Algebra unit 2 chapter 6-7

Algebra

We start our first lesson about algebra at 14/10/14 in chapter 6 and 7. Algebra is the use of pronumerals or letter to represent number in solving problems. We also learn about algebra expression, variable, coefficient, constant and more.

Chapter Contents

6:01 Patterns and Rules review
6:02 Addition and Subtraction of like terms
6:03 Multiplication of pronumerals
6:04 Division of pronumerals
6:05 Multiplication and division of pronumerals
6:06 Using Algebra
6:07 Index notation
6:08 Grouping symbols
6:09 Factorising
6:10 Algebraic Fraction

7.01 Inverse Operation

7.02 Solving Equations 

7.03 Equations with pro numerals in both sides

7.04 Equations and Grouping Symbols

7.05 Formulae

7.06 Solving Problems using equations

7.07 Graphing inequation 

7.08 Solving Inequations

Then in 6:09 we learn about factorizing for classwork 6

Example: 2y + 6: 2 x y + 2 x 3 => 2 (y + 3)

We also learn about equation

# Solving equation is like balancing scales

# With equations we know that one side is equal to the other

Example: a + 7 : 10

                 a + -7 : 10 – 7

                 a + 0 : 3 => a : 3

After that we learn about inequation

# inequations have more than one solution

# an iquation is an open mathematical sentence where the ‘equal’ sign has been replaced by an inequallity sign.

# when solving inequation, we use the same rules as for equation. But when multiplying or divide an equation by a negative number, the inequality si muxt be reverse.

Example: x > 4

   

                x < 4-2 =) x< -8

Then we have been given a task to make a report about mathematics challenge in chapter 6:10. It's about expanding pronumerals product. 

Observation