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A Correlation of

Pearson Georgia High School Mathematics

Analytic Geometry

©2014

to the

Gwinnett County Academic Knowledge and Skills

(AKS) Mathematics

Integrated Geometry

A Correlation of Pearson Georgia High School Analytic Geometry ©2014 to the Gwinnett County Academic Knowledge and Skills (AKS) – Mathematics

Integrated Geometry

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

Table of Contents

A - Process Skills.................................................................................................... 1 B - Numbers and Operations .................................................................................. 8 C - Geometry .......................................................................................................... 8 E - Algebra ........................................................................................................... 10 F - Data Analysis and Probability.......................................................................... 15 G - Reading Across the Curriculum....................................................................... 19


Integrated Geometry

1

Gwinnett County Academic Knowledge and Skills (AKS) - Mathematics

Integrated Geometry

Pearson Georgia High School Analytic Geometry ©2014

Chapter-Lesson

INTEGRATED GEOMETRY A - Process Skills

use appropriate technology to solve mathematical problems (GPS) (MAM2_A2009-1)

TECHNOLOGY LAB 6-5: Exploring Proportions in Triangles, TECHNOLOGY LAB 7-3: Exploring Trigonometric Ratios, TECHNOLOGY LAB 12-1: Families of Quadratic Functions, TECHNOLOGY LAB 12-9: Analyzing Residual Plots

build new mathematical knowledge through problem-solving (GPS) (MAM2_A2009-2)

Activity Labs provide students with opportunities to explore problem situations: ACTIVITY LAB 3-5: Paper-Folding Conjectures, ACTIVITY LAB 6-6: Exploring Dilations, ACTIVITY LAB 8-2: Circles and Radians, ACTIVITY LAB 9-1: Exploring the Circumference and Area of a Circle, ACTIVITY LAB 9-4: Finding Volume, ACTIVITY LAB 10-4: Operations With Rational and Irrational Numbers, ACTIVITY LAB 12-2: Rates of Increase, ACTIVITY LAB 13-7: Probability and Decision Making

solve problems that arise in mathematics and in other areas (GPS) (MAM2_A2009-3)

Activity Labs provide students with opportunities to explore problem situations in mathematics and other areas: ACTIVITY LAB 3-5: Paper-Folding Conjectures, ACTIVITY LAB 6-6: Exploring Dilations, ACTIVITY LAB 8-2: Circles and Radians, ACTIVITY LAB 9-1: Exploring the Circumference and Area of a Circle, ACTIVITY LAB 9-4: Finding Volume, ACTIVITY LAB 10-4: Operations With Rational and Irrational Numbers, ACTIVITY LAB 12-2: Rates of Increase, ACTIVITY LAB 13-7: Probability and Decision Making


Integrated Geometry

2


Integrated Geometry


Chapter-Lesson

apply and adapt a variety of appropriate strategies to solve problems (GPS) (MAM2_A2009-4)

Activity Labs provide students with opportunities to practice problem-solving strategies: ACTIVITY LAB 3-5: Paper-Folding Conjectures, ACTIVITY LAB 6-6: Exploring Dilations, ACTIVITY LAB 8-2: Circles and Radians, ACTIVITY LAB 9-1: Exploring the Circumference and Area of a Circle, ACTIVITY LAB 9-4: Finding Volume, ACTIVITY LAB 10-4: Operations With Rational and Irrational Numbers, ACTIVITY LAB 12-2: Rates of Increase, ACTIVITY LAB 13-7: Probability and Decision Making

monitor and reflect on the process of mathematical problem-solving (GPS) (MAM2_A2009-5)

Activity Labs provide students with opportunities to monitor and reflect on the process of mathematical problem-solving: ACTIVITY LAB 3-5: Paper-Folding Conjectures, ACTIVITY LAB 6-6: Exploring Dilations, ACTIVITY LAB 8-2: Circles and Radians, ACTIVITY LAB 9-1: Exploring the Circumference and Area of a Circle, ACTIVITY LAB 9-4: Finding Volume, ACTIVITY LAB 10-4: Operations With Rational and Irrational Numbers, ACTIVITY LAB 12-2: Rates of Increase, ACTIVITY LAB 13-7: Probability and Decision Making


Integrated Geometry

3


Integrated Geometry


Chapter-Lesson

recognize reasoning and proof (evidence) as fundamental aspects of mathematics (GPS) (MAM2_A2009-6)

1-2 Patterns and Inductive Reasoning, 1-5 Deductive Reasoning, 1-6 Reasoning in Algebra and Geometry, 1-7 Proving Angles Congruent, 2-3 Proving Lines Parallel, 3-2 Triangle Congruence by SSS and SAS, 3-3 Triangle Congruence by ASA and AAS, ACTIVITY LAB 3-5: Paper-Folding Conjectures, 3-6 Congruence in Right Triangles, 3-7 Congruence in Overlapping Triangles, 4-5 Indirect Proof, 5-3 Proving That a Quadrilateral Is a Parallelogram, 5-8 Proofs Using Coordinate Geometry, 6-3 Proving Triangles Similar

make and investigate mathematical conjectures (GPS) (MAM2_A2009-7)


investigate, develop, and evaluate mathematical arguments and proofs (GPS) (MAM2_A2009-8)



Integrated Geometry

4


Integrated Geometry


Chapter-Lesson

select and use various types of reasoning and methods of proof (GPS) (MAM2_A2009-9)


organize and consolidate mathematics thinking (GPS) (MAM2_A2009-10)

Activity Labs provide students with opportunities to organize and consolidate mathematics thinking: ACTIVITY LAB 3-5: Paper-Folding Conjectures, ACTIVITY LAB 6-6: Exploring Dilations, ACTIVITY LAB 8-2: Circles and Radians, ACTIVITY LAB 9-1: Exploring the Circumference and Area of a Circle, ACTIVITY LAB 9-4: Finding Volume, ACTIVITY LAB 10-4: Operations With Rational and Irrational Numbers, ACTIVITY LAB 12-2: Rates of Increase, ACTIVITY LAB 13-7: Probability and Decision Making

communicate mathematical thinking coherently to peers, teachers, and others (GPS) (MAM2_A2009-11)

Activity Labs provide students with opportunities to communicate mathematical thinking coherently to peers, teachers, and others: ACTIVITY LAB 3-5: Paper-Folding Conjectures, ACTIVITY LAB 6-6: Exploring Dilations, ACTIVITY LAB 8-2: Circles and Radians, ACTIVITY LAB 9-1: Exploring the Circumference and Area of a Circle, ACTIVITY LAB 9-4: Finding Volume, ACTIVITY LAB 10-4: Operations With Rational and Irrational Numbers, ACTIVITY LAB 12-2: Rates of Increase, ACTIVITY LAB 13-7: Probability and Decision Making


Integrated Geometry

5


Integrated Geometry


Chapter-Lesson

analyze and evaluate the mathematical thinking and strategies of others (GPS) (MAM2_A2009-12)

Activity Labs provide students with opportunities to analyze and evaluate the mathematical thinking and strategies of others: ACTIVITY LAB 3-5: Paper-Folding Conjectures, ACTIVITY LAB 6-6: Exploring Dilations, ACTIVITY LAB 8-2: Circles and Radians, ACTIVITY LAB 9-1: Exploring the Circumference and Area of a Circle, ACTIVITY LAB 9-4: Finding Volume, ACTIVITY LAB 10-4: Operations With Rational and Irrational Numbers, ACTIVITY LAB 12-2: Rates of Increase, ACTIVITY LAB 13-7: Probability and Decision Making

use the terminology and language of mathematics to express mathematical ideas precisely (GPS) (MAM2_A2009-13)

Activity Labs provide students with opportunities to use the terminology and language of mathematics to express mathematical ideas precisely: ACTIVITY LAB 3-5: Paper-Folding Conjectures, ACTIVITY LAB 6-6: Exploring Dilations, ACTIVITY LAB 8-2: Circles and Radians, ACTIVITY LAB 9-1: Exploring the Circumference and Area of a Circle, ACTIVITY LAB 9-4: Finding Volume, ACTIVITY LAB 10-4: Operations With Rational and Irrational Numbers, ACTIVITY LAB 12-2: Rates of Increase, ACTIVITY LAB 13-7: Probability and Decision Making

recognize and use connections among mathematical ideas (GPS) (MAM2_A2009-14)

Activity Labs provide students with opportunities to recognize and use connections among mathematical ideas: ACTIVITY LAB 3-5: Paper-Folding Conjectures, ACTIVITY LAB 6-6: Exploring Dilations, ACTIVITY LAB 8-2: Circles and Radians, ACTIVITY LAB 9-1: Exploring the Circumference and Area of a Circle, ACTIVITY LAB 9-4: Finding Volume, ACTIVITY LAB 10-4: Operations With Rational and Irrational Numbers, ACTIVITY LAB 12-2: Rates of Increase, ACTIVITY LAB 13-7: Probability and Decision Making


Integrated Geometry

6


Integrated Geometry


Chapter-Lesson

explain how mathematical ideas interconnect and build on one another to produce a coherent whole (GPS) (MAM2_A2009-15)

Students experience the connection between and the building upon mathematical ideas as they explore congruence of figures, prove triangles congruent, and use corresponding parts of congruent triangles to complete more complex proofs about figures composed of triangles and other composite shapes. Students explore right triangles and extend their geometric properties to develop concepts of trigonometry. Students calculate areas of figures and expand and apply these skills to explore properties of surface area and volume. Sample references: 3-1 Congruent Figures, 3-2 Triangle Congruence by SSS and SAS, 3-3 Triangle Congruence by ASA and AAS, 3-4 Using Corresponding Parts of Congruent Triangles, 3-6 Congruence in Right Triangles, 3-7 Congruence in Overlapping Triangles, 5-3 Proving That a Quadrilateral Is a Parallelogram, 5-5 Conditions for Rhombuses, Rectangles, and Squares

recognize and apply mathematics in contexts outside of mathematics (GPS) (MAM2_A2009-16)

5-7 Applying Coordinate Geometry, 7-4 Angles of Elevation and Depression, 12-9 Linear, Quadratic, and Exponential Models, 13-5 Probability Models, 13-7 Modeling Randomness, ACTIVITY LAB 13-7: Probability and Decision Making


Integrated Geometry

7


Integrated Geometry


Chapter-Lesson

create and use pictures, manipulatives, models, and symbols to organize, record, and communicate mathematical ideas (GPS) (MAM2_A2009-17)

Students use pictures, manipulatives, and models in lesson labs, activity labs, and technology labs: ACTIVITY LAB 3-5: Paper-Folding Conjectures, LESSON LAB 3-8: Review of Transformations, 5-7 Applying Coordinate Geometry, TECHNOLOGY LAB 6-5: Exploring Proportions in Triangles, ACTIVITY LAB 6-6: Exploring Dilations, TECHNOLOGY LAB 7-3: Exploring Trigonometric Ratios, 7-4 Angles of Elevation and Depression, ACTIVITY LAB 8-2: Circles and Radians, ACTIVITY LAB 9-1: Exploring the Circumference and Area of a Circle, ACTIVITY LAB 9-4: Finding Volume, ACTIVITY LAB 10-4: Operations With Rational and Irrational Numbers, TECHNOLOGY LAB 12-1: Families of Quadratic Functions, ACTIVITY LAB 12-2: Rates of Increase, LESSON LAB 12-4: Formulas With Quadratic Expressions, 12-9 Linear, Quadratic, and Exponential Models, TECHNOLOGY LAB 12-9: Analyzing Residual Plots, LESSON LAB 12-10: Quadratic Inequalities, 13-5 Probability Models, 13-7 Modeling Randomness, ACTIVITY LAB 13-7: Probability and Decision Making

select, apply, and translate among mathematical representations to solve problems (GPS) (MAM2_A2009-18)

12-1 Quadratic Graphs and Their Properties, TECHNOLOGY LAB 12-1: Families of Quadratic Functions, 12-3 Modeling With Quadratic Functions, 12-4 Solving Quadratic Equations, LESSON LAB 12-4: Formulas With Quadratic Expressions, 12-5 Factoring to Solve Quadratic Equations, 12-6 Completing the Square, 12-9 Linear, Quadratic, and Exponential Models, 12-11 A New Look at Parabolas, 12-12 Circles in the Coordinate Plane, 13-2 Probability Distributions and Frequency Tables, 13-5 Probability Models, 13-7 Modeling Randomness


Integrated Geometry

8


Integrated Geometry


Chapter-Lesson

use representations to model and interpret physical, social, and mathematical phenomena (GPS) (MAM2_A2009-19)

5-8 Proofs Using Coordinate Geometry, ACTIVITY LAB 6-6: Exploring Dilations, 6-6 Dilations, 7-4 Angles of Elevation and Depression, 12-1 Quadratic Graphs and Their Properties, TECHNOLOGY LAB 12-1: Families of Quadratic Functions, 12-3 Modeling With Quadratic Functions, 12-9 Linear, Quadratic, and Exponential Models, 12-11 A New Look at Parabolas, 12-12 Circles in the Coordinate Plane, 13-1 Experimental and Theoretical Probability, 13-2 Probability Distributions and Frequency Tables, 13-5 Probability Models, 13-7 Modeling Randomness

B - Numbers and Operations write square roots of negative numbers

in imaginary form (GPS) (MAM2_B2009-20)

12-8 Complex Numbers

write complex numbers in the form a + bi (GPS) (MAM2_B2009-21)


add, subtract, multiply, and divide complex numbers (GPS) (MAM2_B2009-22)


simplify expressions involving complex numbers (GPS) (MAM2_B2009-23)


C - Geometry identify and use special right triangles

(GPS) (MAM2_C2009-24) 7-2 Special Right Triangles

determine the lengths of sides of 30° - 60º - 90° triangles (GPS) (MAM2_C2009-25)

7-2 Special Right Triangles


Integrated Geometry

9


Integrated Geometry


Chapter-Lesson

determine the lengths of sides of 45° - 45° - 90° triangles (GPS) (MAM2_C2009-26)

7-2 Special Right Triangles

define and apply sine, cosine, and tangent ratios to right triangles (GPS) (MAM2_C2009-27)

TECHNOLOGY LAB 7-3: Exploring Trigonometric Ratios, 7-3 Trigonometry

explain the relationship of the trigonometric ratios for similar triangles (GPS) (MAM2_C2009-28)


explain the relationship between the trigonometric ratios of complementary angles (GPS) (MAM2_C2009-29)


solve application problems using the trigonometric ratios (GPS) (MAM2_C2009-30)

7-4 Angles of Elevation and Depression

apply properties of chords, tangents, and secants as an application of triangle similarity (GPS) (MAM2_C2009-31)

8-3 Tangent Lines, 8-4 Chords and Arcs

apply properties of central, inscribed, and related angles (GPS) (MAM2_C2009-32)

8-1 Circles and Arcs, 8-5 Inscribed Angles, 8-6 Angle Measures and Segment Lengths

use the properties of circles to solve problems involving the length of an arc and the area of a sector (GPS) (MAM2_C2009-33)

8-1 Circles and Arcs, 8-2 Areas of Circles and Sectors, ACTIVITY LAB 8-2: Circles and Radians

justify measurements and relationships in circles using geometric and algebraic properties (GPS) (MAM2_C2009-34)

8-1 Circles and Arcs, 8-2 Areas of Circles and Sectors, ACTIVITY LAB 8-2: Circles and Radians, 8-3 Tangent Lines, 8-4 Chords and Arcs, 8-5 Inscribed Angles, 8-6 Angle Measures and Segment Lengths, ACTIVITY LAB 9-1: Exploring the Circumference and Area of a Circle


Integrated Geometry

10


Integrated Geometry


Chapter-Lesson

use and apply surface area and volume of a sphere (GPS) (MAM2_C2009-35)

9-5 Surface Areas and Volumes of Spheres

determine the effect on surface area and volume of changing the radius or diameter of a sphere (GPS) (MAM2_C2009-36)

9-5 Surface Areas and Volumes of Spheres

E - Algebra investigate and explain characteristics of

the greatest integer function (GPS) (MAM2_E2009-37)

TECHNOLOGY LAB 12-1: Families of Quadratic Functions, 12-2 Quadratic Functions, 12-3 Modeling With Quadratic Functions, 12-9 Linear, Quadratic, and Exponential Models

write absolute value functions as piecewise functions (GPS) (MAM2_E2009-38)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Coordinate Algebra and not Analytic Geometry. 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 3-7 Graphing Absolute Value Functions, 5-9 Radical and Piecewise Functions of Coordinate Algebra. Also see Advanced Algebra: 2-5 Absolute Value Functions and Graphs, LESSON LAB 2-5: Piecewise Functions.


Integrated Geometry

11


Integrated Geometry


Chapter-Lesson

investigate and explain characteristics of a variety of piecewise functions including domain, range, vertex, axis of symmetry, zeros, intercepts, extrema, points of discontinuity, intervals over which the function is constant, intervals of increase and decrease, and rates of change (GPS) (MAM2_E2009-39)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Coordinate Algebra and not Analytic Geometry. 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 5-9 Radical and Piecewise Functions of Coordinate Algebra. Also see Advanced Algebra: LESSON LAB 2-5: Piecewise Functions.

solve absolute value equations and inequalities analytically, graphically, and by using appropriate technology (GPS) (MAM2_E2009-40)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Coordinate Algebra and not Analytic Geometry. 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 1-9 Absolute Value Equations and Inequalities of Coordinate Algebra.

generalize properties of exponents to include all integer exponents (GPS) (MAM2_E2009-41)

10-1 Multiplying Powers With the Same Base, 10-2 More Multiplication Properties of Exponents, 10-3 Division Properties of Exponents

investigate and explain characteristics of exponential functions, including domain and range, asymptotes, zeros, intercepts, intervals of increase and decrease, rates of change, and end behavior (GPS) (MAM2_E2009-42)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. This standard is outside the scope of the CCGPS and not covered in Analytic Geometry.

graph functions as transformations of f(x) = ax (GPS) (MAM2_E2009-43)

12-9 Linear, Quadratic, and Exponential Models, 12-10 Systems of Linear and Quadratic Equations


Integrated Geometry

12


Integrated Geometry


Chapter-Lesson

solve simple exponential equations and inequalities analytically, graphically, and by using appropriate technology (GPS) (MAM2_E2009-44)


use and explain basic exponential functions as models of real phenomena (GPS) (MAM2_E2009-45)

12-9 Linear, Quadratic, and Exponential Models

represent geometric sequences as exponential functions with domains that are whole numbers (GPS) (MAM2_E2009-46)


interpret the constant ratio in a geometric sequence as the base of the associated exponential function (GPS) (MAM2_E2009-47)


analyze quadratic functions in the forms f(x) = ax² + bx + c and f(x) = a(x-h)² + k (GPS) (MAM2_E2009-48)

12-1 Quadratic Graphs and Their Properties, TECHNOLOGY LAB 12-1: Families of Quadratic Functions, 12-2 Quadratic Functions, ACTIVITY LAB 12-2: Rates of Increase, 12-3 Modeling With Quadratic Functions, 12-9 Linear, Quadratic, and Exponential Models, 12-11 A New Look at Parabolas

convert between standard and vertex form (GPS) (MAM2_E2009-49)

12-1 Quadratic Graphs and Their Properties, TECHNOLOGY LAB 12-1: Families of Quadratic Functions, 12-2 Quadratic Functions, 12-11 A New Look at Parabolas

graph quadratic functions as transformations of the function f(x) = x² (GPS) (MAM2_E2009-50)

12-1 Quadratic Graphs and Their Properties, TECHNOLOGY LAB 12-1: Families of Quadratic Functions, 12-2 Quadratic Functions, 12-3 Modeling With Quadratic Functions, 12-9 Linear, Quadratic, and Exponential Models, 12-11 A New Look at Parabolas


Integrated Geometry

13


Integrated Geometry


Chapter-Lesson

investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, intercepts, extrema, intervals of increase and decrease, and rates of change (GPS) (MAM2_E2009-51)

12-1 Quadratic Graphs and Their Properties, TECHNOLOGY LAB 12-1: Families of Quadratic Functions, 12-2 Quadratic Functions, ACTIVITY LAB 12-2: Rates of Increase, 12-3 Modeling With Quadratic Functions, 12-9 Linear, Quadratic, and Exponential Models, 12-11 A New Look at Parabolas

investigate arithmetic series and explain various ways of computing their sums (GPS) (MAM2_E2009-52)


interpret sequences of partial sums of arithmetic series as examples of quadratic functions (GPS) (MAM2_E2009-53)


solve equations graphically using appropriate technology (GPS) (MAM2_E2009-54)

12-4 Solving Quadratic Equations

find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula (GPS) (MAM2_E2009-55)

12-4 Solving Quadratic Equations, LESSON LAB 12-4: Formulas With Quadratic Expressions, 12-5 Factoring to Solve Quadratic Equations, 12-6 Completing the Square, 12-7 The Quadratic Formula and the Discriminant, 12-8 Complex Numbers

analyze the nature of roots using technology and the discriminant (GPS) (MAM2_E2009-56)

12-7 The Quadratic Formula and the Discriminant

solve quadratic inequalities both graphically and algebraically and describe the solutions using linear inequalities (GPS) (MAM2_E2009-57)

LESSON LAB 12-10: Quadratic Inequalities


Integrated Geometry

14


Integrated Geometry


Chapter-Lesson

explain the characteristics of functions and their inverses, including one-to-oneness, domain, and range (GPS) (MAM2_E2009-58)

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 Analytic Geometry. 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 6-7 Inverse Relations and Functions, 7-3 Logarithmic Functions as Inverses of Advanced Algebra.

determine inverses of linear, quadratic, and power functions and functions of the form f(x) = a/x, including the use of restricted domains (GPS) (MAM2_E2009-59)


compare and contrast the graphs of functions and their inverses (GPS) (MAM2_E2009-60)



Integrated Geometry

15


Integrated Geometry


Chapter-Lesson

use composition to verify that functions are inverses of each other (GPS) (MAM2_E2009-61)


F - Data Analysis and Probability pose a question and collect sample data

from two or more different populations (GPS) (MAM2_F2009-62)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Coordinate Algebra and not Analytic Geometry. 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 6-1 Frequency and Histograms, 6-4 Scatter Plots and Trend Lines, 6-5 Two-Way Frequency Tables of Coordinate Algebra. Also see Advanced Algebra: 1-1 Analyzing Data, 1-3 Samples and Surveys, ACTIVITY LAB 1-4c: Drawing Conclusions From Samples.

calculate the means and standard deviations of sets of data (GPS) (MAM2_F2009-63)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Coordinate Algebra and not Analytic Geometry. 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 6-2 Measures of Central Tendency and Dispersion, ACTIVITY LAB 6-2a: Mean Absolute Deviation, LESSON LAB 6-2b: Standard Deviation of Coordinate Algebra. Also see Advanced Algebra: 1-1 Analyzing Data, 1-2 Standard Deviation, ACTIVITY LAB 1-4c: Drawing Conclusions From Samples.


Integrated Geometry

16


Integrated Geometry


Chapter-Lesson

use means and standard deviations to compare data sets (GPS) (MAM2_F2009-64)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Coordinate Algebra and not Analytic Geometry. 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 6-2 Measures of Central Tendency and Dispersion, ACTIVITY LAB 6-2a: Mean Absolute Deviation, LESSON LAB 6-2b: Standard Deviation of Coordinate Algebra. Also see Advanced Algebra: 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.

compare the means and standard deviations of random samples with the corresponding population parameters, including those population parameters for normal distributions (GPS) (MAM2_F2009-65)



Integrated Geometry

17


Integrated Geometry


Chapter-Lesson

explain why sample means vary from one sample to the next (GPS) (MAM2_F2009-66)

Pearson Georgia High School Mathematics was built for the Common Core Georgia Performance Standards. According to CCGPS, this standard is covered in Coordinate Algebra and not Analytic Geometry. 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 6-2 Measures of Central Tendency and Dispersion, ACTIVITY LAB 6-2a: Mean Absolute Deviation of Coordinate Algebra. Also see Advanced Algebra: 11-1 Analyzing Data, 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.

explain why the distribution of the sample means has less variability than the population distribution (GPS) (MAM2_F2009-67)



Integrated Geometry

18


Integrated Geometry


Chapter-Lesson

use population means and standard deviations to make informal inferences (GPS) (MAM2_F2009-68)


gather and plot data that can be modeled with linear and quadratic functions (GPS) (MAM2_F2009-69)

12-3 Modeling With Quadratic Functions, 12-9 Linear, Quadratic, and Exponential Models Also see Coordinate Algebra: 6-4 Scatter Plots and Trend Lines, ACTIVITY LAB 6-4: Residuals, and Advanced Algebra: LESSON LAB 3-2: Identifying Quadratic Data.

find good linear fits to data using simple methods such as the median-median line and “eyeballing” (GPS) (MAM2_F2009-70)

12-9 Linear, Quadratic, and Exponential Models Also see Coordinate Algebra: 6-4 Scatter Plots and Trend Lines, ACTIVITY LAB 6-4: Residuals.

apply the processes of linear and quadratic regression for curve fitting using appropriate technology (GPS) (MAM2_F2009-71)

12-3 Modeling With Quadratic Functions, 12-9 Linear, Quadratic, and Exponential Models Also see Coordinate Algebra: 6-4 Scatter Plots and Trend Lines, ACTIVITY LAB 6-4: Residuals and in Advanced Algebra: LESSON LAB 3-2: Identifying Quadratic Data, 4-9 Polynomial Models in the Real World, 7-1 Exploring Exponential Models, TECHNOLOGY LAB 7-5: Using Logarithms for Exponential Models, TECHNOLOGY LAB 8-7: Plotting and Analyzing Residuals.


Integrated Geometry

19


Integrated Geometry


Chapter-Lesson

investigate issues that arise when using data to explore the relationship between two variables, including confusion between correlation and causation (GPS) (MAM2_F2009-72)

12-3 Modeling With Quadratic Functions, 12-9 Linear, Quadratic, and Exponential Models Also see Coordinate Algebra: 6-4 Scatter Plots and Trend Lines, ACTIVITY LAB 6-4: Residuals and in Advanced Algebra:1-1 Analyzing Data, ACTIVITY LAB 1-4c: Drawing Conclusions From Samples, LESSON LAB 3-2: Identifying Quadratic Data, 4-9 Polynomial Models in the Real World, 7-1 Exploring Exponential Models, TECHNOLOGY LAB 7-5: Using Logarithms for Exponential Models, TECHNOLOGY LAB 8-7: Plotting and Analyzing Residuals.

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) (MAM2_G2009-73)

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

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