cartoon similarity using cartoons to draw similar figures

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Cartoon Similarity Using cartoons to draw similar figures

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Page 1: Cartoon Similarity Using cartoons to draw similar figures

Cartoon Similarity

Using cartoons to draw similar figures

Page 2: Cartoon Similarity Using cartoons to draw similar figures

The CartoonWhat to do with your

cartoon:

cut around the edges of your cartoon so that they are straight

(use a ruler to create a border if it doesn’t have one)

Page 3: Cartoon Similarity Using cartoons to draw similar figures

The CartoonAfter you cut out the cartoon:

Glue your cartoon to a white sheet of paper – in one of the corners, but not right against edge

like this…

Page 4: Cartoon Similarity Using cartoons to draw similar figures

The GridUse a ruler to measure the length and width of

your cartoon in centimeters and write it on your paper – near your cartoon

5cm

5cm

Yours may not be 5cm – this is just an example

Page 5: Cartoon Similarity Using cartoons to draw similar figures

The GridNow…Time to draw the grid!

On the paper (not on the cartoon), Make one centimeter marks on opposite sides

1cm 1cm 1cm 1cm 1cm

1cm

1cm

1cm

1cm

1cm

Start on the left and go towards the right across the top and bottomBe careful measuring – your grid will turn out better the last block may be smaller than one centimeter

Page 6: Cartoon Similarity Using cartoons to draw similar figures

The GridNow…Time to draw the grid!

Connect the marks…BE careful you have one shot at this!

1cm 1cm 1cm 1cm 1cm

1cm

1cm

1cm

1cm

1cm

It is okay if all your squares aren’t exactly the same size – but try to get them as close as possible

Page 7: Cartoon Similarity Using cartoons to draw similar figures

The Scale DrawingTime to blow up your cartoon. The scale factor is 4. You are making your cartoon 4 times as large. What do you do?

1cm 1cm 1cm 1cm 1cm

1cm

1cm

1cm

1cm

1cm

multiply everything by four!

Page 8: Cartoon Similarity Using cartoons to draw similar figures

The Scale DrawingYou need to create a grid that is four times as large as your original. My original is 5cm by 5cm. You have a choice here: You can choose a scale of 1cm to 4cm, or you can make it huge and go from 1cm to 4in

Page 9: Cartoon Similarity Using cartoons to draw similar figures

The Cartoon

Depending on how big your cartoon is, you may need to add paper to your original sheet

Page 10: Cartoon Similarity Using cartoons to draw similar figures

The DrawingTo draw the large grid you need to multiply the length and width of the small cartoon by four and then draw a new large square or rectangle

Page 11: Cartoon Similarity Using cartoons to draw similar figures

The Scale DrawingYou need to create a grid that is four times as large as your original. My original is 5cm by 5cm. I’m choosing 1cm to 4cm, so my new grid is 20cm to 20cm

Now mark off 4cm marks! – Left to right and top to bottom

Page 12: Cartoon Similarity Using cartoons to draw similar figures

The DrawingNow you can draw! You do not have to know how to draw to do this. The grid helps you with spatial relationships…

Page 13: Cartoon Similarity Using cartoons to draw similar figures

The DrawingNow you can draw! You do not have to know how to draw to do this. The grid helps you with spatial relationships…

Draw the new picture one square at a time

Notice spatial relationships here and it will look Exactly like original

Page 14: Cartoon Similarity Using cartoons to draw similar figures

Cartoon Similarity

Finished Product

Page 15: Cartoon Similarity Using cartoons to draw similar figures

QuestionsWrite the questions and then answer

them on your scale drawings – use your text to help.

1. How does the scale factor affect the size of a shape or figure?

2. What is a dilation? How does it relate to scale drawings?

3. Is a dilation an Isometry? Why or Why Not?