its properties (e.g., parallelogram, isosceles triangle, regular octagon).

Classifying Triangles

Isosceles and Equilateral Triangles

Parallelogram Conditions

GE.4.1: Solve problems using properties of angles (e.g., interior, exterior, complementary, vertical, angle sums, 30-60-90).

Investigating Angle Theorems - Activity A

Polygon Angle Sum - Activity A

Triangle Angle Sum - Activity A

GE.4.2: Use the Pythagorean Theorem and its converse to find missing side lengths and to determine acute, right, and obtuse triangles.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Triangle Angle Sum - Activity A

GE.4.4: Express the trigonometric functions as ratios and derive the relationship between sine, cosine, and tangent ratios, and use to solve real-world problems.

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

GE.4.5: Similar Polygons

GE.4.5.a: Use similar figures to construct ratios and solve for a missing side.

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

GE.4.5.b: Use ratios of similar figures to find linear distance, perimeter, area, and volume.

Perimeter, Circumference, and Area - Activity B

Perimeters and Areas of Similar Figures

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

Similar Figures - Activity A

Similar Polygons

A2.1.1: Define and perform operations on real and complex numbers.

Fractions with Unlike Denominators

A2.1.2: Convert expressions from radical notations and vice versa.

Simplifying Radicals - Activity A

A2.2.1: Recognize the parent graph of the function y = x² and predict the effects of transformations on the parent graph (e.g., y = x² + 3 shifts the graph up 3, y = 3x² creates vertical stretching by a factor of 3).

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Translating and Scaling Functions

Unit Circle

A2.2.2: Solve, graph and analyze systems of linear equations and inequalities.

Inequalities Involving Absolute Values

Linear Programming - Activity A

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Linear Systems by Graphing

Solving Two-Step Equations

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

Systems of Linear Inequalities (Slope-intercept form) - Activity A

A2.2.3: Solve quadratic equations by graphing, factoring, completing the square and quadratic formula.

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Roots of a Quadratic

A2.2.4: Compare the relationship between the x-intercepts (zeros) of a quadratic function and the roots of a quadratic equation to solve problems.

Parabolas - Activity A

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

A2.2.5: Interpret the maximum and minimum value and the y-intercept of a quadratic function.

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity A

A2.2.6: Identify, graph, and write the equations of the conic sections.

Circles

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

A2.2.7: Define and distinguish between relations and functions.

Introduction to Functions

Linear Functions

A2.2.8: Use functional notation and specify domain and range.

Functions Involving Square Roots

A2.2.9: Find and graph the inverse of a function.

Exponential Functions - Activity A

Functions Involving Square Roots

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

Unit Circle

A2.2.10: Exponential and Logarithmic Functions

A2.2.10.a: Interpret and graph exponential and logarithmic functions.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

A2.2.10.b: Apply the inverse relationship between exponential and logarithmic functions.

Exponential Functions - Activity A

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

A2.2.10.c: Use exponential and logarithmic functions to solve problems (e.g., compound interest, exponential growth or exponential decay).

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Half-life

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Simple and Compound Interest

A2.2.11: Solve multistep problems using concepts such as rate, distance, ratio and proportion, average, and percent.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Mean, Median and Mode

Polling: Neighborhood

Pythagorean Theorem - Activity A

A2.2.12: Polynomials

A2.2.12.a: Use synthetic division to find the solutions of a polynomial.

Dividing Polynomials Using Synthetic Division

A2.2.12.b: Use factoring to find the solutions of a polynomial.

Factoring Special Products

Modeling the Factorization of *x*^{2}+*bx*+*c*

A2.2.12.c: Graph a polynomial and identify the x- and y-intercepts, relative maximums and relative minimums.

Parabolas - Activity A

Point-Slope Form of a Line - Activity A

Polynomials and Linear Factors

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

A2.2.13: Rational Expressions and Equations

A2.2.13.a: Simplify rational expressions.

Dividing Exponential Expressions

A2.2.13.c: Graph rational expressions and identify x- and y-intercepts, horizontal asymptotes and vertical asymptotes.

Slope-Intercept Form of a Line - Activity A

Unit Circle

Using Tables, Rules and Graphs

A2.3.1: Collect data involving two variables and display on a scatter plot, interpret results using a linear, exponential or quadratic model/equation and identify whether the model/equation is a curve of best fit for the data.

Biconditional Statement

Conditional Statement

Correlation

Solving Using Trend Lines

A2.3.2: Analyze and synthesize data using measures of central tendency and standard deviation.

A2.3.3: Identify how given outliers affect representations of data (e.g., a regression line may be strongly affected by a few aberrant points while the same aberrant points might indicate a mistake on a scatter plot).

A2.3.4: Differentiate between arithmetic and geometric sequences and series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Biconditional Statement

Conditional Statement

Geometric Sequences

Proving Triangles Congruent

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

Correlation last revised: 10/24/2008

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