Level K

• Introduction to numbers
• Counting numbers up to 100 – forward and backward.
• Skip Counting by 2s, 5s & 10s.
• Finding missing numbers.
• Compare numbers > < =
• Writing before and after numbers.
• Sorting numbers – Ascending and Descending order.
• Single digit additions.
• Single digit subtractions.
• Finding missing addends in addition equations.
• Place values – One, tens and hundreds.
• Number Forms – Expanded and Standard forms.
• Introduction to Two-digit additions.
• Introduction to Two-digit subtractions.
• Story problems – Addition & Subtraction.

Level A

• Number and Operations in Base 10.
• Counting numbers by 2s, 5s & 10s.
• Rounding (10s & 100)
• Place values
• Arithmetic Sequence
• Math mountain equations
• Addition Fact Families
• Commutative Properties of Addition
• Mental Math addition
• Regrouping Addition and Subtraction.
• Finding missing addends in addition, subtraction equations.
• Multiplication: 2-digit & 3-digit with 2, 3, & 4.
• Geometry: Recognizing 2D & 3D shapes
Basic properties of 2D shapes. (Sides, Angles & Vertices)
• Money Problems – pennies, nickels, dimes & quarters.
• Time (Clock): Current time
     Elapsed time
• Story problems – Addition, Subtraction & Multiplication.
• Math Puzzles.

Level B

• Regrouping 3 – 4-digit addition and subtraction.
• Multiplication: Multiplying 3-, 4- and 5-digit numbers by a single digit.
• Introduction to Division Concept: Simple division and long   division by 2, 3, 4 & 5.
• Mental math multiplication with 10s & 100s
• Mental Math addition.
• Mental Math multiplication (with tens eg. 23*20) .
• Introduction to numbers with place values up to 999.
• Rounding 10s & 100s.
• Fact Families: Addition, Multiplication.
• Math Mountain equations.
• Arithmetic Sequence.
• Finding missing addends in equations.
• Fractions: Basics of Fractions (shaded, unshaded, and whole)
           Dividing Shapes into equal parts and writing fractions.
                    Determining Fractions in Number line.
                   Equivalent Fractions.
                   Comparing Fractions with Like denominators.
                   Comparing Fractions with Unlike denominators.
                  Adding Fractions.
                  Subtracting Fractions.
• Geometry: Introduction to Lines of symmetry.
  2D & 3D Properties.
• Measurements – Metric system
           US customary system
           Units Conversion
• Story Word Problems : One or two step word problems.
• Time (Add, Subtract & Elapsed time)
• Money & Time Problems.
• Math Puzzles
• Advanced Money Word problems

Level C

•  Review of 3 & 4 – digit addition and subtraction.
• Review of 3 digits by 1 digit multiplication.
• Review of simple division and long division below 1000.
• Review of Place values up to 100.
• Place values
• Rounding (10s & 100s)
• Missing numbers with rule
• Missing numbers in equations
• Time (Add, Subtract & Elapsed time)
• Money
• Introduction to numbers with place values up to 1,000,000.
• Multiplication of 3 & 4 – digit numbers with 2-digit number.
• Division with 4 & 5 – digit dividends.
• Introduction to Numbers – Natural numbers, Whole numbers, Prime & Composite numbers.
• Introduction to Multiples, Factors & Factor pairs.
• Prime Factorization.
• Exponents.
• Properties – Commutative, Associative, Identity, Zero, & Distributive properties
• Multi step Story problems (addition, subtraction, multiplication & division).
• Fractions:
       Basics of Fractions (shaded, unshaded, and whole)
       Dividing Shapes into equal parts and writing fractions.
       Determining Fractions in Number line.
       Equivalent Fractions.
       Comparing Fractions with Like denominators.
       Comparing Fractions with Unlike denominators.
       Adding Fractions.
       Subtracting Fractions.
       Word problems.
• Introduction to Types of fractions (Proper, Improper & Mixed number).
• Locating the wholes and fractions on a number line.
• Conversion between improper fraction and mixed number.
• Introduction to basic algebraic equations.
• Geometry – 2D & 3D Shapes Properties and Axis of symmetry.
       Lines, rays, segments, angles, triangles, quadrilaterals and polygons.
       Area & Perimeter Problems – (Rectangle, Square & Irregular shapes)
       Word Problems on finding Area and Perimeter.
• Measurements – Metric system
       US customary system
       Units Conversion
• Money & Time Problems
• Math Puzzles
• Word Problems

Level D

• Review of number system – Prime & Composite numbers.
• Review of Multiples, Factors & Factor Pairs.
• Review of Prime Factorization.
• Review of multiplication & division with 3 & 4 digit numbers.
• Review of Money & Time.
• Review of Equations and Expressions.
• Multiplication of 5 & 6 digit numbers with 1-digit & 2-digit numbers.
• Division with 5 & 6 digit dividends with 1-digit & 2-digit divisors.
• Divisibility rules for 2, 3, 4, 5, 6, 8, 9,10 & 12.
• Finding Least Common Multiple (LCM) using different methods.
• Finding Greatest Common Factor (GCF) using different methods.
• Fractions
       Converting Mixed to Improper and vice versa.
       Adding and subtracting fractions and mixed numbers.
       Multiplication & Division of fractions.
       Adding and subtracting more than 2 fractions using LCM method.
       Word problems on Fractions
• Introduction to decimals
        Decimal numbers – Addition, Subtraction, Multiplication & Division.
        Converting fractions to decimals and vice versa.
• Introduction to Integers – Numeric expressions.
• Order of Operation – Solving numeric expressions using PEMDAS.
• Introduction to Algebra –
       Algebraic expressions: Terms, Variables, Coefficients, Constants.
       Solving one step equations
       Simplifying the terms.
       Simplify the algebraic expressions.
• Introduction to Ratios –
       Find the Ratios
       Simplest form of ratios.
       Equivalent Ratios
• Introduction to Geometry –
       Finding area and perimeter of square, rectangle, Parallelogram, triangle &
       Irregular shapes.
       Types of Angles.
• Measurements – Metric System and US Customary System
       Types of Units
       Conversion of units
• Multi step Story problems (addition, subtraction, multiplication & division).
• Challenging Word Problems

Level E

• Review of Prime Factorization.
• Review of Divisibility rules for 2, 3, 4, 5, 6, 8, 9, 10 & 12.
• Review of Least Common Multiple (LCM) using different methods.
• Review of Greatest Common Factor (GCF) using different methods.
• Review of Fractions
       Multiplication and Division of fractions.
       Adding and subtracting more than 2 fractions using LCM method.
• Review of Numeric expressions using Order of Operations (PEDMAS).
• Number System
       Rational & Irrational numbers.
       Decimal numbers – Addition, Subtraction, Multiplication & Division.
       Converting fractions to decimals and vice versa.
       Operations with Integers.
• Introduction to Algebra
       Term, Variable, Coefficient & Constant.
       Solving single variable algebraic expressions.
       Solving algebraic equations using addition, subtraction, multiplication & division
  methods.
       Solving two-step & multi-step equations.
      Applying Distributive property to algebraic equations.
      Story problems involving algebra.
• Ratios & Proportions.
       Introduction to simple Ratios.
      Finding missing Ratios.
       Introduction to Proportions.
       Finding missing variable in  Proportion equations.
       Word problems on Ratios & Proportions.
• Rate Problems.
       Introduction to Rate & unit rates.
       Word problems on rate.
• Distance, Speed & Time.
       Introduction to Distance, Speed & Time Formula.
       Solving problems using Formula.
• Geometry.
       Lines.
       Area & Perimeter of Square, Rectangle, Triangle, Parallelogram, Trapezoid &
       Circle.
       Area & Perimeter of regular Polygons.
       Area & Perimeter of 3D shapes (cube, prism & cylinder).
       Volume of 3D shapes.
       Finding Surface area.
• Percentages

Level F (Algebra 1)

• Introduction to Polynomials
       Adding and subtracting Polynomials.
       Multiplying and Dividing Polynomials.
       Simplifying the multiple polynomial expressions.
• Functions
       Domain and Range.
       Independent and dependent variables.
       Writing Function Rules.
       Represent functions as graphs.
• Linear Equations & Inequalities
       Introduction to coordinate planes.
       Graph using intercepts.
       Finding Slope and Rate of Change.
• Absolute value equations & inequalities
• Compound Inequalities
• Graphing linear equations and inequalities.
• Exponents
• Special Products formulas
       Solving equations using Zero-Product property.
       Factoring Trinomials.
• Quadratic equations.
       Understanding Quadratic equations
       Solving Quadratic equations by factoring.
• System of Linear Equations.
       Graphing method of solving equations
       Elimination method of solving equations
       Substitution method of solving equations

Level G (Geometry)

• Inductive reasoning
• Conjecture
• Counter example
• Conditional Statements – Hypothesis & Conclusion
• Truth Value
• Related Conditional statements – Conditional, Converse, Inverse, & Contrapositive
• Conjunction & Disjunction
• Biconditional (if and only if)
• Deductive reasoning (Law of Detachment & Law of Syllogism)
• Properties of Equality
       (Addition, Subtraction, Multiplication, Division, Reflexive, Symmetric, Transitive,
        Substitution)
• Properties of Congruence
       (Reflexive, Symmetric, & Transitive)
• Parallel and Skew lines
• Transversal
• Angle pairs formed by Transversals
       Alternate interior angles
       Same-side interior angles
       Corresponding angles
       Alternate exterior angles
• Formulas
       Midpoint
       Distance
       Midsegment
• Postulates:
       1) Angles
                      Corresponding Angles Postulate
                      Converse of the Corresponding Angles Postulate
                      Parallel Postulate
                      Perpendicular Postulate
       2) Triangles
                      Side-Side-Side (SSS) Postulate
                     Side-Angle-Side (SAS) Postulate
                     Angle-Side-Angle (ASA) Postulate
                     Angle-Angle-Side (AAS) Postulate
                     Hypotenuse-Leg (HL) Theorem
• Theorems:
       1) Angles
                    Vertical Angles Theorem
                   Congruent Supplements Theorem
                   Congruent Complements Theorem
                    All right angles are congruent
                    If two angles are congruent and supplementary, then each angle is a right angle.
                    Alternate Interior Angles Theorem
                    Same-Side Interior Angles theorem
                    Alternate Exterior Angles Theorem
                   Converse of the Alternate Interior Angles Theorem
                   Converse of the Same-Side Interior Angles theorem
                   Converse of the Alternate Exterior Angles Theorem
                   If two lines are parallel to the same line, then they are parallel to each other
                   If two lines are perpendicular to the same line, then they are parallel to each
                  other.
                  If a line is perpendicular to one of two parallel lines, then it is also perpendicular
                  to the other.
       2) Triangles
                 Triangle Angle Sum Theorem
                 Triangle Exterior Angle Theorem
                 Third Angles Theorem
                 Isosceles Triangle Theorem
                 Converse of the Isosceles Triangle Theorem
                 Triangle Midsegment Theorem
                 Perpendicular Bisector Theorem
                 Converse of the Perpendicular Bisector Theorem
                 Angle Bisector Theorem
                 Converse of the Angle Bisector Theorem
                 Congruency of Perpendicular Bisectors Theorem
                 Congruency of Angle Bisectors Theorem

Level H (Algebra 2)

• Linear Models
•  Scatter Plots
•  Relations and Functions
•  Absolute Value Functions and Graphs
•  Two Variable Inequalities
•  Graphing Linear Inequalities
•  Quadratic Functions and Transformations
•  Standard Form of a Quadratic Function
•  Factoring Quadratic Expressions
•  Completing the Square
•  The Quadratic Formula
•  Complex Numbers
•  Quadratic Systems
•  Polynomials & Polynomial functions:
           Polynomial Functions
           Polynomials, Linear Factors, and Zeros
           Solving Polynomial Equations
           Dividing Polynomials
          Rational Root Theorem
          Conjugate Root Theorem
          The fundamental Theorem of Algebra
          Binomial Theorem
          Pascal’s Triangle
•  Radical Function & Rational Exponents
         Roots and Radical Expressions
         Multiplying and Dividing Radical Expressions
         Adding and Subtracting Radical Expressions
         Multiplying Radical Expressions
         Multiplying Conjugates
         Rationalizing the Denominator
         Rational Exponents
         Solving Square Root Equations
         Solving Other Radical Equations
         Function Operations
         Inverse Relations and Functions
         Graphing Radical Functions