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 students 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:
Star / Star*
15n Find simple percentages of an amount like 50%, 25%, 10%, 5%, 1%
26n Finding any percentage of an amount by combining simple percentages
10n Writing the fraction of a shape that is shaded and diagrams of equivalent fractions
17n Writing one number as a fraction of another
19n Cancelling fractions down to lowest terms
25n Find a fraction of an amount
29n Converting between fractions and mixed number
12n Use a written method for subtracting 2/3/4 digit numbers
22n Use a written method of division (no remainders)
11n Recognising which operation is required for a word problem
13n Rounding to whole numbers, 10s, 100s, 1000s
14n Multiplying or dividing by 10, 100 or 1000
23n Use a written method of multiplication with 2/3 digit whole numbers
21n Identify the place value of a digit in a decimal number
24n Put decimals in order and round to decimal places
30n Estimate answers by rounding including word problems
27n Simplifying ratios and identifying fractions from ratios
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
38n Converting between decimals and percentages (and to fractions)
52n Putting fractions, decimals and percentages in order
56n Converting fractions to terminating decimals or percentages by short division
48n Find a fraction of a fraction and multiply 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
37n Multiplying and dividing integers
35n Find the HCF by listing factors or LCM by listing multiples
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
Plus / Plus+
70n Calculate compound interest using a percentage multiplier
71n Reverse percentage change using a multiplier (or otherwise)
68n Adding or subtracting mixed numbers
69n Multiplying or dividing mixed numbers
72n Evaluate negative powers or reciprocal of whole numbers
77n Evaluate 1/n fractional powers of whole numbers
79n Evaluate positive or negative fractional powers of whole numbers
74n Add, Subtract, Multiply or Divide numbers in standard form without a calculator
61n Dividing by decimals using an equivalent calculation and short division
62n Use inequalities to specify error due to truncation or rounding
76n Stating the upper and lower bounds of a rounded number or measurement
80n Calculating an upper or lower bound for xy or x/y
73n Solve hard ratio problems involving combining two or more ratios