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
- Apply number knowledge and strategies to bank statements and budget problems.
- Consider and apply protocols around the manageability of data collection and data safety.
- Use research information to inform an investigation.
- Determine appropriate variables and data collection methods.
- Design a survey format300
Using jumping the number line strategy to add decimal fractions (tenths and hundredths).
identify which graph best represents the data
use multiplicative strategies to calculate costs
add and subtract integers that are multiples of ten
add and subtract integers
adiing simple decimal numbers.
add and subtract integers
- Solve problems involving finding a fraction of a fraction, using a regional model.
- Understand that the language ‘of ‘ and ‘times’ is interchangeable.
- Notice, explain and generalise what is happening to the numbers in a multiplication algorithm.
- Record, respond to, pose and solve a range of fraction300
- Perform addition with negative numbers.
- Know the idea of, and be able to construct, magic squares.
- Devise and use problem solving strategies to explore situations mathematically (be systematic).
use rates to calculate exhange rates
find a percentage of a number
use multiplicative strategies to solve money problems
find the midpoint between two numbers
find the mean of two numbers
find the mean in a group of related numbers
analyse survey questions
interpret information from graphs
find percentages of numbers
use addition and subtraction to solve money problems
- Place value for decimals
- Addition of decimals using place value
- Write a decimal involving hundredths in expanded form, and vice versa.
- Shade decimal fractions.
- Identify digits in the hundredths column.
- Convert improper fractions involving hundredths to both a mixed number and a decimal.
- Add and subtract a hundredth from a number.
- Read a number line300
use a spreadsheet to calculate costs
find a percentage of a number
add decimals of one decimal place
- Identify a need and an opportunity.
- Research and develop a small business plan.
- Understand costs, including start up costs.
- Understand profit, credit and cashflow.
- Apply number skills to audit a business plan and cashflow.
- Compare profit with returns and explain variance.
- Understand how300
subtraction with integers
solve linear equations with decimal fractions
use appropriate forms of the equation to solve for x.
add and subtract related fractions
Solve problems that involve adding and subtracting decimals.