unit 1 place value by HC120617011114

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Unit 1                                                                  Three daily lessons
Place value

Year 6
Autumn term
                                                                                                                         This Unit Plan is designed to
                                       Unit Objectives                                                                   guide your teaching.
                                               Year 6
                     Multiply and divide decimals by 10 or 100 and integers by            Page 7                        You will need to adapt it to
                      1000, explain the effect.                                                                          meet the needs of your class.

                     Identify and use appropriate operations (including combinations      Page 85
                      of operations) to solve problems involving numbers and
                      quantities based on ‘real life’ or money, using one or more
                      steps.                                                                                         Resources needed to teach this unit:

                                                                                                                         Resource sheet 1.1
                                                                                                                         Resource sheet 1.2
                                         Link Objectives                                                                 Resource sheet 1.3
                                                                                                                         Resource sheet 1.4
                           Year 5                                                 Year 7                                 Resource sheet 1.5
                                                                                                                         Resource sheet 1.6
     Multiply and divide any positive integer up to             Understand and use decimal notation and place
      10 000 by 10 or 100 and understand the effect.              value; multiply and divide integers and decimals       Resource sheet 1.7
                                                                  by 10, 100, 1000 and explain the effect.               Resource sheet 1.8
     Read and write whole numbers in figures and                                                                        Metre stick
      words and know what each digit represents.                 Compare and order decimals in different                OHP calculator (optional)
                                                                  contexts.                                              Whiteboards
     Use the vocabulary of comparing and ordering                                                                       Related Key Stage 2 national test
      numbers, including symbols such as <, >, ≤ , ≥ ,                                                                    questions
      =.

     Give one or more numbers lying between two
      given numbers.

     Order a set of integers less than 1 million.


(Key objectives in bold)


                                                                           NNS Unit Plans
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 Planning                         Day One                              Unit 1 Place value                                                                   Term: Autumn                     Year Group: 6
 sheet
 Oral and Mental                                                       Main Teaching                                                                                                       Plenary
 Objectives and        Teaching Activities                             Objectives and                     Teaching Activities                                                              Teaching Activities/ Focus
 Vocabulary                                                            Vocabulary                                                                                                          Questions
Read whole                  Use Resource sheet 1.1 on OHP or         Multiply and divide decimals     Using Resource sheet 1.1 on OHP or board. Cover 30 and 2 (32).                      Show class Resource sheet 1.2
numbers and                  large display version. Cover 0.3, 0.05   by 10 or 100 and integers                                                                                              and work through it with pupils
decimals.                    and 0.007.                               by 1000 and explain the          Q What is 10 x bigger than 32?                                                        explaining what goes in empty
                                                                      effect.                                                                                                                boxes.
Use decimal                Q What is covered up?                                                            Model moving counters to 300 and 20.
notation for tenths,                                                                                                                                                                       Q Why does 4.6 x 10 x 10 give me
hundredths and               e.g. 3 tenths, 5 hundredths, 7                                            Q How do we make it 100 x bigger?                                                     the same answer as 4.6 x 100?
thousandths.                 thousandths.
                                                                                                            Draw out from children’s responses that x 100 is the same as x 10 x 10.        Q Can you give me a single step
Multiply or divide           Repeat with 7 and 0.003, 40, 2 and                                                                                                                              operation that will be the same as
decimals by 10.              0.2, 0.01.                                                                     Repeat with 5.6 to consolidate idea.                                             ÷ 10 ÷ 10?

                            Ask children to use whiteboards to                                            Write a number in the middle of the board and begin to explore different        Show children the Resource sheet
                             show decimal fraction equivalents of:                                          ways of reaching the target number using a ‘spider’ diagram (shown               1.3 to support discussion and to
                                                                                                            below).                                                                          extend examples.
                             2 tenths and 5 hundredths
                             13, 3 hundredths and 1 thousandth.                                             Suggest that children begin with one step. Refer to place value chart to          0.4           17.6         3
                                                                                                            support explanation.                                                              0.33           30        156
                                                                                                                                                 54 x 100                                      40           1.56       1.76
                                                                                                                                                                       540 x 10
                                                                                                              5.4 x 1000
                                                                                                                                                                                       HOMEWORK – Give the children four
                                                                                                                                                                                       numbers from the Resource sheet 1.3.
                                                                                                                                          5400                                         Ask them to write 1, 2 and 3 step
                                                                                                                                                                                       equivalent calculations for each
                                                                                                           0.54 x 100 x 100                                      54 x 10 x 10          number using x and ÷.

                                                                                                                                                                                       e.g.          4 x 10,
                                                                                                                                      5.4 x 10 x 10 x 10                                             4000 ÷ 10 ÷ 10
                                                                                                                                                                                                     0.4 x 10 x 10
                                                                                                            Ask children to work in groups to develop their own spider diagram for
                                                                                                            other numbers showing equivalent calculations.
                                                                                                                                                                                           By the end of the lesson children
                                                                                                           Using Resource sheet 1.1, repeat as above using ÷ 10 and ÷ 1000.               should know that:
                                                                                                            Choose 4200 and 42 and ask children what to divide 4200 by to get 42.
                                                                                                            Show the one-step and two-step methods.                                         Multiplying by 1000 is
                                                                                                                                                                                             equivalent to multiplying by 10,
                                                                      VOCABULARY                            4200 ÷ 100 = 42                                                                  then by 10, then by 10 or is
                                                                      digits                                4200 ÷ 10 ÷ 10 = 42                                                              equivalent to multiplying by 10
                                                                      multiply                                                                                                               and then 100 and similar
                                                                      divide                               Set pupils the task of adding 6 more legs to their spider diagram using          equivalents for dividing by
                                                                      place value                           division operations.                                                             1000.

                                                                                                                                                                                           (Refer to supplement of examples,
RESOURCES                                                                                                                                                                                  section 6, page 7.)
Resource sheet 1.1                                                    RESOURCES
Whiteboards                                                           Resource sheets 1.1, 1.2,
                                                                      1.3


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 Planning                      Day Two                    Unit 1 Place value                                                                               Term: Autumn                        Year Group: 6
 sheet
 Oral and Mental                                                     Main Teaching                                                                                                        Plenary
 Objectives and       Teaching Activities                            Objectives and                      Teaching Activities                                                              Teaching Activities/ Focus
 Vocabulary                                                          Vocabulary                                                                                                           Questions
Read whole               Write a two-digit number on board,        Multiply and divide decimals          Show children a metre stick and ask them to quickly identify                    Key a four-digit number into an OHP
numbers and               get children to count in 10s/100s/        by 10 or 100 and integers              something in the room that is 1 m in length.                                     calculator.
decimals.                 1000s backwards and forwards to           by 1000 and explain the
                          respond to direction cards. Use the       effect.                                Ask them to think of examples of objects or distances that are 10 x,           Q What will happen to this number
Multiply and divide       arrow cards on Resource sheet 1.4.                                               100 x, 1000 x, 10 000 x longer.                                                  when I multiply by 100? What will
numbers by 10, 100                                                                                                                                                                          the display show?
and 1000 mentally.                                                                                         Take feedback and show children a clear method of how to record
                                                                                                           their own examples in their books recording on the board.                        Repeat with other examples and use
                          Use other starting numbers                                                                                                                                        x 10, x 1000, ÷ 10, ÷ 100, ÷ 1000.
                          (Resource sheet 1.3 – homework)                                                         10 000m         Road to next town
                          hold up a card from Resource sheets                                                      1000m          Four times round school                                   Take feedback on each and use OHP
                          1.5, 1.6, 1.7 (x 10, x 100, x 1000) and                                                    100m         Fence round school playground                             calculator to check.
                          ask children to give and explain their                                                      10m         Classroom
                          answers.                                                                                     1m         Door width

                         Repeat holding up card from ÷ 10, ÷                                             Later get children to continue the pattern to record the length of items       By the end of the lesson the
                          100, ÷ 1000 and ask children to give                                             that are 10 x, 100 x, 1000 x smaller than 1m.                                  children should know that:
                          and explain their answers.
                                                                                                             10cm = 0.1m             1cm = 0.01m             1mm = 0.001m                  When you multiply a number by
                                                                                                            Length of pencil       Width of thumb nail     Thickness of 5p coin             10, 100, 1000 the digits move 1, 2,
                                                                                                                                                                                            3 places to the left.
                                                                                                           Extend the activity to ask questions like:                                      When you divide a number by 10,
                                                                                                                                                                                            100, 1000 the digits move 1, 2, 3
                                                                                                         Q What is one hundredth of a pencil length?                                        places to the right.

                                                                                                         Q What is about 100 times the width of a thumbnail?                              (Refer to supplement of examples,
                                                                                                                                                                                          section 6, page 7.)
                                                                                                         Q How many times will a pencil go round the school fence?

                                                                                                          Write on the board:

                                                                                                           1.37       24.5       702

                                                                                                           Give out calculators. Tell the children they are going to use these
                                                                    VOCABULARY
                                                                                                           numbers to make a target number. They can multiply each of these
                                                                    decimal place
                                                                                                           three numbers by 10 or 100 or divide each of these numbers by 10 or
                                                                    tens
                                                                                                           100, then add these numbers.
                                                                    hundreds
VOCABULARY                                                          thousands
                                                                                                         Q How close to 100 can you get?
tens                                                                tenths
hundreds                                                            hundredths
thousands                                                           thousandths                            Collect answers and discuss strategies. Repeat giving other sets of
                                                                                                           numbers as targets.


RESOURCES                                                           RESOURCES                                                                                                         RESOURCES
Resource sheets                                                     Metre stick                                                                                                       OHP calculator
1.4, 1.5, 1.6, 1.7                                                  Calculators



                                                                                                   NNS Unit Plans
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 Planning                       Day Three                      Unit 1 Place value                                                                                   Term: Autumn                      Year Group: 6
 sheet
 Oral and Mental                                                               Main Teaching                                                                                            Plenary
 Objectives and           Teaching Activities                                  Objectives and                        Teaching Activities                                                         Teaching Activities/ Focus
 Vocabulary                                                                    Vocabulary                                                                                                        Questions
Read whole numbers           Ask children to enter any six-digit number      Multiply and divide decimals by     Explain to children that they can use the place value chart                    Write this question on the
and decimals.                 (with one decimal place) in their calculators   10 or 100 and integers by 1000       (Resource sheet 1.1) to support multiplication and division problems            board:
                              and secretly enter one yourself.                and explain the effect.              using money.
Use decimal notation                                                                                                                                                                               Canned drinks come in packs
for tenths, hundredths        Ask them to change their number to match        Solve word problems, involving          Write on the board,                                                          of 10. There are 10 packs in
and thousandths.              your number, altering one digit at a time by    numbers and quantities, based                  How many £10 notes are in £130?                                       each box. 10 boxes are
                              adding or subtracting according to criteria     on ‘real life’, money, using one                                                                                     placed in a crate. If 10 crates
Develop calculator            such as:                                        or more steps.                          Present the calculations as £130 ÷ £10 (emphasising that the units           cost £2700 and the
skills and use a                                                                                                      are the same but the answer is the number of £10 notes).                     shopkeeper sells the drinks
calculator effectively.       ─ I have six tenths                                                                                                                                                  for 55p how much profit does
                              ─ My number contains eight hundreds                                                     Illustrate the calculation using the place value chart and extend to         he make?
                              ─ It is greater than two hundred thousand                                               how many £100 in £1300, 10p coins in £120?
                                but less than three hundred thousand.                                                                                                                              Work through the problem
                                                                                                                      Show that we can also work out how many £50 notes are in £700.               with the children.
                              When sufficient clues have been given ask
                              children to reveal their numbers. Reveal                                               Q If there are seven £100 notes in £700, how many £50 notes are             Q What happens to digits
                              yours for children to check.                                                             there in £700? Do you need to multiply or divide?                           when you multiply or divide
                                                                                                                                                                                                   by 10?
                                                                                                                       Model on the board        2 x £50     = £100
                                                                                                                                                 7 x £100    = £700
                                                                                                                                                 14 x £50    = £700

                                                                                                                       Use Resource sheet 1.8 to aid understanding.                              By the end of the lesson
                                                                                                                                                                                                 children should be able to:
                                                                                                                      Extend to 50p coins, ask how many 50p coins in £45, and to £20
                                                                                                                       notes and 20p coins.                                                       Multiply and divide
                                                                                                                                                                                                   decimals by 10 or 100 and
                                                                                                                     Q What strategies did you use?                                                integers by 1000 and
                                                                                                                                                                                                   explain the effect.
                                                                                                                      Write a word problem on the board.
                                                                                                                                                                                                 (Refer to supplement of
                                                                                                                       Canned drinks cost 48p and come in packs of 10.                           examples, section 6, page 7.)

                                                                                                                       There are 10 packs in each box. Ten boxes are placed in a crate.
                                                                                                                       How much do 1, 10, 100 crates cost?
                                                                              VOCABULARY                               Set similar problems for children to work through, model structure
                                                                              tenths                                   for recording in books.
                                                                              hundredths
                                                                              thousandths



RESOURCES                                                                     RESOURCES
Resource sheet 1.1                                                            Resource sheet 1.1
OHP/board                                                                     Resource sheet 1.8
Whiteboards                                                                   Related KS2 national test
Calculators                                                                   questions



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