Unit 11 Number

Intent

The intention of this unit is to consolidate knowledge from Key Stage 3 and to revise and refresh concepts that will underpin the End of Key Stage 3 Assessment and future Assessments in Key Stage 4 .

We want all student to become keen problem solvers and agile mathematical reasoners. This unit in particular develops these skills with:

  • Reasoning with money, percentage profit or loss and interest in savings accounts

  • Solving problems with a combination of fractions, percentages and ratio

Implementation

For each strand in the unit students begin with lessons refreshing Year 7&8 knowledge before new concepts are introduced. At the end of each strand there are revision and mastery lessons to consolidate and ensure all students have picked up on new ideas.

From the 3rd week of the unit students will complete a weekly knowledge check so they can measure how their knowledge and expertise is building before the test.

During this unit there will be two longer written homework tasks which include a skills check as well as problem solving questions. Students will have an opportunity to follow-up and improve their work.

Impact

The impact of this unit of work will be measured through a 45 minute written assessment. The assessment will feature questions similar to the skills check and homework tasks. The assessment will cover every aspect of the unit of work and using the knowledge organiser together with this website is a great way to prepare for the test.

Topics covered in this unit:

Core

51n Increase or decrease an amount by a percentage and calculate simple interest

65n Calculate compound interest using repeated percentage change

66n Writing a change as a percentage

67n Using percentage multipliers for change and understand the effect of multiplying by numbers above or below 1

38n Converting between decimals and percentages (and to fractions)

45n Converting fractions to percentages or decimals using equivalent fractions, or division on a calculator

52n Putting fractions, decimals and percentages in order

56n Converting fractions to terminating decimals or percentages by short division

49n Add or Subtract Fractions

48n Find a fraction of a fraction and multiply Fractions

50n Divide Fractions

33n Evaluating powers and roots and identifying square or cube numbers

44n Using a calculator correctly with powers, roots and division

47n Using the three index laws with whole numbers

57n Converting large numbers to and from standard form

63n Converting small numbers to and from standard form

64n Calculate with numbers in standard form using a calculator

32n Use a written method to multiply decimals

31n Adding integers

34n Subtracting integers

37n Multiplying and dividing integers

35n Find the HCF by listing factors or LCM by listing multiples

39n Use HCF or LCM in context

36n Identify prime numbers and checking if a number is prime

53n Write a number as a product of primes using a factor tree and know that this product is unique

54n Using a Venn diagram with prime factors to evaluate HCF of bigger numbers

55n Using a Venn diagram with prime factors to evaluate LCM of bigger numbers

58n Rounding to significant figures

40n Share a quantity in a two part or three part ratio

41n Solve ratio problems without the original amount

42n Solve proportion problems by a unitary method

60n Adjust a recipe or check it there are enough ingredients to make a given number

43n Comparing value for money by finding the cost of comparable amounts and work with unit prices

59n Solving problems using a combination of percentages, fractions and ratio

46n Use an exchange rate to convert between currency