#### Math

### Course Description

### Early math

counting

Addition and Subtracting intro

Place value (tens and hundred)

Addition and Subtracting within 20

Addition and subtracting within 100

Addition and Subtraction within 1000

Measurement and data

Geometry

### Kindegarten

counting and place value

Addition and Subtracting

Measurement and geometry

### 1st grade

place value

Additions and Subtracting

Measurement ,data, and geometry

### 2nd grade

Add and subtract within 20

place value

Add and subtract within 100

Money and time

Measurement

Data

Geometry

### 3rd grade

Intro to multiplication

1-digit multiplication

Addition ,subtraction and estimation

Intro to division

Understand function

Equivalent fraction and Comparing fraction

more with multiplication and division

Arithmetic pattern and problem solving

Quadrilaterals Area

Permeter

Time

Measurement

Represent and in interpret data.

### 4th grade

place value

Addition ,subtracting and estimation

Multiply by 1-digit numbers

Multiply by 2-digit numbers

Division

Factors multiple and patterns

Equivalent fraction and comparing fractions

Add and subtract fractions

Multiply fractions

Understanding decimals

plane figure

Measuring angles

Area and Perimeter

Unit of measurement

### 5th grade

Decimal place value

Add decimals

Subtract decimals

Add and Subtract fractions

Multi-digit multiplications and divisions

Multiply fractions

Division fraction

Multiply decimals

Divide decimals

power of ten

volume

coordinate plane

Algebraic thinking

Converting unit of measure

Line plot

Properties of shapes

### 6th grade

Ratio, rates and percentage

Arithmetic operations

Negative Numbers

Properties of numbers

variables & expressions

Equations & inequalities

Geometry

Data and Statistics

### 7th grade

Negative numbers: addition and subtracting

Negative numbers: multiplication and division

Fractions ,decimals ,& percentages

Rates & proportional relationships

Expression, equations & inequalities

Geometry

Statistics and probability

### 6th grade

Numbers and operations

Solving equations with one unknown

linear equations and functions

System of equations

Geometry

Geometric transformation

Data and modeling

### Arithmetic

Additions and subtracting

Multiplications and divisions

Negative numbers

fractions

Decimals

### Basic geometry

Lines

Angles

Shapes

coordinates plans

Area & perimeter

Volume and surface area

Pythagorean theorem

Transformations, Congruence ,and Similarity

### Pre-algebra

Arithmetic properties

Factors and interpreting data

Reading and interpreting data

Measurement

Fractions

Decimals

Negative numbers and coordinates plane

Ratio, rates, properties

Equations ,expressions and inequalities

Exponents radicals and scientific notations

### Algebra basics

foundations

Algebraic Expressions

Linear equations and inequalities

Graphing lines and slope

System of equations

Expressions with exponents

Quadratics and polynomials

Equations and geometry

### Algebra 1

Algebra foundations

Solving equations & inequalities

working with units

Linear equations & graph

Forms of linear Equations

system of equations

Inequalities (system& graph)

Functions

Sequence

Absolute value & piecewise function

Exponent & radicals

Exponential growth and decay

Quadratics Multiplying & factoring

Quadratics function & equations

Irrational Numbers

### High school Geometry

Performing transformations

Transformations properties and proofs

congruence

Similarity

Right Triangle & Trigonometry

Non-right triangle & trigonometry (Advance)

Analytic geometry

Conic section

Circle

Solid Geometry

### Algebra 2

Polynomial arithmetic

complex numbers

Polynomial factorizations

polynomial division

polynomial graphs

Rational exponents and radicals

Exponential models

Logarithms

Transformations of functions

Equations

Trigonometry

Modeling

Rational function

### Trigonometry

Right -triangle & trigonometry

Trigonometric function

Non-right triangle & trigonometry

Trigonometric equations and Identities

### Statistics and probability

Analyzing categorical data

Displaying and comparing quantitative data

Summarizing quantitative data

### Modeling data distributions

Exploring bivariate numerical data

Study design

Probability

Counting , permutations and combinations

Random variable

Sampling distributions

Confidence intervals

Significance test (hypothesis testing)

Two sample inference for the different b…..

Inference for categorical data (chi-square t….

Advance regression (inference and transf….

Analysis of variance (ANOVA)

### High School Statics

Scatter plots

Data Distributions

Two-way tables

Study design

Probability

Normal distributions

### APR/College Student

Analyzing categorical data

Displaying and Describing data

Summarizing quantitive data

Modeling data distribution

Exploring bivariate numerical data

Study design

Probability

Random variable

Sampling distributions

confidence intervals

significance test (hypothesis testing)

inference comparing two groups and popular….

chi-square test for categorical data

More on regression

Prepare for the 2020 AP Statics exam

AP Statistics mapping

### Precalculus

complex number

Trigonometry

vector

matrices

series

Conic-section

Probability and combinatorics

### Different Calculus

limits and continuity

Derivatives: definition and basic rule

Derivatives: chain rule and other advance

Application and Derivatives

Analyzing function

Parametric equation, polar coordinate, a….

### Integral calculus

Integral

Differential equations

Applications of integral

Parametric equation, polar coordinate, a….

series

### AP /College Calculus AB

Limits and continuity

Differentiations: definitions and basic deriva…

Differentiations: composite, implicit and in..

contextual applications of differentiations

Applying derivatives to analyze functions

Integrations and accumulations of change

differential equations

Applications of integrations

AP Calculus AB solved free response ques..

AP Calculus AB Standard mapping

### AP /College Calculus BC

Limits and continuity

Differentiations: definition and basic derivative

Differentiations: composite, implicit and in..

Contextual applications of differentiations

Applying derivative to analyze functions

Integrations and accumulations of change of change

Differential equations

Applications of integrations

parametric equations ,polar coordinate ,aa…

Infinite sequence and series

AP Calculus BC solved exam

AP Calculus BC standard mapping

### Calculus 1

limits and continuity

Derivatives: definitions and basic rule

Derivatives : chain rule and and other advance

Applications of derivatives

Analyzing function

Integral

Differential equations

Applications of integral

### Calculus 2

Integral review

Integrations technique

Differential equations

Applications of integral

parametric equation, polar coordinate , a.

series

### Multivariable Calculus

Thinking about multivariable functions

Derivatives of multivariable derivatives

integrating multivariable functions

Green Stroke and the divergence theor..

### Differential Equations

first order differential equations

second order linear equations

Laplace transform

### Linear Algebra

vector and spaces

Matrices transformations

Alternate coordinate system(bases)

### 6th grade (illustrative Mathematics)

unit 1: Area and surface

unit 2: Introduction ratio

unit 3: Unit rates and percentage

unit 4 : Dividing fractions

unit 5: Arithmetic in base ten

unit 6 : Expression and equations

unit 7 : Rational Numbers

unit 8 : Data set and distributions

### 7th grade (illustrative Mathematics)

unit 1 : scale drawing

unit 2 : Introduction proportional relationship

unit 3 : Measuring Circle

unit 4 : proportional relationship and perc.

unit 5 : Rational number arithmetic

unit 6 : Expression , equation and inequa..

unit 7 : Angle ,triangle and prism

unit 8 : Probability and sampling

### 8th grade (illustrative Mathematics)

Module 1: Relationship between quantities

Module 2 : Descriptive statics

Module 3: Linear and exponential function

Module 4 : linear equations

Module 5 : Example of function from geo..

Module 7 : Introduction to irritational numb….

### Alegbra1 (Eureka Math/EngageNY)

Module 1: Relationship between quantities

Module 2 : Descriptive statistics

Module 3 : Linear and Exponential function

Module 4 : Polynomial and quadratic expr…

Module 5 : Circle with and without coordi..

### Geometry (Eureka Math\EngageNY)

Module 1: congruence , proof , and constru..

Module 2 : Similarity , proof , and trigonome..

Module 3 : Extending to three dimension

Module 4 : connecting algebra and geomet..

Module 5 : Circle with and without coordi..

### Alegbra2 (Eureka Math/EngageNY)

Module 1 : polynomial , rational and radical

Module 2 : Trigonometric function

Module 3 : Exponential and logarithmic fun..

Module 4 : Inferences and conclusion fro.

precalculus

### precalculus (Eureka Math/EngageNY)

Module 1 : Complex numbers and transfor..

Module 2 : Vector and matrices

Module 3 : Rational and exponential functi…

Module 4 : Trigonometric

Module 5 : Probability and Statistics

### 3th grade foundations

Module 1: Foundations

Module 2: Foundations

Module 3: Foundations

Module 4: Foundations

Module 5: Foundations

Module 6: Foundations

Module 7: Foundations

### 4th grade foundations

Module 1: Foundations

Module 2: Foundations

Module 3: Foundations

Module 4: Foundations

Module 5: Foundations

Module 6: Foundations

Module 7: Foundations

### 5th grade foundations

Module 1: Foundations

Module 2: Foundations

Module 3: Foundations

Module 4: Foundations

Module 5: Foundations

Module 6: Foundations

### 6th grade foundations

Module 1: Foundations

Module 2: Foundations

Module 3: Foundations

Module 4: Foundations

Module 5: Foundations

Module 6: Foundations

### 7th grade foundations

Module 1: Foundations

Module 2: Foundations

Module 3: Foundations

Module 4: Foundations

Module 5: Foundations

Module 6: Foundations

### 8th grade foundations

Module 1: Foundations

Module 2: Foundations

Module 3: Foundations

Module 4: Foundations

Module 5: Foundations

Module 6: Foundations

### Mathematics 1

Algebra Foundations

solving equations & inequalities

working with units

Linear equations & graph

forms of linear equations

system of equations

inequalities (System & graph )

function

Scatterplots

Data distributions

Two way-tables

Sequences

Exponent & radicals

Exponential growth &decay

Performing transformations

Transformations properties and proof

congruence

Analytic geometry

### Mathematics 2

Absolut value & piecewise function

Quadratics: Multiplying & fraction

Quadratics: function & equations

Irrational number

complex number

Rational exponent and radicals

Exponential models

Similarities

Right Triangle & trigonometry

Solid geometry

circle

Conic section

probability

### Mathematics 3

polynomial arithmetic

polynomial factorization

polynomial division

polynomial graphs

Logarithms

Transformations of function

Equations

Trigonometry

Modeling

study Design

Binomial probability

Normal distributions

Rational function

### Arithmetic( all content )

Place value

Addition and Subtracting

Multiplication and division

Negative number

Fractions

Decimal

### Algebra(all content)

Introduction to algebra

solving basic equation & inequalities (one…

Linear equation , function ,& graph

Sequences

system of equations

Two variable inequalities

Functions

Absolute value equation , function , & ine…

Quadratic equation & function

polynomial expression , equations & func…

Exponential & logarithmic func..

Radical equation & function

Rational expression ,equations, & function

Trigonometry function

Algebraic modeling

complex number

conic section

Series & induction

vector

matrices

### Geometry

line

angle

shape

triangle

Quadrilaterals

Coordinate plane

Area and perimeter

volume and surface area

Pythagoream theorem

Transformations

congruence

Similarity

Trigonometry

Circle

Analytic geometry

Geometric construction

Miscellaneous

### Get ready for 3rd grade

Get ready for addition and subtracting

Get ready for multiplication and division

Get ready for fraction

Get ready for pattern and problem solving

Get ready for area and perimeter

Get ready for telling time

Get ready for data

### Get ready for 4thgrade

Get ready for place value

Get ready for addition and subtracting and es..

Get ready for multiplication

Get ready for division

Get ready for plane figure

Get ready for area and perimeter

### Get ready for 5th grade

Get ready for decimal place value

Get ready for addition and subtracting decimal

Get ready for addition and subtracting fraction

Get ready for multiplication and division w…

Get ready for multiplication and division fraction

Get ready for power of 10

Get ready for volume

Get ready for proportion of shapes

### Get ready for 6th grade

Get ready for ratio, rates and percentages

Get ready for arithmetic operation

Get ready for negative number

Get ready for equations , expressions , and i…

Get ready for geometry

### Get ready for 7th grade

Get ready for negative number operation

Get ready for fraction ,decimal & perc

Get ready for rates & proportional relation

Get ready for expression ,equation & in..

Get ready for geometry

Get ready for statistics & probability

### Get ready for 8th grade

Get ready for number & operations

Get ready for solving equation and system

Get ready for linear equation and function

Get ready for geometry

### Get ready for Algebra 1

Get ready for equation & inequalities

Get ready for working with units

Get ready for linear relationship

Get ready for function & sequences

Get ready for exponent , radicals & irratio.

Get ready for quadratics

### Get ready for Geometry

Get ready for congruence , similarity and tr..

Get ready for analytic geometry

Get ready for conic section

Get ready for solid geometry

### Get ready for Algebra 2

Get ready for polynomial operations and c…

Get ready for equation

Get ready for transformation and function

Get ready for exponential and logarithm

Get ready for trigonometric

Get ready for rational function

### Get ready for precalculus

Get ready for complex number

Get ready polynomial

Get ready for composite and inverse function

Get ready for trigonometric

Get ready for vector and matrices

Get ready for series

Get ready for conic section

Get ready for probability and combinatorics

### MAP Recommended practice

Geometry <59

Geometry 159-175

Geometry 176-188

Geometry 189-200

Geometry 201-210

Geometry 211-217

Geometry 218-221

Geometry 299+

Operation and Algebra <159

Operation and Algebra 159-175

Operation and Algebra 176-188

Operation and Algebra 189-200

Operation and Algebra 201-210

Operation and Algebra 211-217

Operation and Algebra 201-210

Operation and Algebra 211-217

Operation and Algebra 218-221

Operation and Algebra 222-226

Operation and Algebra 227-228

Operation and Algebra 229+

Measurement and data <159

Measurement and data 159-175

Measurement and data 176-188

Measurement and data 189-200

Measurement and data 201-210

Measurement and data 211-217

Measurement and data 218-221

Measurement and data 222-226

Number and operation <159

Number and operation 159-175

Number and operation 176-188

Number and operation 189-200

Number and operation 201-210

Number and operation 211-217

Number and operation 222-226

Number and operation 299+

Real and complex number <159

Real and complex number 159-175

Real and complex number 176-188

Real and complex number 189-200

Real and complex number 201-210

Real and complex number 211-217

Real and complex number 222-226

Real and complex 229+

Statistics and Probability 159-175

Statistics and Probability 176-188

Statistics and Probability 189-200

Statistics and Probability 201-210

Statistics and Probability 211-217

Statistics and Probability 222-226

Statistics and Probability 229+

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