End of Key Stage 3 Assessment
Intent
The intention of this unit is to consolidate key concepts covered in Year 7, 8 and 9 whilst also setting students up for new concepts in the key stage 4 curriculum.
The areas of the key stage 3 curriculum that are consolidated are
Manipulation of fractions
Accurate drawing
Factors, multiples and primes
Standard form, powers and roots
Algebraic manipulation with brackets
Presenting and interpreting data in charts
The new concepts in this unit that foreshadow Key Stage 4 are
Angle reasoning with circles leading to Circle Theorems
Manipulation of surds
Recognition and features of non-linear graphs
Implementation
To prepare students for Key Stage 4 this unit of work covers three terms with a period of revision before a substantial assessment in term 6.
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. The content of the knowledge checks updates as more concepts are covered, to provide a rolling check of what students can recall.
During this unit there will also be several longer written homework tasks which include a knowledge check as well as problem solving questions. Students will have an opportunity to follow-up and improve their work on these homework tasks.
Impact
The impact of this unit of work will be measured through a Three 45 minute written assessments in term 6
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 tests.
A shorter mid-term assessment in term 5 provides students with a indication of their progress with the unit. Students can use their feedback from the min-term to prepare for the assessments at the end of the unit.
Topics covered in this unit:
Star / Star*
17s Know mathematical names for 2D shapes including special quadrilaterals and triangles
13n Rounding to whole numbers, 10s, 100s, 1000s
22n Use a written method of division (no remainders)
15s Measuring lines accurately and understand and use the terms horizontal, vertical and diagonal
16s Recognise and label parallel and perpendicular lines
18s Use a compass to draw a circle of a given radius or diameter
Core
10n Writing the fraction of a shape that is shaded and diagrams of equivalent fractions
19n Cancelling fractions down to lowest terms
17n Writing one number as a fraction of another
25n Find a fraction of an amount
29n Converting between fractions and mixed numbers
68n Adding or subtracting mixed numbers
48n Find a fraction of a fraction and multiply Fractions
69n Multiplying or dividing mixed numbers
28s Measure and draw angles accurately (including obtuse and reflex angles)
45s Reading and using bearings
38s Using map scales and making a scale drawing
47s Drawing plans and elevations of 3D shapes
43s Construct triangles and nets using ruler, protractor and compass
58s Know the ruler and compass constructions for perpendicular lines and bisectors
59s Use a perpendicular to find the shortest distance from a point to a line
56s Use ruler and compass to construct loci according to a list of instructions
40s Know the properties of diagonals of special quadrilaterals
23n Use a written method of multiplication with 2/3 digit whole numbers
11n Recognising which operation is required for a word problem
37n Multiplying and dividing integers
35n Find the HCF by listing factors or LCM by listing multiples
33n Evaluating powers and roots and identifying square or cube numbers
36n Identify prime numbers and checking if a number is prime
46d Sort sets of numbers into a Venn diagram
61d Use set notation including {},A´, Ø, ∩ and U to refer to Venn diagrams
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
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
74n Add, Subtract, Multiply or Divide numbers in standard form without a calculator
32a Solve equations formally by using 1/2 inverse operations
48a Solve equations with x on both sides and solving inequalities by algebraic manipulation
42a Solve equations with brackets
51a Expand and simplify expressions with multiple single brackets
53a Factorising into single brackets
52a Expand and simplify pairs of brackets
56a Factorising quadratic expressions (unitary coefficient of x²)
63a Solving quadratic equations by factorising (unitary coefficient of x²)
21s Calculating lengths of time and converting between hours, minutes and seconds
37s Reading timetables and using them to plan journeys
22s Reading scales on measuring instruments and deciding appropriate metric units for a measurement
25s Plotting and reading coordinates in all 4 quadrants
46s Work out the midpoint between two coordinates
39a Plotting graphs of straight lines including horizontal and vertical lines
62a Plotting graphs of non-linear quadratic, cubic or reciprocal functions
67a Reading roots or solutions from intercepts of graphs of non-linear functions
68a Reading roots or solutions from intersections of graphs of linear or non-linear functions
49d Draw and read from tables and line graphs for time series data
48d Read and interpret pie charts including working out fractions or totals for each category
58d Calculate the angles and draw a pie chart from data in a table
51d Draw a scatter graph, comment on correlation and use a line of best fit to make estimates
69d Explain that correlation does not imply causation in a given context
59d Calculate the mean, mode or median from a frequency table
63d Calculate the mean from a grouped frequency table
71d Find the combined mean of two sets of data or calculate a new mean when extra data is added
Plus / Plus+
81n Converting between recurring decimals and fractions
75s Use three circle facts to calculate angles
80s Calculate angles using five circle theorems and provide full geometric arguments
92s Provide algebraic proof of the circle theorems
75n Estimate powers of a given number and roots of positive numbers up to 15² or 10³
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
84n Evaluate fractional negative powers of fractions or mixed numbers
82n Simplifying surds by taking out square factors
83n Estimate roots of any given positive number by first simplifying surds
87n Expanding pairs of brackets containing surds
86n Rationalising the denominator when the denominator is a single surd
93n Rationalising the denominator by multiplying by a conjugate expression
84a Expanding and simplifying three or more brackets
80a Factorise quadratic expressions with a non unitary coefficient of x²
75a Know the quadratic formula and use it to solve quadratic equations
76a Solve quadratic equations that require rearranging first or arise from geometry problems
76s Apply Pythagoras' theorem to 3D diagrams or to find the distance between two coordinates
95a Completing the square to locate the vertex of a parabola
92n Give solutions to a quadratic equation in exact surd form eg solving by completing the square
88a Recognise or form the equation for a circle around (0,0)
90s Recognise the graphs of Sin, Cos and Tan including intercepts and max / min values
89d Calculate and interpret the gradient or equation of a line of best fit
