week 7: 8 june ridge class mathsweek 7: 8th june ridge class maths tessellations are created using...

Week 7: 8th June Ridge Class Maths

Day One: Times Tables

Year 5


Year 5

ANSWERS


Day One: Times Tables

Year 6


Year 6

ANSWERS


Day Two: 2D shapes and tessellations


Tessellations are created using 2D shapes. Some 2D shapes will tessellate well, whilst others will not.

First name the shapes and then sort them into the columns according to whether you think they will

tessellate:

Will Tessellate Will not tessellate

What do you notice?

Name: Name: Name: Name:

Name: Name:

Name: Name:


You can create your own tessellating shape using a piece of cardboard and some tape. You can make

your shape using one of three different mathematical movements:

• translation (moving up or down, left or right)

• rotation

• reflection (flipping)

First, identify whether these shapes have been translated, rotated or reflected:

Now have a go at creating your own tessellation pattern using the instruction sheet provided.

Colour your pattern in – you could choose a repeating pattern to make it even more

mathematical.


For all tessellations, you need to start with a square of paper or card to create your stencil. You then have three choices:

• translation

• rotation

• reflection

Translation

1. Draw a line from one corner, to the adjacent corner (the one next to it not opposite it)

2. Cut along that line

3. Move the cut piece without flipping it to the opposite side of your square.

4. You can stop there or repeat the process by drawing a line between two different corners.

5. Once you’re done, draw around the shape onto paper, leaving no gap between each one.


Rotation

1. Start exactly like translation

2. Instead of just moving your piece to the opposite side, you turn it and move it to the side that is next to where you

cut it from.

3. Do the same with another cut if you would like to

4. Draw around your shape. This time you will have to rotate your shape every time you draw it.

Reflection

1. Start exactly like translation.

2. This time you move the piece to the opposite side, then flip it over and stick it down.

3. Do the same with another cut if you would like to

4. Draw around your shape, flipping it each


Day Two: Tessellation

ANSWERS

Will Tessellate: rectangle, rhombus, trapezium, parallelogram, isosceles triangle, hexagon

Will not tessellate: Circle, pentagon,

This is tricky – all quadrilaterals with a pair of parallel lines will tessellate. Other shapes e.g. hexagon have to have interior angles that are a divisor of 360ᵒ

a) reflection

b) rotation

c) translation

d) translation

e) reflection

f) rotation


Day Three: Volume

The volume of an object is the amount of space that it takes up. We are going to revise how to

find the volume of a 3D cuboid/cube. The three important measurements that we will need to find

the volume are the height, length and depth:

Look at this cube. We could find the area of the red top section by doing its length x depth

or 3 x 3 = 9 cm² (It takes 9 cubes to make it).

You can then see that there are 3 layers of those 9 cubes.

So 3 x 3 x 3 = 9 x 3 = 27cm³ This time we write cubed after the measurement because it is how

many cubes it

would take to make it, not how many squares (like area)

So to find volume we do: length x height x depth and we write ³ after our measurement


Try It

Find the volume of these cuboids:

a) b)

Volume: Volume:


Use It

Prove It


Day Three: Volume

ANSWERS

Try It

a) 8 x 4 x 5 = 8 x 20 = 160cm³

b) 6 x 4 x 2 = 6 x 8 = 48cm³

c) 5 x 2 x 3 = 10 x 3 = 30cm³

Use It

9 x 2 x 5 = 90cm³

7 x 2 x 4 = 56cm³

90 + 56 = 146cm³


Box A = 40 x 4 x 4 = 160 x 4 = 400 + 240 = 640cm³

Box B = 25 x 5 x 6 = 125 x 6 = 600 + 120 + 30 = 750cm³

Box C = 30 x 6 x 4 = 180 x 4 = 400 + 320 = 720cm³

Box C would be most suitable as it will fit all of the cereal inside without leaving too much space.

Prove It

a) l x h x d = 72cm³

First find factors of 72. Then find factors of those numbers to help you find them all.

72 x 1 x 1

36 x 2 x 1

24 x 3 x 1

18 x 4 x 1

12 x 6 x 1

9 x 8 x 1

b) 96 x 1 x 1

48 x 2 x 1

32 x 3 x 1

24 x 4 x 1

16 x 6 x 1

12 x 8 x 1

24 x 2 x 2

16 x 3 x 2

12 x 4 x 2

8 x 6 x 2

8 x 4 x 3

6 x 4 x 4

9 x 4 x 2

12 x 3 x 2

6 x 6 x 2

18 x 2 x 2

6 x 4 x 3

8 x 3 x 3


Day Four: Time


Day Four: Time

ANSWERS


Day Five: Statistics

Reading tables and charts

Use this chart of Pokémon to answer the questions.

Pokédex number

Pokémon name Height (cm)

Weight (g)

Type Attack points

Defense points

1 Bulbasaur 70 69 Grass 49 49 2 Ivysaur 100 130 Grass 62 63 3 Venusaur 200 1000 Grass 82 83 4 Charmander 60 85 Fire 52 43 5 Charmeleon 110 190 Fire 64 58 6 Charizard 170 905 Fire 84 78 7 Squirtle 50 90 Water 48 65 8 Wartortle 100 225 Water 63 80 9 Blastoise 160 855 Water 83 100

10 Caterpie 30 29 Bug 30 35 11 Metapod 70 99 Bug 20 55 12 Butterfree 110 320 Bug 45 50 13 Weedle 30 32 Bug 35 30 14 Kakuna 60 100 Bug 25 50 15 Beedrill 100 295 Bug 90 40 16 Pidgey 30 18 Normal 45 40 17 Pidgeotto 110 300 Normal 60 55 18 Pidgeot 150 395 Normal 80 75 19 Rattata 30 35 Normal 56 35 20 Raticate 70 185 Normal 81 60 21 Spearow 30 20 Normal 60 30 22 Fearow 120 380 Normal 90 65 23 Ekans 200 69 Poison 60 44 24 Arbok 350 650 Poison 85 69 25 Pikachu 40 60 Electric 55 40 26 Raichu 80 300 Electric 90 55 27 Sandshrew 60 120 Ground 75 85 28 Sandslash 100 295 Ground 100 110 29 Nidoran

(Female) 40 70 Poison 47 52

30 Nidorina 80 200 Poison 62 67 31 Nidoqueen 130 600 Poison 92 87 32 Nidoran (Male) 50 90 Poison 57 40 33 Nidorino 90 195 Poison 72 57 34 Nidoking 140 620 Poison 102 77 35 Clefairy 60 75 Fairy 45 48 36 Clefable 130 400 Fairy 70 73 37 Vulpix 60 99 Fire 41 40 38 Ninetales 110 199 Fire 76 75 39 Jigglypuff 50 55 Normal 45 20 40 Wigglytuff 100 120 Normal 70 45 41 Zubat 80 75 Poison 45 35 42 Golbat 160 525 Poison 80 70


Section A Section B Section C

1. What type of Pokémon is Weedle? 2. How heavy is Nidoking? 3. Which Pokémon has the highest

number of attack points? 4. How many normal Pokémon are

there in the table? 5. There are two Pokémon that weigh

69 grammes. What are their Pokédex numbers?

6. What is the total weight of Bulbasaur, Squirtle and Charmander?

7. What is the difference in weight between Nidoking and Nidoqueen?

1. What is the difference in weight between Butterfree and Beedrill?

2. I have a team of six Arboks. How many attack points does my team have in total?

3. Bulbasaur evolves into Ivysaur, which evolves into Venusaur. How much has it grown in height by the time it evolves into Venusaur?

4. How many bug Pokémon are taller than 29cm?

5. Which Pokémon type appears the most times in the table?

6. I want to create a stack of Vulpix that is 1740cm tall. How many Vulpix will I need to stack up to reach this height?

1. Name a Pokémon whose attack and defense points have a difference of 0.

2. Zubat evolves into Golbat. How many times heavier is Zubat than Golbat?

3. To work out a Pokémon’s strength, multiply its level by its attack points. Which Pokémon would be the strongest in these battles? a. Level 3 Bulbasaur vs Level 2

Kakuna b. Level 9 Rattata vs Level 6 Vulpix c. Level 16 Clefable vs Level 12

Nidoking 4. I have a team of four different poison

Pokémon. Altogether, they have 224 attack points. Which four Pokémon could they be?

5. I am sailing a tiny boat across the ocean. The boat can only carry 2000g. I want to bring five Pokémon with very high attack points, but that are light enough to stop the boat sinking. Which five should I pick? Explain your decision using your reasoning skills.


Day Five: Statistics

ANSWERS

Section A Section B Section C

8. Bug 9. 620g 10. Nidooking 11. 9 12. 1 and 23 (Bulbasaur

and Ekans) 13. 244g 14. 20g

7. 25g 8. 510 9. 130cm 10. 6 11. Poison 12. 29

6. Bulbasaur 7. 7 8.

d. Bulbasaur e. Ratatta f. Nidoking

9. Ekans, Nidorino, Zubat, Nidoran (Female)

week 7: 8 june ridge class mathsweek 7: 8th june ridge class maths tessellations are created using...

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