Area & Perimeter AREA OF A LEAF - researchideas.ca · Area & Perimeter–v4 researchideas.ca George Gadanidis 2017 2 B. FABULOUS FENCE I have a new puppy. Yay! And, I have 20 metres

Area & Perimeter–v4 researchideas.ca George Gadanidis 2017 1

AREA OF A LEAF

A. TERRIFIC TRICK

My teacher asked: “How can we measure the area of this leaf?”

I discovered this cool math trick! Would you like me to tell you about it?

Input YourAnswer

If YourAnswer = “Yes” then I say “Great!”

Else

I say “I know you’re kidding!”

End If

I say “Keep reading …”

Your friends are going to be amazed!

Here’s how I did it:

1. I used string to trace the perimeter of the leaf – it was 16 cm 2. I tied the ends of the string to make a closed loop

3. I stretched the 16 cm string to form a rectangle

4. I fit the rectangle on cm grid paper

5. Ta-da! The area is 15 cm2!

What do you think? I’m amazing, right?


B. FABULOUS FENCE

I have a new puppy. Yay! And, I have 20 metres of fencing

material, to make a rectangular pen. I need your help!

I want my puppy to have as much room as possible.

What should be the dimensions of my pen?

9 m

1 m Area = 9 m2 1 m

9 m


C. USE A TABLE

Record your data in the table below.

Length (m) Width (m) Perimeter (m) Area (m2)

D. USE A BAR GRAPH

Record your data as a

bar graph using the grid at right.

E. INVENT A PROCEDURE

Invent a procedure for finding the width of a rectangle, if you

know its perimeter and length.

AREA

(m2)

LENGTH (m)


F. MODEL IT WITH SCRATCH

Try the code at scratch.mit.edu/projects/158479066/#editor

Write to describe what this code does, and how it relates to your

work on pages 2-3.

Edit the code to model a fence of 24 metres.

Edit the code to model a fence of 12 metres.


PIZZA PARTY

G. PIZZA PARTY PUZZLE

I need your help!

I have 16 small tables. They are square.

I’ll join them to make one large

rectangular table, and put chairs all

around, for my 15 pizza party guests.

I sketched this rectangular arrangement

of the 16 tables. The dots are the chairs.

1. Are there other rectangular arrangements? Can you help?

2. Does it matter which arrangement I use for my pizza party?


H. MORE TABLES

Wait! I found 4 more square tables. Now I have 20!

Help me sketch all the rectangular arrangements.

How many chairs will fit all around?

Which arrangement is best for my party?


I. USE A TABLE

Record your data in the table below.

Length (m) Width (m) Perimeter (m) Area (m2)

J. USE A BAR GRAPH

Record your data as a

bar graph using the grid

at right.

K. INVENT A PROCEDURE

Invent a procedure for finding the width of a rectangle, if you

know its area and length.

PERIMETER

(m)

LENGTH (m)


L. MODEL IT WITH SCRATCH

Try the code at scratch.mit.edu/projects/158479066/#editor

Write to describe how you would edit this code so that it plots a

graph of the changing perimeter (rather than area).

Edit and run the code to test your idea.


M. QUICK QUIZ

Try the Area / Perimeter Quiz at

https://scratch.mit.edu/projects/96881204/#editor

Edit the code:

Add comments at the start, to

explain the quiz. For example:

Change the range of for length

and width. For example:

https://scratch.mit.edu/projects/96881204/#editor


Change the scoring rules:

Start with a score of 10.

Get 3 points for correct answer. Lose 1 point for incorrect answer.

Edit the feedback to give tips for incorrect answers. For example:


N. REFLECT

Use numbers/words/diagrams to share one

important idea.


SHARE AT HOME

Dear Parent,

Please ask your child to share with you what

they learned about area & perimeter. Please

complete and return to their teacher. Thank you!

What did your child share with you?

What did you learn?

Documents

Area & Perimeter AREA OF A LEAF - researchideas.ca · Area & Perimeter–v4 researchideas.ca George Gadanidis 2017 2 B. FABULOUS FENCE I have a new puppy. Yay! And, I have 20 metres