1. Algebra
Year 10, 2016
Day 1

2. Algebra Puzzles day 1 26 4 3

3. Algebra
What is algebra to you?

4. Algebra Give some examples of what you remember.
What does algebra look like to you?
Algebra
How do you feel about algebra?
When in life would you use algebra?
What would you like to know about algebra?
Terms used with algebra

5. Algebra
Algebra basics

6. Building the basics
Multiplication can be calculated in any order 2×3×4=6×4=24 2×3×4=2×12=24 2×2×2=2× 2 2 =2 3 =8 In algebra 𝑎×𝑏=𝑏×𝑎=𝑎𝑏 2×𝑎×4=8×𝑎=8𝑎 𝑐×𝑐×𝑐= 𝑐 3 2×𝑎×𝑏×𝑏=2𝑎 𝑏 2
Addition and subtraction =4× =2×3+3×8 In algebra 𝑎+𝑎+𝑎+𝑎=4𝑎 𝑏+𝑏+𝑡+𝑡+𝑡=2𝑏+3𝑡 5+𝑛+4+𝑛=9+2𝑛 3×𝑠+5=3𝑠+5

7. Building the basics Multiplication using algebra 4𝑧×2=4×𝑧×2=8𝑧
3𝑝𝑟×2𝑞=3×𝑝×𝑟×2×𝑞 =6𝑝𝑞𝑟
Using integers and variables
Positive x positive = positive
Negative x negative = positive
Positive x negative = negative
−4𝑎×3𝑏=−4×𝑎×3×𝑏=−12𝑎𝑏
Exponents in algebra 3𝑏×2𝑏=3×𝑏×2×𝑏=6 𝑏 2 𝑠 𝑡 2 ×4𝑠=𝑠×𝑡×𝑡×4×𝑠=4 𝑠 2 𝑡 2 𝑎 𝑏 2 ×3𝑎=𝑎×𝑏×𝑏×3×𝑎=3 𝑎 2 𝑏 2

8. Building the basics 5𝑎 𝑎 = 5×𝑎 𝑎 =5 12𝑏 6𝑏 = 2×6×𝑏 6×𝑏 =2
Simplifying Division 24 𝑑𝑖𝑣𝑖𝑑𝑒𝑑 𝑏𝑦 2 𝑐𝑎𝑛 𝑏𝑒 𝑤𝑟𝑖𝑡𝑡𝑒𝑛 𝑎𝑠 24÷2 𝑜𝑟 24 2 = 12×2 2 =12
Algebra uses the same skills
5𝑎 𝑎 = 5×𝑎 𝑎 =5
12𝑏 6𝑏 = 2×6×𝑏 6×𝑏 =2
14 𝑐 2 7𝑐 = 2×7×𝑐×𝑐 7×𝑐 =2𝑐
23 𝑦 2 2 𝑦 3 = 23×𝑦×𝑦 2×𝑦×𝑦×𝑦 = 23 2𝑦