Mathematics Curriculum in Brief (Common Core)

This is a broad outline of topics according to US Common Core. There are many subtopics which
are not included in this list. We customize the topics according to State curriculum.

Grade 1

Ch 1 Patterns and Number Sense
Ch 2 Understanding Addition
Ch 3 Understanding Subtraction
Ch 4 Data and Graphs
Ch 5 Addition Strategies
Ch 6 Subtraction strategies
Ch 7 Time
Ch 8 Numbers 1 to 100
Ch 9 Measurement
Ch 10 Money
Ch 11 Geometry
Ch 12 Place Value
Ch 13 Two digit Addition and Subtraction

Grade 2

Ch 1 Number Sense and Patterns
Ch 2 Addition Strategies
Ch 3 Subtraction Strategies

Ch 4 Data and Graphs
Ch 5 Two-digit Addition
Ch 6 Two-digit Subtraction
Ch 7 Money
Ch 8 Multiplication and Division Concepts
Ch 9 Fractions
Ch 10 Numbers 1 to 1000
Ch 11 Solid Shapes
Ch 12 Measurement and Time
Ch 13 Three-digit Addition
Ch 14 Three-digit Subtraction

Grade 3

Ch 1 Place Value and Number Sense
Ch 2 Addition
Ch 3 Subtraction
Ch 4 Multiplication Concepts and Facts
Ch 5 More Multiplication Facts
Ch 6 Division concepts and facts
Ch 7 More Division concepts
Ch 8 Measurement: Customary System
Ch 9 Measurement: Metric System
Ch 10 Measurement and Geometry
Ch 11 Statistics; Data, Graphs and Probability
Ch 12 Fractions
Ch 13 Fractions and Decimals
Ch 14 Multiply by one-digit Numbers

Ch 15 Multiply by two-digit numbers

Grade 4

Ch 1 Place Value and Number Sense
Ch 2 Addition and Subtraction
Ch 3 Algebra: Use Addition and Subtraction
Ch 4 Statistics Data and Graphs
Ch 5 Multiplication and Division Facts
Ch 6 Algebra: Use Multiplication and Division
Ch 7 Multiply by One-digit Numbers
Ch 8 Multiply by Two-digit Numbers
Ch 9 Divide by One-digit Numbers
Ch 10 Geometry and Measurement
Ch 11 Algebra and Graphing
Ch 12 Fractions
Ch 13 Decimals: Addition and Subtraction
Ch 14 Probability

Grade 5

Ch 1 Number Sense
Ch 2 Statistics and Data Analysis
Ch 3 Adding and subtracting decimals
Ch 4 Fractions and Decimals
Ch 5 Adding and Subtracting Fractions
Ch 6 Multiplying and Dividing Decimals and Fractions
Ch 7 Algebra; Integers and Equations
Ch 8 Algebra; Ratios and Functions
Ch 9 Percent

Ch 10 Geometry; Angles and Polygons
Ch 11 Measurement: Perimeter, Area and Volume

Grade 6

Ch 1 Introduction to Algebra and Functions
Ch 2 Integers: Positive and Negative Numbers
Ch 3 Algebra; Linear Equations, Inequalities and Functions
Ch 4 Fractions, Decimals and Percents
Ch 5 Applying Fractions
Ch 6 Rates, Ratios and Proportions
Ch 7 Applying Percents
Ch 8 Statistics; Analysing Data
Ch 9 Probability
Ch 10 Geometry: Area of Polygons, Circumference and Area of Circle
Ch 11 Measurement: Two and Three Dimensional Figures, Surface Area and Volume
Ch 12 The Coordinate Plane
Ch 13 Measures of Central Tendency

Grade 7

Ch 1 Algebra Integers
Ch 2 Algebra; Rational Numbers
Ch 3 Real numbers and Pythagorean Theorm
Ch 4 Proportions and Similarity
Ch 5 Percent
Ch 6 Geometry and Spatial Reasoning
Ch 7 Measurement; Area and Volume
Ch 8 Algebra; Equations and Inequalities

Ch 9 Algebra; Linear Functions
Ch 10 Algebra Non-linear Functions and Polynomials
Ch 11 Direct and Inverse Proportion
Ch 12 Statistics
Ch 13 Probability

Grade 8

Ch 1 Working with Real numbers, Exponents and Scientific Notation
Ch 2 Single Variable Linear Equations
Ch 3 linear equations and their Graphs
Ch 4 System of Equations
Ch 5 Manipulating Polynomials
Ch 6 quadratic Equations and their Applications
Ch 7 Rational Expressions and Functions
Ch 8 The Pythagorean Theorm
Ch 9 Geometric Transformations
Ch 10 Congruence and Similarity
Ch 11 Statistics
Ch 12 Probability

Algebra 1

Ch 1 Expressions, Equations and Functions
Ch 2 Linear Equations
Ch 3 Linear Functions
Ch 4 Equations of Linear Functions
Ch 5 Linear Inequalities
Ch 6 Systems of Linear Equations and Inequalities

Ch 7 Exponents and Exponential Functions
Ch 8 Quadratic Expressions and Equations
Ch 9 Quadratic Functions and Equations
Ch 10 Radical Functions and Trigonometry
Ch 11 Rational Functions and Equations
Ch 12 Statistics and Probability

Geometry

Ch 1 Tools of Geometry
Ch 2 Reasoning and Proof
Ch 3 Parallel and Perpendicular Lines
Ch 4 Congruent Triangles
Ch 5 Relationships in Triangles
Ch 6 Quadilaterals
Ch 7 Proportions and Similarity
Ch 8 Right Triangles and Trigonometry
Ch 9 Transformations and Symmetry
Ch 10 Circles
Ch 11 Area of Polygons and Circles
Ch 12 Extending Surface Area and Volume
Ch 13 Probability and Measurement

Algebra 2

Ch 1 Equations and Inequalities
Ch 2 Linear Relations and Functions
Ch 3 Systems of Equations and Inequalities
Ch 4 Quadratic Functions and Relations

Ch 5 Polynomials and Polynomial Functions
Ch 6 Inverses and Radical Functions and Relations
Ch 7 Exponential and Logarithmic Functions and Relations
Ch 8 Rational Functions and Relations
Ch 9 Conic Sections
Ch 10 Sequences and Series
Ch 11 Statistics and Probability
Ch 12 Trigonometric Functions
Ch 13 Trignometric Identities and Equations

Precalculus

Ch 1 Relations, Functions and Graphs
Ch 2 Systems of Linear Equations and Linear Inequalities
Ch 3 The Nature of Graphs
Ch 4 Polynomial and Rational Functions
Ch 5 The Trigonometric Functions
Ch 6 Graphs of Trigonometric Functions
Ch 7 Trigonometric Identities and Equations
Ch 8 Vectors and Parametric equations
Ch 9 Polar Coordinates and Complex Numbers
Ch 10 Conics
Ch 11 Exponential and Logarithmic Functions
Ch 12 Sequences and Series
Ch 13 Combinatronics and Probability
Ch 14 Statistics and Data Analysis
Ch 15 Introduction to Calculus

Grade 12 Calculus

Ch 1 Function Notation
Ch 2 Piecewise Functions
Ch 3 Limits
Ch 4 Evaluating Limits
Ch 5 Continuity
Ch 6 Slope of a Curve
Ch 7 Definition of Derivative
Ch 8 Basic Differentiation Rules
Ch 9 The Product Rule
Ch 10 The Quotient Rule
Ch 11 The Chain Rule
Ch 12 Combining Differentiation Rules
Ch 13 Implicit Differentiation
Ch 14 Higher Order Derivatives
Ch 15 Interval Notation
Ch 16 Distance Velocity, Acceleration
Ch 17 Relative and Absolute Extrema
Ch 18 The First Derivative Test
Ch 19 Concavity and the Second Derivative Test
Ch 20 Optimization Tests
Ch 21 Polynomial Curve Sketching
Ch 22Related Rates 1 and 2
Ch 23 Integration
Ch 24 Definite Integrals
Ch 25 Area under a curve
Ch 26 Area Between two lines