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.
Solve addition and subtraction problems with integers (positive and negative numbers).
- Solve addition problems with whole numbers by adding in parts.
- Solve addition problems with decimnal numbers by adding in parts.
- Use equal addition strategies to insert numbers to balance addition equations.
- Use equal addition strategies to insert numbers and letter symbols to balance300
Solve problems that involve adding and subtracting decimals.
- Identify a utility need or opportunity within the school and plan a response .
- Create a design incorporating key attributes identified.
- Investigate quality and comparative costs of possible construction materials.
- Cost ‘fit for purpose’ construction materials and prepare a budget.
- Draw plans300
- Understand and describe proportion using the language of mathematics.
- Understand the principles of scale.
- Create scale drawings.
- Calculate scale dimensions.
- Make accurate metric length measurements.
- Understand that the value of the scale factor of a reduction is less than 1 and for an enlargement is300
use addition to sovle money problems
use multiplication and division to solve problems
find percentage of a number
solve problems involving ratios
find fraction of a number
multiply decimals with multiples of ten
operate on fractions and decimals
find fractions of money amounts
add money amounts
find a percentage of a decimal number
solve addition and subtraction problems
compare prices by using proportions
solve addition and subtraction problems involving integers
Addition and subtraction of fractions with unlike denominators
convert unlike units in order to add and subtract them
Use compatible numbers to solve addition problems with decimal fractions (tenths) (Exercises 1-5)
Use compatible numbers to solve subtraction problems with decimal fractions (tenths) (Exercise 6)
- Use their mathematical knowledge to invent problems.
- Solve other students' problems.
- Name the fraction for a given Cuisenaire rod with reference to one (whole).
- Give the relationship between one Cuisenaire Rod and another, especially when one rod is a fraction of the other.
- Add and subtract fractions by expressing fractions as equivalents with the same denominator.
- Order fractions300
find fractions of time
calculate average speed
interpret timetable
add and subtract decimals
add decimal numbers
order decimals to 2 decimal places
find decimal addition pairs
Solve addition and subtraction problems involving decimal tenths.