maths- challenges set 1 term 6 week 6 - sea mills primary

9
Maths- Challenges Set 1 Term 6 Week 6 Hello Year 6 families Here are the Maths activities for this week. Enjoy! They are numbered 1-5. Please complete them in that order. These are Maths- Challenges Set 1. These activities are revision of previously learnt skills. Set 2 is trickier than Set 1. Please decide which series of challenges you wish to complete. Please challenge yourself! Follow the links and watch the videos, which will show you what to do. Look at Year 5 Summer Term- Week 11 (W/C 06.07.20) Then complete the worksheets shown below in this document. https://whiterosemaths.com/homelearning/year-5/ Lesson 1- Regular and Irregular Polygons Lesson 2- Reasoning about 3d shapes Lesson 3- Reflection Lesson 4- Translation Lesson 5- Friday Challenge- follow link https://whiterosemaths.com/homelearning/year-5/ You don’t need to print anything. Answers can be recorded on paper or in a note book. The answers can be found on the year 6 webpage. If you have any questions please feel free to contact me using the Padlet. https://padlet.com/emmastafford321/umrium854zd0 You are not required to print these sheets. Just record your answers on paper or in a notebook. Mrs Kirley

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Page 1: Maths- Challenges Set 1 Term 6 Week 6 - Sea Mills Primary

Maths- Challenges Set 1 Term 6 Week 6 Hello Year 6 families

Here are the Maths activities for this week. Enjoy! They are numbered 1-5. Please complete them in that order. These are Maths- Challenges Set 1. These

activities are revision of previously learnt skills. Set 2 is trickier than Set 1. Please decide which series of challenges you wish to complete. Please challenge

yourself!

Follow the links and watch the videos, which will show you what to do. Look at Year 5 Summer Term- Week 11 (W/C 06.07.20) Then complete the worksheets

shown below in this document. https://whiterosemaths.com/homelearning/year-5/

Lesson 1- Regular and Irregular Polygons

Lesson 2- Reasoning about 3d shapes

Lesson 3- Reflection

Lesson 4- Translation

Lesson 5- Friday Challenge- follow link https://whiterosemaths.com/homelearning/year-5/

You don’t need to print anything. Answers can be recorded on paper or in a note book.

The answers can be found on the year 6 webpage. If you have any questions please feel free to contact me using the Padlet.

https://padlet.com/emmastafford321/umrium854zd0 You are not required to print these sheets. Just record your answers on paper or in a notebook.

Mrs Kirley

Page 2: Maths- Challenges Set 1 Term 6 Week 6 - Sea Mills Primary

Regular and irregular polygons

1 Measureandlabelthesidesandanglesofeachshape.

a)

b)

c)

Whatdoyounoticeaboutyouranswers?

Theseareallexamplesofregularpolygons.

Explaininyourownwordswhataregularpolygonis.

2 Measureandlabelthesidesandanglesofeachshape.

a)

b)

c)

Whatdoyounoticeaboutyouranswers?

Theseareallexamplesofirregularpolygons.

Explaininyourownwordswhatanirregularpolygonis.

©WhiteRoseMaths2020

Page 3: Maths- Challenges Set 1 Term 6 Week 6 - Sea Mills Primary

©WhiteRoseMaths2020

3 Onepolygonineachsetisregular.Ticktheregularpolygon.

a)

b)

c)

d)

Howdidyouknowwhichonewasregularwithoutmeasuring?

4 Drawtworegularandtwoirregularpolygonsonthegrid.

Compareyourpolygonswithapartner.

Whatisthesameandwhatisdifferent?

5 Hereisarhombus.

DoyouagreewithRon?____________________

Explainyouranswer.

6 Evahasdrawnasquareandaregularpentagon.

DoyouagreewithEva?____________________

Explainyouranswer.

This is a regular polygon because all the sides are

the same length.

The compound shape isregular because both of the shapes I drew were regular.

Page 4: Maths- Challenges Set 1 Term 6 Week 6 - Sea Mills Primary

Reasoning about 3D shapes

1 Matchthenettothecorrectlabel.

cube

cylinder

square-based

pyramid

cuboid

2 Completethesentences.

a) Thefacesofa_______________areallsquare.

b) Asquare-basedpyramidhas triangularfacesand

squareface.

c) Thenetofa_______________ismadeupof2circlesand

arectangle.

3

Whodoyouagreewith?Circleyouranswer.

Whitney Rosie both of them

Explainyourreasons.

©WhiteRoseMaths2020

The net of a cuboid ismade up of 4 rectangles

and 2 squares.

The net of a cuboid ismade up of 6 rectangles.

Whitney

Rosie

Page 5: Maths- Challenges Set 1 Term 6 Week 6 - Sea Mills Primary

©WhiteRoseMaths2020

4 Tickthediagramthatisthenetofacone.

Compareanswerswithapartner.

5 Drawthenetforatriangularprismonthesquaredgrid.

6 Drawanaccuratenetforthiscuboidonthesquaredgrid.

7 Drawtwodifferentcuboidsontheisometricpaper.

2cm

5cm3cm

1cm

1cm

Page 6: Maths- Challenges Set 1 Term 6 Week 6 - Sea Mills Primary

Reflection

1 Reflecteachshapeinthemirrorline.

a) d)

b) e)

c) f)

2 Reflecteachshapeinthemirrorline.

a)

b)

c)

©WhiteRoseMaths2020

d)

e)

f)

3 Whichdiagramsshowacorrectreflectioninthegivenmirrorline?

Tickyouranswers.

x

y

x

y

x

y

x

y

x

y

x

y

x

y

x

y

x

y

x

y

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x

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Page 7: Maths- Challenges Set 1 Term 6 Week 6 - Sea Mills Primary

©WhiteRoseMaths2020

x

y

x

y

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y

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x

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x

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x

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x

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x

y

Talktoapartneraboutthemistakesthathavebeenmade.

4 Reflecttheobjectsinthegivenmirrorlines.

a)

x

y

0 1

1

2

3

4

5

6

7

2 3 4 5 6 7x

y

0 1

1

2

3

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2 3 4 5 6 7

x

y

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2 3 4 5 6 7x

y

0 1

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4

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6

7

2 3 4 5 6 7

c)

x

y

0 1

1

2

3

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2 3 4 5 6 7x

y

0 1

1

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2 3 4 5 6 7

x

y

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2 3 4 5 6 7x

y

0 1

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7

2 3 4 5 6 7

b)

x

y

0 1

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2 3 4 5 6 7x

y

0 1

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2 3 4 5 6 7

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y

0 1

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2 3 4 5 6 7x

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2 3 4 5 6 7

d)

x

y

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2 3 4 5 6 7x

y

0 1

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2 3 4 5 6 7

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y

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2 3 4 5 6 7x

y

0 1

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2 3 4 5 6 7

5 Fivepointsareplottedonacoordinategrid.

a) Jointhepointstoformapolygon.Thisistheobject.

Whattypeofpolygonistheobject?

b) Reflecttheobjectinthegivenmirrorline.

Whattypeofpolygonistheimage?

c) LabelthereflectedverticesP,Q,R,SandT.

Writethenewcoordinates.

P ( , ) Q( , ) R ( , )

S ( , ) T ( , )

d) The image and the object are identical polygons.

Isthisstatementtrueorfalse?

Talkaboutitwithapartner.

0 21 3 4 5 6 7 8 9 10 11 12

1

2

3

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6

5

7

8

9

10

x

y

A

B

E

C

D

Page 8: Maths- Challenges Set 1 Term 6 Week 6 - Sea Mills Primary

Translation

1 Completethetranslations.

a) Translatetheshape

4squarestotheright.

b) Translatetheshape

2squaresup.

2 Fourshapeshavebeendrawnonagrid.

a) TranslateshapeA5squarestotherightand3squaresdown.

b) TranslateshapeB4squarestotheleftand7squaresdown.

c) TranslateshapeC6squarestotheleft.

d) TranslateshapeD4squarestotherightand8squaresup.

3 DorahastranslatedtriangleA2squarestotherightand

7squaresup.

IsDora’sdrawingcorrect?

Explainwhy.©WhiteRoseMaths2020

c) Translatetheshape

4squaresright,2squaresup.

d) Translatetheshape3

squaresleft,5squaresdown.

A

B

C

D

0 21 3 4 5 6 7 8 9 10

1234

65

789

10

x

y

A

Page 9: Maths- Challenges Set 1 Term 6 Week 6 - Sea Mills Primary

©WhiteRoseMaths2020

4 Completethesentencestodescribethetranslations.

a) ShapeAhasbeentranslated squarestotherightand

squaresdown.

b) ShapeBhasbeentranslated squarestothe

and squares

c) ShapeChasbeentranslated squarestothe

and squares

5 Ashapehasbeendrawnonacoordinategrid.

a) TranslateshapeD4squares

totheleftand6squaresup.

LabelthenewshapeE.

b) Describethetranslation

fromshapeEtoshapeD.

Whatdoyounotice?Doesthisalwayshappen?

6 Eightpolygonsaredrawnonthegrid.

a) TranslateshapeA10squaresup.

b) TranslateshapeB6squaresdown.

c) TranslateshapeC6squaresleft.

d) TranslateshapeD9squarestotherightand4squaresdown.

e) TranslateshapeE10squarestotherightand3squaresdown.

f) TranslateshapeF7squarestotherightand3squaresup.

g) TranslateshapeG9squarestotheleftand1squareup.

Createyourownproblemlikethisforapartner.0 21 3 4 5 6 7 8 9 10

1234

65

789

10

x

y

D

A

D

E

B

C

G

F

A

C

B