AC9M6A02Year 6AlgebraPractised on site

AC9M6A02 — Year 6 Algebra

Official Curriculum Content Description:

find unknown values in numerical equations involving brackets and combinations of arithmetic operations, using the properties of numbers and operations

Worked Examples (2)

Example 1Order of Operations
Calculate: 12+14×212 + 14 \times 2.
Common mistake: Evaluating left-to-right instead of following BODMAS precedence rules.
Correct Answer:4040
Worked Solution:
According to order of operations (BODMAS), multiplication takes priority over addition: 14×2=2814 \times 2 = 28, then 12+28=4012 + 28 = 40.
Example 2Equations with Brackets & Combined Operations
Find the unknown value represented by □\square in the equation: 4×□−1=394 \times \square - 1 = 39.
Common mistake: Operated on one side only or reversed the order of inverse operations
Correct Answer:1010
Worked Solution:
1. Add 1 to both sides to isolate the multiplication: 4×□=39+1=404 \times \square = 39 + 1 = 40 2. Divide both sides by 4: □=40÷4=10\square = 40 \div 4 = 10

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