**The books are printed one sided and the blank page is for notes, to practice problems and to write mathematics.**

Practice all solved examples yourself. It is the best way to test if you can recall the key concepts used in each example. Mathematics is a contact sport.

**CONTENTS: **

- Brief History of Mathematics
- Lesson on place value and absolute value using the decimal system. Use another number system to highlight why the decimal system used today is effective and efficient.
- About the evolution of the number system, names of groups of numbers, zero and its place in the number system.
- Natural Numbers
- Operations on Numbers +, – , x, ÷
- Whole Numbers, Integers
- Rational numbers and Irrational numbers.
**Real numbers**?- Why we use Geometry and the Real line.
- Explain Division using Geometry. Present short division
- Division by zero.
is not possible. Why?__DIVISION BY ZERO__ - Decimal representation of Rational numbers using short division; What is a Repeating Decimal? What is a Terminating Decimal?
- Story of Pythagoras to present how irrational numbers evolved.
**Exponents:**What is an exponent. Why exponents are useful.- Summary and Review of the Real Number system.

** ****CHAPTER 2 & 3**

- What is a mathematical system?
- Demonstrate the Elegance of Mathematics using a word problem: Find the sum of the first 10 natural numbers.
- Explain what are opposite numbers; the sign rules for multiplication using the number line to help students understand.
- What is Arithmetic? What is Algebra? Demonstrate the
**transition from Arithmetic to Algebra**. - Reciprocal of a number. Relate Division and Reciprocal
- Square of a Real Number and Square Root of a Real Number.
- Exponents. Rules for exponents with explanations
- Summarize Chapters 2 & 3.

**Memorize the multiplication Tables. ****A video is attached.**