## MATHS CURRICULUM

##### 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