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Georgia Mathematics 1Text Alignment to Georgia Standards
Chapter # Chapter / Section Title Georgia Standard
1st SEMESTER
GEORGIA PERFORMANCE STANDARDS UNIT 1 AND UNIT 2 (ALGEBRA)
Chapter 1 Linear Functions, Equations, and Inequalities
1.1 Introduction to Linear Functions MM1A1b
1.2 Solving Linear Equations and Linear
Inequalities in One Variable MM1P1, P3, P4, P5
1.3 Slope Intercept Form of Linear Functions MM1A1b
1.4 General Form of Linear Functions MM1P1, P3, P4, P5
1.5 Parent Functions and Linear Transformations MM1A1b
MM1A1c
1.6 Finding the Equations of Linear Functions MM1P1, P3, P4, P5
1.7 Absolute Value in Equations and Inequalities MM1A1b
in One and Two Variables MM1A1d
MM1A1e
1.8 Functional Notation, Inverses, and Piecewise MM1A1a (and throughout)
Functions
1.9 Arithmetic Sequences MM1A1f
Chapter 2 Polynomial Expressions
2.1 Adding and Subtracting Polynomials MM1A2c
2.2 Multiplying and Dividing Polynomials MM1A2c
MM1A2g
2.3 Multiplying Binomials MM1A2c
2.4 Factoring Polynomials MM1A2f
Chapter 3 Quadratic Functions
3.1 Introduction to Quadratic Functions MM1A1b
3.2 Parabolas MM1A1b
MM1A1d
MM1A1e
3.3 Comparing Linear and Quadratic Functions MM1A1b
MM1A1g
3.4 Square Roots and Radicals MM1A2a
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Chapter # Chapter / Section Title Georgia Standard
3.5 Solving by Factoring and Extracting MM1A3a
Square Roots MM1A3c
3.6 Using the Quadratic Formula to Solve
Quadratic Equations MM1A3c
3.7 Using a Vertical Motion Model MM1A1b
MM1A1d
MM1A1e
MM1A1i
3.8 Using Quadratic Functions MM1A1b
Chapter 4 Polynomial Functions
4.1 Introduction to Polynomial Functions MM1A1b
MM1A1d
4.2 Solving Polynomial Equations and Inequalities:
Factoring MM1P1, P3, P4, P5
4.3 Solving Polynomial Equations and Inequalities: MM1A1b
Graphing MM1A1i
4.4 Extrema and End Behavior MM1A1b
MM1A1d
MM1A1e
MM1A1h
GEORGIA PERFORMANCE STANDARDS UNIT 3 (GEOMETRY)
Chapter 5 Parallel Lines and Triangles
5.1 Transversals and Parallel Lines MM1P1, P3, P4, P5
5.2 Introduction to Proofs MM1G2a
5.3 Parallel Lines and Proofs MM1G2a
5.4 The Triangle Inequality MM1G3b
5.5 Angle and Line Segment Bisectors MM1P1, P3, P4, P5
5.6 Points of Concurrency in Triangles MM1G3e
Chapter 6 Similarity
6.1 Ratio and Proportion MM1P1, P3, P4, P5
6.2 Similar and Congruent Figures MM1P1, P3, P4, P5
6.3 Similar Triangles MM1G2a
6.4 Indirect Measurement MM1P1, P3, P4, P5
6.5 Similar Solids MM1P1, P3, P4, P5
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Chapter # Chapter / Section Title Georgia Standard
Chapter 7 Congruence
7.1 Introduction to Congruence MM1G3c
7.2 Proving Triangles Congruent: SSS and SAS MM1G3c
MM1G2a
7.3 Proving Triangles Congruent: ASA and AAS MM1G3c
MM1G2a
7.4 Proving Triangles Congruent: HL MM1G3c
MM1G2a
7.5 Fractals MM1G3c
Chapter 8 Quadrilaterals
8.1 Introduction to Quadrilaterals MM1G3d
8.2 Kites and Trapezoids MM1G3d
8.3 Parallelograms and Rhombi MM1G3d
8.4 Rectangles and Squares MM1G3d
8.5 Sum of the Interior Angle Measures in a Polygon MM1G3a
8.6 Sum of the Exterior Angle Measures in a Polygon MM1G3a
2nd SEMESTER
GEORGIA PERFORMANCE STANDARDS UNIT 4 (PROBABILITY)
Chapter 9 Counting Methods and Probability
9.1 Simple Probability and Sample Spaces MM1P1, P3, P4, P5
9.2 Compound Probability MM1D2a
MM1D2b
MM1D2c
9.3 Permutations and Combinations MM1D1a
MM1D1b
9.4 Pascal’s Triangle and the Binomial Theorem MM1A1d
9.5 Experimental Probability MM1D2d
Chapter 10 Statistical Analysis
10.1 Measures of Central Tendency MM1D3a
MM1D3b
10.2 Collecting and Analyzing Data MM1D3a
MM1D3c
10.3 Quartiles and Box-and-Whisker Plots MM1D3a
10.4 Sample Variance and Standard Deviation MM1D4
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Chapter # Chapter / Section Title Georgia Standard
GEORGIA PERFORMANCE STANDARDS UNIT 5 (ALGEBRA)
Chapter 11 Rational Equations and Functions
11.1 Introduction to Rational Functions MM1P1, P3, P4, P5
11.2 Simplifying, Adding, and Subtracting MM1A2e
of Rational Expressions
11.3 Multiplying and Dividing of Rational MM1A2e
Expressions
11.4 Solving Rational Equations and Inequalities MM1A3d
11.5 Graphing Rational Functions and MM1A1b
Discontinuities MM1A1d
MM1A1e
11.6 Work and Mixture Problems MM1A3d
Chapter 12 Radical Equations and Functions
12.1 Introduction to Radicals MM1P1, P3, P4, P5
12.2 Simplifying Radical Expressions MM1A2a
MM1A2b
12.3 Solving Radical Equations MM1A3b
12.4 Graphing Radical Functions MM1A1b
MM1A1d
MM1A1e
GEORGIA PERFORMANCE STANDARDS UNIT 6 (GEOMETRY)
Chapter 13 Coordinate Geometry
13.1 The Distance Formula MM1G1a
MM1G1d
13.2 The Midpoint Formula MM1G1c
13.3 Parallel and Perpendicular Lines in the
Coordinate Plane MM1P1, P3, P4, P5
13.4 Exploring Triangles in the Coordinate Plane MM1G1c
MM1G1e
13.5 Rectangles and Parallelograms in the MM1G1a
Coordinate Plane MM1G1e
MM1G3d
Georgia Mathematics I Standards covered in Supplemental Software:
• MM1G2b – Understand and use the relationships among a statement and its converse, inverse, and
contrapositive
• MM1G1b – Determine the distance between a point and a line
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Georgia Mathematics 2
Text Alignment to Georgia Standards
Unit Chapter Section Title Standard(s)
1
0
Functions, Relations, & Inverses
1 Functions and Relations
2 Evaluating Functions: Functional Notation, Domain and Range
3 Linear Functions
4 Inverses of Linear Functions
1
Quadratic Functions
1 Introduction
2 Parabolas
3 Increase, Decrease, and Rates of Change
4 Roots and Zeros
5 Vertex
6 Vertex Form of Equation
7 Graphing and Transformations
2
Quadratic Formula, Equations, and Inequalities
1 Proof of Quadratic Formula
2 Calculating roots and Zeros
3 Discriminant
4 Complex Numbers
5 Complex Roots and Zeros
6 Quadratic Inequalities
7 Arithmetic Sequences and Partial Sums
8 Modeling Partial Sums
2
3
Right Triangles
1 Pythagorean Theorem
2 Distance and Midpoint Formulas
3 Special Triangles
4 Properties of Special Triangles
4
Trigonometric Ratios
1 Similar and Congruent Polygons
2 Tangent Ratio
3 Sine Ratio
4 Cosine Ratio
5 Angles of Elevation and Depression
3 5
Circles
1 Introduction
2 Central and Inscribed Angles and Intercepted Arcs
3 Angles Inside and Outside of Circles
4 Chords and Circles
5 Tangents and Circles
6 Arc Length
7 Areas of Parts of Circles
8 Circle Measurements and Relationships
6
Spheres
1 Properties of Spheres
2 Volume of a Sphere
3 Surface Area of a Sphere
4 Applications
4 7
Data Analysis
1 Variance
2 Effect of Sample Size
3 Sampling Techniques
4 Bias and Experiment Design
5 Experimental Analysis
5
8
Exponential Functions
1 Integral Exponents
2 Domain, Range, Intercepts
3 Increase, Decrease, Asymptotes, End Behavior
4 Transformations
5 Solving Exponential Equations
9
Exponential Modeling
1 Growth, Decay, and Interest
2 Geometric Sequences and Partial Sums
3 Geometric Sequences and Series as Exponential Functions
4 Modeling with Exponential Functions
10
Other Functions and Inverses
1 Absolute Value as Piecewise
2 Graphs of Absolute Value Functions
3 Properties of Piecewise Functions
4 Solving Absolute Value Equations and Inequalities
5 Power Functions and Inverses
6 Inverses
6
11
Modeling with Linear Functions
1 Drawing Line of Best Fit
2 Performing an Experiment
3 Median-Median Line of Best Fit
4 Least Squares
5 Regression Equation Via Technology
6
7 Causation versus Correlation
12
Mathematical Modeling
1 Modeling with Quadratic Functions
2 & 3 Using Functions to Model Data
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Georgia Mathematics 3Text Alignment to Georgia Standards
Chapter # Chapter / Section Title Georgia Standard
Chapter 1 Matrix Operations and Equations
1.1 Introduction to Matrices and Matrix Operations MM3A4a
MM3A4c
1.2 Matrix Multiplication MM3A4a
1.3 Number Properties and Matrices MM3A4b
MM3A4c
1.4 Multiplicative Inverses MM3A4b
MM3A4c
1.5 Matrix Equations MM3A5a
MM3A5b
MM3A5c
1.6 Determinants MM3A4a
Chapter 2 Matrices and Applications
2.1 Matrices and Problem Solving MM3A6a
MM3A6b
2.2 Introduction to Linear Programming MM3A6a
MM3A6b
2.3 Linear Programming and Problem Solving MM3A6a
MM3A6b
2.4 Vertex-Edge Graphs, Part I MM3A7a
MM3A7b
2.5 Vertex-Edge Graphs, Part II MM3A7a
MM3A7b
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20 ● Alignment to the Georgia Performance Standards Georgia Mathematics 3
Chapter # Chapter / Section Title Georgia Standard
Chapter 3 Power Functions and Polynomial Functions
3.1 Power Functions MM3A1a
3.2 Polynomial Functions MM3A1a
3.3 Graphs of Polynomial Functions MM3A1a
3.4 Symmetry MM3A1c
3.5 Zeros and Multiplicity MM3A1b
MM3A1d
3.6 Extrema, Domain & Range, and End Behavior MM3A1b
MM3A1d
3.7 Graphs and Properties of Polynomial Functions MM3A1a
MM3A1b
MM3A1c
MM3A1d
Chapter 4 Polynomial Functions and Data Modeling
4.1 Polynomial Function Operations and
Composition MM3A1
4.2 Piecewise Polynomial Functions MM3A1d
4.3 Polynomial Functions and Data, Part I MM3A1d
4.4 Polynomial Functions and Data, Part II MM3A1d
Chapter 5 Three-Dimensional Coordinates
5.1 Point Plotting in Three Dimensions MM3G3a
5.2 Equations of Planes MM3G3b
5.3 Distance in Three Dimensions MM3G3b
5.4 Models and Volume MM3A1a
MM3A1b
MM3A1c
MM3A1d
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Chapter # Chapter / Section Title Georgia Standard
Chapter 6 Exponential Functions
6.1 Inverses of Functions REVIEW
6.2 Rational Exponents, Part I MM3A2a
MM3A2b
6.3 Rational Exponents, Part II MM3A2a
MM3A2b
6.4 Graphs of Exponential Functions MM3A2e
6.5 Transformations of Exponential Functions MM3A2f
6.6 Exponential Functions and Problem Solving,
Part I MM3A2g
6.7 Exponential Functions and Problem Solving,
Part II MM3A2g
Chapter 7 Logarithmic Functions
7.1 Logarithmic Functions as Inverses MM3A2c
MM3A2e
7.2 Exponential and Logarithmic Forms MM3A2c
7.3 Graphs of Logarithmic Functions MM3A2e
7.4 Transformations of Logarithmic Functions MM3A2f
Chapter 8 Exponential and Logarithmic Functions
8.1 Exponential and Logarithmic Equations, Part I MM3A2c
MM3A2g
8.2 Exponential and Logarithmic Equations, Part II MM3A2c
MM3A2g
8.3 Exponential and Logarithmic Problem Solving,
Part I MM3A2g
8.4 Exponential and Logarithmic Problem Solving,
Part II MM3A2g
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Chapter # Chapter / Section Title Georgia Standard
Chapter 9 Exponential and Logarithmic Equations
9.1 Properties of Logarithms MM3A2d
9.2 Exponential and Logarithmic Equations MM3A3b
MM3A3c
MM3A3d
9.3 Exponential Functions and Data MM3A3b
MM3A3c
MM3A3d
9.4 Exponential and Logarithmic Problem Solving MM3A3b
MM3A3c
MM3A3d
Chapter 10 Polynomial Equations
10.1 Polynomial Equation Solving by Factoring MM3A3
10.2 Polynomial Inequality Solving by Factoring MM3A3
10.3 The Fundamental Theorem of Algebra MM3A3
10.4 Synthetic Division MM3A3
10.5 The Remainder Theorem MM3A3
10.6 The Factor Theorem MM3A3
10.7 Polynomial Equations, Part I MM3A3
10.8 Polynomial Equations, Part II MM3A3
Chapter 11 Introduction to Conics and Circles
11.1 Conics as Cross Sections MM3G2b
11.2 Equations of Conic Sections MM3G2b
11.3 Circles MM3G1a
MM3G1b
11.4 Intersections of Circles and Lines MM3G1d
11.5 Tangent Lines MM3G1c
11.6 Intersections of Two Circles MM3G1e
11.7 Circles and Problem Solving MM3G1
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Supplemental
Software
Chapter # Chapter / Section Title Georgia Standard
Chapter 12 Ellipses
12.1 Ellipses Centered at the Origin MM3G2a
MM3G2b
MM3G2c
12.2 Ellipses not Centered at the Origin MM3G2a
MM3G2b
MM3G2c
12.3 Forms of Ellipses MM3G2a
MM3G2b
MM3G2c
12.4 Ellipses and Problem Solving MM3G2a
MM3G2b
MM3G2c
Chapter 13 Hyperbolas
13.1 Hyperbolas Centered at the Origin MM3G2a
MM3G2b
MM3G2c
13.2 Hyperbolas not Centered at the Origin MM3G2a
MM3G2b
MM3G2c
13.3 Forms of Hyperbolas MM3G2a
MM3G2b
MM3G2c
13.4 Hyperbolas and Problem Solving MM3G2a
MM3G2b
MM3G2c
Chapter 14 Parabolas
14.1 Parabolas Centered at the Origin MM3G2a
MM3G2b
MM3G2c
14.2 Parabolas not Centered at the Origin MM3G2a
MM3G2b
MM3G2c
14.3 Forms of Parabolas MM3G2a
MM3G2b
MM3G2c
14.4 Parabolas and Problem Solving MM3G2a
MM3G2b
MM3G2c
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Chapter # Chapter / Section Title Georgia Standard
Chapter 15 Conics and Problem Solving
15.1 Forms of Conics MM3G2a
MM3G2b
MM3G2c
15.2 Applications of Conics, Part I MM3G2a
MM3G2b
MM3G2c
15.3 Applications of Conics, Part II MM3G2a
MM3G2b
MM3G2c
15.4 Spheres and Planes MM3G3c
Chapter 16 Distributions of Discrete Data
16.1 Sampling Methods and Bias MM3D3
16.2 Observational Studies and Experiments MM3D3
16.3 Study Design MM3D3
16.4 Probability Histograms MM3D1
16.5 Binomial Distributions MM3D1
16.6 Reports of Studies MM3D3
Chapter 17 Distributions of Continuous Data
17.1 Normal Distributions MM3D2
17.2 Mean and Standard Deviation MM3D2
17.3 Introduction to z-scores MM3D2
17.4 More with z-scores MM3D2
17.5 Distributions and Problem Solving MM3D2
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