Pearson Georgia High School Mathematics Coordinate Algebra

A Correlation of

Pearson Georgia High School Mathematics

Coordinate Algebra

©2014

to the

Gwinnett County Academic Knowledge and Skills

(AKS) Mathematics

Integrated Algebra I

A Correlation of Pearson Georgia High School Coordinate Algebra ©2014 to the Gwinnett County Academic Knowledge and Skills (AKS) - Mathematics


Copyright © 2013 Pearson Education, Inc. or its affiliate(s). All rights reserved

Table of Contents

A - Process Skills...........................................................................................1

C - Geometry .................................................................................................7

E - Algebra ..................................................................................................10

F - Data Analysis and Probability.................................................................16

G - Reading Across the Curriculum..............................................................20



1

Gwinnett County Academic Knowledge and Skills (AKS) - Mathematics


Pearson Georgia High School Coordinate Algebra, ©2014

Chapter-Lesson

INTEGRATED ALGEBRA I A - Process Skills

use appropriate technology to solve mathematical problems (GPS) (MAM1_A2009-1)

TECHNOLOGY LAB 2-4: Graphing Functions and Solving Equations, TECHNOLOGY LAB 2-6: Even and Odd Functions, TECHNOLOGY LAB 3-3: Investigating y = mx + b, TECHNOLOGY LAB 4-1: Solving Systems Using Tables and Graphs, TECHNOLOGY LAB 8-4: Exploring Multiple Transformations

build new mathematical knowledge through problem-solving (GPS) (MAM1_A2009-2)

Activity Labs provide students with opportunities to explore problem situations: ACTIVITY LAB 1-5a: Unit Analysis, ACTIVITY LAB 1-5b: Accuracy and Measurement, 4-4 Applications of Linear Systems, ACTIVITY LAB 6-2a: Mean Absolute Deviation, ACTIVITY LAB 6-4: Using Residuals, ACTIVITY LAB 8-1: Tracing Paper Transformations, ACTIVITY LAB 8-2: Paper Folding and Reflections, ACTIVITY LAB 8-3: Symmetry, ACTIVITY LAB 9-4: Proving Slope Criteria for Parallel and Perpendicular Lines

solve problems that arise in mathematics and in other areas (GPS) (MAM1_A2009-3)

Activity Labs provide students with opportunities to explore problem situations in mathematics and other areas: ACTIVITY LAB 1-5a: Unit Analysis, ACTIVITY LAB 1-5b: Accuracy and Measurement, 4-4 Applications of Linear Systems, ACTIVITY LAB 6-2a: Mean Absolute Deviation, ACTIVITY LAB 6-4: Using Residuals, ACTIVITY LAB 8-1: Tracing Paper Transformations, ACTIVITY LAB 8-2: Paper Folding and Reflections, ACTIVITY LAB 8-3: Symmetry, ACTIVITY LAB 9-4: Proving Slope Criteria for Parallel and Perpendicular Lines



2




Chapter-Lesson

apply and adapt a variety of appropriate strategies to solve problems (GPS) (MAM1_A2009-4)

Activity Labs provide students with opportunities to practice problem-solving strategies: ACTIVITY LAB 1-5a: Unit Analysis, ACTIVITY LAB 1-5b: Accuracy and Measurement, 4-4 Applications of Linear Systems, ACTIVITY LAB 6-2a: Mean Absolute Deviation, ACTIVITY LAB 6-4: Using Residuals, ACTIVITY LAB 8-1: Tracing Paper Transformations, ACTIVITY LAB 8-2: Paper Folding and Reflections, ACTIVITY LAB 8-3: Symmetry, ACTIVITY LAB 9-4: Proving Slope Criteria for Parallel and Perpendicular Lines

monitor and reflect on the process of mathematical problem-solving (GPS) (MAM1_A2009-5)

Activity Labs provide students with opportunities to monitor and reflect on the process of mathematical problem-solving: ACTIVITY LAB 1-5a: Unit Analysis, ACTIVITY LAB 1-5b: Accuracy and Measurement, 4-4 Applications of Linear Systems, ACTIVITY LAB 6-2a: Mean Absolute Deviation, ACTIVITY LAB 6-4: Using Residuals, ACTIVITY LAB 8-1: Tracing Paper Transformations, ACTIVITY LAB 8-2: Paper Folding and Reflections, ACTIVITY LAB 8-3: Symmetry, ACTIVITY LAB 9-4: Proving Slope Criteria for Parallel and Perpendicular Lines

recognize reasoning and proof (evidence) as fundamental aspects of mathematics (GPS) (MAM1_A2009-6)

ACTIVITY LAB 9-4: Proving Slope Criteria for Parallel and Perpendicular Lines

make and investigate mathematical conjectures (GPS) (MAM1_A2009-7)


investigate, develop, and evaluate mathematical arguments and proofs (GPS) (MAM1_A2009-8)


select and use various types of reasoning and methods of proof (GPS) (MAM1_A2009-9)




3




Chapter-Lesson

organize and consolidate mathematics thinking (GPS) (MAM1_A2009-10)

Activity Labs provide students with opportunities to organize and consolidate mathematics thinking: ACTIVITY LAB 1-5a: Unit Analysis, ACTIVITY LAB 1-5b: Accuracy and Measurement, 4-4 Applications of Linear Systems, ACTIVITY LAB 6-2a: Mean Absolute Deviation, ACTIVITY LAB 6-4: Using Residuals, ACTIVITY LAB 8-1: Tracing Paper Transformations, ACTIVITY LAB 8-2: Paper Folding and Reflections, ACTIVITY LAB 8-3: Symmetry, ACTIVITY LAB 9-4: Proving Slope Criteria for Parallel and Perpendicular Lines

communicate mathematical thinking coherently to peers, teachers, and others (GPS) (MAM1_A2009-11)

Activity Labs provide students with opportunities to communicate mathematical thinking coherently to peers, teachers, and others: ACTIVITY LAB 1-5a: Unit Analysis, ACTIVITY LAB 1-5b: Accuracy and Measurement, 4-4 Applications of Linear Systems, ACTIVITY LAB 6-2a: Mean Absolute Deviation, ACTIVITY LAB 6-4: Using Residuals, ACTIVITY LAB 8-1: Tracing Paper Transformations, ACTIVITY LAB 8-2: Paper Folding and Reflections, ACTIVITY LAB 8-3: Symmetry, ACTIVITY LAB 9-4: Proving Slope Criteria for Parallel and Perpendicular Lines

analyze and evaluate the mathematical thinking and strategies of others (GPS) (MAM1_A2009-12)

Activity Labs provide students with opportunities to analyze and evaluate the mathematical thinking and strategies of others: ACTIVITY LAB 1-5a: Unit Analysis, ACTIVITY LAB 1-5b: Accuracy and Measurement, 4-4 Applications of Linear Systems, ACTIVITY LAB 6-2a: Mean Absolute Deviation, ACTIVITY LAB 6-4: Using Residuals, ACTIVITY LAB 8-1: Tracing Paper Transformations, ACTIVITY LAB 8-2: Paper Folding and Reflections, ACTIVITY LAB 8-3: Symmetry, ACTIVITY LAB 9-4: Proving Slope Criteria for Parallel and Perpendicular Lines



4




Chapter-Lesson

use the terminology and language of mathematics to express mathematical ideas precisely (GPS) (MAM1_A2009-13)

Activity Labs provide students with opportunities to use the terminology and language of mathematics to express mathematical ideas precisely: ACTIVITY LAB 1-5a: Unit Analysis, ACTIVITY LAB 1-5b: Accuracy and Measurement, 4-4 Applications of Linear Systems, ACTIVITY LAB 6-2a: Mean Absolute Deviation, ACTIVITY LAB 6-4: Using Residuals, ACTIVITY LAB 8-1: Tracing Paper Transformations, ACTIVITY LAB 8-2: Paper Folding and Reflections, ACTIVITY LAB 8-3: Symmetry, ACTIVITY LAB 9-4: Proving Slope Criteria for Parallel and Perpendicular Lines

recognize and use connections among mathematical ideas (GPS) (MAM1_A2009-14)

Activity Labs provide students with opportunities to recognize and use connections among mathematical ideas: ACTIVITY LAB 1-5a: Unit Analysis, ACTIVITY LAB 1-5b: Accuracy and Measurement, 4-4 Applications of Linear Systems, ACTIVITY LAB 6-2a: Mean Absolute Deviation, ACTIVITY LAB 6-4: Using Residuals, ACTIVITY LAB 8-1: Tracing Paper Transformations, ACTIVITY LAB 8-2: Paper Folding and Reflections, ACTIVITY LAB 8-3: Symmetry, ACTIVITY LAB 9-4: Proving Slope Criteria for Parallel and Perpendicular Lines



5




Chapter-Lesson

explain how mathematical ideas interconnect and build on one another to produce a coherent whole (GPS) (MAM1_A2009-15)

Students experience the connection between and the building upon mathematical ideas as they solve increasingly complex equations and inequalities, as they solve and apply systems of equations and inequalities, as they develop and apply the concept of a function, and as they develop and apply properties of geometric figures. Sample references: 1-2 Solving Multi-Step Equations, 1-3 Solving Equations With Variables on Both Sides, 1-6 Solving Proportions, 1-7 Solving Multi-Step Inequalities, 1-9 Absolute Value Equations and Inequalities, 2-2 Patterns and Linear Functions, 2-3 Patterns and Nonlinear Functions, 2-4 Graphing a Function Rule, TECHNOLOGY LAB 2-4: Graphing Functions and Solving Equations, 3-7 Graphing Absolute Value Functions, 4-1 Solving Systems by Graphing, TECHNOLOGY LAB 4-1: Solving Systems Using Tables and Graphs, 4-4 Applications of Linear Systems, 4-6 Systems of Linear Inequalities, 5-3 Comparing Linear and Exponential Functions, 5-5 Solving Exponential Equations

recognize and apply mathematics in contexts outside of mathematics (GPS) (MAM1_A2009-16)

4-4 Applications of Linear Systems, 5-4 Exponential Growth and Decay



6




Chapter-Lesson

create and use pictures, manipulatives, models, and symbols to organize, record, and communicate mathematical ideas (GPS) (MAM1_A2009-17)

Students use pictures, manipulatives, and models in lesson labs, activity labs, and technology labs: ACTIVITY LAB 1-5a: Unit Analysis, ACTIVITY LAB 1-5b: Accuracy and Measurement, TECHNOLOGY LAB 2-4: Graphing Functions and Solving Equations, TECHNOLOGY LAB 2-6: Even and Odd Functions, LESSON LAB 2-7: The Fibonacci Sequence, TECHNOLOGY LAB 3-3: Investigating y = mx + b, TECHNOLOGY LAB 4-1: Solving Systems Using Tables and Graphs, LESSON LAB 5-4: Using Properties of Exponents to Transform Functions, ACTIVITY LAB 6-2a: Mean Absolute Deviation, LESSON LAB 6-2b: Standard Deviation, ACTIVITY LAB 6-4: Using Residuals, LESSON LAB 7-6: Quadrilaterals and Other Polygons, ACTIVITY LAB 8-1: Tracing Paper Transformations, ACTIVITY LAB 8-2: Paper Folding and Reflections, ACTIVITY LAB 8-3: Symmetry, TECHNOLOGY LAB 8-4: Exploring Multiple Transformations, LESSON LAB 9-1: Partitioning a Segment, ACTIVITY LAB 9-4: Proving Slope Criteria for Parallel and Perpendicular Lines

select, apply, and translate among mathematical representations to solve problems (GPS) (MAM1_A2009-18)

1-2 Solving Multi-Step Equations, 1-3 Solving Equations With Variables on Both Sides, 1-4 Literal Equations and Formulas, 2-1 Using Graphs to Relate Two Quantities, 2-4 Graphing a Function Rule, TECHNOLOGY LAB 2-4: Graphing Functions and Solving Equations, 2-5 Writing a Function Rule, 3-3 Slope-Intercept Form, 3-4 Point-Slope Form, 3-5 Standard Form, 3-7 Graphing Absolute Value Functions, 4-1 Solving Systems by Graphing, TECHNOLOGY LAB 4-1: Solving Systems Using Tables and Graphs, 4-4 Applications of Linear Systems



7




Chapter-Lesson

use representations to model and interpret physical, social, and mathematical phenomena (GPS) (MAM1_A2009-19)

2-1 Using Graphs to Relate Two Quantities, 2-4 Graphing a Function Rule, TECHNOLOGY LAB 2-4: Graphing Functions and Solving Equations, 2-5 Writing a Function Rule, 3-7 Graphing Absolute Value Functions, 4-1 Solving Systems by Graphing, TECHNOLOGY LAB 4-1: Solving Systems Using Tables and Graphs, 4-4 Applications of Linear Systems, 5-4 Exponential Growth and Decay, 5-9 Radical and Piecewise Functions, 6-1 Frequency and Histograms, 6-3 Box-and-Whisker Plots, 6-4 Scatter Plots and Trend Lines

C - Geometry determine the distance between two

points (GPS) (MAM1_C2009-20) 7-6 Midpoint and Distance in the Coordinate Plane

determine the distance between a point and a line (GPS) (MAM1_C2009-21)

7-6 Midpoint and Distance in the Coordinate Plane, ACTIVITY LAB 8-2: Paper Folding and Reflections, 8-2 Reflections

determine the midpoint of a segment (GPS) (MAM1_C2009-22)

7-6 Midpoint and Distance in the Coordinate Plane

explain the distance formula as an application of the Pythagorean theorem (GPS) (MAM1_C2009-23)

7-6 Midpoint and Distance in the Coordinate Plane

use the coordinate plane to investigate properties of and verify conjectures related to triangles and quadrilaterals (GPS) (MAM1_C2009-24)

9-1 Perimeter and Area in the Coordinate Plane, 9-4 Polygons in the Coordinate Plane

use conjecture, inductive reasoning, deductive reasoning, counterexamples, and indirect proof as appropriate (GPS) (MAM1_C2009-25)




8




Chapter-Lesson

explain and use the relationships among a statement and its converse, inverse, and contrapositive (GPS) (MAM1_C2009-26)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 1-3 Conditional Statements, 1-4 Biconditionals and Definitions, 7-1 The Pythagorean Theorem and Its Converse of Analytic Geometry.

determine the sum of interior and exterior angles in a polygon (GPS) (MAM1_C2009-27)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 5-1 The Polygon Angle-Sum Theorems of Analytic Geometry.

use and explain triangle inequality, side-angle inequality, and exterior-angle inequality (GPS) (MAM1_C2009-28)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for lesson 4-6 Inequalities in One Triangle, 4-7 Inequalities in Two Triangles of Analytic Geometry.



9




Chapter-Lesson

use and explain congruence postulates and theorems for triangles (SSS, SAS, ASA, AAS, HL) (GPS) (MAM1_C2009-29)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 3-2 Triangle Congruence by SSS and SAS, 3-3 Triangle Congruence by ASA and AAS of Analytic Geometry.

use and prove properties of and relationships among special quadrilaterals: parallelogram, rectangle, rhombus, square, trapezoid, and kite (GPS) (MAM1_C2009-30)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 5-2 Properties of Parallelograms, 5-3 Proving That a Quadrilateral Is a Parallelogram, 5-4 Properties of Rhombuses, Rectangles, and Squares, 5-5 Conditions for Rhombuses, Rectangles, and Squares, 5-6 Trapezoids and Kites of Analytic Geometry.

find and use points of concurrency in triangles: incenter, orthocenter, circumcenter, and centroid (GPS) (MAM1_C2009-31)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 4-2 Perpendicular and Angle Bisectors, 4-3 Bisectors in Triangles, 4-4 Medians and Altitudes of Analytic Geometry.



10




Chapter-Lesson

E - Algebra represent functions using function

notation (GPS) (MAM1_E2009-32) 2-2 Patterns and Linear Functions, 2-3 Patterns and Nonlinear Functions, 2-4 Graphing a Function Rule, TECHNOLOGY LAB 2-4: Graphing Functions and Solving Equations, 2-5 Writing a Function Rule, 2-6 Formalizing Relations and Functions, TECHNOLOGY LAB 2-6: Even and Odd Functions, 3-7 Graphing Absolute Value Functions, 5-2 Exponential Functions, 5-3 Comparing Linear and Exponential Functions, LESSON LAB 5-4: Using Properties of Exponents to Transform Functions, 5-7 Combining Functions, 5-9 Radical and Piecewise Functions

graph the basic functions f(x)=xn, where n=1 to 3, f(x)=√x, f(x)=|x|, and f(x)=1/x (GPS) (MAM1_E2009-33)

2-4 Graphing a Function Rule, TECHNOLOGY LAB 2-4: Graphing Functions and Solving Equations, 3-7 Graphing Absolute Value Functions, 5-2 Exponential Functions, 5-3 Comparing Linear and Exponential Functions, 5-9 Radical and Piecewise Functions

graph transformations of basic functions including vertical shifts, horizontal shifts, stretches, and shrinks, as well as reflections across the x- and y-axes (GPS) (MAM1_E2009-34)

LESSON LAB 5-4: Using Properties of Exponents to Transform Functions, 5-7 Combining Functions

investigate and explain the characteristics of a function: domain, range, zeros, intercepts, intervals of increase and decrease, maximum and minimum values, and end behavior (GPS) (MAM1_E2009-35)

2-2 Patterns and Linear Functions, 2-3 Patterns and Nonlinear Functions, 2-4 Graphing a Function Rule, TECHNOLOGY LAB 2-4: Graphing Functions and Solving Equations, 2-5 Writing a Function Rule, 2-6 Formalizing Relations and Functions, TECHNOLOGY LAB 2-6: Even and Odd Functions, 3-7 Graphing Absolute Value Functions, 5-2 Exponential Functions, 5-3 Comparing Linear and Exponential Functions, LESSON LAB 5-4: Using Properties of Exponents to Transform Functions, 5-7 Combining Functions, 5-9 Radical and Piecewise Functions



11




Chapter-Lesson

relate to a given context the characteristics of a function and use graphs and tables to investigate its behavior (GPS) (MAM1_E2009-36)

2-2 Patterns and Linear Functions, 2-3 Patterns and Nonlinear Functions, 2-4 Graphing a Function Rule, TECHNOLOGY LAB 2-4: Graphing Functions and Solving Equations, 2-5 Writing a Function Rule, 2-6 Formalizing Relations and Functions, TECHNOLOGY LAB 2-6: Even and Odd Functions, 3-7 Graphing Absolute Value Functions, 5-2 Exponential Functions, 5-3 Comparing Linear and Exponential Functions, 5-9 Radical and Piecewise Functions

recognize sequences as functions with domains that are whole numbers (GPS) (MAM1_E2009-37)

2-2 Patterns and Linear Functions, 2-3 Patterns and Nonlinear Functions, 2-7 Arithmetic Sequences, LESSON LAB 2-7: The Fibonacci Sequence, 5-6 Geometric Sequences

explore rates of change, comparing constant rates of change (e.g., slope) versus variable rates of change and compare rates of change of linear, quadratic, square root, and other function families (GPS) (MAM1_E2009-38)

3-1 Rate of Change and Slope, 3-2 Direct Variation, TECHNOLOGY LAB 3-3: Investigating y = mx + b, 3-3 Slope-Intercept Form, 3-4 Point-Slope Form, 3-6 Slopes of Parallel and Perpendicular Lines, 5-3 Comparing Linear and Exponential Functions

determine graphically and algebraically whether a function has symmetry and whether it is even, odd, or neither (GPS) (MAM1_E2009-39)

TECHNOLOGY LAB 2-6: Even and Odd Functions

explain how any equation in x can be interpreted as the equation f(x) = g(x), and interpret the solutions of the equation as the x-value(s) of the intersection point(s) of the graphs of y = f(x) and y = g(x) (GPS) (MAM1_E2009-40)

TECHNOLOGY LAB 2-4: Graphing Functions and Solving Equations, 4-1 Solving Systems by Graphing, TECHNOLOGY LAB 4-1: Solving Systems Using Tables and Graphs

simplify algebraic and numeric expressions involving square root (GPS) (MAM1_E2009-41)

5-8 Simplifying Radicals



12




Chapter-Lesson

perform operations with square roots (GPS) (MAM1_E2009-42)

5-8 Simplifying Radicals

add, subtract, multiply, and divide polynomials (GPS) (MAM1_E2009-43)

For related content, please see: 5-7 Combining Functions Additionally, according to Common Core Georgia Performance Standards. CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 11-1 Adding and Subtracting Polynomials, 11-2 Multiplying and Factoring, 11-3 Multiplying Binomials, 11-4 Multiplying Special Cases of Analytic Geometry. Also see Advanced Algebra: 4-2 Adding, Subtracting, and Multiplying Polynomials, 4-5 Dividing Polynomials.

expand binomials using the binomial theorem (GPS) (MAM1_E2009-44)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Advanced Algebra and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 4-8 The Binomial Theorem of Advanced Algebra.



13




Chapter-Lesson

add, subtract, multiply, and divide rational expressions (GPS) (MAM1_E2009-45)

For related content, please see: 1-6 Solving Proportions Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Advanced Algebra and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 5-2 Multiplying and Dividing Rational Expressions, 5-3 Adding and Subtracting Rational Expressions of Advanced Algebra.

factor expressions by greatest common factor, grouping, trial and error, and special products limited to the following formulas: (x + y)² = x² + 2xy + y²; (x - y)² = x² - 2xy + y²; (x + y)(x - y) = x² - y²; (x + a)(x + b) = x² + (a + b)x + ab; (x + y)³ = x³ + 3x²y + 3xy² + y³; (x - y)³ = x³ - 3x²y + 3xy² - y³ (GPS) (MAM1_E2009-46)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 11-2 Multiplying and Factoring, 11-5 Factoring x2 + bx + c, 11-6 Factoring ax2 + bx + c, 11-7 Factoring Special Cases, 11-8 Factoring by Grouping of Analytic Geometry. This standard is also addressed in Advanced Algebra: 3-3 Factoring Quadratic Expressions.



14




Chapter-Lesson

use area and volume models for polynomial arithmetic (GPS) (MAM1_E2009-47)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 11-1 Adding and Subtracting Polynomials, 11-2 Multiplying and Factoring, 11-3 Multiplying Binomials, 11-4 Multiplying Special Cases and Advanced Algebra: 4-2 Adding, Subtracting, and Multiplying Polynomials, 4-5 Dividing Polynomials of Analytic Geometry.

solve quadratic equations in the form ax² + bx + c = 0, where a = 1, by using factorization and finding square roots where applicable (GPS) (MAM1_E2009-48)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 12-4 Solving Quadratic Equations, 12-5 Factoring to Solve Quadratic Equations, 12-6 Completing the Square, 12-7 The Quadratic Formula and the Discriminant and Advanced Algebra: 3-4 Quadratic Equations, 3-5 Completing the Square, 3-6 The Quadratic Formula of Analytic Geometry.



15




Chapter-Lesson

solve equations involving radicals such as √x + b = c, using algebraic techniques (GPS) (MAM1_E2009-49)

For related content, please see: 5-8 Simplifying Radicals, 5-9 Radical and Piecewise Functions Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Advanced Algebra and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 6-5 Solving Square Root and Other Radical Equations of Advanced Algebra.

use a variety of techniques, including technology, tables and graphs, to solve equations resulting from the investigation of x² + bx + c = 0 (GPS) (MAM1_E2009-50)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 12-4 Solving Quadratic Equations, 12-5 Factoring to Solve Quadratic Equations, 12-6 Completing the Square, 12-7 The Quadratic Formula and the Discriminant of Analytic Geometry. Also see Advanced Algebra: 3-4 Quadratic Equations, 3-5 Completing the Square, 3-6 The Quadratic Formula.



16




Chapter-Lesson

solve simple rational equations that result in linear equations or quadratic equations with leading coefficient of 1 (GPS) (MAM1_E2009-51)

For related content, please see: 1-6 Solving Proportions Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Advanced Algebra and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 5-7 Solving Rational Equations of Advanced Algebra.

F - Data Analysis and Probability organize, represent, investigate,

interpret, and make inferences from data (GPS) (MAM1_F2009-52)

6-1 Frequency and Histograms, 6-2 Measures of Central Tendency and Dispersion, ACTIVITY LAB 6-2a: Mean Absolute Deviation, LESSON LAB 6-2b: Standard Deviation, 6-3 Box-and-Whisker Plots, 6-4 Scatter Plots and Trend Lines, ACTIVITY LAB 6-4: Using Residuals, 6-5 Two-Way Frequency Tables

apply the addition and multiplication principles of counting (GPS) (MAM1_F2009-53)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 13-3 Permutations and Combinations of Analytic Geometry.



17




Chapter-Lesson

calculate and use simple permutations and combinations (GPS) (MAM1_F2009-54)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 13-3 Permutations and Combinations of Analytic Geometry.

find the probabilities of mutually exclusive events (GPS) (MAM1_F2009-55)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 13-4 Compound Probability of Analytic Geometry.

find the probabilities of dependent events (GPS) (MAM1_F2009-56)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 13-4 Compound Probability of Analytic Geometry.



18




Chapter-Lesson

calculate conditional probabilities (GPS) (MAM1_F2009-57)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 13-6 Conditional Probability Formulas of Analytic Geometry.

use expected value to predict outcomes (GPS) (MAM1_F2009-58)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Analytic Geometry and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 13-1 Experimental and Theoretical Probability, 13-2 Probability Distributions and Frequency Tables, 13-5 Probability Models, 13-7 Modeling Randomness, ACTIVITY LAB 13-7: Probability and Decision Making of Analytic Geometry.



19




Chapter-Lesson

compare summary statistics (mean, median, quartiles and interquartile range) from one sample data distribution to another sample data distribution in describing center and variability of data distributions (GPS) (MAM1_F2009-59)

For related content, please see: 6-2 Measures of Central Tendency and Dispersion, ACTIVITY LAB 6-2a: Mean Absolute Deviation, LESSON LAB 6-2b: Standard Deviation, ACTIVITY LAB 6-4: Using Residuals Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Advanced Algebra and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 1-1 Analyzing Data, 1-3 Samples and Surveys, ACTIVITY LAB 1-4c: Drawing Conclusions From Samples of Advanced Algebra.

compare averages of summary statistics from a large number of samples to the corresponding population parameters (GPS) (MAM1_F2009-60)

For related content, please see: 6-2 Measures of Central Tendency and Dispersion, ACTIVITY LAB 6-2a: Mean Absolute Deviation, LESSON LAB 6-2b: Standard Deviation, ACTIVITY LAB 6-4: Using Residuals Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Advanced Algebra and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 1-1 Analyzing Data, 1-2 Standard Deviation, 1-3 Samples and Surveys, ACTIVITY LAB 1-4a: Probability Distributions, 1-4 Normal Distributions, ACTIVITY LAB 1-4b: Margin of Error, ACTIVITY LAB 1-4c: Drawing Conclusions From Samples of Advanced Algebra.



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Chapter-Lesson

explain how a random sample is used to improve the chance of selecting a representative sample (GPS) (MAM1_F2009-61)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Advanced Algebra and not Coordinate Algebra. Lessons that address this standard and the respective teaching resources can be made available online for Coordinate Algebra. This standard is fully addressed in the print and digital materials for Lesson 1-1 Analyzing Data, 1-2 Standard Deviation, 1-3 Samples and Surveys, ACTIVITY LAB 1-4a: Probability Distributions, 1-4 Normal Distributions, ACTIVITY LAB 1-4b: Margin of Error, ACTIVITY LAB 1-4c: Drawing Conclusions From Samples of Advanced Algebra.

explore variability of data by determining the mean absolute deviation (the average of the absolute values of the deviations) (GPS) (MAM1_F2009-62)

ACTIVITY LAB 6-2a: Mean Absolute Deviation

G - Reading Across the Curriculum read and discuss mathematical material

to establish context for subject matter, develop mathematical vocabulary, and to be aware of current research (GPS) (MAM1_G2009-63)

Students are provided with opportunities to read and discuss mathematical material throughout the curriculum.

Documents

Pearson Georgia High School Mathematics Coordinate Algebra