Rising Stars Catalogue 2018

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MORE ABLE
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KEY STAGES
ISBN Title Price
9781783390762 Maths for the More Able Complete Pack £340
9781783390717 Maths for the More Able Year 2 £80
9781783390724 Maths for the More Able Year 3 £80
9781783390731 Maths for the More Able Year 4 £80
9781783390748 Maths for the More Able Year 5 £80
9781783390755 Maths for the More Able Year 6 £80
Rich and engaging problem-solving
activities for the more able
Maths for the More Able provides a rich bank of maths activities
that enable children to explore new curriculum content in
greater depth and develop their mathematical reasoning skills.
• • Engage and excite pupils using challenging space-themed
problem-solving activities.
• • Deepen understanding of new curriculum maths concepts.
• • Gain the confidence to stretch your more able pupils
in mathematics.
• • Demonstrate support for more able
children, as required by Ofsted.
Developed in association with:
Maths for the More AbleYear 6
34
TEACHER’S NOTES
Curriculum Focus
1. Recognisewhen it ispossible touse formulae for
volumeof shapes.
2. Calculate, estimate and comparevolumeof cubes
and cuboidsusing standardunits, including
centimetre cubed (cm3) and cubicmetres (m3),
and extending tootherunits such asmm3 andkm3 .
3. Solveproblems involvingaddition, subtraction,
multiplicationanddivision (in thecontextofmoney).
Running the Activity
Background
Do the children recognise thatvolume is expressed in
cubeunitswhereas capacity is expressed inunits such as
litres?
What experiencedo the childrenhaveof calculating
volumeusingdi erentunitsofmeasurement?
Howwelldo they link the formula for finding the
volumeof a cuboidwith thatof the areaof a rectangle?
Do they recognise the importanceofplacevaluewhen
calculatingwithdifferentunitsofmeasurement?
Are they con dent to explainwhichoperations they
willneed tousewhen solvingnumberproblems and the
order inwhich touse them?
ese tasks also require the children to calculatevalues
basedonvolume expressed in cm³.
Starting Off
WithinStartingO , children identifypossible
dimensions forgivenvolumes. ey should also identify
cubenumbers.
Keyknowledge: Volume can be defined as ameasure
of the amount of 3D spacewhich is occupied by an object.
Away We Go
WithinAwayWeGo, childrenmoveon to calculating
thevalueofgoldusing the equivalentsgiven. eymust
select the appropriateoperations touse and recognise
when the inverse is required.
eproblem extends to convertingmm³ to cm³.
Keyknowledge: To convertmeasurements inmm³ to cm³,
wemust divide the volume by 1000, and vice versa.
Free Running
Within FreeRunning, children calculatevolumes inm³.
eymust alsouse agiven ratio to nd the likelyvolume
(and thenvalue)ofgold in twodi erentmines.
InS.I.D.’sChallenge, theymust apply the inverse to
ndoutwhatvolumeofgold is required for avalueof
£1million andwhatvolumeof soil and rocksmust,
therefore,bemined.
Sharing Results and Evaluating
Look for childrenwho con dently apply the formula for
nding thevolumeof a cuboid and canuse this to ‘undo’
any calculations.
Look for those that can con dently explainhow they
must convertbetweenunitswhendealingwithvolume
andhow thisdi ers from area ² to cm²need to
divide areaby100).
Share solutions forS.I.D.’sChallenge and considerother
largevaluesof ‘Gagarin-gold’ in the sameway.
Answers
Starting Off
1. Jade (9×5×4mmor18×5×2mmor4.5×10×4mmetc.)
Zack (6³or3×12×6mmor2×18×6mmetc.)
Ceri (3×7×6mmor6 ×3.5×16mmor1.5×14×6mmetc.)
Dara (4.5³or9×2.25 ×4.5mmetc.)
2. ZackandDara–cubenumbers
3. Seequestion1
Away We Go
1. £664 (8g)
2. £1701.50 (20.5g)
3. £16,600 (200g)
4. 2.6cm³
5.
Possible
dimensionsof
nugget (mm)
Possible
dimensionsof
nugget (cm)
Volume
incm3
Weight in
grams (g)
Value in£
Jade 4.5×10×4 0.45×1×0.4 0.18 3.462 £287.35
Zack 6×6×6 0.6×0.6×0.6 0.216 4.154 £344.78
Ceri 6×3.5×6 0.6×0.35×0.6 0.126 2.423 £201.11
Dara 4.5×4.5×4.5 0.45×0.45×0.45 0.091125 1.752 £145.42
6. The ‘numbers’are1000timessmaller incm³.
Thishappensbecause thenumberofeachdimension incm is10 timessmaller
than inmmso the totalvolume is10×10×10 timessmaller i.e.1000.
Free Running
1. a)2998.125m³ b)23,985m³ (19.5x20.5x60m)
2. Minea)14.734cm³ b)117.869cm³
3. £188,137.06
S.I.D.’s Challenge
1. £1million is thevalueof12,048.19277gofgold.This is626.5060241cm³ofgold.
2. This is72.84953769 lotsof8.6cm³so thevolumeofsoiland rocks tobemined is
127486.691m³ (72.849etc.×1750).
a hard bargain
Year 6
Y6_MoreAbleMaths_pages.indd 34 05/09/2013 12:16
NationalAssociation forAbleChildren inEducation
Mathsfor theMore
Able