## Curriculum

### Anagha's Math Level K

✬ Counting Numbers 1-150
✬ One to one correspondence
✬ Spellings (1-20)
✬ 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.

### Anagha's Math Level 1

✬ Counting Numerals 1-1000
✬ 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/ challenge problems for the covered topic

### Anagha's Math Level 2

✬ Place value up to 9999
✬ 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 problems for the covered topics

### Anagha's Math Level 3

✬ Place value upto hundred thousand place
✬ 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 problems for the covered topics

### Anagha's Math Level 4

✬ 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 topic

### Anagha's Math Level 5

✬ 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 topic

### Anagha's Math Level 6

✬ Intro to irrational numbers
✬ Solving and graphing linear equations/ inequations
✬ Scientific notation
✬ Interest
✬ Ratio and proportion
✬ Direct / inverse variation,
✬ Profit and loss
✬ Types and Degree of Polynomials
✬ Order of operations involving Polynomials
✬ GCF and LCM of Polynomials
✬ Squares / cubes
✬ Plotting points in four quadrants,
✬ Surface area and volume of prisms and pyramids
✬ Intro to box plots
✬ Quadrilaterals and their properties
✬ Construction of triangles, angle bisector and perpendicular bisector
✬ Probability
✬ Challenge math word problem

### Anagha's Math Level 7

✬ Real numbers

✬ 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 & sphere)
✬ Constructions- circumcircle/incircle and Quadrilaterals
✬ Properties of parallel line

### Anagha's Math Level 8

✬ Line, angles and parallel line properties
✬ 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 proof

### Anagha's Math Level 9

✬ Linear equations and Functions
✬ 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 Test