Year 7 curriculum
Decimals

Multiply and divide decimals using efficient written strategies and digital technologies

Round decimals to a specified number of decimal places

Connect fractions, decimals and percentages and carry out simple conversions
Assumed knowledge:
Basic whole number operations
Understand there are quantities between 0 and 1
Recognise the place value system can be extended beyond hundredths
Compare, order and represent decimals
Fractions/decimals to thousandths
Add and subtract decimals
Round and estimate with decimals
Multiply and divide by powers of 10
Common misconceptions:
Not understanding place value (e.g. 1.8 < 1.15)
1.2*10 = 1.20
12.3 + 1.21 = 2.44
1.1 * 1.3 = 14.3
Students see $1.20 as “one dollar and 20 cents” rather than “1.2 dollars”
Multiplying makes things bigger
Key terminology:
Place value
Tenths
Hundredths
Thousandths
Decimal place
Rounding
Key understanding:
????
Key skills:
Order decimal numbers to at least thousandths.
Order a mix of decimals and whole numbers (e.g. 2.12, 10.652, ect.)
Add and subtract decimal numbers without technology to at least thousandths with
a mix of decimal lengths (e.g. 1.23+4.1, 18.2 + 3.23)
Short multiplication and division without a calculator to at least thousandths.
Multiply and divide decimals by factors of 10 using efficient strategies (not long
division/multiplication)
Solve decimal operations in real word contexts (word problems) avoiding dollars
and cents.
Recognise that multiplying by a number smaller than 1 will lead to a smaller result
that the initial value. [e.g. I multiply 6 by a number between 0.5 and 0. A possible
answer could be: A) 15, B) 8, C) 6 D) 4 E) 2]