NA4-3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.
This means students will understand that finding a decimal or percentage of an amount involves finding a fraction of that amount, for example 40% of 56 = 0.4 x 56 = 4 x 5.6 = 22.4. They should be able to solve problems of the form a/b x c = d (a,b,c and d are whole numbers), where any one of the numbers is not known, for example 4/7 x = 24 (Four-sevenths of what number is twenty-four?) or % of 76 = 19 (What percentage of seventy-six is nineteen?). Students should be able to multiply fractions with understanding, for example 2/3 x 3/5 = as two-thirds of four-fifths, and use their multiplicative understanding of place value to solve multiplication and division problems with simple decimals, for example 1.6 x 0.4 = as 16 x 4 ÷ 100 = 0.64 and 24 ÷ 0.3 = as 24 ÷ 3 x 10 = 80.
find decimal fractions of whole numbers
find a fraction of a whole number
- 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
find fractions of a whole number
find a percentage of a whole number
find percentages
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
- Students will be able to create a model of the “whole” of a specific length of time and use a meaningful scale to illustrate fractions within that length of time.
- Students will be able to demonstrate an understanding of the mathematical relationships between of units of time.
find fractions of a number
find fractions of money amounts
add money amounts
- Apply the properties of 3-D shapes to solve a problem.
- Visualise 3-D objects.
- Devise and use problem solving strategies to explore situations mathematically (be systematic).
order whole numbers
find a percentage of a whole number
find a percentage of a decimal number
solve addition and subtraction problems
compare prices by using proportions
order fractions
- Calculate the cost of hiring a taxi, hiring a car, and using a phone, and the cooking time for meat.
- Compare the costs of different plans.
- Represent linear relationships using graphs.
- Use graphs to make decisions about the best deal.
find percentages of whole numbers
find fractions of whole numbers
calculate the interest rate on money deposits
find fractions, decimals, percentages of a whole number
know equivalent fractions, decimals and percentages
- 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