Induction Unit
Intent
The intention of this unit is to refresh and secure mathematical knowledge from Key Stage 2 that will underpin the new concepts to be covered in Key Stage 3.
Implementation
Each lesson of this short unit will remind students of key mathematical knowledge from Key Stage 2. Students will have opportunities to display what they know already and consolidate concepts.
Impact
At the end of the unit students will sit two 45 minute written test papers which which will check on the full range of their Key Stage 2 knowledge. Teachers will use this information to guide their planning for the rest of the year to ensure that, where knowledge is secure they are quickly challenged with new ideas, and where there are gaps they get the support they need to fill these in over the course of the year.
Topics covered in this unit:
Star / Star*
9n Times table knowledge up to 10 and converting multiplication facts into division facts
11n Recognising which operation is required for a word problem
10n Writing the fraction of a shape that is shaded and diagrams of equivalent fractions
19n Cancelling fractions down to lowest terms
25n Find a fraction of an amount
10a Continue a repeating sequence of colours or shapes
15a Evaluating the output of one-step function machines
19s Reflect simple shapes in a mirror line or translate a shape on a grid
20s Draw all the lines of symmetry on 2D shapes
23s Area and perimeter of shapes made from 1 cm²
24d Read a pictogram for categorical data given a simple key
26d Draw a pictogram for categorical data, including deciding what key to use
Core
22n Use a written method of division (no remainders)
43n Comparing value for money by finding the cost of comparable amounts and work with unit prices
15n Find simple percentages of an amount like 50%, 25%, 10%, 5%, 1%
26n Finding any percentage of an amount by combining simple percentages
52n Putting fractions, decimals and percentages in order
20a Evaluate letters in place of numbers
34a Using BIDMAS to evaluate numerical expressions (without powers and roots)
13a Continuing arithmetic sequences
26a Recognise and continue sequences of patterns or diagrams
27s Calculate the area and perimeter of a rectangle
33s Calculate the perimeter of compound shapes
35s Calculate the area of a parallelogram or a triangle
39s Calculate the area of a compound shape
26s Use the sum of angles at a point or on a line or vertically opposite to calculate angles
32s Know and use the sum of angles in a triangle or quadrilateral to work out angles
Plus / Plus+
35n Find the HCF by listing factors or LCM by listing multiples
27n Simplifying ratios and identifying fractions from ratios
40n Share a quantity in a two part or three part ratio
42n Solve proportion problems by a unitary method
59n Solving problems using a combination of percentages, fractions and ratio
29n Converting between fractions and mixed numbers
68n Adding or subtracting mixed numbers
27a Substitute positive whole numbers into simple expressions or formulae and evaluate
32a Solve equations formally by using 1/2 inverse operations
51n Increase or decrease an amount by a percentage and calculate simple interest