FOUNDATION
Y10
UNIT: N1 - Integers
TIME ALLOCATION: 5 Lessons
PRIOR KNOWLEDGE
 Understand the four rules
of number
 Understand place value
 Understand the inequality
signs
 Know the meaning of sum
and product
 Change a decimal into a
fraction
 Change a mixed number
into a top-heavy fraction
AUTUMN TERM
KEY WORDS
Counting number, positive
number, negative number,
Integer, directed number,
less than, greater than, sum,
product, factor, multiple,
lowest common multiple,
common factor, highest
common factor, prime
number, index notation,
reciprocal
LEARNING OBJECTIVES
G-F
 Understand and use positive and negative
integers, both as positions and translations
on a number line
 Order integers
 Find the factors of a number
 Add and subtract negative integers
E-D
 Multiple and divide negative integers
C
Target boards
Bingo
Five in a row
Types of number bingo (‘101
red hot maths starters –
Letts)
RESOURCES/ACTIVITIES/ICT
Activities:
Card sort in a two way table. Match numbers
against type of number criteria.
ICT:
Resources:
Success For All: N8, N9
www.bbc.co.uk/education/mathsfile
Game - Builder Ted, Grid Game
www.mathematics.hellam.net
Mathematical matches, sets of number.
Game – Number cruncher, multiples
www.active-maths.co.uk/whiteboard
Secondary 11-16, Integers, Powers and Roots
www.illuminations.nctm.org
The Factor Game
 Recognise prime numbers
 Find the reciprocal of a number
 Find the least common multiple of two
simple numbers
 Find the highest common factor of two
simple numbers
 Write a number as a product of its prime
factors
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA: game of 31 (level2)
PLENARIES/KEY QUESTIONS
STARTER
Y10
FOUNDATION
AUTUMN TERM
UNIT: N2 - Powers and Roots
TIME ALLOCATION: 4 Lessons
PRIOR KNOWLEDGE
 Understand the idea of
square numbers
 Understand the idea of
reciprocals
 Basic use of algebra
KEY WORDS
Square number, cube number,
square root, cube root, index,
power, exponent, indices
LEARNING OBJECTIVES
G-F
 Calculate squares and square roots (with
and without the use of a calculator)
E-D
 Use the terms square, positive square root,
negative square root, cube and cube root
 Use index notation for squares, cubes and
powers of ten
 Estimate square roots
 Recall integers facts from 2X2 to 15X15
and the corresponding square roots
 Recall the cubes of 2, 3, 4, 5 and 10
C
Card sort match
squares/cubes and their
roots
RESOURCES/ACTIVITIES/ICT
Activities:
Prisoner Lock up Problem.
A prison has 25 prisoners (one in each cell)
and 25 jailers. The cells are numbered 1-25.
The jailers go to a party one night and return
very merry. The first jailer unlocks every
cell, the second jailer locks every cell that is
a multiple of 2, the third jailer turns the key
in the lock for cells whose numbers are
multiples of 3 and so on until the twentyfifth jailer. All the jailers fall asleep and the
prison is silent. The prisoners all try their
doors – which ones escape?
Match cards that show numbers with cards
that show calculations and calculator displays
in standard form. Alternatively, the cards
might show the same calculation written in
different ways.
ICT:
Use excel to estimate roots
Resources:
Success For All: N4
www.mymaths.co.uk
Square and cube matching game
 Calculate cubes and cube roots (with and
without the use of a calculator)
 Use calculators effectively and efficiently,
know how to enter complex calculations and
use the function keys for reciprocals,
squares and powers
 Use index laws for multiplication and
division of integer powers
 Express standard index form both in
conventional notation and on a calculator
display
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA: codes (level2)
PLENARIES/KEY QUESTIONS
STARTER
Y10
FOUNDATION
AUTUMN TERM
UNIT: N3 - Fractions and Ratio
TIME ALLOCATION: 4 Lessons
PRIOR KNOWLEDGE
 Using the four operations
 Ability to recognise
common factors
 Knowledge of fractions
KEY WORDS
Compare, ratio, simplify,
shared, scales, proportion
LEARNING OBJECTIVES
G-F
 Understanding equivalent fractions;
simplifying a fraction by cancelling all
common factors
 Ordering fractions by rewriting them with
a common denominator
 Using ratio notation, including reduction to
its simplest form and its various links to
fraction notation
E-D
 Solving word problems about ratio and
proportion, including using informal
strategies and the unitary method of
solution
 Dividing a quantity in a simple ratio
C
 Dividing a quantity in a given ratio including
Dominoes
Loop cards
RESOURCES/ACTIVITIES/ICT
Activities:
Fraction walls, identify odd one out, place
fraction cards in order.
Use of sweets to divide in a given ratio.
ICT:
Resources:
Success For All: N6
www.active-maths.co.uk/whiteboard
Secondary 11-16, Fractions, decimals,
percentage, ratio and proportion
www.mymaths.co.uk
Fraction pairs matching game
www.mathematics.hellam.net
Equivalent Fractions, Fraction switch
a:b:c
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA Hair Salon (level 1)
AQA Internet Advertising (level 2)
AQA – Steep Hill Road Signs (level 1)
AQA: coffee (level2)
AQA: gold (level2)
PLENARIES/KEY QUESTIONS
STARTER
FOUNDATION
Y10
UNIT: N4 - Mental Methods
TIME ALLOCATION: 6 Lessons
SPRING TERM
PRIOR KNOWLEDGE
KEY WORDS
 The ability to order numbers
 Appreciation of place value
 Experience of the 4 operations
using whole numbers
 Knowledge of integer
complements to 10
 Knowledge of multiplication
facts to 10  10
 Knowledge of strategies for
multiplying and dividing whole
numbers by 10
Round, significant figures,
decimal places, estimate,
upper bound, lower bound
LEARNING OBJECTIVES
G-F
 Recall all positive integer complements to
100
 Round to the nearest integer
 Understanding place value and round to a
given power of 10
 Round to a given number of decimal places
 Estimate answers to problems involving
decimals
STARTER
Bingo (www.topmarks.co.uk)
Four in a row on grids
Target boards
RESOURCES/ACTIVITIES/ICT
Activities:
Sort cards into correct place on two-way
grid. Horizontally number of decimal places
0-3, vertically number of significant figures
0-3.
ICT:
Resources:
Success For All: N3
E-D
www.bbc.co.uk/education/mathsfile
 Round a number to one significant figure
Game – Rounding off
 Use a variety of checking procedures,
www.active-maths.co.uk/whiteboard
including the problem backwards, and
Secondary 11-16, Place value, ordering and
considering whether a result is of the right
rounding. Calculations: checking results
magnitude
 Understand the calculator display eg in
money calculations.
C
 Find minimum and maximum values
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
City & Guilds – Healthy Eating activity 1 (Level 2)
AQA: farm animals (level2)
AQA Internet Advertising (level 2)
OCR task 2: solar panels (level2)
OCR: Jan08: MP3 (level2)
PLENARIES/KEY QUESTIONS
FOUNDATION
UNIT: N5 - Calculations
TIME ALLOCATION: 6 Lessons
PRIOR KNOWLEDGE
 The ability to order
numbers
 Appreciation of place value
 Experience of the 4
operations using whole
numbers
Y10
SPRING TERM
KEY WORDS
Place value, sum, difference,
product, reciprocal
LEARNING OBJECTIVES
G-F
STARTER
Countdown
Speed grids
RESOURCES/ACTIVITIES/ICT
Activities:
Multiplication Mayhem (www.sln.org.uk/maths)
 Using standard column procedures for
Fill in missing numbers on cards, such as
addition and subtraction of integers
_ multiplied by 103 is_
Fill in missing operations by describing as
many operations as can to get from a start
number to a second number.
E-D
Give pupils a calculation and ask them to
 Multiply and divide integers
extend and develop it to find equivalent
 Multiplying or dividing any number by
calculations.
powers of 10, and any positive number by a
ICT:
number between 0 and 1
Use excel for place value chart. Discuss
multiplication that takes you from one column
entry to another. Use hide and reveal
C
techniques. Alternatively give four entries
 Understand reciprocal as multiplicative
and ask pupils to create whole chart.
inverse, knowing that any non-zero number
Resources:
multiplied by its reciprocal is 1.
Success For All: N2
 Use index laws to simplify and calculate
www.active-maths.co.uk/whiteboard
the value of numerical expressions involving
Secondary 11-16, Calculations: written
multiplication and division of integer
methods.
powers
Microsmile: Tenners
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA – Premium Bonds (level 1/2)
AQA: gold (level2)
AQA – Plastic codes (level 2)
AQA: energy labels (level2)
AQA - Radiators (level 1)
AQA Rainforest facts (level 1)
AQA - Speed check (level 2)
AQA: book club: (level2)
AQA – The World’s Population (level 1)
AQA: calendar (level2)
AQA – Transport Issues (level 1)
AQA: bricklaying (level2)
AQA – Unusual Measures (level 1)
AQA: Digital prints (level2)
PLENARIES/KEY QUESTIONS
Y10
FOUNDATION
SUMMER TERM
UNIT: N6 - Fractions
TIME ALLOCATION: 6 Lessons
PRIOR KNOWLEDGE
 Multiplication facts
 Ability to find common factors
 Understand numerator and
denominator
 A basic understanding of
fractions as being ‘parts of a
whole unit’
 Use of a calculator with
fractions
KEY WORDS
Fraction, numerator, denominator,
unit fraction, proper fraction,
improper or top heavy fraction,
mixed number or mixed fraction,
decimal fraction, equivalent
fraction, simplify a fraction or
express a fraction in its simplest
form
LEARNING OBJECTIVES
G-F
 Understanding equivalent fractions; simplifying a
fraction by cancelling all common factors
 Ordering fractions by rewriting them with a
common denominator
E-D
 Work out fractions of quantities, understand and
use unit fractions as multiplicative inverses
 Expressing a given number as a fraction of another
 Adding and subtracting fractions by writing them
with a common denominator
 Multiplying simple fractions
 Convert fractions to decimals
C
 Write an improper fraction as a mixed fraction
 Using a calculator to change fractions into decimals
and look for patterns
 Working with improper fractions and mixed
numbers
 Do calculations with simple fractions involving
division
Use a grid to shade fractions
of it. Alternatively show grid
shaded in various colours ask
pupils what fraction is
shaded.
RESOURCES/ACTIVITIES/ICT
Activities:
Use spider diagrams to list equivalent
fractions. Use fraction walls, pupils can make
their own. Place cards with fractions on into
ascending or descending order.
Roll a dice twice. The first score is the
numerator the second is the denominator. Is
it proper/improper, give an equivalent
fraction, can it be simplified, does it give a
recurring decimal? How many different
fractions do the dice give?
ICT:
Resources:
www.active-maths.co.uk/whiteboard
Secondary 11-16, Fractions, decimals,
percentage, ratio and proportion
www.mymaths.co.uk
Game – Fraction Golf
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
City & Guilds – Healthy Eating activity 2 (Level 2)
AQA Hair Salon
OCR task 2: solar panels (level2)
PLENARIES/KEY QUESTIONS
STARTER
FOUNDATION
UNIT: N7 - Decimals
TIME ALLOCATION: 6 Lessons
PRIOR KNOWLEDGE
 The concepts of a fraction
and a decimal
 Add, subtract, multiply and
divide whole numbers
Y10
SUMMER TERM
KEY WORDS
Digit, integer, decimal,
numerator, denominator,
terminating decimal, recurring
decimal
LEARNING OBJECTIVES
G-F
 Using decimal notation and recognising that
each terminating decimal is a fraction
 Writing decimal numbers in order of size
E-D
 Rounding to a given number of significant
figures (and decimal places)
 Adding and subtracting mentally numbers with
up to two decimal places
 Using standard column procedures for addition
and subtraction of decimals
 Using standard column procedures for
multiplication of decimals, understanding where
to position the decimal point by considering
what happens if they multiply equivalent
fractions
 Estimating answers to problems, add and
subtract mentally numbers with up to 2 dp
 Understand and use the equivalents between
fractions, decimals and percentages
C
 Dividing by a decimal (up to 2 dp) by
transforming it to a problem involving division
using by an integer
 Recognising that recurring decimals are exact
fractions, and that some exact fractions are
recurring decimals
STARTER
Speed grids
RESOURCES/ACTIVITIES/ICT
Activities:
Some pupils out at the front of the class. Place
numbers on their back. Class arrange in order.
Pupils at front offer suggestions to what the
numbers could be.
Clouding the picture. For example, ask pupils to
complicate a central fraction in as many ways as
they can. Replace the centre number by decimals,
percentages or ratios.
ICT:
Resources:
Success For All: N1
www.active-maths.co.uk/whiteboard
Secondary 11-16, Fractions, decimals, percentage,
ratio and proportion
www.bbc.co.uk/education/mathsfile
Game – Saloon Snap
www.mathematics.hellam.net
Mathematical matches, fractions 1/2
Decimal challenge
OUP F+ Pages 38-39
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA – Nines (level 2) (R2-4, A2)
AQA – Premium Bonds (level 1/2)
AQA - Radiators (level 1)
AQA - Rainforest facts (level 1)
AQA - Shoe sizes (level 1/2)
AQA – Transport Issues (level 1)
AQA – The Solar System (level 2)
PLENARIES/KEY QUESTIONS
FOUNDATION
Y11
UNIT: N8 - Percentages
TIME ALLOCATION: 6 Lessons
PRIOR KNOWLEDGE
 4 operations of number
 The concepts of a fraction and a
decimal
 Number complements to 10 and
multiplication tables
 Awareness that percentages are
used in everyday life
AUTUMN TERM
KEY WORDS
STARTER
Percentage, numerator,
denominator, interest, principal,
rate, time, amount, balance,
deposit, discount, VAT,
depreciation, credit
LEARNING OBJECTIVES
Percentage bingo
Dominoes
RESOURCES/ACTIVITIES/ICT
Activities:
 Understanding the ‘percentage’ means ‘number Sorting activities. Sort a set of cards to make
of parts per 100’ and use this to compare correct calculations eg. 20 %of 90 = 30
Use spider diagrams to calculate different
proportions
percentages of a quantity.
 Change a percentage to a fraction or decimal
and visa versa
ICT:
G-F
E-D
Compare percentages, fractions and decimals
Work out a percentage of a given quantity
Calculate simple interest
Increase or decrease a quantity by a given
percentage
 Express one quantity as a percentage of
another




C
 Find a percentage increase/decrease, of an
amount
 Calculate compound interest for two, or more,
periods of time
 Calculate an index number
 Understand the multiplicative nature of
percentages as operators
Resources:
Success For All: N7
www.active-maths.co.uk/whiteboard
Secondary 11-16, Fractions, decimals, percentage,
ratio and proportion
www.mathematics.hellam.net
Percentage estimation
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA Heart Rate (level 2)
AQA Internet Advertising (level 2)
AQA – Nines (level 2)
AQA – Premium Bonds (level 1/2)
AQA - Rainforest facts (level 1)
AQA – Steep Hill Road Signs (level 1)
AQA – The World’s Population (level 1)
AQA – Transport Issues (level 1)
PLENARIES/KEY QUESTIONS
Y10
FOUNDATION
AUTUMN TERM
UNIT: N9 - Order of Operations
TIME ALLOCATION: 4 Lessons
PRIOR KNOWLEDGE
KEY WORDS
 Know multiplication tables
up to 10X10
 Be able to work out powers
of a number - 52
BIDMAS, brackets, square,
cube, power, index, reciprocal
LEARNING OBJECTIVES
G-F

E-D
 Understand simple instances of BIDMAS,
e.g. work out 12  5 – 24  8
C
 Be able to use a scientific calculator to
work out a complex expression
STARTER
Bingo
RESOURCES/ACTIVITIES/ICT
Activities:
Use a calculator to work out expressions
which give answers that are words.
Complete expressions with missing operations.
True/False statements
ICT:
Page 206 GCSE Foundation Book
Page 206 GCSE Foundation Plus
Resources:
Success For All: N5
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
Y10
FOUNDATION
AUTUMN TERM
UNIT: SSM 1 – Angles.
TIME ALLOCATION: 5 Lessons.
PRIOR KNOWLEDGE
Addition and subtraction of
whole numbers.
Simple fractions such as
quarter, half, third, etc.
KEY WORDS
Turn, Revolution, Acute, Right
angle, Obtuse, Reflex,
Straight line, Complete turn,
Perpendicular, Parallel,
Transversal, Alternate,
Corresponding, Bearing.
LEARNING OBJECTIVES
G-F




Recognise acute, obtuse, reflex and
right angles.
Estimate angles and measure them
accurately.
Use properties of angles at a point,
opposite angles at a vertex and angles
on a straight line.
Understand the terms ‘perpendicular
lines’ and ‘parallel lines’.
E-D


White boards.
Target boards.
Dominoes.
Pairing.
RESOURCES/ACTIVITIES/ICT
Activities
 Practical proof of ‘sum of the angles in
a triangle adding up to 180º’.
 ‘Simon says……….’.
 Practical activities with a compass on
the school field.
ICT


Active studio.
The Geometer’s Sketchpad.
Resources
Recognise corresponding angles and
alternate angles.
Understand and use three figure
bearings.
C
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
STARTER
Y10/11
FOUNDATION
TERM
UNIT: SSM 2 – Coordinates.
TIME ALLOCATION: 3 Lessons.
PRIOR KNOWLEDGE
Negative numbers and the
number line.
KEY WORDS
Coordinates, Origin, Axis
(axes), Horizontal, Vertical,
Gradient, Intercept,
Equidistant, Line segment,
Midpoint, Quadrant.
LEARNING OBJECTIVES
G-F


Use coordinates in the first quadrant,
such as plot the point (3, 2).
Use coordinates in all four quadrants,
such as plot the points (-3, 2), (2,-1)
and (-4,-5).
E-D



Draw lines such as x = 3, and y = x + 2.
Solve problems involving straight lines.
Draw lines such as y = 2x + 3.


Find the midpoint of a line segment.
Use and understand coordinates in
three dimensions.
Coordinate Bingo.
Axis and straws.
Coordinate Twister.
RESOURCES/ACTIVITIES/ICT
Activities
ICT




Smile programs.
The Geometer’s Sketchpad.
Autograph.
Omnigraph.
C
Resources
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
STARTER
Y10/11
FOUNDATION
TERM
UNIT: SSM 3 – Constructions.
TIME ALLOCATION: 4 Lessons.
PRIOR KNOWLEDGE
KEY WORDS
STARTER
To accurately draw a length and
an angle.
To be able to use a pair of
compasses accurately.
Bearings.
Properties of polygons and solids.
Ratios and scales.
Point, Radius, Arc, Protractor,
Intersection, Perpendicular,
Bisector, Diagonals, Construct,
Congruent, Equidistant, Net,
Hypotenuse, 2 dimensional, 3
dimensional, Vertices, Faces,
Edges, Prism and Pyramid, Scale.
The ‘flower’ compass starter.
LEARNING OBJECTIVES
G-F






Measure or draw a line to 1mm of accuracy.
Draw a circle given the radius or diameter.
Draw a line perpendicular to or parallel to a
given line.
Measure or draw an angle to 1º of
accuracy.
Draw a simple scale drawing e.g. a ladder
against a wall.
Draw an accurate net of a cube or cuboid.
E-D





Draw or measure a bearing from one place
to another, including reflex angles and use
two bearings to locate another point.
Use a map and scale to measure or find a
distance.
Draw accurate diagrams of 2D shapes,
including a rhombus, full size or to scale.
Construct triangles using ruler, compass and
protractor, including an equilateral.
Draw accurate nets of other solids e.g.
triangular prism, square based pyramid.
RESOURCES/ACTIVITIES/ICT
Activities
 Practical activities – opening out
various boxes.
 Making nets of solids.
ICT


Resources
C




Bisect a given angle. Bisect a given line.
Construct a perpendicular bisector.
Construct a perpendicular to a point on or
away from a given line.
Understand the significance of SSS, SAS,
ASA and RHS for constructing unique
triangles.
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA - Kitchen Design (level 1 / 2)
PLENARIES/KEY QUESTIONS
The Geometer’s Sketchpad.
My Maths.
Y10/11
FOUNDATION
TERM
UNIT: SSM 4 – Perimeter and area.
TIME ALLOCATION: 4 Lessons
PRIOR KNOWLEDGE
Multiply and divide one and
two digit numbers (including
decimals).
Find one half of a number.
Know how to measure lengths.
Nets of 3D shapes.
KEY WORDS
Shape, Polygon, Triangle,
Quadrilateral, Square,
Rectangle, Area, Perimeter,
Dimension, Rhombus,
Parallelogram, Trapezium,
Kite, Pentagon, Hexagon,
Octagon.
LEARNING OBJECTIVES
G-F




Find the perimeter of a shape by counting
sides of squares.
Find the area of a shape by counting
squares.
Estimate the area of an irregular shape by
counting squares and part squares.
Work out the perimeter and the area of a
simple rectangle such as 4cm by 6cm, with
units.
STARTER
Restricting area or
perimeter, see how many
rectangles you can find in 5
minutes.
RESOURCES/ACTIVITIES/ICT
Activities
 Practical – wrapping a present.
 Geoboards.
ICT

The Geometer’s Sketchpad.
E-D





Work out the perimeter and area of a
harder rectangle such as 2.6mm by 5.8mm,
with units.
Find the area of a triangle, parallelogram,
kite and trapezium.
Find the area of compound shapes,
including a hexagon.
Solve reverse perimeter and area
problems.
Find the surface area of cubes, cuboids,
simple prisms and pyramids (made of
triangles, rectangles and parallelograms).
Resources
 Success for all SS2, SS3 and SS4.
C
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA - Kitchen Design (level 1 / 2)
AQA: frames (level2)
PLENARIES/KEY QUESTIONS
Y10/11
FOUNDATION
TERM
UNIT: SSM 5 – Transformations.
TIME ALLOCATION: 6 Lessons.
PRIOR KNOWLEDGE
Be able to multiply by single
digits.
Coordinates and lines in all four
quadrants.
Accurate measuring skills.
KEY WORDS
Symmetry, Reflection, Rotational,
Translation, Enlargement,
Congruency, Similarity, Centre,
Origin, Clockwise, Anticlockwise,
Vector, Scale factor.
LEARNING OBJECTIVES
G-F







Recognise and draw on lines of symmetry.
Draw the reflection of a shape about a mirror
line, on cm grid by counting squares.
Draw all lines of symmetry for simple shapes
and polygons.
Find the line of reflection of two shapes in all
four quadrants.
Know the order of rotational symmetry for
simple shapes and polygons.
Complete shapes with one line and/or rotational
symmetry of order 2.
Give the scale factor of an enlarged simple
shape.
E-D







Reflect shapes in either axis.
Complete a pattern with rotational symmetry 4.
Enlarge a shape by a given scale factor on a cm
square grid and write down the dimensions of
the enlargement.
Compare areas of original and enlarged
rectangles.
Describe fully reflection and rotations.
Complete a reflection, rotation, translation or
enlargement of a shape accurately.
Know the reflection symmetry of 3D shapes.
Geoboards.
Pac Man translations.
Badger Y7, 8 & 9.
RESOURCES/ACTIVITIES/ICT
Activities
 Rangoli.
 Geoboards.
ICT





The Geometer’s Sketchpad.
Autograph.
My maths.
Active studio.
Smile – geometry.
Resources
o Success for all SS5 SS7 and SS8.
C
Rotate shape using a centre other than the
origin.
 Describe a translation using a translation vector.
 Describe reflections where the mirror line is
y=x.
 Enlarge a shape by a fractional scale factor.

FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
STARTER
Y10/11
FOUNDATION
TERM
UNIT: SSM 6 – 3D shapes.
TIME ALLOCATION: 6 Lessons.
PRIOR KNOWLEDGE
KEY WORDS
Draw lines accurate to 1mm.
Angle facts of 2D shapes.
Areas of rectangles, triangles
parallelograms and circles.
Cube, Cuboid, Prism, Pyramid,
Edges, Faces, Vertices, Vertex,
Cross section, Cylinder, Cone,
Sphere, Plans, Elevations, Litres.
LEARNING OBJECTIVES
G-F




STARTER
Target Boards.
Dominoes.
20 questions.
RESOURCES/ACTIVITIES/ICT
Recognise, sketch and name 3D shapes e.g.
cuboid, cylinder.
Recognise the net of a simple solid.
Find the volume of simple solids by
counting cubes, stating units.
Finding volumes of cubes and cuboids.
Activities
 Practical – seating plan.
 Euler’s rule.
Draw and label dimensions of a cuboid
drawn full size on an isometric grid.
Recognise, sketch and name 3D shapes e.g.
prism, pyramid, cone and tetrahedron.
Know properties of 3D shapes.
Represent 3D shapes on 2D diagrams,
showing plan view, front and side
elevations.
Find the number of smaller cubes/cuboids
which will fit into a larger cube/cuboid.
Reverse volume problems of cube/cuboid.
Finding the capacity of water/liquid held in
a cube/cuboid container.
ICT


E-D







C


Find the volume of simple prisms and
cylinders.
Reverse volume problems of simple prisms
and cylinders.
Conversion of mm³ to ml and cm³ to litres.
Resources
 Success for all SS5 and SS6.
 Straws & pipe cleaners.
 Solids.
 Litre cube.

FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA - Radiators (level 2)
OCR task 3: carrying cans (level2)
PLENARIES/KEY QUESTIONS
The Geometer’s Sketchpad.
My Maths.
Y10/11
FOUNDATION
TERM
UNIT: SSM 7 – The circle.
TIME ALLOCATION: 6 Lessons.
PRIOR KNOWLEDGE
Multiply and divide one and
two digit numbers (including
decimals).
Find one half of a number.
Know how to measure lengths.
Know how to square numbers.
KEY WORDS
Circle, Diameter, Radius,
Circumference, Chord,
Semicircle, Quadrant, Pi,
Squared. Centre, Tangent,
Arc, Sector, Segment.
LEARNING OBJECTIVES
G-F

Name the parts of a circle e.g. centre,
radius, diameter, circumference and
chord.
E-D



Calculate the circumference of a circle
to an appropriate degree of accuracy.
Calculate the area of a circle to an
appropriate degree of accuracy.
Name the parts of a circle e.g. arc,
sector, segment, tangent.



Find the perimeter of a semi circle.
Find the area of a semi circle.
Find area of the circle inside a square
or vice versa.
Reverse circumference and area
problems.
Find the surface area of a cylinder.
Know that inscribed polygons are
constructed by equal divisions of a
circle.
Activities
 Practical – finding circumference with
string.
 Finding the area of a circle by splitting
into sectors.
ICT

The Geometer’s Sketchpad.
Resources
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
Target Boards.
Dominoes.
RESOURCES/ACTIVITIES/ICT
C



STARTER
Y10/11
FOUNDATION
TERM
UNIT: SSM 8 – Pythagoras’ Theorem.
TIME ALLOCATION: 6 Lessons.
PRIOR KNOWLEDGE
How to find squares and
square roots.
Right angled triangles.
The longer the side the
larger the opposite angle.
KEY WORDS
Hypotenuse, right angled
Finding the ‘triples’.
triangles, square, square root,
2D, dimensions, units,
elevation, horizontal, vertical.
LEARNING OBJECTIVES
G-F


Calculate the square of a number with
or without a calculator.
Calculate the square root of a number
with or without a calculator.
E-D
RESOURCES/ACTIVITIES/ICT
Activities
 Tilting squares.
 Writing a Newspaper article about
Pythagoras’ discovery!
ICT



C

STARTER
Understand, recall and use Pythagoras’
theorem in 2D.
Resources
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
The Geometer’s Sketchpad.
Birchfield – Crazy golf.
Power Point Maths.
Y10/11
FOUNDATION
TERM
UNIT: SSM 9 – Loci.
TIME ALLOCATION: 6 Lessons.
PRIOR KNOWLEDGE
To accurately draw a length
and an angle.
To be able to use a pair of
compasses accurately.
KEY WORDS
STARTER
Point, Radius, Arc, Protractor,
Intersection, Perpendicular,
Bisector, Diagonals, Construct,
Congruent, Equidistant, Locus,
Fixed point.
The ‘flower’ compass starter.
LEARNING OBJECTIVES
G-F



Measure or draw a line to 1mm of
accuracy.
Draw a circle given the radius or
diameter.
Measure or draw an angle to 1º of
accuracy.
E-D

Construct an equilateral triangle.
RESOURCES/ACTIVITIES/ICT
Activities
 Practical – Imaginary Criminals.
 Loci mission.
ICT



Logo.
My Maths. Bob the Builder.
EXP Toolbox on IWB.
C
Bisect a given angle.
Bisect a given line. Construct a
perpendicular bisector.
 Construct a perpendicular to a point on
Resources
or away from a given line.
 Draw a locus equidistant from a point.
 Draw a locus equidistant from point A
and B
 Draw a locus closer to A than B.
 Shade a region which satisfies two or
more constraints.
FUNCTIONAL SKILLS and MPA OPPORTUNITIES


PLENARIES/KEY QUESTIONS
Y10/11
FOUNDATION
TERM
UNIT: SSM 10 – Polygons.
TIME ALLOCATION: 10 Lessons.
PRIOR KNOWLEDGE
Properties of angles at a point
and on a straight line.
Types of angles including
acute, obtuse reflex and right
angles.
Parallel lines, including
opposite, corresponding and
alternate angles.
KEY WORDS
Exterior, Interior, Isosceles,
Equilateral, Congruent, Right
angled, Square, Rectangle, Kite,
Trapezium, Parallelogram,
Rhombus, Polygon, Pentagon,
Hexagon, Heptagon, Octagon,
Nonagon, Decagon, Regular and
irregular polygon, Convex and
concave polygons, Tessellation.
LEARNING OBJECTIVES
G-F



Identify isosceles, equilateral and right
angled triangles.
Use the word ‘congruent’ when triangles are
identical.
Recognise and name shapes such as
parallelogram, rhombus and hexagon.
E-D






Show that the angles of a triangle add up to
180’ and use this to find angles.
Show that the exterior angle of a triangle is
equal to the sum of the interior opposite
angles.
Use angle properties of isosceles, equilateral
and right angled triangles.
Show why the angle sum of a quadrilateral is
360’.
Calculate interior and exterior angles of a
quadrilateral.
Investigate tessellations.

Activities
 Nine Pins.
 Geoboards.
ICT

The Geometer’s Sketchpad.
Resources
 Success for all SS1.
 Tessellation packs.
Classify a quadrilateral by geometric
properties.
Calculate exterior and interior angles of a
regular polygon.
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
20 questions.
Target boards.
Dominoes.
White boards.
RESOURCES/ACTIVITIES/ICT
C

STARTER
FOUNDATION
Y10/11
UNIT: SSM 11 – Measures.
TIME ALLOCATION: 4 Lessons.
PRIOR KNOWLEDGE
Multiply and divide by 10,100
and 1000.
Multiply and divide by
numbers with and without a
calculator.
Clocks and dials.
KEY WORDS
Measure, Length, Millimetre,
Centimetre, Metre,
Kilometre, Inch, Foot, Yard,
Mile, Mass, Milligram, Gram,
Kilogram, Ounce, Pound, Ton,
Tonne, Capacity, Millilitre,
Litre, Pint, Gallon.
LEARNING OBJECTIVES
G-F





TERM
STARTER
Shopping bag.
RESOURCES/ACTIVITIES/ICT
Activities
Know what metric units are used for
 Use of measuring equipment.
length, mass and capacity.
To interpret a range of measuring
instruments including time and mass.
To convert metric to metric units.
Estimate length, mass and capacity of a
variety of objects.
ICT
Know the rough metric equivalents to
 Maths Pack – Teaching measures.
imperial measures and use these to
convert simple metric to imperial
measures and vice versa.
E-D

To convert more complex metric to
imperial measures e.g. 70mph to km/h.
Resources
C
Find compound measures such as
density, speed.
 Convert area measures including square
centimetres to square metres etc.
 Convert volume measures including
cubic centimetres to cubic metres etc.
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA: gold (level2)
AQA – Nines (level 2)
OCR task 1: Blackpool tower (level2)
AQA - Shoe sizes (level 1/2)
AQA - Speed check (level 2)
AQA - Trains (level 1)
AQA – Unusual Measures (level 1)

PLENARIES/KEY QUESTIONS
Y10/11
FOUNDATION
TERM
UNIT: SSM 12 – Similar shapes.
TIME ALLOCATION: 4 Lessons.
PRIOR KNOWLEDGE
Enlargements.
Scale factors.
Multiply numbers by a
common multiplier.
Simple square and cube
numbers.
KEY WORDS
Similar triangles, Similar 2D
and 3D shapes, multipliers,
scale factors, corresponding
sides, corresponding angles,
area factors, volume factors.
LEARNING OBJECTIVES
G-F
 To recognise when simple
shapes are congruent or
similar or neither.
E-D



Calculate the missing length when two
triangles are similar.
Compare areas of original and enlarged
rectangles.
Compare volumes of original and
enlarged rectangles.
STARTER
Matching/ pairing activities.
RESOURCES/ACTIVITIES/ICT
Activities
 Investigation to find the relationship
between the scale factor and the
area/volume factors.
ICT


The Geometer’s Sketchpad.
Autograph.
Resources
 Clinometers & Trundle wheels.
C


To use the area factor to find the area
of a similar shape when one area is
given.
To use the volume factor to find the
volume of a similar 3D shape when one
volume is given.
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
Y10/11
FOUNDATION
TERM
UNIT: HD 1 – Statistical measures.
TIME ALLOCATION: 6 Lessons.
PRIOR KNOWLEDGE
Understand addition,
multiplication and division of
a set of numbers, with or
without the use of a
calculator.
KEY WORDS
Average, Median, Mode,
Modal class, Mean, Range,
Data, Discrete data,
Continuous data, Frequency
table or frequency
distribution, Grouped data.
LEARNING OBJECTIVES
G-F
 Find the mode for
a set of numbers.
 Find the median
for an odd/even
set of numbers.
 Work out the
range for a set of
numbers or for a
graph.
 Calculate the
mean for a set of
STARTER
Number Cards.
White boards.
Target Boards.
RESOURCES/ACTIVITIES/ICT
Activities
 Reverse Game e.g. Find a data set of 4
numbers with a Mode of 5 and a Range
of 3.
 People Maths. Using the pupils to
illustrate the ideas.
ICT


Excel.
Real Data.
Resources
 Y8 Mini pack.
 Success for all S4.

numbers.
Write down the
mode from a
graph.
E-D




Calculate the ‘fx’ column for a
frequency distribution.
Compare the mean and range of two
distributions.
Calculate the mean for a frequency
distribution.
Find the modal class for grouped data.
C


Calculate an estimated mean for
grouped data.
Find the median class for grouped data.
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
City & Guilds – Healthy Eating activity level2
AQA – Premium Bonds (level 1/2)
OCR: March08: task1 weight to lose (Level 2)
PLENARIES/KEY QUESTIONS
FOUNDATION
Y10/11
TERM
UNIT: HD 2 – Collecting data.
TIME ALLOCATION: 6 Lessons.
PRIOR KNOWLEDGE
Counting and, in particular,
counting in fives (for tally
charts).
KEY WORDS
Tally charts, Two-way tables,
Quantitative data, Qualitative or
categorical data, Discrete data,
Continuous data, Survey,
Respondent, Direct observation,
Primary and secondary data, Data
collection sheets, Pilot survey,
Convenience or opportunity
sampling, Random sampling,
Systematic sampling, Quota
sampling, Cluster sampling.
STARTER
Criticize misleading graphs
and charts.
LEARNING OBJECTIVES
RESOURCES/ACTIVITIES/ICT
G-F

Activities
Design and use tally charts for
discrete and grouped data.
E-D




Design and use two-way tables for
discrete and grouped data.
Classify and know the difference
between various types of data.
Use a variety of different sampling
methods.
Design and use data collection sheets
and questionnaires.
C

Identify possible sources of bias in the
design and use of data collection
sheets and questionnaires.
ICT


Excel.
Real Data.
Resources
 Random numbers on a calculator.
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA Hair Salon
AQA - Kitchen Design (level 1 / 2)
AQA – Sunshine Hotel (level 1)
PLENARIES/KEY QUESTIONS
FOUNDATION
Y10/11
TERM
UNIT: HD 3 – Graphical representations.
TIME ALLOCATION: 4 Lessons.
PRIOR KNOWLEDGE
Measures of average including
mean, median and mode.
Accurate use of ruler and
protractor.
KEY WORDS
Bar chart, Pictogram, Pie
chart, Frequency diagram,
Stem and leaf diagram,
Ordered stem and leaf
diagram, Back to back stem
and leaf diagram, Line graph,
Time series graph.
STARTER
‘How much information can we
gather from this graph in 5
minutes’?
LEARNING OBJECTIVES
RESOURCES/ACTIVITIES/ICT
G-F




Construct and interpret a pictogram.
Construct and interpret a bar chart.
Construct and interpret a dual bar
chart.
Interpret a pie chart.
ICT
E-D





Activities
 Hide and reveal activities.
 Comparing distributions/information
from different graphs and charts.
Construct a pie chart.
Interpret a stem and leaf diagram.
Construct a stem and leaf diagram
(ordered).
Construct a frequency diagram.
Interpret a time series graph.
Resources
 Y8 Mini pack.
 Success for all S4 and S5 (for C/D
grades).
C
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA Heart Rate (level 2)
OCR: Jan08: task3 Kay travels (level2)
OCR task 2: Solar Panels (level2)
PLENARIES/KEY QUESTIONS
Y10/11
FOUNDATION
TERM
UNIT: HD 4 – Scatter graphs
TIME ALLOCATION: 4 Lessons
PRIOR KNOWLEDGE
Use coordinates to plot
points on a graph.
Draw graphs including
labelling axes and giving a
title.
KEY WORDS
Coordinates, Correlation,
Type and Strength of
correlation, Line of best fit,
Outlier, Scatter graph.
STARTER
Human scatter graphs.
LEARNING OBJECTIVES
RESOURCES/ACTIVITIES/ICT
G-F
Activities
E-D



Draw a scatter graph by plotting points
on a graph.
Interpret the scatter graph.
Draw a line of best fit on the scatter
graph.
ICT


Excel.
Real Data.
C


Interpret a line of best fit.
Identify the type and strength of the
correlation.
Resources
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
Y10/11
FOUNDATION
TERM
UNIT: HD 5 - Probability
TIME ALLOCATION: 6 Lessons.
PRIOR KNOWLEDGE
Simple fractions, decimals
and percentages. Two way
tables. Tally charts.
KEY WORDS
Impossible, Likely, Evens,
Unlikely, Certain. Likelihood,
Successive, List, Two way table,
Sample spaces, Experimental,
Theoretical, Mutually exclusive,
Independent events, Relative
frequencies and probabilities.
LEARNING OBJECTIVES
STARTER
Washing line.
Squares game.
RESOURCES/ACTIVITIES/ICT
G-F




Describe the probability of an event
occurring using probability words.
Use a probability scale 0 to 1.
Find the simple probability of equally likely
outcomes.
List outcomes from two independent
events.
Activities
 Play your cards right.
 Practical experiments.
 Horse race.
 Lobster pots.
E-D




Use a two way table to identify all
outcomes from two independent events and
ICT
use to find probabilities.
 My maths.
Know that mutually exclusive events add up
to one.
Use probabilities to predict the number of
times a particular result will occur.
Understand that the more times an
Resources
experiment is repeated the better
estimates of probability.
o Success for all S1, S2, S3 and S7.
C



Find relative probabilities.
Use relative probabilities to predict the
number of times a particular result will
occur.
Compare experimental data and theoretical
probabilities.
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
OCR: Jan08: task2 babies (level2)
PLENARIES/KEY QUESTIONS
Y10
FOUNDATION
AUTUMN TERM
UNIT: A1 - Use of Symbols
TIME ALLOCATION: 5 Lessons
PRIOR KNOWLEDGE
 Experience of using a
letter to represent a
number
 Ability to use negative
numbers with the four
operations
 Multiply a two-digit number
by a single-digit number
KEY WORDS
Variable, term, algebraic
expression, product, collect
like terms, simplify, expand,
factorise, linear expression
STARTER
Algebraic pyramids
Dominoes
Adding expressions target
board
LEARNING OBJECTIVES
RESOURCES/ACTIVITIES/ICT
G-F
Activities:
 Distinguishing the different roles played Algebraic expression matching cards
by letter symbols in algebra, performing
simple algebraic multiplication and division ICT:
using the correct notation
 Simplify expressions with one variable
Resources:
E-D
 Simplify expressions with more than one Success For All: A1, A4
www.mymaths.co.uk
variable
Matching game – Algebra pairs, Simplifying
 Understanding that the transformation of
algebraic
expressions
obeys
and 1/2
www.active-maths.co.uk/whiteboard
generalises the rules of generalised
Secondary 11-16, Equations, Formulae and
arithmetic
 Multiply out expressions with brackets Identities. Sequences, Functions and Graphs
such as 3(x+2)
 Factorise expressions such as 6a+8
C
 Distinguishing the meaning between the
words ‘equation’, ‘formula’, ‘identity’ and
expression
 Expand and simplify harder expressions
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
FOUNDATION
Y10
UNIT: A2 - Formulae
TIME ALLOCATION: 6 Lessons
PRIOR KNOWLEDGE
 Understanding of the mathematical
meaning of the words expression,
simplifying, formulae and equation
 Experience of using letters to
represent quantities
 Substituting into simple expressions
using words
 Using
brackets
in
numerical
calculations and removing brackets in
simple algebraic expressions
AUTUMN TERM
KEY WORDS
Rule, formula,
substitution, expression,
algebraic formula,
subject of a formula,
substitution, identity,
equation, formula
LEARNING OBJECTIVES
STARTER
Match equivalent formulae.
Use spider diagrams to
transform formulae
RESOURCES/ACTIVITIES/ICT
G-F
Activities:
Use of real utility bills where formulae have
 Use formulae in words
 Substituting positive numbers into expressions been used.
(and formulae)
E-D
ICT:
 Substituting negative numbers into expressions
(and formulae)
 Substitute positive and negative numbers into
algebraic formulae involving powers
 Setting up simple equations
 Solving simple equations by using inverse
operations or by transforming both sides in the
same way
Resources:
www.bbc.co.uk/education/mathsfile
Late Delivery
www.active-maths.co.uk/whiteboard
Secondary 11-16, Equations, Formulae and
Identities
C
www.mathematics.hellam.net
 Using formulae from mathematics and other
Substitution
subjects that require prior simplification of
brackets, including those that have negative
signs occurring anywhere in the equation, and
those with a negative solution
 Derive a formula
 Change the subject of a formula
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA Heart Rate (level 2)
AQA - Radiators (level 1)
AQA - Shoe sizes (level 1/2)
AQA – The Solar System (level 2)
OCR task 1: Blackpool tower (level2)
OCR task 2: Solar panels (level2)
PLENARIES/KEY QUESTIONS
Y10
FOUNDATION
AUTUMN TERM
UNIT: A3 - Index Notation
TIME ALLOCATION: 3 Lessons
PRIOR KNOWLEDGE
 Experience of using a
letter to represent a
number
 Ability to use negative
numbers with the four
operations
KEY WORDS
Index, laws of indices
LEARNING OBJECTIVES
G-F
STARTER
RESOURCES/ACTIVITIES/ICT
Activities:
Card sorts
ICT:
E-D
 Using index notation for simple integer
Resources:
powers and simple instances of index laws
 Using the index laws to simplify and
calculate the value of numerical expression
involving multiplication and division of
integer powers
C
 Understand and use the index rules to
simplify algebraic expressions
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
Y10
FOUNDATION
SPRING TERM
UNIT: A4 - Expanding and Factorising
TIME ALLOCATION: 4 Lessons
PRIOR KNOWLEDGE
 Experience of using a
letter to represent a
number
 Ability to use negative
numbers with the four
operations
KEY WORDS
Expand, simplify, factorise,
multiply out brackets
LEARNING OBJECTIVES
G-F
STARTER
RESOURCES/ACTIVITIES/ICT
Activities:
Card sorts
E-D
 Simplifying algebraic expressions with
brackets; factorising using single brackets.
ICT:
Resources:
Success For All: A9
www.active-maths.co.uk/whiteboard
Secondary 11-16, Equations, Formulae and
Identities
C
 Expand and simplify expressions such as
3(x+2) + 5(2x-1), 3(x+2) - 5(2x-1), x(x2-5)
 Expand the product of two linear
expressions
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
Y10
FOUNDATION
SPRING TERM
UNIT: A5 - Sequences
TIME ALLOCATION: 6 Lessons
PRIOR KNOWLEDGE
 Know about odd and even
numbers
 Recognise simple number
patterns eg 1, 3, 5, ...
 Writing simple rules
algebraically
 Raise numbers to positive
whole number powers
KEY WORDS
Sequence, term, difference,
nth term, square numbers,
cube numbers, triangle
numbers
STARTER
Find missing numbers in
sequences
Hand shakes as a mini
investigation
Speed grids
LEARNING OBJECTIVES
RESOURCES/ACTIVITIES/ICT
G-F
Activities:
 Generating common integer sequences Use of matchsticks and dotty shape patterns
(including: sequences of odd or even
integers; squared integers; powers of 2; ICT:
powers of 10; triangle numbers)
 Find a simple term in a sequence involving
Resources:
positive numbers
www.mathematics.hellam.net
 Continue a sequence of diagram patterns
 Write the term-to-term rule in a sequence Sequences
www.active-maths.co.uk/whiteboard
involving positive numbers
Secondary 11-16, Sequences, Functions and
E-D
Graphs
 Generating terms of a sequence using
www.illuminations.nctm.org
term-by-term and position-to-term
Paper Pool
definitions of the sequence
 Use a calculator to produce a sequence of
numbers
C
 Using linear expressions to describe the
nth term of an arithmetic sequence,
justifying its form by referring to the
activity or context from which it was
generated
 Find whether a number is part of a given
sequence
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
FOUNDATION
Y10
SUMMER TERM
UNIT: A6 - Equations
TIME ALLOCATION: 6 Lessons
PRIOR KNOWLEDGE
 Experience of finding
missing numbers in
calculations
 The idea that some
operations are ‘opposite’ to
each other
 An understanding of
balancing
KEY WORDS
Equations, brackets, balance
STARTER
Equation bingo
Guess my number activities
Function machines – output
and input
Target boards
Algebraic dominoes
 Experience of using letters
to represent quantities
 Be able to draw a number
line
LEARNING OBJECTIVES
RESOURCES/ACTIVITIES/ICT
G-F
Activities:
 Solving simple equations by using inverse Use of balancing scales.
operations or by transforming both sides in Equation mobiles.
ICT:
the same way eg 5x = 15

E-D
Resources:
Success For All: A2
www.bbc.co.uk/education/mathsfile
Equation Match
www.mymaths.co.uk
Matching game – Equation pairs
www.active-maths.co.uk/whiteboard
Secondary 11-16, Equations, Formulae and
C
Identities
 Formulate and solve linear equations from a
www.mathematics.hellam.net
problem
Think of a number, Function machine

www.illuminations.nctm.org
Pan Balance
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA: bacterial growth: (level2)
AQA: game of 31 (level2)
 Solving linear equations with integer
coefficients, in which the unknown appears
on either side or on both sides of the
equation eg 6x+5 = 2x+7
 Solve linear equations involving a single pair
of brackets
PLENARIES/KEY QUESTIONS
FOUNDATION
Y11
AUTUMN TERM
UNIT: A7 - Trial and Improvement
TIME ALLOCATION: 6 Lessons
PRIOR KNOWLEDGE
KEY WORDS
STARTER
 Substituting numbers into Trial and improvement
algebraic expressions
 Dealing with decimals on a
calculator
 Ordering decimals
LEARNING OBJECTIVES
G-F
RESOURCES/ACTIVITIES/ICT
Activities:
E-D
 Using systematic trial and improvement to
find approximate solutions of equations
where there is no simple analytical method
of solving them
ICT:
Use of excel to help solve equations by trial
and improvement.
Resources:
C
 Solve cubic functions by
substitution of values of x
successive
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
FOUNDATION
Y11
AUTUMN TERM
UNIT: A8 – Graphs and Inequalities
TIME ALLOCATION: 8 Lessons
PRIOR KNOWLEDGE
KEY WORDS
STARTER
 Experience
at
plotting
points in all quadrants
 Substituting numbers into
algebraic expressions
 Plotting
points
on
a
coordinate grid
 Experience of dealing with
algebraic expression with
one pair of brackets
Co-ordinates of a point, xaxis, y-axis, origin, quadrant,
midpoint, vertical, horizontal,
table of values, gradient,
intercept, quadratic function,
minimum point, maximum point
signs, inequality, integer
solutions, number line
Pupils use themselves to show
shapes of certain graphs
Use of straws on grids to
show certain graphs
Use of mini whiteboards with
axes
 Understand inequality signs
 Draw graphs
LEARNING OBJECTIVES
RESOURCES/ACTIVITIES/ICT
G-F
Activities:
Card sorts: gradient or intercept to graph,
tables to graphs etc.
 Using the conventions for coordinates in
the plane
 Plotting points in all four quadrants
ICT:
Use omnigraph/autograph to develop
understanding of y=mx+c
E-D
 Draw linear graphs from tabulated data
C
 Find the midpoint of a line segment
Resources:
 Draw and interpret graphs in the form y =
www.bbc.co.uk/education/mathsfile
mx + c (when values for m and c are given)
Planet Hop
 Understand that lines are parallel when
www.active-maths.co.uk/whiteboard
they have the same value of m
Secondary 11-16, Sequences, Functions and
 Generating points and plotting graphs of
Graphs
simple quadratic functions
 Find approximate solutions of a quadratic
equation from the graph of the
corresponding quadratic function
 Solve graphically simultaneous equations
 Solving simple linear inequalities in one
variable, and represent the solution set on
a number line
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
PLENARIES/KEY QUESTIONS
Y11
FOUNDATION
SPRING TERM
UNIT: A9 - Real-Life Graphs
TIME ALLOCATION: 6 Lessons
PRIOR KNOWLEDGE
KEY WORDS
 Be able to plot and locate
points in all four quadrants
 Know how to read scales,
including whole number,
negative and fractional
values
 Understand and calculate
Straight-line graphs, linear
graphs, conversion graph,
distance time graph, travel
graph, constant speed, steady
speed, average speed,
steeper, KM/H
STARTER
using both 24 hour clock
and am/pm notation
LEARNING OBJECTIVES
G-F
 Drawing and reading conversion graphs
E-D
 Interpret distance time graphs
C
RESOURCES/ACTIVITIES/ICT
Activities:
Describe graphs in words.
Pupil journeys in the classroom, use of mini
whiteboards.
ICT:
 Constructing linear functions from real-life
Fill the container activities.
problems and plotting their corresponding
Motion sensor to draw distance time graphs
graphs
 Discussing and interpreting graphs
Resources:
modelling real-life situations
Success For All: A5, A6
 Interpreting information presented in a
www.active-maths.co.uk/whiteboard
range of linear graphs eg average speed
Secondary 11-16, Functions and Graphs
 Draw a line of best fit through a set of
linearly related points and find its equation
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA Heart Rate (level 2)
PLENARIES/KEY QUESTIONS