TIIE Mathematics Module

Introduction
The mathematics module has been designed with the aim to support the development of students' foundational numeracy skills through the use of different models, teaching strategies, and input formats that incorporate principles of Universal Design for Learning to ensure inclusion of all learners in the classroom.

Objectives

 * To provide students alternate methods to visualize and engage with mathematical concepts
 * To help students make meaning of mathematical concepts and understand them better
 * To provide opportunities for students to work together and learn collaboratively

Complement game
Objectives:


 * able to identify the complement number.
 * able to compare it to addition of numbers.
 * able to compare complement of 10 to complement of 100.
 * able to do addition through playing game.

Theme/concept: Number comparison, cardinality and ordinality
Objectives:


 * Revisiting basic number concepts
 * Working with peers to recall and revise understanding of numbers and number relations
 * To understand number cardinality through comparison of their relative sizes
 * To understand number ordinality through comparison of their relative positions

Theme/concept: Representing numbers using the F-L-U model
Why the F-L-U model?

The FLU model incorporates the cardinality of numbers and helps visualize the ‘size’ of numbers. Units are represented as single blocks, tens as a collection of 10 single blocks and a hundred as a collection of 10 longs or 100 single blocks.

Both physical and digital versions of the model are available. The model can be replicated physically with just a sheet of cardboard/sheet of paper as well.

The F-L-U model also help to understand addition and subtraction better as the ‘why’ behind carry-over/borrowing/regrouping when working with larger numbers can be explained as the ‘putting together’ or ‘taking apart’ of the units, longs and flats when necessary.

Objective:


 * To understand/reinforce the base-10 structure of the number system using the FLU model
 * To recall the concepts of bidi(units), hattu(tens), nuru(hundreds)
 * To learn how numbers can be represented using the FLU model and correlate the representation to the H-T-U representation

Theme/concept: Addition using the F-L-U model
Learning objectives:


 * To understand how the FLU  model  can be used to perform addition of  upto 3 digit numbers with and without carry-over
 * To visualize what it means to ‘carry-over’
 * To correlate the addition process using FLU model to the standard  algorithm

Theme/concept: Subtraction using the F-L-U model
Learning objectives:


 * To understand how the FLU  model  can be used to perform subtraction  of upto 3 digit numbers  with and without regrouping
 * To visualize what it means to  regroup/’borrow’
 * To correlate the subtraction process using FLU model to the standard  algorithm

Theme/concept: Understanding the meaning of multiplication
Objectives:


 * To vizualize multiplication using different models of conception
 * To understand the meaning of multiplication in context and using representative  models

Theme/concept: Play with Shapes
Objectives :


 * To distinguish straight lines and curved lines
 * To identify 2-D shapes rectangle, square, triangle, circle by their names
 * To describes the various 2-D shapes by counting their sides,  corners  - Creates shapes through paper folding, paper cutting.  - Make shapes on the dot-grid using straight  and curved lines.  - Sorts, Classifies and describes the objects on the basis of shapes, and other observable properties.  - Create patterns using shapes using tangram pieces
 * To intuitively think about objects around their surroundings and gets a qualitative feel for their geometrical attributes