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NameBlock A - Unit 2 - year 4 swp
OwnerJuliateacher
Level4
TopicNumeracy
UnitA2
Description
File 15_Block A - Unit 2 - year 4 swp.doc
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Block B: Securing number facts, Understanding Shape

BlockA:2

YEAR4

Term 1 Unit1

Term2 Unit 2

 

Term 3 Unit3

 

       Reportsolutions to puzzles and problems, giving explanations andreasoning orally and in writing, using diagrams andsymbols

       Partition,round and order four-digit whole numbers; use positive and negativenumbers in context and position them on a number line; stateinequalities using the symbols < and > (e.g. -3 > -5, -1< plus1)

       Useknowledge of addition and subtraction facts and place value toderive sums and differences of pairs of multiples of 10, 100 or1000

       Addor subtract mentally pairs of two-digit wholenumbers
(e.g.47+ 58, 91 minus35)

       Recogniseand continue number sequences formed by counting on or back insteps of constant size

       Deriveand recall multiplication facts up to 10 10, the correspondingdivision facts and multiples of numbers to 10 up to the tenthmultiple

       Multiplyand divide numbers to 1000 by 10 and then 100 (whole-numberanswers), understanding the effect; relate to scaling up ordown

       Identifythe doubles of two-digit numbers; use these to calculate doubles ofmultiples of 10 and 100 and derive the correspondinghalves

       Use acalculator to carry out one-step and two-step calculationsinvolving all four operations; recognise negative numbers in thedisplay, correct mistaken entries and interpret the displaycorrectly in the context of money

       Useknowledge of rounding, number operations and inverses to estimateand check calculations

       Useand reflect on some ground rules for dialogue (e.g. makingstructured, extended contributions, speaking audibly, makingmeaning explicit and listening actively)

       Report solutions to puzzles and problems, giving explanations andreasoning orally and in writing, using diagrams andsymbols

       Use decimal notation for tenths and hundredths and partitiondecimals; relate the notation to money and measurement; positionone-place and two-place decimals on a number line

       Add or subtract mentally pairs of two-digit wholenumbers
(e.g. 47+ 58, 91 minus35)

       Refine and use efficient written methods to add and subtracttwo-and three-digit whole numbers and .p

       Recognise and continue number sequences formed by counting on orback in steps of constant size

       Derive and recall multiplication facts up to 10 10, thecorresponding division facts and multiples of numbers to 10 up tothe tenth multiple

       Multiply and divide numbers to 1000 by 10 and then 100(whole-number answers), understanding the effect; relate to scalingup or down

       Use knowledge of rounding, number operations and inverses toestimate and check calculations

       Respond appropriately to others in the light of alternativeviewpoints


 

Key Aspects forLearning

Focus for theblock

 

 

 

 

 

Enquiry

Problemsolving

Reasoning

Creative thinking

Informationprocessing

Evaluation

Self-awareness

Managing feeling

Socialskills

Communication

Motivation

Empathy

PreviousLearning

Objectives/ICan Statements

Assessment forLearning

 

            identifythe calculation needed to solve a word problem

            explainand record their methods and solutions to problems andcalculations

            read,write, partition and order whole numbers to 1000

            use.p notation

            understandand use the < and > signs

            roundtwo- or three-digit numbers to the nearest 10 or 100

            recalladdition and subtraction facts for each number to 20

            addor subtract mentally combinations of one- and two-digitnumbers

            derivenumber pairs that total 100

            useinformal written methods to add and subtract two- and three-digitnumbers

            estimatesums and differences of two- or three-digit numbers

            recallmultiplication and division facts for the 2, 3, 4, 5, 6 and 10times-tables

            multiplyone- and two-digit numbers by 10 and 100

            useinformal written methods to multiply and divide two-digitnumbers

            roundremainders up or down, depending on the context

 

Reportsolutions to puzzles and problems, giving explanations andreasoning orally and in writing, using diagrams and symbols

I can explainhow I solve problems, using diagrams and symbols to helpme

Whatinformation did you use to solve this problem? Why?
Tell me why you chose this way to record your solution to theproblem. Could you have done it differently?
Make up a word problem that could be solved using each calculation:6 5, 30 3, 30 minus7, 26 plus19
Sort these problems into those you would do mentally and those youwould do with pencil and paper. Explain your decisions.

 

Usedecimal notation for tenths and hundredths and partition decimals;relate the notation to money and measurement; position one-placeand two-place decimals on a number line

I can usedecimals when I work with money andmeasurement

Canyou tell me what the digit 7 represents in each of these amounts:2.70, 7.35 m, 0.37, 7.07 m?
Which is larger: 239p or 2.93? Why?
Put these in order: 0.56, 125p, 3.60, 250p, 7p, 5, 205p. Whichis the smallest? How do you know? Which is the largest? How do youknow?
What amount of money comes next: 1.76, 1.86,1.96,...?

 

Addor subtract mentally pairs of two-digit whole numbers
(e.g. 47+ 58, 91 minus35)

I can add and subtract mentallypairs of two-digit numbers and find a difference by countingon

Whatstrategies would you use to work out the answers to thesecalculations: 47 plus58, 91 minus35? Could you use a different method? How could you checkthat your answer is correct?
The difference between a pair of two-digit numbers is 13. Whatcould the pair of numbers be?
How would you calculate the answer to 93 minus86? Why would you choose that strategy?

 

Refineand use efficient written methods to add and subtract two-andthree-digit whole numbers and .p

I can add andsubtract three-digit numbers using a writtenmethod

Whichof these are correct/incorrect? What has this person done wrong?How could you help them to correct it?
How does partitioning help to solve 436 plus247?
What tips would you give to someone to help them with columnaddition/subtraction?

 

Recogniseand continue number sequences formed by counting on or back insteps of constant size

I can count onand back in sevens

Counton in sevens from zero. Now count back to zero. This time, count oneight sevens from zero.
Show me seven hops of eight from zero on the number line. Now showme eight hops of seven. What do you notice?

 

Deriveand recall multiplication facts up to 10 10, the correspondingdivision facts and multiples of numbers to 10 up to the tenthmultiple

I know my tables to 10 10
I can use the multiplicationfacts I know to work out division facts

Theproduct is 40. What two numbers could have been multipliedtogether?
How many multiplication and division facts can you make, using whatyou know about 24 (or 20, 30)? How did you work out the divisionfacts?

 

Multiplyand divide numbers to 1000 by 10 and then 100 (whole-numberanswers), understanding the effect; relate to scaling up ordown

I can multiplyand divide numbers by 10 or 100 and describe what happens to thedigits

Whatnumber is ten times bigger than 500?
Explain the calculation you would use to change 25 to 2500.
How many tens are there in 200? How many hundreds in 2000?
If 4 6 = 24, what is 40 6 and 400 6? How could you quicklywork out the answers to these calculations: 3 80, 120 4?
The product of two numbers is 2000. What could the two numbersbe?

 

Developand use written methods to record, support and explainmultiplication and division of two-digit numbers by a one-digitnumber, including division with remainders (e.g. 15 9, 98 6)

I can multiply and divide a two-digit number by a one-digitnumber

Howwould partitioning help you to calculate 27 6?
How does knowing that 10 6 = 60 help you to calculate the answerto 72 6?
Do all divisions have remainders?
Make up some division questions that have no remainder. How did youdo this? Why don't they have a remainder?
Make up some division questions that have a remainder of 1. How didyou do it?

 

Useknowledge of rounding, number operations and inverses to estimateand check calculations

I can estimateand check the result of a calculation

I can estimate andcheck the result of a calculation

Roughly,what answer do you expect to get? How did you arrive at thatestimate?
Do you expect your answer to be greater or less than your estimate?Why?

 

Respondappropriately to others in the light of alternative viewpoints

I can explainhow I solved a problem and can decide whether someone else solvedit in a better way

Explainwhat information you used to solve the problem. What stages did yougo through to complete it?
What calculations did you do? Did you draw any diagrams? Why? Didanyone solve the problem in a different way?
Which do you think was the best way to solve the problem?Why?

 

Mathematical challengesfor able pupils Key Stages 1 and 2

Activities

download icon - PDFPDF 923KB

Activity49 - Footsteps in the snow

Interventionprogrammes

Objectives for Springboardintervention unit

Springboard unit

Knowby heart all addition and subtraction facts for each number to20
Derive quickly all pairs of multiples of 5 with a total of100

Springboard 4 Unit2 (PDF 185KB)

Understanddivision as grouping or sharing.  Read and begin to write therelated vocabulary
Recognise that division is the inverse of multiplication and thathalving is the inverse of doubling
Know by heart the facts of the 2-, 5- and 10- timestables

Springboard 4 Unit5 (PDF 201KB)

Addand subtract a near multiple of 10 to or from a two-digit numberby adding or subtracting 10, 20, 30 and adjusting

Springboard 4 Unit9 (PDF 165KB)

Supporting childrenwith gaps in their mathematical understanding (Wave 3)

Diagnostic focus

Resource

Isnot confident when recalling multiplication facts

1 Y4 /
DfES 1150-2005 (PDF104KB)

Doesnot apply partitioning and recombining when multiplying andconfuses the value of 2 digit numbers

4 Y4 /
DfES 1153-2005 (PDF104KB)

Interpretsdivision as sharing but not grouping

3 Y6 /
DfES 1161-2005 (PDF94KB)

Describesthe operation of multiplying by ten as 'adding a nought'

3 Y4 /
DfES 1152-2005 (PDF68KB)

Ismuddled about the correspondence between multiplication anddivision facts

2 Y4 /
DfES 1151-2005 (PDF93KB)

Doesnot make sensible decisions about when to use calculations laid outin columns

3 Y4 plus/-
DfES 1130-2005 (PDF101KB)

Click here forinformation on different file formats and theirusage.

Wave 3addition and subtraction tracking childrens learningcharts

download icon - PDFPDF 161KBdownload icon - RTF RTF 930KBdownload icon - Word Word 315KB

Wave 3multiplication and division tracking children's learningcharts

download icon - PDFPDF 195KBdownload icon - RTF RTF 1.3MBdownload icon - Word Word 430KB