Bellfield Primary School Numeracy Medium Term Planning ......or less than a number. 4.I can count on...

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Year One Spring Term Big Maths Counting Learn its It’s nothing new Calculation Progress Drive Steps Addition Progress Drive Steps Addition Saying Numbers 4.I can count to 100 2+4 2+5 2+6 2+7 2+9 3+4 3+5 3+6 Counting in differen t contexts Pim 1. I can count amounts using different objects. Counting in groups of 10 and 5 e.g. 5 bears, 5 apples 6.I can read a number sentence 7.I can arrange a number sentence. 8.I can solve a number sentence. 9. I can solve addition on a number line Reading numbers 5.I can read multiples of 100. Doubling 1.I can double 1 digit numbers. (Without and with crossing boundaries) 2.I can double 2 digit multiples of multiples of 10. Subtraction 6.I can read a subtraction number sentence. 7.I can arrange a subtraction number sentence. 8.I can solve a subtraction number sentence 9. I can solve subtraction on a number line. 6-4=2 Compare Order Round Estimate 2.I can understand numbers to 20 Multiplication 4. I can find the total amount blocks. Counting On 2.I can count on 2 more or less than a number. 3.I can count on 3 more Number bonds 1.I know the missing piece to 10. 3 + ? = 10 5 + ? = Division 4. I can half an even number of objects. 5. I can share 6, 9, 12 or 15 objects between 3 Multiplication Bellfield Primary School Numeracy Medium Term Planning Year 1 Spring Term

Transcript of Bellfield Primary School Numeracy Medium Term Planning ......or less than a number. 4.I can count on...

  • Year One

    Spring Term

    Big Maths

    Counting Learn its It’s nothing new Calculation

    Progress Drive Steps Addition Progress

    Drive

    Steps Addition

    Saying

    Numbers

    4.I can count to 100

    2+4

    2+5

    2+6

    2+7

    2+9

    3+4

    3+5

    3+6

    Counting

    in

    differen

    t

    contexts

    Pim

    1. I can count

    amounts using

    different objects.

    Counting in groups

    of 10 and 5 e.g. 5

    bears, 5 apples

    6.I can read a number sentence

    7.I can arrange a number sentence.

    8.I can solve a number sentence.

    9. I can solve addition on a number line

    Reading

    numbers

    5.I can read multiples

    of 100.

    Doubling 1.I can double 1 digit numbers.

    (Without and with

    crossing

    boundaries)

    2.I can double 2

    digit multiples of

    multiples of 10.

    Subtraction

    6.I can read a subtraction number sentence.

    7.I can arrange a subtraction number sentence.

    8.I can solve a subtraction number sentence

    9. I can solve subtraction on a number line. 6-4=2

    Compare

    Order

    Round

    Estimate

    2.I can understand

    numbers to 20

    Multiplication

    4. I can find the total amount blocks.

    Counting On 2.I can count on 2 more or less than a number.

    3.I can count on 3 more

    Number

    bonds

    1.I know the

    missing piece to 10.

    3 + ? = 10 5 + ? =

    Division

    4. I can half an even number of objects.

    5. I can share 6, 9, 12 or 15 objects between 3 Multiplication

    Bellfield Primary School Numeracy Medium Term Planning

    Year 1 Spring Term

  • or less than a number.

    4.I can count on 4 more

    or less than a number.

    5.I can count on 5 more

    or less than a number.

    Counting in 10s

    Counting in 5s

    people. 15÷3

    6. I can share 6, 9, 12 or 15 objects into 3. 15÷3

    Counting

    Multiples

    2. I can count in 5s

    Number/Measures 3 weeks

    Non –Statuary Guidance Pupils practise counting (1, 2, 3…), ordering (for example, first, second, third…), and to indicate a quantity (for example, 3 apples, 2 centimetres), including solving simple

    concrete problems, until they are fluent.

    Pupils begin to recognise place value in numbers beyond 20 by reading, writing, counting and comparing numbers up to 100, supported by objects and pictorial

    representations.

    They practise counting as reciting numbers and counting as enumerating objects, and counting in twos, fives and tens from different multiples to develop their recognition

    of patterns in the number system (for example, odd and even numbers), including varied and frequent practice through increasingly complex questions.

    They recognise and create repeating patterns with objects and with shapes.

    Review learning New learning Contextualised supporting material

    Count to twenty, forwards and

    backwards, beginning with 0 or 1,

    from any given number.

    Count, read and write numbers

    from 1 to 20 in numerals and

    words.

    Identify and represent numbers

    using objects and pictorial

    Count to 40 forwards and backwards,

    beginning with 0 or 1, or from any number.

    Count, read and write numbers from 1-40 in

    numerals and words. (1)

    Identify and represent numbers using

    objects and pictorial representations. (2)

    Given a number, identify 1 more or 1 less.

    Length and height along

    with a wide variety of

    everyday contexts

    including money.

    NRICH

    1

    Writing Digits * P

    Shut the Box * G

    Biscuit Decorations * P

    Grouping Goodies *** P

    Same Length Trains * P

    2

    Making Sticks ** P I

    Robot Monsters * I

    Dotty Six * G

    http://nrich.maths.org/public/viewer.php?time=1228319356&obj_id=161http://nrich.maths.org/6074http://nrich.maths.org/public/viewer.php?obj_id=154http://nrich.maths.org/public/viewer.php?obj_id=232http://nrich.maths.org/4332http://nrich.maths.org/public/viewer.php?obj_id=231http://nrich.maths.org/2404http://nrich.maths.org/7337

  • representations including the

    number line, and use the language

    of: equal to, more than, less than

    (fewer), most, least.

    Count in multiples of twos and fives

    Compare, describe and solve practical

    problems for lengths and heights [for

    example, long/short, longer/ shorter,

    tall/short, double/half]. (3)

    Measure and begin to record lengths and

    heights. (4)

    All Change * G I

    3

    Wallpaper ** P

    Sizing Them Up * G

    The Animals’ Sports Day * I

    Different Sizes * P I

    4

    How Tall? * I

    Can You Do it Too? ** G

    NCETM

    Number - https://www.ncetm.org.uk/resources/42455

    measure - https://www.ncetm.org.uk/resources/42711

    Hamilton Trust Weeks

    Number – 1,6 Measure - 4,7,8

    The Maths Shed -

    http://www.mathematicshed.com/index.html

    Objective Fluency Reasoning Problem Solving

    Cou

    nt t

    o 40 f

    orward

    s and

    back

    ward

    s,

    beginning

    with 0

    or

    1,

    or f

    rom a

    ny n

    umber.

    Complete the missing numbers:

    In pairs, take turns to say 3 consecutive

    numbers starting from any point. Record

    who says 40. e.g. start from 28

    28, 29, 30, 31, 32, 33,

    34,35, 36, 37, 38, 39

    40

    How many bricks are there altogether?

    Kate says, “I have 3 tens and 8 ones. My

    number must be 308.” Explain the mistake Kate

    has made.

    True or false? I am counting forwards to 40

    from 25. I will say 30. Convince me.

    Spot and explain the mistake. 26, 27, 28, 29,

    40

    My friend and I created the same number using base 10. My

    number is below. How much did we have altogether?

    Simon had 3 numbers in his bag. He gave three clues about them.

    Work out what each number could be: - One number has seven

    less than 35. - One number has no ones. - One number more ones

    than it has tens.

    Put cards 0-40 face down. When you turn one over count how

    many jumps it takes to get to 40. Count how many jumps it takes

    to get to 0. Which is it closer to? Why?

    http://nrich.maths.org/7514http://nrich.maths.org/public/viewer.php?obj_id=4964http://nrich.maths.org/public/viewer.php?obj_id=4962http://nrich.maths.org/7789http://nrich.maths.org/8117http://nrich.maths.org/7536http://nrich.maths.org/8327https://www.ncetm.org.uk/resources/42455https://www.ncetm.org.uk/resources/42711http://www.mathematicshed.com/index.html

  • Cou

    nt, re

    ad a

    nd w

    rite

    num

    bers

    fro

    m

    1-40 in

    numera

    ls a

    nd w

    ords.

    Using base 10, show me 37.

    What is my number?

    Using counters, fill the ten frames to make

    28.

    How many would you have if it was full?

    How many more do you need to make it 30?

    True or false? I have 2 tens and 7 ones. If I

    take one ten away, I will have 17. Explain why.

    Odd one out! Explain why you think a number is

    the odd one out. How many different reasons

    can you find? 10, 15, 25, 36

    Each circle represents 10. Each triangle

    represents one. Harry says the number below is

    24. Is he correct? Explain why.

    Create a word search for a friend including the words eighteen,

    forty and twenty four.

    Create a number story using the number 40.

    Write or look at the numbers 1-40. Are there any patterns in

    how they are pronounced? Are there any numbers that are

    different? Does this make it easier or harder to remember

    them?

  • Ident

    ify a

    nd r

    epr

    ese

    nt n

    umbers

    using

    obje

    cts

    and

    picto

    rial re

    pre

    sent

    ation

    s.

    Using Base 10, show me: a) 38 b) a number

    smaller than 25 c) a number with 1 ten

    and 6 ones in it

    How many ways can you represent 17 using

    drawings?

    Treasure hunt activity! Can you find all the

    things on your sheet?

    If blue counters are worth 5. Can you make 35

    using them?

    Can you create a story, including drawings, for

    the number sentence below? 17 + 9 =

    Jamie had some teddy bears. He said if I had

    another equal set of teddy bears I would have

    20. Is he right? Explain why

    Look at the picture below. List all the mathematical vocabulary,

    numbers and calculations you can create from this.

    Stars are worth 5. Circles are worth 1. Triangles are worth 2.

    Arrows are worth 10. How many ways can you represent 20? Will

    there be more ways for 40? How do you know?

    Look at the part-whole model. Make all the partwhole models you

    can from these facts you have been given

  • Given

    a n

    umber,

    ident

    ify 1

    mor

    e o

    r

    1 less

    .

    Anna thinks 1 more than 14 is 24. Can you

    explain her mistake?

    True or false? 1 more than 10 is the same as 1

    less than 30.

    Calvin is finding one more and one less of a

    number. Here are some he has found:

    21,22,23

    34,35,36

    17,18,19

    Calvin says, “No matter what number I pick the

    tens will stay the same. It is only the ones that

    change.” Is he right? Explain why

    Sarah has £1 more than Katie. Brian has £1 less than Katie.

    Sarah has £22. How much money do Katie and Brian have?

    A bag is full of digit cards from 1-40. Michelle pulls out a card

    and says

    “The difference between the digits is 1.” What card could she

    have pulled out?

    Is this the only option?

    In pairs, take it in turns to build a tower. Your partner needs to

    make 2 towers. The first will be 1 more than the original; the

    second will be 1 less.

  • Com

    pare

    , desc

    ribe a

    nd s

    olve

    pra

    ctical pr

    oblems

    for:

    leng

    ths

    and

    heights

    for

    example,

    long

    /shor

    t, lon

    ger/

    shor

    ter,

    tall/s

    hor

    t, d

    ouble/h

    alf

    Rick ate half a Mars bar and said, “My

    chocolate bar is longer now I have eaten some

    of it.” Do you agree? Explain why.

    Pick two objects. Before you measure them, can

    you guess which is longer? How do you know?

    Which piece of string is longer? Explain why

    you think that?

    Look at the picture below. How many ways can you compare the

    different objects? Make a list.

    Pick up your book. Find 5 items in the room that are shorter than

    it and 5 items that are longer. Record them in sentences.

    Helen has a mystery object. She says, “It is shorter than my

    work table. It is taller than my exercise book.” What could

    Helen’s object be?

  • Measu

    re a

    nd b

    egin

    to r

    eco

    rd leng

    ths

    and

    heights

    .

    Find an object:

    a) Bigger than 10cm

    b) Shorter than 7cm

    c) Double your pencil

    Estimate the length of your

    exercise book then measure it.

    Were you close?

    Use a ruler to measure how long

    these lines are.

    Sal wants to measure the length of his house.

    He suggests using his feet to do this. Do you

    think this is the best way? Explain why.

    I measure a pencil at 9cm. My friend measures

    another at 7cm. Without looking at a ruler,

    which is bigger? How do you know?

    True or false? Everything is measured in cm.

    Prove it.

    Here is a ruler. Here is a book bigger in length than the ruler.

    Find the length of the book.

    Gather 6 objects from around the classroom. Estimate them

    first then measure them. Work out the difference between your

    estimate and the actual measurement.

  • Addit

    iona

    l re

    ason

    ing

    prom

    pts

    Spot the mistake:

    5,6,8,9

    What is wrong with this sequence of numbers?

    True or False?

    I start at 2 and count in twos. I will say 9

    What comes next?

    10+1 = 11

    11+1= 12

    12+1 = 13

    Do, then explain

    Look at the objects. (in a collection). Are there more of one type than another?

    How can you find out?

    Top tips

    How do you know that this (object) is heavier / longer / taller than this one?

    Explain how you know

    Application

    (Can be practical)

    Which two pieces of string are the same length as this book?

    Possibilities

    Ella has two silver coins.

    How much money might she have?

  • Measures – Time 2 Weeks

    Non –Statuary Guidance

    Pupils use the language of time, including telling the time throughout the day, first using o’clock and then half past.

    New learning supporting material

    Tell the time to the hour and half past the hour and draw the hands on a clock face to show these

    times.

    Recognise and use language relating to dates, including days of the week, weeks, months and years. (2)

    Compare, describe and solve practical problems for time [for example, quicker, slower, earlier, later]

    and measure and begin to record time (hours, minutes, seconds)

    Sequence events in chronological order using language [for example, before and after, next, first,

    today, yesterday, tomorrow, morning, afternoon and evening. (1)

    NRICH

    1.

    The Games’ Medals ** I

    Times of Day * P I 2.

    Snap * G

    NCETM

    Measure/Time – 4,8,11

    Hamilton Trust Weeks

    Time - https://www.ncetm.org.uk/resources/42711

    The Maths Shed -

    http://www.mathematicshed.com/index.html

    http://nrich.maths.org/7763http://nrich.maths.org/public/viewer.php?obj_id=6609http://nrich.maths.org/6082http://www.mathematicshed.com/index.html

  • Objective Fluency Reasoning Problem Solving

    Tell t

    he t

    ime t

    o th

    e h

    our

    and

    half p

    ast

    the h

    our

    and

    dra

    w t

    he h

    and

    s on

    a c

    lock

    face

    to

    show

    these

    tim

    es.

    Point to 11o’clock on the class clock.

    Match the words to the correct clock:

    What time is the clock showing?

    Kim says, “The big hand is pointing to

    the 6 and the small hand is pointing to

    the 12 so it is 6 o’clock.” Do you agree?

    Can you explain to your partner how to

    show half past 8 on your clock?

    Using the blank clocks, can you draw

    three times and write something that

    you would do at this time

    In pairs, children start at 6 o’clock. In turns, they move

    the time on either half hour or 1 hour. Whoever lands on

    12 o’clock is the winner.

    Create a short play with friends on activities you would

    do at half past 12, 7 o’clock and 9 o’clock.

    Ben was in bed asleep. Can you show me two different

    times on your clock to show when this could be

    happening?

  • Reco

    gnise a

    nd u

    se lang

    uage

    relating

    to

    date

    s, inc

    luding

    days

    of t

    he

    week,

    weeks,

    mon

    ths

    and

    years

    .

    Fill in the missing blanks:

    On ______, I visited the seaside all day.

    On ______, we did P.E. at school.

    Can you write down the month and year you were

    born?

    Here are the days of the week mixed up. Can you

    put them in the correct order?

    Thursday

    Tuesday

    Saturday

    Monday

    Friday

    Sunday

    Wednesday

    Match the picture to the month you

    think it is showing. Explain why you have

    made that choice

    Hannah is describing a month. She says,

    “I don’t like this month because it’s

    always cold and it’s darker outside for

    longer. Sometimes it snows.”

    What month do you think this is?

    Convince me!

    Look at the calendar below

    Kirsty wants to go to the cinema one

    weekend. List the days she could

    possibly go. Explain why.

    Below is a list of activities Jonathan did.

    Can you explain to him which he should spend a day, week and year

    on and why?

    Robbie is describing different things he did on different days.

    Can you write a day next to each activity and explain why you

    chose that day.

  • Com

    pare

    , desc

    ribe a

    nd s

    olve

    pra

    ctical

    prob

    lems

    for

    time [fo

    r example,

    quicker,

    slow

    er,

    earlier,

    late

    r] a

    nd m

    easu

    re a

    nd

    begin t

    o re

    cord

    tim

    e (hour

    s, m

    inut

    es,

    seco

    nds)

    Using a stop watch. Can you see who can do 10

    stars jumps the quickest? Take it in turns to

    record each other.

    James took 35 seconds to read a page in a book.

    A class spent 4 minutes looking at a page in a

    book. Who was the slowest?

    Peter is eating his lunch at half past 12. Jane is

    eating her lunch half an hour later. Tick the clock

    which is showing when Jane eats her lunch.

    Holly arrived at school at 8 o’clock.

    Megan arrived 9 minutes past 8. Holly

    says, “I arrived earlier.” Do you agree?

    Explain why.

    Sarah explained to the class that she

    woke up for school at 6 o’clock. Her

    friend said, “I’m confused because I

    have my tea at that time.” Why is

    Sarah’s friend confused?

    Explain to a friend why the big hand

    moves round the clock faster than the

    small hand.

    On Saturday, I played at the park for 15 minutes.

    On Sunday, I played for longer. Can you write an amount of time

    I could have played for?

    Explain how you know it is correct.

    Mick, Seb and Annie all walk to a football match.

    Mick takes 8 minutes to walk there.

    Seb is 3 minutes slower than Mick.

    Annie is 5 minutes faster than Seb.

    Who arrived at the football match first? How do you know?

    Sequ

    enc

    e e

    vent

    s in c

    hro

    nologica

    l or

    der

    using

    lang

    uage [fo

    r example,

    befo

    re a

    nd

    aft

    er,

    next,

    first

    , to

    day,

    yest

    erd

    ay,

    tomor

    row,

    mor

    ning

    , aft

    ern

    oon

    and

    eve

    ning

    .

    Put the following statements in the correct order.

    Next week I am going to the seaside

    Yesterday I walked my dog

    Tomorrow I will have pizza

    Today I am going shopping

    Fill in the missing blanks for instructions on how

    to do work. Use next, first and after.

    _____ I open my book

    _____ I write the date

    _____ I do my work

    Look at the clocks below. Can you put

    them in order and explain why you have

    chosen that order?

    True or false? We go to bed before we

    brush our teeth? Explain why.

    Using pictures of different activities e.g. waking up, eating

    dinner, working at school. Can you order them in a sensible way

    and explain why you have done this using prompt words e.g. after…

    Can you write a diary entry for your day at school yesterday?

    Include at least 3 prompt words e.g. first, next

  • Additiona

    l re

    aso

    ning

    prom

    pts

    Explain thinking

    Ask pupils to reason and make statements about to the order of daily routines in school e.g. daily timetable

    e.g. we go to PE after we go to lunch. Is this true or false?

    What do we do before break time? etc.

  • Addition and Subtraction 1-2 weeks

    Non –Statuary Guidance Pupils memorise and reason with number bonds to 10 and 20 in several forms (for example, 9 + 7 = 16; 16 – 7 = 9; 7 = 16 – 9).

    They should realise the effect of adding or subtracting zero. This establishes addition and subtraction as related operations.

    Pupils combine and increase numbers, counting forwards and backwards.

    They discuss and solve problems in familiar practical contexts, including using quantities. Problems should include the terms: put together, add, altogether, total, take away,

    distance between, difference between, more than and less than, so that pupils develop the concept of addition and subtraction and are enabled to use these operations

    flexibly.

    New Learning Contextualised supporting material

    Represent and use number bonds and related subtraction

    facts within 20.(1)

    Add and subtract one digit and two digit numbers to 20,

    including zero. (2)

    Read, write and interpret mathematical statements

    involving addition (+), subtraction (-) and equals (=) signs.

    (3)

    Solve one step problems that involve addition and

    subtraction, using concrete objects and pictorial

    representations, and missing number problems such as 7=

    ?–9 (4)

    To compare, describe and solve practical

    problems for lengths and mass.

    To measure and record length and mass

    (using non-standard and standard units).

    Calculating with amounts in a variety of

    contexts and in the environment.

    Use denominations of coins to calculate

    NRICH

    1.

    Domino Sorting * I

    One Big Triangle * G

    Ladybirds in the Garden ** P

    Number Lines * P

    Pairs of Numbers * I

    Weighted Numbers * G P

    Butterfly Flowers * P

    2.

    Two Dice * I

    Find the Difference ** G

    Sort Them Out (1) * G

    3.

    2,4,6,8 *** P

    How Do You See it? * P

    What Could It Be? * I

    4

    The Tall Tower *** P

    NCETM

    Addition and subtraction –

    https://www.ncetm.org.uk/resources/42522

    Hamilton Trust Weeks

    Addition and subtraction -1,2,3,7,9,10,11

    The Maths Shed - http://www.mathematicshed.com/index.html

    http://nrich.maths.org/public/viewer.php?obj_id=4940http://nrich.maths.org/public/viewer.php?obj_id=192http://nrich.maths.org/public/viewer.php?obj_id=1816http://nrich.maths.org/public/viewer.php?obj_id=5652http://nrich.maths.org/7233http://nrich.maths.org/public/viewer.php?obj_id=4726http://nrich.maths.org/public/viewer.php?obj_id=229http://nrich.maths.org/150http://nrich.maths.org/public/viewer.php?obj_id=6227http://nrich.maths.org/6885http://nrich.maths.org/public/viewer.php?time=1188566002&obj_id=175http://nrich.maths.org/8296http://nrich.maths.org/10479http://nrich.maths.org/2354https://www.ncetm.org.uk/resources/42522http://www.mathematicshed.com/index.html

  • Objective Fluency Reasoning Problem Solving

    Add a

    nd s

    ubtr

    act

    one

    digit a

    nd t

    wo

    digit n

    umbers

    to

    20,

    includ

    ing

    zero

    .

    Clare is working out

    19 – 12 = She begins building both numbers with

    base 10. Explain why she doesn’t need to do this.

    Martin is subtracting single digits from 20. He

    says, “The lowest answer I can get is 11.” Do you

    agree? Explain why.

    Explain why 20 – 10 = 10

    Look at the digit cards below.

    How many calculations and answers can you make? How

    do you know you have found them all?

    Roll three dice and add the numbers to get an answer.

    Use a ten frame to help if needed. What are the

    highest and lowest possible answers? How do you know?

    How many part-whole models can you make where the

    whole number is 20? Can you have 3 parts

  • Read, write

    and

    int

    erp

    ret

    math

    ematica

    l st

    ate

    ment

    s invo

    lving

    addition

    (+), s

    ubtr

    act

    ion

    (-) and

    equ

    als

    (=) sign

    s.

    What word could be used in the

    calculation below?

    33_________ 12 = 2

    There were 15 people in the cinema

    and 23 people joined them. Can you

    write a calculation to show this?

    Use the cards below to create a

    mathematical statement.

    A year one class have been using the equals sign.

    Their teacher presents them with the following

    calculation: 17 + 3 = 30 – 10

    They are confused why the teacher has put 30

    after the equals sign and not 20.

    Can you explain this to them?

    The following numbers are given to 2 children.

    14, 6, 20

    Harjas says “I will use an addition sign for this

    calculation.”

    Kaemon says “This will need a subtraction sign.”

    Who is right? Explain why.

    Look at the picture below.

    How many calculations can you create from it?

    Using the numbers 1-40, how many calculations can you

    create? Have you used a strategy?

    Two numbers added together make 8. The difference

    between them is 2. What are the two numbers?

  • Solve

    one

    ste

    p pro

    blems

    that

    invo

    lve a

    ddition

    and

    subtr

    act

    ion,

    using

    con

    crete

    obje

    cts

    and

    picto

    rial

    repr

    ese

    ntation

    s and

    missing

    num

    ber

    prob

    lems.

    A farmer had 35 sheep. He sold 8

    of them to his farmer friend. How

    many did he have left?

    Each animal got one bag of food in

    the morning and one at night. How

    many bags of food are used in a

    day?

    A man counted 38 red and blue cars

    in an hour. 9 of them were red. How

    many blue cars did he count?

    There are 7 flowers in a vase and Kelsey is

    holding 8 in her hand.

    She wants to know the total number of flowers

    but doesn’t know whether to add or subtract.

    Can you explain which she needs to do?

    I have 4 more sweets than Olivia has. How many

    books must I give Olivia so that we have the

    same number of sweets? Explain how you know.

    Phil is using ten frames to solve 9 + 3. He moves one

    over to make 10 + 2.

    He says, “This is the best way to do this sum.”

    Do you agree? What other ways can you make 12?

    Justify which is the best way.

    Keeley says she has at least 10 more sweets than

    Stacey does. What are all the possible amounts of

    sweets Keeley and Stacey could have from the pile of

    sweets below?

  • Additiona

    l re

    aso

    ning

    pro

    mpt

    s

    Continue the pattern

    10 + 8 = 18

    11 + 7 = 18

    Can you make up a similar pattern for the number 17?

    How would this pattern look if it included subtraction?

    Missing numbers

    9 + = 10

    10 - = 9

    What number goes in the missing box?

    Working backwards

    Through practical games on number tracks and lines ask questions such

    as “where have you landed?” and “what numbers would you need to

    throw to land on other given numbers?”

    What do you notice?

    11 – 1 = 10

    11 – 10 = 1

    Can you make up some other number sentences like this involving 3

    different numbers?

    Making an estimate

    Pick (from a selection of number sentences) the ones where the answer

    is 8 or 9.

    Is it true that?

    Is it true that 3+4 = 4 + 3?

    Fact families

    Which four number sentences link these numbers? 12, 15, 3

    What else do you know?

    If you know this:

    12 – 9 = 3

    what other facts do you know?

    Missing symbols

    Write the missing symbols ( + - =) in these number sentences:

    17 3 20

    18 20 2

    Convince me

    In my head I have two odd numbers with a difference of 2. What could

    they be?

    Convince me

    Missing numbers

    Fill in the missing numbers (using a range of practical resources to

    support)

    12 + = 19

    20 - = 3

  • Multiplication and Division 2 weeks

    Non- Statutory Guidance

    Through grouping and sharing small quantities, pupils begin to understand: multiplication and division; doubling numbers and quantities; and finding

    simple fractions of objects, numbers and quantities. They make connections between arrays, number patterns, and counting in twos, fives and tens

    New learning Contextualised supporting material

    Count in multiples of twos, fives and tens.

    Solve one step problems involving multiplication and division, by calculating the

    answer using concrete objects, pictorial representations and arrays with the

    support of the teacher. (1)

    To be able to divide by grouping

    To be able to divide by sharing

    Money

    Measures

    Everyday contexts

    Link to theme/text

    NRICH

    1

    Lots of Biscuits! * P

    Share Bears * G

    Doubling Fives * I

    NCETM

    Multiplication and division -

    https://www.ncetm.org.uk/resources/42572

    Hamilton Trust Weeks

    Autumn – 7

    Summer – 1

    The Maths Shed - http://www.mathematicshed.com/index.html

    Objective Fluency Reasoning Problem Solving

    Cou

    nt in

    multiples

    of t

    wos,

    fives

    and

    tens

    .

    What are the first 5 multiples of 10?

    Work out 6 x 5

    Find the missing number:

    2 x __ = 18

    __ x 5 = 35

    90 = 10 x __

    Amrit is counting in twos. She says the number

    11. Explain the mistake she has made.

    Balraj says it’s easy to know if a number is a

    multiple of 5. Can you explain why?

    Danielle says, “I know 50 is in the ten times

    table so I know it is also in the five times table.”

    Is she correct? Explain why.

    Are there any numbers in the 2 times table that are

    also in the 5 and 10 times table?

    Have you found them all? Have you used a strategy to

    find them all?

    If you know the following information

    2 x 4 = 8

    5 x 6 = 30

    7 x 10 = 70

    What other facts do you know? You can use addition,

    subtraction and multiplication.

    There are 8 children sat on a table. They each have to

    complete 2 calculations. How many calculations are

    completed altogether?

    http://nrich.maths.org/6883http://nrich.maths.org/public/viewer.php?obj_id=2358http://nrich.maths.org/10588https://www.ncetm.org.uk/resources/42572http://www.mathematicshed.com/index.html

  • Solve

    one

    ste

    p pr

    oblems

    invo

    lving

    multiplication

    and

    division,

    by c

    alculating

    the

    ans

    wer

    using c

    oncr

    ete

    obje

    cts,

    pict

    orial re

    prese

    ntations

    and

    arr

    ays

    with t

    he s

    uppo

    rt o

    f th

    e

    teach

    er.

    Use counters:

    a) To double 3

    b) To halve 8

    Harry has 5 friends. Each friend gives

    him 3 sweets. How many sweets does he

    have altogether?

    Kayleigh has 30 flowers to share between

    3 vases equally. How many flowers can be

    put in each vase?

    Saskia says, ‘You can double any number but you

    can only halve some numbers.’ Can you prove this

    using counters or explain it to me?

    Here is an array.

    Mandy says, “I can find four facts from this.” Do

    you agree? Convince me!

    True or false? 2 + 2 + 2 + 2 + 2 = 2 x 5

    Explain why.

    6 goats have twins. How many goats are born?

    How many multiplication and division facts can you make

    from using 12 cubes?

    15 sweets are shared equally between 3 children. How

    many do they get each?

    Write down what different objects you could use to

    solve this. Write an explanation to your partner to help

    them solve it. Write your own question.

    Additiona

    l re

    aso

    ning

    pro

    mpt

    s

    Making links

    If one teddy has two apples, how many apples will three teddies have?

    Here are 10 lego people If 2 people fit into the train carriage, how many carriages do we need

    Practical

    If we put two pencils in each pencil pot how many pencils will we need?

    Spot the mistake

    Use a puppet to count but make some deliberate mistakes.

    e.g. 2 4 5 6

    10 9 8 6

    See if the pupils can spot the deliberate mistake and correct the puppet

  • Fractions 2-3 weeks

    Non Statutory guidance

    Pupils are taught half and quarter as ‘fractions of’ discrete and continuous quantities by solving problems using shapes, objects and quantities. For

    example, they could recognise and find half a length, quantity, set of objects or shape. Pupils connect halves and quarters to the equal sharing and

    grouping of sets of objects and to measures, as well as recognising and combining halves and quarters as parts of a whole.

    New learning Contextualised supporting material

    To understand that a fraction is parts of a whole e.g my body is the whole.my arm is

    part of the whole.

    Recognise, find and name a half as one of two equal parts of an object, shape or

    quantity. (1)

    Recognise, find and name a quarter as one of four equal parts of an object, shape or

    quantity

    Money, shape, measure

    and everyday contexts.

    NRICH

    1

    Halving ** I

    Happy Halving *** P

    Fair Feast * P

    NCETM - https://www.ncetm.org.uk/resources/42627

    Hamilton Trust Weeks

    Autumn-6

    Summer -1,9

    The Maths Shed -

    http://www.mathematicshed.com/index.html

    Objective Fluency Reasoning Problem Solving

    http://nrich.maths.org/public/viewer.php?obj_id=1788http://nrich.maths.org/217http://nrich.maths.org/2361https://www.ncetm.org.uk/resources/42627http://www.mathematicshed.com/index.html

  • Reco

    gnise, find

    and

    name a

    half

    as

    one o

    f tw

    o equ

    al pa

    rts

    of a

    n

    obje

    ct, sh

    ape

    or

    quant

    ity.

    Shade a half of each object.

    Find ½ of 8

    How many halves of the apples below have

    been eaten?

    Arvind has a shape that is split into 4 equal parts.

    He shades in 2 parts and says “I have shaded half

    of my shape.” Do you agree? Explain why.

    True or false? I use the 2 times table to find a

    half of an amount. Convince me!

    Matthew is finding halves. He says, “It is hard to

    find half of an odd number.” Do you agree? Explain

    why.

    Can you split each of these shapes into two equal halves?

    Explain why for each shape.

    Here is a tower made from cubes.

    Which tower is showing double this tower? Explain why using

    the word ‘half’.

    - A tower of 7 cubes.

    - A tower of 8 cubes.

    - A tower of 6 cubes.

    Reco

    gnise, find

    and

    name a

    quart

    er

    as

    one o

    f fo

    ur e

    qual

    part

    s of

    an

    obje

    ct,

    shape

    or

    quant

    ity.

    Shade a quarter of each shape.

    Find ¼ of 12.

    How many quarters are in 2 whole apples?

    Sophie has split a square into 2 equal

    parts. She says, “I can also find one

    quarter of this square.” Do you agree?

    Explain why.

    True or false? If I can find half of an

    amount, this helps me to find a quarter

    of an amount.

    Sometimes, always, never. 4 quarters are

    always made up of 4 equal parts.

    Get a circle template, rectangle template and square template.

    Each template represents 1 whole. Can you these into

    quarters? Are they equal?

    Use a bag of skittles to start with different whole numbers.

    How many different quarter amounts can you find? Record

    them in a table.

    Additiona

    l

    reaso

    ning

    pro

    mpt

    s What do you notice?

    Choose a number of counters. Place them onto 2 plates so that there is the same number on each half.

    When can you do this and when can’t you?

    What do you notice?

    True or false?

    Sharing 8 apples between 4 children means each child has 1 apple.

  • HCAT Maths Assessment Indicators of Depth of Learning Stage 1

    Maths Strand Developing Secure Mastered Number and

    Calculation

    Recall numbers whilst

    counting to an across 100

    forwards as a whole class

    and with prompts such as a

    number line / number

    square

    Recognise the numbers to

    100

    Find one more or one less

    Recall multiples of 2, 5 and

    10

    Recall number bonds to 20

    Follow a model to add and

    subtract 1 and 2 digit

    numbers to 20 with the

    use of practical equipment

    Recall numbers whilst counting to

    and across 100 forwards and

    backwards

    Compare numbers within 100

    using language of comparison

    smaller larger

    Estimate a number of objects

    within 100

    Identify if a number is one more

    or one less and explain the

    difference

    Sort multiples of 2, 5 and 10 into

    given categories

    Add and subtract numbers to 20

    explaining the method used.

    Solve one step problems using

    concrete objects and pictorial

    representations (+, - and x)

    Solve simple problems involving

    grouping and sharing using

    pictorial representations and

    arrays.

    Prove that one number is larger / smaller than another number

    Rapidly recall numbers whilst counting to and beyond 100

    Rapidly recall one more or one less than a given number and prove that a

    number is 1 more or less.

    Compare and sort multiples of 2, 5 and 10 explaining patterns and making

    connections.

    Reason about numbers within the programme of study

    Demonstrate fluency in adding and subtracting numbers to 20

    Reason about the mental method used to add and subtract numbers to 20

    Solve one step problems demonstrating fluency and reasoning across a

    range of contexts

    Make connections between addition and subtraction

    Fractions Find a half practically of an object or shape

    Find a quarter practically

    of an object or shape

    Find and name a half as one of 2

    equal parts or a shape, object or

    quantity

    Find and name quarter as one of 4

    equal parts of a shape, object or

    quantity

    Consistently find a half or a quarter of a shape, object or quantity.

    Make connections between finding a halve and grouping and sharing by 2

    Make connections between finding a quarter and grouping and sharing by

    4

  • Explain how you find a half or a

    quarter of an object or shape

    Measures Name the value of different denominations of

    coins and notes

    Use the language of

    chronological order

    Name the days of the

    week, weeks, months and

    years

    Tell the time to the hour

    and half past the hour

    Draw the hands on a clock

    following a model

    Record and describe

    measures in different

    contexts (lengths, heights,

    mass, weight, capacity,

    volume and time)

    Recognise and know of the value

    of different denominations of

    coins and apply this in practical

    contexts

    Sequence events in chronological

    order using language

    Recognise and use the language

    relating to dates

    Compare different measures

    Solve practical problems involving

    measures in different contexts

    (lengths, heights, mass, weight,

    capacity, volume and time)

    Apply knowledge of the value of different denominations of coins and

    notes in problem solving in practical contexts

    Consistently tell the time to the hour and half past the hour and use this

    in solving practical problems involving time

    Make reasoned choices on what unit of measure to measure with (e.g

    measure in m or cm and measure in g or kg)

    Order and arrange different measures

    Test hypothesis about measures (e.g object A will weigh more than

    object B and how would we test that)

    Construct and design using knowledge of measures (this could be on paper

    or in practical contexts i.e building a den with measurements, building a

    tower with measures)

    Demonstrate fluency and reasoning when solving practical problems

    involving measures in a range of contexts.

    Geometry Name common 2D objects Name common 3D objects

    Name and recognise common 2D

    objects

    Name and recognise common 3D

    objects

    Contrast different 2D shapes according to their properties

    Persuade / Prove that a shape is a particular shape according to

    properties.

    Construct and design using knowledge of 2D and 3D shapes

    Demonstrate fluency and reasoning in problem solving using 2D and 3D

    shapes.