An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This...

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An Array a Day Mrs. Amatangelo

Transcript of An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This...

Page 1: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

An Array a Day

Mrs. Amatangelo

Page 2: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

A ray is what you learn about in geometry. This is a ray.

A B

This is NOT an ARRAY.

Next

Page 3: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

A ray gun.

A stingray.

A ray of sunshine.

These are rays:

They are NOT ARRAYS.

Ray from Ghostbusters

An X-ray Next

Page 4: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

An

is when you make rows and columns.

ARRAY

Next

Page 5: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Arrays are all around you.

Next

Page 6: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Next

Page 7: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Next

Page 8: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Draw the array and label its dimensions.An array with the dimensions of 6 by 2 would look like this:

To label the dimensions, write a 2 to show 2 columns, and a 6 to show 6 rows.

2

6

or for a 2 by 6, like this:

Next

Page 9: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

An

is when you make rows and columns.

ARRAY

Back

Page 10: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Dimensions means how many rows and how many columns

Back

Page 11: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Label means to write the number that shows how many are in each row and column.

Back

Page 12: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Write a multiplication sentence:

There are 6 rows of 2 so the

multiplication sentence is:

6 * 2 = 12

2

6

Next

Page 13: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

What does it mean?

The multiplication sentence

6 * 2 = 12

means

there are

6 rows

with

2 in each row.

2

6

Next

Page 14: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Write a division sentence.

12 / 6 = 22

6

Next

Page 15: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

What does it mean?

Take 12 squares and put them into

6 groups with

2 in each group.

2

6

Next

Page 16: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

What is the area?

The area is:

how many squares

are inside the shape.

2

6How much carpet would I need if I covered the floor with carpet instead?

How many tiles do I need to cover a floor?

Next

Page 17: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

What is the area?

There are 12 squares inside the shape,

so the area is 12 squares.

2

6

Next

Page 18: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

What is the area?

To find the area,

multiply the number of rows

by the number of columns.

6 * 2 = 12

2

6

Next

Page 19: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

What is the perimeter?

The perimeter is how many units surround

the shape.

2

6 6

2

Next

Page 20: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

What is the perimeter?

It’s like the fence that goes around the outside of the

shape.

2

6 6

2

Next

Page 21: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

What is the perimeter?

The question, “What is the

perimeter?” is asking,

How long is the fence that goes

around the outside of the

shape?

2

6 6

2

Next

Page 22: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

What is the perimeter?

2

6 6

2

This ‘fence’ is

6 squares long

and

2 squares wide,

with

6 more squares long,

and

2 more feet wide. Next

Page 23: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

What is the perimeter?

To find the perimeter, add

all the lengths

and

all the widths of the sides.

6+2+6+2=16

The perimeter is

16

2

6 6

2

Next

Page 24: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

List all the factors of the area.

1, 2, 3, 4, 6, 12

are the factors of the area 12,

because:

1 * 12 =12

2 * 6 = 12

3* 4 = 12 Next

Page 25: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

List means to write as many as you can think of.

Back

Page 26: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Factors = the numbers you multiply to get a product

Back

Page 27: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Product = the answer you get when you multiply

Back

Page 28: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

List all the factors of the area.

1 and 12

are factors of the area 12,

because:

1 * 12 = 12

12

1

Next

Page 29: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

List all the factors of the area.

3 and 4

are the factors of the area 12,

because:

3 * 4 = 12

4

3

Next

Page 30: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

List all the factors of the area.

2 and 6

are factors of the area 12,

because:

2 * 6

Next

Page 31: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

List all the factors of the area.

The factors are the same numbers you used to find the area.

(length * width = area)

Next

Page 32: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Is the area prime or composite?

Prime = the area has only two factors: 1 and itself

Composite = the area has more than 2 factors

Next

Page 33: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Prime1

11

11

1

A shape with an area of 11 is prime. The only numbers you can multiply to get 11 are 1 and 11.

1x11=11

Next

Page 34: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Some other prime arrays are:1

7

3

2

1

1

1

135

1

Back

Page 35: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Composite

A shape with the area of 12 is composite because 12 has more than 2 factors.

Next

Page 36: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

12

12

6

4

3

3

4

6

2

1

12

Back

Page 37: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Repeated Addition

2+2+2+2+2+2=12

+ + + + +

Next

Page 38: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Draw additional arrays with the same area and label their

dimensions.

Next

Page 39: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

12

12

6

4

3

3

4

6

2

1

12

Next

Page 40: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

Additional: more of the same thing

Label: write the numbers to show what it means

Dimensions: the size

how big it is

the length and the width

Next

Page 41: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

So what?• How large of an area do we need for every student to sit at a

desk? • How many 25 student classes will fit in an area the size of

the floor in the multi-purpose room?• How much newspaper do I need to cover an area the size of

the ceramics table?• How much paint do I need to cover an area the size of the

walls in my room?• If one student needs a 9 foot square area to jump rope, how

large of an area would 25 students need?• The swings need a mat under them. How large should the

mat be to cover the area under the swings?• 5 friends brought their sleeping bags to a sleepover. If every

sleeping bag covers a 12 foot area, what size tent should we use?

• Each family member rakes the leaves from a 100 square foot area. How many family members are needed to rake a yard with a 1000 square foot area?

Next

Page 42: An Array a Day Mrs. Amatangelo. A ray is what you learn about in geometry. This is a ray. A B This is NOT an ARRAY. Next.

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