Math Unit #3 - Algebra Equations

This unit taught me how to solve different equations with different things in it, and finally, all in one equation, it also taught me inequations which was something I didn't know. It helped me practise solving algebraic equations. By now, after this unit, I feel like I can do an algebraic equation very very quickly. As I do more and more of them, I realise that I finally understand and became familiar with something I was a bit uncleared about before. This unit is useful, I learnt quite a few things from it, and it is a good practice and it allowed me to gain more understanding of algebra. In this unit, we learnt:

1. Inverse operations
2. Solving equations
3. Solving equations with pronumerals on both sides
4. Solving equations with grouping symbol
5. Formulae
6. Solving problems using equations
7. Graphing inequations
8. Solving inequations

• We learnt inverse operations in order to have a better understanding in solving equations.

• We learnt how to solve an equation using inverse operations.

• We learnt how to solve an equation with pronumerals on both sides.

• We learnt how to solve an equation with grouping symbols.

• We learnt how to substitute a numeral to a pronumeral to solve an equation.

• We learnt how to solve problems using equations.

• We learnt the four steps to do so solve problems using equations.

• We learnt how to form an equation and solve it by looking at a shape with different... like the below.

 

• We learnt what are inequations and how to graph them.

• We learnt how to solve an inequation.

Math Unit #2 - Patterns And Algebra

In this unit, parts of it are things that I knew already, and parts of them are new ways to calculate. This unit is also a good unit for me to practise to do algebras, and it helped me do algebra very quickly, and how to sometimes do it in less steps. In this unit, we learnt:

1. Vocabulary of algebra
2. Gathering like terms (combining like terms by adding and subtracting like terms)
3. Multiplying pronumerals
4. Indicies/exponents
5. Expanding (multiplying with grouping symbols)
6. Factoring
7. Using algebra

• We learnt how to find patterns and how to use a pattern to solve an equation.

• We learnt 20 definition of algebra vocabularies.

• We learnt combining (adding and subtracting) like terms.

• We learnt how to group/multiply pronumerals.

(12)(3n)=36n   (3a)(bc)=3abc   (3a)a=3a²

• We learnt how to do division of pronumerals.

• We learnt multiplying and dividing pronumerals in one expression in order to simplify it.

• We learnt how to use algebra (like creating an expression for the perimeter of a square).

• We learnt what is a power, what is an exponent, and what is a base.

• We learnt six laws of indices (e.g. subtract the exponent if you are dividing two power with the same base).

• We learnt how to solve an expression with indices with a substitute. We learnt how to simplify multiplications into powers.

• We learnt how to expand and factorize an expression.

• We learnt algebraic fractions.