Introduction to algebra

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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Concept Map

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Additional Information

Reference Books

http://ncert.nic.in/NCERTS/textbook/textbook.htm?femh1=11-14

Teaching Outlines

Concept #1 Algebraic thinking - Abstraction

Learning objectives

1. To make meaning from patterns
2. Able to extend patterns
3. Able to state observed pattern in generalized terms
4. Generalization; and stating in algebraic terms
5. Algebraic variables can be “x” or “y” or “a” of “b”
6. Combining algebraic terms – commutative and distributive properties
7. Making simple expressions (addition, subtraction of multiple algebraic terms)
8. Introduction to terminology called monomial, binomial, etc.

Notes for teachers

Abstraction is generalizing the thinking. So here will focus on activities to build skills of generalization.

Activities

1. Activity 1 - Match stick abstraction
2. Activity 2 - More Match sticks!!

Concept #2 Algebraic thinking - Arithmetic Abstraction

Activities

1. Activity 1 - Play with numbers
2. Activity 1 - Play with more numbers

Concept #3 Algebraic thinking - Forming expression

Activity No #

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Concept #4 Algebraic thinking - Manipulating algebraic expressions

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Math Fun

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