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ALGEBRA - 1Year 10
ALGEBRA PUZZLES DAY 1
26
• 3
4
Algebra
What is algebra to you?
Algebra
What does
algebra look like
to you?
Give some examples
of what you
remember.
How do you feel
about algebra?
What would you like to
know about algebra?
When in life
would you use
algebra?
Terms used with
algebra
ALGEBRA - 1Algebra basics
BUILDING THE BASICSMultiplication can be calculated in any order2 × 3 × 4 = 6 × 4 = 242 × 3 × 4 = 2 × 12 = 24
2 × 2 × 2 = 2 × 22 = 23 = 8
In algebra𝑎 × 𝑏 = 𝑏 × 𝑎 = 𝑎𝑏
2 × 𝑎 × 4 = 8 × 𝑎 = 8𝑎𝑐 × 𝑐 × 𝑐 = 𝑐3
2 × 𝑎 × 𝑏 × 𝑏 = 2𝑎𝑏2
Addition and subtraction5 + 5 + 5 + 5 = 4 × 5
3 + 3 + 8 + 8 + 8 = 2 × 3 + 3 × 8
In algebra𝑎 + 𝑎 + 𝑎 + 𝑎 = 4𝑎
𝑏 + 𝑏 + 𝑡 + 𝑡 + 𝑡 = 2𝑏 + 3𝑡5 + 𝑛 + 4 + 𝑛 = 9 + 2𝑛3 × 𝑠 + 5 = 3𝑠 + 5
BUILDING THE BASICS
Multiplication using algebra4𝑧 × 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 algebra3𝑏 × 2𝑏 = 3 × 𝑏 × 2 × 𝑏 = 6𝑏2
𝑠𝑡2 × 4𝑠 = 𝑠 × 𝑡 × 𝑡 × 4 × 𝑠 = 4𝑠2𝑡2
𝑎𝑏2 × 3𝑎 = 𝑎 × 𝑏 × 𝑏 × 3 × 𝑎 = 3𝑎2𝑏2
PRACTICE PROBLEMS
• Work through all 3 levels.
• Basic algebra skills practice -Transum
ALGEBRA – 2Year 10 do now puzzle
ALGEBRA PUZZLES DAY 2
28
4
30
BUILDING THE BASICS
Simplifying Division
24 𝑑𝑖𝑣𝑖𝑑𝑒𝑑 𝑏𝑦 2 𝑐𝑎𝑛 𝑏𝑒 𝑤𝑟𝑖𝑡𝑡𝑒𝑛
𝑎𝑠 24 ÷ 2 𝑜𝑟24
2=12 × 2
2= 12
Algebra uses the same skills
5𝑎
𝑎=5 × 𝑎
𝑎= 5
12𝑏
6𝑏=2 × 6 × 𝑏
6 × 𝑏= 2
14𝑐2
7𝑐=2 × 7 × 𝑐 × 𝑐
7 × 𝑐= 2𝑐
23𝑦2
2𝑦3=
23 × 𝑦 × 𝑦
2 × 𝑦 × 𝑦 × 𝑦=23
2𝑦
ALGEBRA SKILLS
•Man vs Maths algebra worksheets Here
• Khan academy for help here