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’clock) ✬ Patterns, Graphs, Tally marks ✬ Related word/ challenge problems for the covered topics.

✬ 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

✬ 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

✬ 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

✬ 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

✬ 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

✬ 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

✬ 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

✬ 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

✬ 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

✬ 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

All topics in Pre-Calculus are covered in Anagha's Math Level 10.