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Lynsey Louise

NameCounting, partitioning and calculating
Ownerlynsey louise
Level3
TopicNumeracy
UnitA2
Descriptionweekly plan for Year 3
File 1605_week 2.doc
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Unit:

 

Numeracy WeeklyPlanning Sheet Unit: A2 Weekbeginning Spring7.01.07 Year group:3

Unit A2-Counting,partitioning and calculating

 

Key LearningObjectives:
Partitionthree-digit numbers into multiples of 100, 10 and 1 in differentways

 

Deriveand recall all addition and subtraction facts for each number to20, sums and differences of multiples of 10 and number pairs thattotal 100

 

Addor subtract mentally combinations of one-digit and two-digitnumbers

 

Deriveand recall multiplication facts for the 2, 3, 4, 5, 6 and 10 timestables and the corresponding division facts: recognise multiples of2, 5, or 10 to 1000

Childspeak =I know the 2,5,10 times-tables

I can use multiplication facts to answer division questions.

 

Describeand explain methods, choices and solutions to puzzles and problems,orally and in writing, using pictures and diagrams

 

Roundtwo-digit or three-digit numbers to the nearest 10 or 100 and giveestimates for their sums and differences

 

Multiplyone-digit and two-digit numbers by 10 or 100, and describe theeffect

 

Followup others' points and show whether they agree or disagree in awhole-class discussion

 

Year 4challenge objectives

 

 

Year 2objective

 

 

Mental test on CDon 11.1.08 all groups

 

Homework set on8.1.07

For a test on15.1.07

2bs

2b 8To be able todouble all numbers up to 20

 

2as

2a 11 To be able toconvert into pence and vice versa

 

3cs/3bs

3c 8 3b 5 I canround two digit numbers to the nearest 10 or 100

 

3as

3a 4 To roundnumbers up to 1000 to the nearest 10 or 100

See folder Num7.1.08 for homework sheets for each group.

 

Use Mental Maths inMins challenge sheets here too

.

 
 

NumeracyRecords KEY LEARNING OBJECTIVES

2c-2bgroup

2b 6 Ican count on or back in 2s, 5s and 10s

2b 5 Ican explain the value of each digit in a number up to 99 andpartition numbers

2b 3 Ican read order and write all numbers to 100

2b 9 Iknow number bonds to 10 (+ and -)

2bInverse + and

odds andevens

2b-2a group

2a 3 Ican recognise and extend pattern sequences

2a 5 Ican partition a number into hundreds, tens and units

2a 7 Iknow my 2x, 5x and 10 x tables

2a 4 Ican understand other words for + and when solving aproblem

 

2a 3c group

3c 1 Ican explain how to solve a word problem

3c2 Iam starting to try different ways to solve a problem

3c 5 Ican order numbers to 1000

3c 6 Ican order negative numbers from -10 to 1

3c 14 Ican add two numbers mentally (no carrying)

3c 15 Ican subtract 2 two digit numbers if there is no exchangeinvolved

 

3c-3b group

3b 1 Ican check my work using estimates and inverse

3b 2 Iknow and use mathematical symbols and know whether to +, -, x ordivide when

solvinga problem

3b4 Ican read and write numbers in thousands and know what each digitrepresents

3b 7 Ican work out different pairs of numbers with a given sum ordifference

 

 

3b 3a group

3a 2 Ican select mental methods to calculate answers to writtencalculations

3a 3 Ican order a set of 4 digit numbers

3a 7 Ican work out quickly any pairs of numbers that total 100

3a 8 Ican work out sums like 267 + ___ = 300 mentally and or in writtenform for + and -

 

 

Extension

3a 4 I can round upany number less than 1000 to the nearest 10 or 100

3a 6 I can mentally+ or any pair of two digit numbers (including bridging 10)

 

Session

BasicSkills

Oral andMental

Main Activityand

ICT opps.

Plenary

Assessmentcriteria

Evaluation

Rounding to nearest 10 or100

Monday

 

 

 

Count on from and back to zero insingle-digit steps or multiples of 10.

 

Ask the children to count in twosfrom zero to 100, then back until you say stop. What was the lastnumber you said? What would the next number be? And the next?Why?

Repeat this for counting in fives andtens.

 

Develop the game by counting acrossthe hundreds bridge. For example count on from 94 until you reach194 and back again. Count back from 187 to 87 etc..

 

Main teaching

Write the headings Hundreds, Tensand Units on the board. Discuss what each column represents. Write548 on the board. What does the 5 represent? The 8? repeatthis with other three digit numbers. Can they write the number inwords on the w/bs?

 

Give the children the digits 3, 6 and7. How many three digit HTU numbers can they write on theirwhiteboards? Share results and ask children who complete quickly towrite the numbers out in words.

 

Activities

NB Keep 3cs and above on carpet toexplain how to use rounding to estimate answers to sums

 

Group 3a + 3b

WALT Read and write numbersin thousands and know what each digit represents.

Collins 4 Bk 1 Pg 5 Refresher andPractice section

Making 4 digit numbers and knowingwhat each digit represents.

 

 

Group 3c

WALT Read and write numbers inthousands and know what each digit represents.

Collins 4 Bk 1 Pg 5 Refreshersection

Making 4 digit numbers and knowingwhat each digit represents. ( use Practice section as anextension)

 

Group 2a

WALT To partition a number intohundreds, tens and units.

Ginn4 Bk 1 Pg 13

Partitioning 3 digit numbers andknowing what each digit represents in words and figures.

 

Group 2b

WALT To partition numbers up to100

Collins Y3 book 2 p 12

Use number line or 100 sq tosupport.

Extension- use 0-9 cards to make 3digit numbers and explain what each digit represents

 

 

 

Using some of the numbers thechildren made in the beginning of the session, ask the children toorder them from the smallest to the largest/ largest to smallest.How do they know which is the smallest/largest number?

 

Extension

3bs and 3as use 3 digits to make 6different 3 digit numbers on board then swap for partner orderthem.

 

Can children explain how they knowthe value of the digits in each column?

 

Do children know how the digits ina number change when they count in 10s or 100s

 

3as

Count on in tens from agiven number. Which digits change? Why does the ones (units) digitnot change? When does the hundreds digit change, and what happensto the tens digit in this case? What happens when you countback?

 

Self-assessment

by traffic lights

 

 

 

Children found counting across the100 bridge challenging, especially counting in 3s.

 

 

Understanding of place value was verysolid and partitioning didnt flag up any areas inparticular.

Jake Foxall and Jack Cody veryindependent and proud of their work today.

 

Presentation was lacking in some ofthe boys big push on number formation and spacing out ofwork

Adding 3or 4 small numbers

BasicSkills

Set homeworkSee folder

Tuesday

 

 

Multiply numbers by 10 and 100 encourage quick recall of answers.

Use measures to extend more able andquestions as word problems. Children show answers on white boardsor using number cards.

2bs have 100 sq to support.

 

Teaching Focus

Nb 2bs to have 100 square tohelp

 

On the board write 5 x 10. Ask thechildren what is 5 multiplied by 10? Repeat this for other x10 ofsingle digit numbers. What happens when we multipy by 10? Write TUheadings above 5, then 50, 6 and 60 and so on. Emphasise theunderstanding that when multiplying by 10 the digits shift oneplace to the left. Now ask what is the value of the 5 in 5? Or in50?

Introduce the concept of dividing by10 as the inverse operation. What is 30 divided by 10? 500 dividedby 10? 100 divided by 10? Discuss how the digits move whenmultiplying and dividing by 10.

 

 

 

 

 

Activities

3bs and 3as

WALT to select mental methods tocalculate answers to written calculations.

 

Multiplying and dividing each numberon the easiteach screen by 10.

 

3cs

WALT to select mental methods tocalculate answers to written calculations.

Ginn 4 Bk 1 Pg 11 Use word problemsto answer questions on multiplying and dividing by 10.

 

2as

WALT To multiply a single digit by10 or 100

 

Collins 3 Bk 1 Pg 44 writingmultiplication sentences for each abacus picture.

 

2bs

WALT To count on or back in10s

 

Collins 3 Bk 1 Pg 32 extendingnumber sequences by counting on in 10s

 

 

 

Ask the children to completequestions such as...

 

_ x 10 = 70

_ x 10 = 50

 

_ x 100 = 400

 

 

3as what could the answers be for...

 

_ x_ x_ = 300

How many solutions can theyfind?

 

Can you explain how you worked thisout?

 

Can they explain how the digits movewhen multiplied by 10 or 100?

 

Self-assessment by trafficlights.

 

 

Mental session flagged up a few weakareas in multiplication x6 and some hesitant on x4s

 

recall was quite punchy and chosechildren reluctant to put up their hand to check understanding. -Emma and Ellie

 

Abacus picture for 2as was difficultfor them to grasp independently and needed some support to explain once that was done they worked very well.

Adding 2 two digit numbersand looking for patterns

Wednesday

2bs Addition as inverse ofsubtraction

 

Stick multiple of 5 cards face downon the board. Divide class into two teams, ask one person to comeand turn over 2 cards if the numbers are related as doubles theteam keeps the pair. If no relationship turn back over in sameplace as found.

Review

45 +36 = 48 ask children to writeother facts either addition or subtraction on IWBs

Discuss 3 sums and try with otherexamples e.g.97- 43=54

 

Teaching Focus

Write 36+30 on the board and askchildren to offer a method. Then try 36+29 link to strategiesusing 9,10, 11 e.g. +30 then -1. Apply this to 45+39. continuewith 64+21 = e.g.+20 +1

Look at 15+9 = ask child to suggestquick method Then use this answer to complete 15+19, 15+29 etcchildren continue pattern in their note books. Discuss how patternallow us to find answers quickly.

 

Activities

On board write 17+11 , 17 +21, 17+31children continue until reach about 100

Continue 18+9 in same way

Continue 78-1 , 78-11, to78-71

Continue 89-9, 89-19 to 89-89

 

3bs and 3as

WALT- to recognise and extend patternsequences

 

As above extension asappropriate

29+39, 29+49 continue to about200

158-9 , 158-19

3cs

WALT- to recognise and extend patternsequences

As above but can children continuesubtraction pattern into negative numbers?

2as

WALT- to recognise and extend patternsequences

As activity above

2bs

WALT to give an addition fact and asubtraction fact that are opposites.

Ginn Level 3 (garden) p26 Record 2addition and 2 subtraction sums using 3 numbers given.

Extension

Q 13 15 follow steps to find endnumber.

 

 

Ask children to say the numberpattern as you write it on the board e.g. 17+11=28, 17+21 =38continue to 17+81

Ask more confident children to comeout and continue pattern as other say the facts out loud.

e.g 17+91 =, 17+101= Ask childrenwhat they notice about the pattern? Repeat for 18+9 ask more ableto continue pattern above 18+79=

 

Can you see a pattern in thesenumbers?

 

What do you notice about the tensnumber and the total?

 

Can you suggest the next number inthe sequence?

 

 

Self-assessment by trafficlights.

 

 

 

 

Children enjoyed this activity andsaw the pattern instantly, 2as and some 3cs made simple mistakeswhen crossing over the 100 barrier but once it was pointed out tothem they self corrected

 

 

extended activity by children makingup their own sequence on whiteboards for a friend tocomplete

Thursday

Solving wordproblems

3b+3a

3cand 2a

 

2bs adding 2 two digitnumbers

 

Convert into pence and viceversa.

Word problems involving money e.g.total cost, cost of several items, change from 1.00 or 5.00, howmany 25p stamps could be bought with 1.00? Adding 3 small amountsof money looking for number bonds or near doubles. Ask childrenexplain mental methods used and compare strategies.

Review

RUCSACreview stepsto follow

Teaching Focus

Look at examples of word problemstogether focus on two step problems and need for accuracy at firststage as this will affect final answer

 

Activities

3bs and 3as

WALT To know how to solve wordproblems with more than one step.

Collins Y3 book 1 p17 The problemclassroom Nb some 2 step word problems so children must checkanswers carefully to avoid mistakes.

Extension 3as Can children checktheir own work using inverse operation for each answer to identifyany errors?

 

3cs

WALT to know how to solve wordproblems

Collins Year 3 book 1 p16. Thinkingabout shopping. Remind children to use correct notation for poundsand pence. Nb some 2 step problems

Extension refresher sectionp17

 

2as

WALT to recognise words for + and in word problems

Collins Year 3 book 2 p 17 DeliciousProblems involving and P

Remind children of link to homework1.00 = 100p and to look carefully at key words to see if they needto add or subtract.

 

2bs

WALT- to subtract multiples often

(children may use a hundred sq ifrequired remind them to subtract in groups of ten by findingnumber directly above)

Find the Spider! Sheet

Extension On reverse canchildren write an addition sum to match each subtraction sum. Canthey think of sums that will spell out word Spider?

 

 

Pair up children MA with LA tosupport and explain steps to follow.

 

Look at examples of two step wordproblems from p17 ( see ETeach screen) with white boards workthrough answers together.

3c1 Can you explain the method youused to fing the answer?

Can you explain how you know youranswer is right?

 

3b1 Are children able to self checkusing estimates or inverse?

 

Can you find the key words in theproblem that show you which operation you need to do?

 

Can they make effective use of andpence notation?

Self-assessment by trafficlights.

 

Money problems showed a good basicunderstanding of money but converting p into and vice versa was astruggle for green and blue table.

 

Red table were able to check answerusing inverse operation Josh lagged behind the others inspeed.

Findingpairs of numbers that total 100

Friday

 

JM group inlesson

2bs odds and evens

 

Mental maths test 3 on CD

Complete then swap and markdiscussing strategies used to answer questions.

Review

Ask children to recall num bonds to10 then use these to record multiples of 10 with a total of 100.e.g. 10+90 = 100 and 90+10 = 100. Ask children what other numberpairs they know with a sum of 100 e.g. 0+100, 99+1 etc

 

Main teaching focus

Use 100 sq from Maths Pack (teacherstools)

 

Explain that children are going tofind pairs of numbers with a total of 100. high-light a number on100 sq and demonstrate how to count on in units to next 10 then intens to 100. Ask children to demonstrate answers to examples usehundred square.

 

Activities

3bs and 3as

WALT to find pairs of numbers witha total of 100. Children use 0-9 dice to generate a 2digit number then work out number needed to make 100.

Review after children have completedseveral sums ask them to look carefully at their answers. Can theyexplain what they notice about the sum of the tens numbers (total=90) and sum of units (total= 10)

Extension (3as) can they usethis and find pairs of numbers that total 1000. Can they link backto known facts to help them? (e.g.25+ 75 = 100 so 250+750 =1000)

3cc

WALT to find pairs of numberswith a total of 100.

Collins Y4 Book 2 P16 Find thepair

Extension Can children write asubtraction sum as inverse of each addition fact?

 

2as

WALT to find pairs of numbers witha total of 100.

Collins Y3 Book 2 p 14. Identifymultiples of 5 up to 100 and use these to find pairs of numbersthat total 100.

Extension use 0-6 dice togenerate 2 digit numbers and find other number needed to make atotal of 100.

 

2bs

WALT to recognise odd and evennumbers up to 100.

Number Lorries Sheet.

Extension Odd or Even? Gridsheet.

 

 

 

Show me using number cards askchildren to show odd and even numbers e.g. an odd number between 30and 40.

Extension

An odd number that is also a multipleof 5. An even number that is a multiple of 3 and 4?

Evaluate results from mental testidentify key questions that children have found tricky to includein future O and M sessions

 

Can children find pairs of numbersthat total 100?

 

Are they able to identify and explainpatterns or findings?

 

Can children use known facts to helpthem work with larger numbers?

 

Can children apply rules to identifyodd and even numbers?

 

Self-assessment by trafficlights.

 

 

 

 

Joys group worked with me using themaths pack and saw the connection easily when we highlighted thenumbers to count on Robert and Emily way ahead of others.

 

All others completed taskindependently and without help. Red and Yellow table moved ontofinding pairs for 1000 after they had finished much morechallenging and them stumped at times.