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