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Guides to Daily Intervention
Mathematics: Applications and Concepts Course 1 ©2004
Teacher's Guide to Using the Guide to Daily Intervention
Correlation to North Carolina Standard Course of Study Grade 6
Chapter 1 — Number Patterns and Algebra
Chapter 2 — Statistics and Graphs
Chapter 3 — Adding and Subtracting Decimals
Chapter 4 — Multiplying and Dividing Decimals
Chapter 5 — Fractions and Decimals
Chapter 6 — Adding and Subtracing Fractions
Chapter 7 — Multiplying and Dividing Fractions
Chapter 8 — Algebra: Integers
Chapter 9 — Algebra: Solving Equations
Chapter 10 — Ratio, Proportion, and Percent
Chapter 11 — Probability
Chapter 12 — Measurement
Chapter 13 — Geometry: Angles and Polygons
Chapter 14 — Geometry: Measuring Area and Volume

Mathematics: Applications and Concepts Course 2 ©2004
Teacher's Guide to Using the Guide to Daily Intervention
Correlation to North Carolina Standard Course of Study Grade 7
Chapter 1 — Decimal Patterns and Algebra
Chapter 2 — Statistics: Analyzing Data
Chapter 3 — Algebra: Integers
Chapter 4 — Algebra: Linear Equations and Functions
Chapter 5 — Fractions, Decimals, and Percents
Chapter 6 — Applying Fractions
Chapter 7 — Ratios and Proportions
Chapter 8 — Applying Percent
Chapter 9 — Probability
Chapter 10 — Geometry
Chapter 11 — Geometry: Measuring Two-Dimensional Figures
Chapter 12 — Geometry: Measuring Three-Dimensional Figures

Mathematics: Applications and Concepts Course 3 ©2004
Teacher's Guide to Using the Guide to Daily Intervention
Correlation to North Carolina Course of Study, Grade 8
Chapter 1 — Algebra: Integers
Chapter 2 — Algebra: Rational Numbers
Chapter 3 — Algebra: Real Numbers and the Pythagorean Theorem
Chapter 4 — Proportions, Algebra, and Geometry
Chapter 5 — Percent
Chapter 6 — Geometry
Chapter 7 — Geometry: Measuring Area and Volume
Chapter 8 — Probability
Chapter 9 — Statistics and Matrices
Chapter 10 — Algebra: More Equations and Inequalities
Chapter 11 — Algebra: Linear Functions
Chapter 12 — Algebra: Nonlinear Functions and Polynomials

Pre-Algebra ©2004
Teacher's Guide to Using the Guide to Daily Intervention
Correlation to North Carolina Course of Study, Grade 8
Chapter 1 — The Tools of Algebra
Chapter 2 — Integers
Chapter 3 — Equations
Chapter 4 — Factors and Fractions
Chapter 5 — Rational Numbers
Chapter 6 — Ratio, Proportion, and Percent
Chapter 7 — Equations and Inequalities
Chapter 8 — Functions and Graphing
Chapter 9 — Real Numbers and Right Triangles
Chapter 10 — Two-Dimensional Figures
Chapter 11 — Three-Dimensional Figures
Chapter 12 — More Statistics and Probability
Chapter 13 — Polynomials and Nonlinear Functions

Algebra 1 ©2004
North Carolina Guide to Daily Intervention
Teacher's Guide to Using the Guide to Daily Intervention
Daily Intervention for North Carolina Students and Teachers
North Carolina Algebra 1 Standard Course of Study Correlated to Glencoe Algebra 1
Chapter 1 — The Language of Algebra
Chapter 2 — Real Numbers
Chapter 3 — Solving Linear Equationss
Chapter 4 — Graphing Relations and Functions
Chapter 5 — Solving Systems of Linear Equations and Inequalities
Chapter 6 — Solving Linear Inequalities
Chapter 7 — Solving Systems of Linear Equations and Inequalities
Chapter 8 — Polynomials
Chapter 9 — Factoring
Chapter 10 — Quadratic and Exponential Functions
Chapter 11 — Radical Expressions and Triangles
Chapter 12 — Rational Expressions and Equations
Chapter 13 — Statistics
Chapter 14 — Probability

Algebra: Concepts and Applications ©2004
Teacher's Guide to Using the Guide to Daily Intervention
Correlation to North Carolina Course of Study, Algebra: Concepts & Applications
Chapter 1 — The Language of Algebra
Chapter 2 — Integers
Chapter 3 — Addition and Subtraction Equations
Chapter 4 — Multiplication and Division Equations
Chapter 5 — Proportional Reasoning and Probability
Chapter 6 — Functions and Graphs
Chapter 7 — Linear Equations
Chapter 8 — Powers and Roots
Chapter 9 — Polynomials
Chapter 10 — Factoring
Chapter 11 — Quadratic and Exponential Functions
Chapter 12 — Inequalities
Chapter 13 — Systems of Equations and Inequalities
Chapter 14 — Radical Expressions
Chapter 15 — Rational Expressions and Equations

Geometry ©2004
North Carolina Guide to Daily Intervention
Teacher’s Guide to Using the Guide to Daily Intervention
Daily Intervention for North Carolina Students and Teachers
North Carolina Geometry Standard Course of Study Correlated to Glencoe Geometry
Chapter 1 — Points, Lines, Planes, and Angles
Chapter 2 — Reasoning and Proof
Chapter 3 — Parallel and Perpendicular Lines
Chapter 4 — Congruent Triangles
Chapter 5 — Relationships in Triangles
Chapter 6 — Proportions and Similarity
Chapter 7 — Right Triangles and Trigonometry
Chapter 8 — Quadrilaterals
Chapter 9 — Transformations
Chapter 10 — Circles
Chapter 11 — Areas of Polygons and Circles
Chapter 12 — Surface Area
Chapter 13 — Volume

Geometry: Concepts and Applications ©2004
Teacher's Guide to Using the Guide to Daily Intervention
Correlation to North Carolina Course of Study, Geometry
Chapter 1 — Reasoning in Geometry
Chapter 2 — Segment Measure and Coordinate Graphing
Chapter 3 — Angles
Chapter 4 — Parallels
Chapter 5 — Triangles and Congruence
Chapter 6 — More About Triangles
Chapter 7 — Triangle Inequalities
Chapter 8 — Quadrilaterals
Chapter 9 — Proportions and Similarity
Chapter 10 — Polygons and Area
Chapter 11 — Circles
Chapter 12 — Surface Area and Volume
Chapter 13 — Right Triangles and Trigonometry

Algebra 2 ©2004
North Carolina Guide to Daily Intervention
Teacher's Guide to Using the Guide to Daily Intervention
Daily Intervention for North Carolina Students and Teachers
North Carolina Algebra 1 Standard Course of Study Correlated to Glencoe Algebra 2
Chapter 1 — Solving Equations and Inequalities
Chapter 2 — Linear Relations and Functions
Chapter 3 — Systems of Equations and Inequalities
Chapter 4 — Matrices
Chapter 5 — Polynomial and Radical Equations and Inequalities
Chapter 6 — Quadratic Functions and Inequalities
Chapter 7 — Polynomial Functions
Chapter 8 — Conic Sections
Chapter 9 — Rational Expressions and Equations
Chapter 10 — Exponential and Logarithmic Relations
Chapter 11 — Sequences and Series
Chapter 12 — Probability and Statistics
Chapter 13 — Trigonometric Functions
Chapter 14 — Trigonometric Graphs and Identities

Lesson Plans
Mathematics: Applications and Connections Course 1 ©1999
NCTM Standards
Correlation to North Carolina Standard Course of Study
Chapter 1 — Problem Solving, Numbers, and Algebra
Chapter 2 — Statistics: Graphing Data
Chapter 3 — Adding and Subtracting Decimals
Chapter 4 — Multiplying and Dividing Decimals
Chapter 5 — Using Number Patterns, Fractions, and Ratios
Chapter 6 — Adding and Subtracing Fractions
Chapter 7 — Multiplying and Dividing Fractions
Chapter 8 — Exploring Ratio, Proportion, and Percent
Chapter 9 — Geometry: Investigating Patterns
Chapter 10 — Geometry: Understanding Area and Volume
Chapter 11 — Algebra: Investigating Integers
Chapter 12 — Algebra: Exploring Equations
Chapter 13 — Using Probability

Mathematics: Applications and Connections Course 2 ©1999
NCTM Standards
Correlation to North Carolina Standard Course of Study
Chapter 1 — Problem Solving, Algebra, and Geometry
Chapter 2 — Applying Decimals
Chapter 3 — Statistics: Analyzing Data
Chapter 4 — Using Number Patterns, Fractions, and Percents
Chapter 5 — Algebra: Using Data
Chapter 6 — Algebra: Exploring Equations and Functions
Chapter 7 — Applying Fractions
Chapter 8 — Using Proportional Reasoning
Chapter 9 — Geometry: Investigating Patterns
Chapter 10 — Geometry: Exploring Area
Chapter 11 — Applying Percents
Chapter 12 — Geometry: Finding Volume and Surface Area
Chapter 13 — Exploring Discrete Math and Probability

Mathematics: Applications and Connections Course 3 ©1999
NCTM Standards
Correlation to North Carolina Standard Course of Study
Chapter 1 — Problem Solving and Algebra
Chapter 2 — Algebra: Using Integers
Chapter 3 — Using Proportion and Percent
Chapter 4 — Statistics: Analyzing Data
Chapter 5 — Geometry: Investigating Patterns
Chapter 6 — Exploring Number Patterns
Chapter 7 — Algebra: Using Rational Numbers
Chapter 8 — Applying Proportional Reasoning
Chapter 9 — Algebra: Exploring Real Numbers
Chapter 10 — Algebra: Graphing Functions
Chapter 11 — Geometry: Using Area and Volume
Chapter 12 — Investigating Discrete Math and Probability
Chapter 13 — Algebra: Exploring Polynomials

Pre-Algebra ©1999
NCTM Standards
Correlation of Objectives to Lessons
Chapter 1 — Tools for Algebra and Geometry
Chapter 2 — Exploring Integers
Chapter 3 — Solving One-Step Equations and Inequalities
Chapter 4 — Exploring Factors and Fractions
Chapter 5 — Rationals: Patterns in Addition and Subtraction
Chapter 6 — Rationals: Patterns in Multiplication and Division
Chapter 7 — Solving Equations and Inequalities
Chapter 8 — Functions and Graphing
Chapter 9 — Ratio, Proportions, and Percent
Chapter 10 — More Statistics and Probability
Chapter 11 — Applying Algebra to Geometry
Chapter 12 — Measuring Area and Volume
Chapter 13 — Applying Algebra to Right Triangles
Chapter 14 — Polynomials

Algebra 1 ©1999
NCTM Standards
Correlation of North Carolina Objectives to Lessons
Chapter 1 — Exploring Expressions, Equations, and Functions
Chapter 2 — Exploring Rational Numbers
Chapter 3 — Solving Linear Equations
Chapter 4 — Using Proportional Reasoning
Chapter 5 — Graphing Relations and Functions
Chapter 6 — Analyzing Linear Equations
Chapter 7 — Solving Linear Inequalities
Chapter 8 — Solving Systems of Linear Equations and Inequalities
Chapter 9 — Exploring Polynomials
Chapter 10 — Using Factoring
Chapter 11 — Exploring Quadratic and Exponential Functions
Chapter 12 — Exploring Rational Expressions and Equations
Chapter 13 — Exploring Radical Expressions and Equations

Algebra 1 Volume 1 ©1999
Why Algebra in Two Years?
Overall Pacing Guide
Correlation of North Carolina Objectives to Lessons
Chapter 1 — Exploring Expressions, Equations, and Functions
Chapter 2 — Exploring Rational Numbers
Chapter 3 — Solving Linear Equations
Chapter 4 — Using Proportional Reasoning
Chapter 5 — Graphing Relations and Functions
Chapter 6 — Analyzing Linear Equations

Algebra 1 Volume 2 ©1999
Why Algebra in Two Years?
Overall Pacing Guide
Correlation of North Carolina Objectives to Lessons
Chapter 1 — Review Lesson
Chapter 2 — Review Lesson
Chapter 3 — Review Lesson
Chapter 4 — Review Lesson
Chapter 5 — Review Lesson
Chapter 6 — Review Lesson
Chapter 7 — Review Lesson
Chapter 8 — Solving Systems of Linear Equations and Inequalities
Chapter 9 — Exploring Polynomials
Chapter 10 — Using Factoring
Chapter 11 — Exploring Quadratic and Exponential Functions
Chapter 12 — Exploring Rational Expressions and Equations
Chapter 13 — Exploring Radical Expressions and Equations

Algebra 2 ©1999
NCTM Curriculum Standards
Correlation of North Carolina Objectives to Lessons
Chapter 1 — Analyzing Equations and Inequalities
Chapter 2 — Graphing Linear Relations and Functions
Chapter 3 — Solving Systems of Linear Equations and Inequalities
Chapter 4 — Using Matrices
Chapter 5 — Exploring Polynomials and Radical Expressions
Chapter 6 — Exploring Quadratic Functions and Inequalities
Chapter 7 — Analyzing Conic Sections
Chapter 8 — Exploring Polynomial Functions
Chapter 9 — Exploring Rational Expressions
Chapter 10 — Exploring Exponential and Logarithmic Functions
Chapter 11 — Investigating Sequences and Series
Chapter 12 — Investigating Discrete Mathematics and Probability
Chapter 13 — Exploring Trigonometric Functions
Chapter 14 — Using Trigonometric Graphs and Identities

Geometry ©1999
NCTM Standards
Correlation of North Carolina Objectives to Lessons
Chapter 1 — Discovering Points, Lines, Planes, and Angles
Chapter 2 — Connecting Reasoning and Proof
Chapter 3 — Using Perpendicular and Parallel Lines
Chapter 4 — Identifying Congruent Triangles
Chapter 5 — Applying Congruent Triangles
Chapter 6 — Exploring Quadrilaterals
Chapter 7 — Connecting Proportion and Similarity
Chapter 8 — Applying Right Triangles and Trigonometry
Chapter 9 — Analyzing Circles
Chapter 10 — Exploring Polygons and Area
Chapter 11 — Investigating Surface Area and Volume
Chapter 12 — Continuing Coordinate Geometry
Chapter 13 — Investigating Loci and Coordinate Transformations

Advanced Mathematical Concepts ©1999
NCTM Standards
Correlation of North Carolina State Objectives to Lessons
Chapter 1 — Linear Relations and Functions
Chapter 2 — Systems of Equations and Inequalities
Chapter 3 — The Nature of Graphs
Chapter 4 — Polynomial and Rational Functions
Chapter 5 — The Trigonometric Functions
Chapter 6 — Graphs and Inverses of the Trigonometric Functions
Chapter 7 — Trigonometric Identities and Equations
Chapter 8 — Vectors and Parametric Equations
Chapter 9 — Polar Coordinates and Complex Numbers
Chapter 10 — Conics
Chapter 11 — Exponential and Logarithmic Functions
Chapter 12 — Sequences and Series
Chapter 13 — Iteration and Fractals
Chapter 14 — Combinatorics and Probability
Chapter 15 — Statistics and Data Analysis
Chapter 16 — Graph Theory
Chapter 17 — Limits, Derivatives, and Integrals


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