NA4-2: Understand addition and subtraction of fractions, decimals, and integers.
This means students will understand decimals as fractions, and be able to express decimals in fraction form and vice versa, for example 2.47 = 2 + 4 tenths + 7 hundredths (2 + 4/10 + 7/100 ), or 247 hundredths (247/100). They should solve addition and subtraction problems with decimals and with fractions (denominators must be related multiples), for example 13.2 – 5.79 = 7.41 and 3/4 + 7/8 = 13/8 = 1 5/8 by choosing appropriately from mental, machine and paper methods. Students should apply the strategies used for mental calculation with whole numbers to addition and subtraction of decimals, including standard place value, compensation after rounding, and applying inverse (reversing). Formal written algorithms for decimal addition and subtraction should be taught at Level Four after students have the place value knowledge required to understand them.
add and subtract integers using money context
Solve addition and subtraction problems with integers (positive and negative numbers).
add fractions with related denominators.
add related fractions
show understanding of decimal place value
add and subtract decimals
use rounding to estimate a multiplication problem
finda percentage of a decimal number
- Perform addition with fractions.
- Know the idea of, and be able to construct, magic squares.
- Devise and use problem solving strategies to explore situations mathematically (be systematic).
order decimals to 3 decimal places
add and subtract decimals
- Understand that decimals are a kind of fraction.
- Add and subtract decimals to three decimal places.
- Find decimal values for fractions through practical modelling.
- Find equivalent fractions.
- Compare the size of fractions to order them.
- Find the difference between two fractions by subtraction.
- Add fractions.
- Find a fraction of a whole number amount.
order decimals to 3 decimal places
add and subtract decimal numbers
- Perform calculations with negative fractions.
- Devise and use problem solving strategies mathematically (e.g. be systematic, draw a picture).
Solve addition and subtraction problems with integers (positive and negative numbers).
Solve problems that involve adding and subtracting decimals.
add and subtract integers
- Understand everyday application of integers.
- Add and subtract positive and negative integers.
- Use models to explain why subtraction of a negative integer has a positive effect.
add and subtract integers
add and subtract integers
- Solve simple addition and subtraction equations involving integers.