Level A |

Level B |

Level C |

Level D |

Level E |

Level F |

Level G |

Level H |

Level I |

Level J |

Level K |

Level L |

## Math

Level A:

- Trace and draw shapes
- Recognize and write numbers 1-5
- Count numbers 1-10
- Compare length, height, size, speed, and quantity
- Compose and decompose numbers 2-5
- Learn the concept of order

Level B:

- Learn to recognize different figures
- Compare and classify different objects
- Recognize and write numbers 1-9
- Tell the order of numbers 1-9
- Compose & decompose numbers to 6
- Introduce simple addition and subtraction concepts

Level C:

- Group shapes by size and color
- Learn expressions to compare quantities and sizes
- Learn to recognize and write numbers 1-20
- Learn to recognize ordinal numbers
- Compose and decompose numbers to 10
- Addition and subtraction to 5
- Learn to recognize positions of an object

Level D:

- Number operation of addition and subtraction
- Learn to recognize & compare numbers 0-99
- Comprehend place values of ones and tens digits
- Learn to recognize 3-D and 2-D shapes
- Learn to tell time and read a calendar
- Learn to recognize coins and their value

Level E:

- Learn place values of 3 digit numbers
- Introduce estimation and rounding concepts
- Introduce addition and subtraction of 2 digit numbers with regrouping
- Understand the terms of geometry

(line, vertex, etc.) - Tell time to each 5 minutes and read calendar
- Introduce addition and subtraction of units of length

Level F:

- Introduce multiplication and division of 1 digit numbers
- Learn place values of 6 digit numbers
- Addition and subtraction of 3 to 6 digits with regrouping
- Tell time to each 1 minute
- Introduce the concepts of different units of length
- Learn to read different types of graphs
- Introduce the concept of probabilities

Level G:

- Introduce fractions and decimals
- Understand multiplication of 3 digit numbers by 2 digit numbers
- Understand division with up to 5 digit dividends and 1 digit divisors
- Identify different types of triangles by given angles
- Introduce the measurement of the perimeter of a figure
- Recognize units of capacities and weights
- Addition and subtraction of like fractions and decimals

Level H:

- Learn place values of large numbers
- Introduce degree of angles along with perpendicular and parallel lines
- Learn properties of triangles and quadrilaterals
- Division of 2 to 5 digit numbers by 2 digit numbers
- Addition and subtraction of unlike fractions
- Introduce multiplication and division of fractions
- Addition and subtraction of times up to seconds
- Finding the areas of plane figures

Level I:

- Differentiate between prime and composite numbers
- Use prime factorization to find GCF and LCM
- Introduce different methods to reduce fractions
- Division of decimals
- Understand the relationship among capacity, volume, and weight
- Learn mixed calculation of four operations with fractions and decimals
- Introduce ratios and percentages

Level J:

- Learn the concept of absolute values
- Introduce the concept of power, exponent, and base
- Learn about factors and multiples
- Translate phrases and sentences into mathematical expressions, equations, and inequalities
- Solve two-step and multi-step equations and inequalities
- Develop a conceptual understanding of area of a circle and volume of spheres
- Create word problems with given rates
- Learn to graph linear equations and inequalities

Level K:

- Develop a conceptual understanding of slope by using multiple representations
- Solve systems of linear equations by graphing, elimination, and substitution methods
- Learn to multiply polynomials
- Learn to factor polynomials
- Solve a real world problem involving quadratic equation
- Understand the characteristics of rational functions by graphing
- Learn the property of probability

Level L:

- Understand the different types of quadrilaterals
- Introduce frustum of pyramids
- Learn three different types of transformations: translation, reflection, and rotation
- Proving two congruent triangles in two-column proof using congruence postulates and theorems
- Learn the relations between the trigonometric ratios to solve for unknown sides or angles of triangles
- Identifying the relationships between a line and a plane