Document Sample

```					FOUNDATION                                Y10                         AUTUMN TERM
UNIT: N1 - Integers
TIME ALLOCATION: 5 Hours

PRIOR KNOWLEDGE                       KEY WORDS                      STARTER
 Understand the four rules     Counting number, positive       Target boards
of number                     number, negative number,        Bingo
 Understand place value        Integer, directed number,       Five in a row
 Understand the inequality     less than, greater than, sum,   Types of number bingo (‘101
signs                         product, factor, multiple,      red hot maths starters –
 Know the meaning of sum       lowest common multiple,         Letts)
and product                   common factor, highest
 Change a decimal into a       common factor, prime
fraction                      number, index notation,
 Change a mixed number         reciprocal
into a top-heavy fraction
LEARNING OBJECTIVES                          RESOURCES/ACTIVITIES/ICT
G-F                                              Activities:
 Understand and use positive and negative       Card sort in a two way table. Match numbers
integers, both as positions and translations   against type of number criteria.
on a number line
 Order integers                                 ICT:
 Find the factors of a number
 Add and subtract negative integers
Resources:
E-D                                              Success For All: N8, N9
www.bbc.co.uk/education/mathsfile
 Multiple and divide negative integers
Game - Builder Ted, Grid Game
www.mathematics.hellam.net
C
Mathematical matches, sets of number.
 Recognise prime numbers
Game – Number cruncher, multiples
 Find the reciprocal of a number
www.active-maths.co.uk/whiteboard
 Find the least common multiple of two
Secondary 11-16, Integers, Powers and Roots
simple numbers
www.illuminations.nctm.org
 Find the highest common factor of two
The Factor Game
simple numbers
 Write a number as a product of its prime
factors
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA: game of 31 (level2) Game of 31 teachers notes

PLENARIES/KEY QUESTIONS
FOUNDATION                                   Y10                        AUTUMN TERM
UNIT: N2 - Powers and Roots
TIME ALLOCATION: 4 Hours
PRIOR KNOWLEDGE                   KEY WORDS                            STARTER
 Understand the idea of       Square number, cube number,       Card sort match
square numbers               square root, cube root, index,    squares/cubes and their
 Understand the idea of       power, exponent, indices          roots
reciprocals
 Basic use of algebra
LEARNING OBJECTIVES                          RESOURCES/ACTIVITIES/ICT
G-F                                             Activities:
 Calculate squares and square roots (with      Prisoner Lock up Problem.
and without the use of a calculator)          A prison has 25 prisoners (one in each cell)
E-D                                             and 25 jailers. The cells are numbered 1-25.
The jailers go to a party one night and return
 Use the terms square, positive square root,
very merry. The first jailer unlocks every
negative square root, cube and cube root
 Use index notation for squares, cubes and     cell, the second jailer locks every cell that is
a multiple of 2, the third jailer turns the key
powers of ten
in the lock for cells whose numbers are
 Estimate square roots
multiples of 3 and so on until the twenty-
 Recall integers facts from 2X2 to 15X15
fifth jailer. All the jailers fall asleep and the
and the corresponding square roots
prison is silent. The prisoners all try their
 Recall the cubes of 2, 3, 4, 5 and 10
doors – which ones escape?
C
Match cards that show numbers with cards
 Calculate cubes and cube roots (with and
that show calculations and calculator displays
without the use of a calculator)
in standard form. Alternatively, the cards
 Use calculators effectively and efficiently,
might show the same calculation written in
know how to enter complex calculations and
different ways.
use the function keys for reciprocals,
ICT:
squares and powers
Use excel to estimate roots
 Use index laws for multiplication and
Resources:
division of integer powers
Success For All: N4
 Express standard index form both in
www.mymaths.co.uk
conventional notation and on a calculator
Square and cube matching game
display
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA: codes (level2) Codes teachers notes

PLENARIES/KEY QUESTIONS
FOUNDATION                                   Y10                           AUTUMN TERM
UNIT: N3 - Fractions and Ratio
TIME ALLOCATION: 4 Hours
PRIOR KNOWLEDGE                      KEY WORDS                           STARTER
 Using the four operations      Compare, ratio, simplify,         Dominoes
 Ability to recognise           shared, scales, proportion        Loop cards
common factors
 Knowledge of fractions
LEARNING OBJECTIVES                       RESOURCES/ACTIVITIES/ICT
G-F                                                Activities:
 Understanding equivalent fractions;              Fraction walls, identify odd one out, place
simplifying a fraction by cancelling all         fraction cards in order.
common factors                                   Use of sweets to divide in a given ratio.
 Ordering fractions by rewriting them with
a common denominator                             ICT:
 Using ratio notation, including reduction to
its simplest form and its various links to
fraction notation                                Resources:
Success For All: N6
E-D
www.active-maths.co.uk/whiteboard
 Solving word problems about ratio and
Secondary 11-16, Fractions, decimals,
proportion, including using informal
percentage, ratio and proportion
strategies and the unitary method of
www.mymaths.co.uk
solution
Fraction pairs matching game
 Dividing a quantity in a simple ratio
www.mathematics.hellam.net
C
Equivalent Fractions, Fraction switch
 Dividing a quantity in a given ratio including
a:b:c

FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA Hair Salon (level 1) Hair salon teachers notes
AQA – Steep Hill Road Signs (level 1)
AQA: coffee (level2) coffee teachers notes
AQA: gold (level2)  gold teachers notes
PLENARIES/KEY QUESTIONS
FOUNDATION                Y10                                           SPRING TERM
UNIT: N4 - Mental Methods
TIME ALLOCATION: 6 Hours
PRIOR KNOWLEDGE                       KEY WORDS                        STARTER
 The ability to order numbers      Round, significant figures,   Bingo (www.topmarks.co.uk)
 Appreciation of place value       decimal places, estimate,     Four in a row on grids
 Experience of the 4 operations    upper bound, lower bound      Target boards
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
LEARNING OBJECTIVES                          RESOURCES/ACTIVITIES/ICT
G-F                                              Activities:
 Recall all positive integer complements to     Sort cards into correct place on two-way
100                                            grid. Horizontally number of decimal places
 Round to the nearest integer                   0-3, vertically number of significant figures
 Understanding place value and round to a       0-3.
given power of 10
 Round to a given number of decimal places      ICT:
 Estimate answers to problems involving
decimals                                       Resources:
E-D                                              Success For All: N3
www.bbc.co.uk/education/mathsfile
 Round a number to one significant figure
Game – Rounding off
 Use a variety of checking procedures,
including the problem backwards, and           www.active-maths.co.uk/whiteboard
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)  Healthy eating teachers notes
AQA: farm animals (level2)     farm animals teachers notes
OCR task 2: solar panels (level2)    Solar panels teachers notes
PLENARIES/KEY QUESTIONS
FOUNDATION                                 Y10                        SPRING TERM
UNIT: N5 - Calculations
TIME ALLOCATION: 6 Hours

PRIOR KNOWLEDGE                      KEY WORDS                         STARTER
 The ability to order          Place value, sum, difference,   Countdown
numbers                       product, reciprocal             Speed grids
 Appreciation of place value
 Experience of the 4
operations using whole
numbers
LEARNING OBJECTIVES                          RESOURCES/ACTIVITIES/ICT
G-F                                              Activities:
 Using standard column procedures for           Multiplication Mayhem (www.sln.org.uk/maths)
addition and subtraction of integers           Fill in missing numbers on cards, such as
_ multiplied by 103 is_
Fill in missing operations by describing as
many operations as can to get from a start
E-D                                              number to a second number.
Give pupils a calculation and ask them to
 Multiply and divide integers
 Multiplying or dividing any number by          extend and develop it to find equivalent
calculations.
powers of 10, and any positive number by a
number between 0 and 1                         ICT:
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)       teachers notes
AQA – Plastic codes (level 2)                  AQA: energy labels (level2) teachers notes
AQA - Radiators (level 1)                       AQA Rainforest facts (level 1)
AQA - Speed check (level 2)                      AQA: bookclub: (level2) teachers notes
AQA – The World’s Population (level 1)           AQA: calendar (level2) teachers notes
AQA – Transport Issues (level 1)                  AQA: bricklaying (level2) teachers notes
AQA – Unusual Measures (level 1)                  AQA: Digital prints (level2) teachers notes
PLENARIES/KEY QUESTIONS
FOUNDATION                                         Y10                         SUMMER TERM
UNIT: N6 - Fractions
TIME ALLOCATION: 6 Hours
PRIOR KNOWLEDGE                             KEY WORDS                           STARTER
 Multiplication facts                Fraction, numerator, denominator,    Use a grid to shade fractions
 Ability to find common factors      unit fraction, proper fraction,
of it. Alternatively show grid
 Understand numerator and            improper or top heavy fraction,
denominator                         mixed number or mixed fraction,
 A basic understanding of            decimal fraction, equivalent         pupils what fraction is
fractions as being ‘parts of a      fraction, simplify a fraction or     shaded.
whole unit’                         express a fraction in its simplest
 Use of a calculator with            form
fractions
LEARNING OBJECTIVES                                 RESOURCES/ACTIVITIES/ICT
G-F                                                      Activities:
 Understanding equivalent fractions; simplifying a      Use spider diagrams to list equivalent
fraction by cancelling all common factors              fractions. Use fraction walls, pupils can make
 Ordering fractions by rewriting them with a            their own. Place cards with fractions on into
common denominator
ascending or descending order.
E-D                                                      Roll a dice twice. The first score is the
 Work out fractions of quantities, understand and
numerator the second is the denominator. Is
use unit fractions as multiplicative inverses
 Expressing a given number as a fraction of another
it proper/improper, give an equivalent
 Adding and subtracting fractions by writing them       fraction, can it be simplified, does it give a
with a common denominator                              recurring decimal? How many different
 Multiplying simple fractions                           fractions do the dice give?
 Convert fractions to decimals                          ICT:
C
 Write an improper fraction as a mixed fraction
 Using a calculator to change fractions into decimals
Resources:
and look for patterns
 Working with improper fractions and mixed              www.active-maths.co.uk/whiteboard
numbers                                                Secondary 11-16, Fractions, decimals,
 Do calculations with simple fractions involving        percentage, ratio and proportion
division                                               www.mymaths.co.uk
Game – Fraction Golf

FUNCTIONAL SKILLS and MPA OPPORTUNITIES
City & Guilds – Healthy Eating activity 2 (Level 2) teachers notes
AQA Hair Salon teachers notes
OCR task 2: solar panels (level2) teachers notes
BTEC – And the winner is
PLENARIES/KEY QUESTIONS
FOUNDATION                                    Y10                           SUMMER TERM
UNIT: N7 - Decimals
TIME ALLOCATION: 6 Hours

PRIOR KNOWLEDGE                        KEY WORDS                           STARTER
 The concepts of a fraction       Digit, integer, decimal,          Speed grids
and a decimal                    numerator, denominator,
 Add, subtract, multiply and      terminating decimal, recurring
divide whole numbers             decimal

LEARNING OBJECTIVES                             RESOURCES/ACTIVITIES/ICT
G-F                                                 Activities:
 Using decimal notation and recognising that       Some pupils out at the front of the class. Place
each terminating decimal is a fraction            numbers on their back. Class arrange in order.
 Writing decimal numbers in order of size          Pupils at front offer suggestions to what the
numbers could be.
E-D
Clouding the picture. For example, ask pupils to
 Rounding to a given number of significant
complicate a central fraction in as many ways as
figures (and decimal places)
they can. Replace the centre number by decimals,
 Adding and subtracting mentally numbers with
percentages or ratios.
up to two decimal places
 Using standard column procedures for addition
ICT:
and subtraction of decimals
 Using standard column procedures for
multiplication of decimals, understanding where
Resources:
to position the decimal point by considering
Success For All: N1
what happens if they multiply equivalent
www.active-maths.co.uk/whiteboard
fractions
Secondary 11-16, Fractions, decimals, percentage,
ratio and proportion
subtract mentally numbers with up to 2 dp
www.bbc.co.uk/education/mathsfile
 Understand and use the equivalents between
Game – Saloon Snap
fractions, decimals and percentages
www.mathematics.hellam.net
C                                                   Mathematical matches, fractions 1/2
 Dividing by a decimal (up to 2 dp) by             Decimal challenge
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
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                                                 AUTUMN TERM
UNIT: N8 - Percentages
TIME ALLOCATION: 6 Hours
PRIOR KNOWLEDGE                            KEY WORDS                            STARTER
 4 operations of number             Percentage, numerator,              Percentage bingo
 The concepts of a fraction and a   denominator, interest, principal,   Dominoes
decimal                            rate, time, amount, balance,
 Number complements to 10 and       deposit, discount, VAT,
multiplication tables              depreciation, credit
 Awareness that percentages are
used in everyday life
LEARNING OBJECTIVES                                   RESOURCES/ACTIVITIES/ICT
G-F                                            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
proportions                                  Use spider diagrams to calculate different
 Change a percentage to a fraction or decimal percentages of a quantity.
and visa versa
ICT:
E-D
 Compare percentages, fractions and decimals
 Work out a percentage of a given quantity
Resources:
 Calculate simple interest
Success For All: N7
 Increase or decrease a quantity by a given
www.active-maths.co.uk/whiteboard
percentage
Secondary 11-16, Fractions, decimals, percentage,
 Express one quantity as a percentage of
ratio and proportion
another
www.mathematics.hellam.net
C                                                       Percentage estimation
 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
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
AQA Heart Rate (level 2) teachers notes
AQA Internet Advertising (level 2) teachers notes
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
FOUNDATION                                    Y11                         SPRING TERM
UNIT: N9 - Order of Operations
TIME ALLOCATION: 2 Hours
PRIOR KNOWLEDGE                     KEY WORDS                          STARTER
 Know multiplication tables     BIDMAS, brackets, square,        Bingo
up to 10X10                    cube, power, index, reciprocal
 Be able to work out powers
of a number
LEARNING OBJECTIVES                           RESOURCES/ACTIVITIES/ICT
G-F                                              Activities:
                                                Use a calculator to work out expressions
E-D                                              which give answers that are words.
Complete expressions with missing operations.
 Understand simple instances of BIDMAS,
True/False statements
e.g. work out 12  5 – 24  8
ICT:
C
 Be able to use a scientific calculator to
work out a complex expression
Resources:
Success For All: N5

FUNCTIONAL SKILLS and MPA OPPORTUNITIES

PLENARIES/KEY QUESTIONS

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