# Anagha's Math

# Anagha's Math

To educate, motivate and encourage every student to excel in mathematics.

To educate, motivate and encourage every student to excel in mathematics.

✬ Comparing numerals

✬ Ascending/Descending order

✬ Odd/Even Numbers (1-20)

✬ Skip counting by 2,3,5,10

✬ Greater/Less than/Equal quantities

✬ Measurement by inches and centimeters

✬ Static Addition/Subtraction 1-30

✬ Basic geometric shapes

✬ Introduction to money and Time (O’clocks)

✬ Patterns, Graphs, Tally marks

✬ Related word/challenge problems for the covered topics.

✬ 3-4 digit Dynamic Addition and Subtraction

✬ Add/Subtract using a number line

✬ Grouping by multiples of tens to add/ subtract

✬ Commutative/additive property for addition

✬ Mixed operations (sum / difference)

✬ Sum and difference with zero

✬ Multiplication as repeated addition concept

✬ Roman numerals ( 1-10)

✬ Area and perimeter of square and rectangle

✬ Draw different geometric shapes and solids

✬ Money Calculations, Interpreting time

✬ Determining by AM and PM

✬ Related word/challenge problems for the covered topics

✬ Spellings 1-100

✬ Tallymarks,Odd/Even,Skip counting

✬ Static Addition/Subtraction(1-100)

✬ Dynamic Addition (CarryOver)

✬ Commutative/Associative property for addition

✬ Fact families

✬ Measurement by fractions, Inches , centimeters

✬ Counting by 5,10,50,100

✬ Ascending/Descending order

✬ Introduction to reading a chart, picture graphs

✬ Basic geometric plane and 3-D shapes

✬ Simple operation with money and coins

✬ Time calculation by hours and half past

✬ Related word problems for the covered topics

✬ Expanded notations

✬ Spellings (1-1000)

✬ Ordering Fractions up to 1/10th

✬ Understanding Equivalent fractions

✬ Time- Analog/Digital (Quarter past/ to intervals)

✬ Measuring with U.S Customary units

✬ Adding and Subtracting fractions with same denominators

✬ Number line operations

✬ Representing and Interpreting data

✬ Line graph, histograms, Pictographs

✬ Multiplication tables( 1-11)

✬ Geometry ( lines, rays, segments, angles, triangles, quadrilaterals and polygons)

✬ Perimeter,Area and axis of symmetry

✬ Simple 2-3 digit multiplication

✬ Basic division concept

✬ Related word/challenge problems for the covered topic

✬ Place value up to millions place and Numeral translation

✬ 3-4 digit Dynamic Addition and Subtraction

✬ Dynamic Multiplication with multi digits

✬ Estimation and Rounding by 10’s, 100’s,1000’s

✬ Division Facts - Dividing 2-3 digit dividends

✬ Conversion units of Length, Weight and Capacity

✬ Adding and subtracting decimals

✬ Prime Numbers and Composite numbers

✬ Mixed and Improper and Equivalent fractions

✬ Adding and subtracting with like and unlike denominators

✬ Data, Ratio and Probability

✬ Expressions and Equations

✬ Roman numerals ( 1-100)

✬ Calculate Area ,Perimeter and Volume

✬ Measuring angles using Protractor

✬ Introduction to prisms and pyramids

✬ Plotting graph points

✬ Related word problems for the covered topics

✬ Decimal Multiplication and Division

✬ Terminating and Recurring decimals

✬ Fractions with all four operations.

✬ Exponents and Order of operations(PEMDAS)

✬ Equations and Inequalities

✬ Prime numbers , Factors and Multiples

✬ Greatest Common Factor/ Least Common Multiple

✬ Simple direct/ Inverse variation problems

✬ Ratios, Proportions and Percentage equations

✬ Probability and Data Analysis using graphs and frequency tables.

✬ Intro to square and cube roots

✬ Roman numerals ( 1-1000)

✬ Calculate Simple Interest

✬ Polynomials and Linear equations

✬ Perimeter and Area of Composite figures

✬ Volume and Surface area

✬ Measure and Construct triangles,quadrilaterals and circle

✬ Plotting graph coordinates

✬ Related word problems for the covered topics

✬ Integers and their operations

✬ Rational numbers and their operations

✬ Solving/Simplifying Expressions, equations & inequations

✬ Ratio and proportion

✬ Percentage and profit/ Loss

✬ Constructions & scale drawings

✬ Circles and Area

✬ Surface Area and Volume

✬ Probability and Statistics

✬ Simple interest

✬ Triangle and quadrilateral properties

✬ Integers and their operations

✬ Rational numbers and their operations

✬ Solving/Simplifying Expressions, equations & inequations

✬ Ratio and proportion

✬ Percentage and profit/ Loss

✬ Constructions & scale drawings

✬ Circles and Area

✬ Surface Area and Volume

✬ Probability and Statistics

✬ Lines, Angles, Triangles & Pythagorean Theorem

✬ Transformations(Translation, rotation, reflection & Dilation)

✬ Congruent and similar shapes and properties

✬ Graphing and writing linear equations

✬ Real numbers, exponents & Scientific notation

✬ Volume of solids

✬ Advanced simple interest and compound interest problems

✬ Multiplication and Division of polynomials

✬ Graphing linear inequations

✬ Solving system of equations/ inequations using graphing/ elimination and substitution

✬ Quadratic functions and their properties

✬ Square Root and Absolute value functions

✬ Exponential functions and equations

✬ Transformations related to functions

✬ Solving quadratic equations(Using splitting the middle term and quadratic formula)

✬ Variations (using 3 or more parameters)

✬ Growth/Decay (Compound Interest/ Depreciation)

✬ Square and Cube identities

✬ Factorization/ Expansion of polynomials,

✬ Laws of exponents

✬ Properties of special triangles and Pythagoras theorem

✬ Volume and surface area of regular solids (rectangular prism,cube,cone,cylinder and sphere)

✬ Constructions- circumcircle/incircle and Quadrilaterals

✬ Properties of parallel lines

✬ Properties of isosceles and other special triangles

✬ Congruence of triangles- tests, properties and proofs

✬ Properties of polygons/ exterior and interior angle properties

✬ All properties of quadrilaterals and related proofs

✬ Circles properties and proofs

✬ Tangents and Chord properties

✬ Arcs and angles in a circle

✬ Review of Constructions

✬ Pythagoras theorem and converse

✬ Similar triangles

✬ Trigonometric ratios

✬ Laws of sines and cosines

✬ Direct/indirect proofs

✬ Quadratic equations and Functions

✬ Radical and Absolute value Functions

✬ Exponential and Logarithmic Functions

✬ Polynomial Operations

✬ Factoring and solving polynomial equations

✬ Remainder and Factor theorem

✬ Sequences and Series

✬ Probability and Statistics

✬ Basic operations using Matrices

✬ Trigonometry

✬ SAT/ACT Tests