Advanced Math
(Grade 9 to 12)

Mathematics (CBSE – NCERT)

Geometry

Shapes & Spatioal Understanding

• Creates shapes through paper folding, paper cutting.
• Identifies 2-D shapes
• Describes the various 2-D shapes by counting their sides, corners and diagonals.
• Makes shapes on the dot-grid using straight lines and curves.
• Creates shapes using tangram pieces.
• Matches the properties of two 2-D shapes by observing their sides and corners (vertices).
• Tiles a given region using a tile of a given shape.
• Distinguishes between shapes that tile and that do not tile.
• Intuitive idea of a map. Reads simple maps (not necessarily scaled)
• Draws some 3D-objects.

Numbers

Number sequence upto 1000

• Reads and writes 3-digit numbers.
• Expands a number w.r.t. place values.
• Counts in different ways – starting from any number.
• Compares numbers.
• Forms greatest and smallest numbers using given digits.

Addition and Subtraction

• Adds and subtracts numbers by writing them vertically in the following two cases:
• without regrouping.
• with regrouping.
• Uses the place value in standard algorithm of addition and subtraction.
• Solves addition and subtraction problems in different situations presented through pictures and stories.
• Frames problems for addition and subtraction facts.
• Estimates the sum of, and difference between, two given numbers.

Multiplication

• Explains the meaning of multiplication (as repeated addition).
• Identifies the sign of multiplication.
• Constructs the multiplication tables of 2, 3, 4, 5 and 10
• Uses multiplication facts in situations.
• Multiplies two digit numbers using standard algorithm and Lattice multiplication algorithm.

Division

• Explains the meaning of division from context of equal grouping and sharing.
• Relates division with multiplication.
• Completes division facts:
• by grouping
• by using multiplication tables.

Mental Arithmetic

• Adds and subtracts single digit numbers and two digit numbers mentally.
• Doubles two digit numbers mentally (result not exceeding two digits). Money (5 hrs.)

Money

• Converts Rupee. to Paise using play money.
• Adds and subtracts amounts using column addition, and subtraction without regrouping.
• Makes rate charts and bills.

Measurement

Length

• Appreciates the need for a standard unit.
• Measures length using appropriate standard units of length by choosing between centimetres and metres.
• Estimates the length of given object in standard units and verifies by measuring.
• Uses a ruler
• Relates centimetre. and metre.

Weight

• Weighs objects using non standard Units.
• Appreciates the conservation of weight.

Volume

• Measures and compares the capacity of different containers in terms of non-standard units.
• Appreciates the conservation of volume.

Time

• Reads a calendar to find a particular day and date.
• Reads the time correct to the hour.
• Sequences the events chronologically.

Data Handling

• Records data using tally marks.
• Collects data and represents in terms of pictograph choosing appropriate scale and unit for display through pictographs.
• Draws conclusions from the data by discussing with the teacher.

Patterns

• Identifies simple symmetrical shapes and patterns.
• Makes patterns and designs from straight lines and other geometrical shapes.
• Identifies patterns in the numerals for odd and even numbers and in adding odd and even numbers.
• Partitions a number in different ways.
• Identifies patterns in his surroundings
• Identifies patterns in multiplication with, and dividing by 10s.