FOUNDATION Y10 AUTUMN TERM - Download Now DOC

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					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 Internet Advertising (level 2) internet advertising 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
AQA Internet Advertising (level 2)         Internet advertising teachers notes
 OCR task 2: solar panels (level2)    Solar panels teachers notes
OCR: Jan08: task1 MP3 (level2)
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,
                                                                           shaded in various colours ask
  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,
 Estimating answers to problems, add and
                                                    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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