8 th grade math
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8 th Grade Math. 1 st Period Nov . 1, 2012. No HW Review; Start Warm-Up. Find the areas of the following: 1.2.3. 4.5.. Warm-Up: Answers. Find the areas of the following: 1.2.3. 4.5.What operation could be applied to the area in #5 to get the side length of the square?.

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8 th Grade Math

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8 th grade math

8th Grade Math

1st Period

Nov. 1, 2012


No hw review start warm up

No HW Review; Start Warm-Up

Find the areas of the following:

1.2.3.

4.5.


Warm up answers

Warm-Up: Answers

Find the areas of the following:

1.2.3.

4.5.What operation could be applied to the area in #5 to get the side length of the square?

A = 2 square units

A = 1 square unit

A = 4 square units

A = 5 square units

A = 1 square unit


So to find the diagonal d istance between t wo points y ou can

So, to find the diagonal distance between two points, you can …

  • Draw a line segment between the points.

  • Make a square with the segment as a side.

  • Find the area of the square.

  • Take the square root of the area.


Do we have to make the square each time

But …

Do We Have to Make the Square Each Time?


No notice that

No! Notice that …

=

making

+

=


If we remember our original line segment

If we remember our original line segment …

is the hypotenuse of

and we call the side lengths a, b, and c …

a2

c

b

a

+

=

b2

c2


That is we can find

That is, we can find …

the square of the hypotenuse

by adding

the squares of the legs

c2

b2

a2

This fact is known as the Pythagorean Theorem!


Using the pythagorean theorem

Looking for length of

the hypotenuse

a2 + b2 = c2

152 + 202 = x2

225 + 400 = x2

625 = x2

25 = x

Using the Pythagorean Theorem

x

15

20


Using the pythagorean theorem1

Looking for length of

a leg

a2 + b2 = c2

62 + x2 = 102

36 + x2 = 100

-36-36

x2 = 64

x = 8

Using the Pythagorean Theorem

10

6

x


Using the pythagorean theorem2

Looking for the diagonal distance

a2 + b2 = c2

32 + 42 = x2

9 + 16 = x2

25 = x2

5 = x

Using the Pythagorean Theorem

x

3

4


Hw front back of the same ws

HW (Front & Back of the Same WS)

  • Applications #1-2, 5-6 (circled)

  • Using the Pythagorean Theorem in Word Problems #1 (circled)


8 th grade math1

8th Grade Math

2nd Period

Nov. 1, 2012


No hw review start warm up1

No HW Review; Start Warm-Up

Find the areas of the following:

1.2.3.

4.5.


Warm up answers1

Warm-Up: Answers

Find the areas of the following:

1.2.3.

4.5.What operation could be applied to the area in #5 to get the side length of the square?

A = 2 square units

A = 1 square unit

A = 4 square units

A = 5 square units

A = 1 square unit


So to find the diagonal d istance between t wo points y ou can1

So, to find the diagonal distance between two points, you can …

  • Draw a line segment between the points.

  • Make a square with the segment as a side.

  • Find the area of the square.

  • Take the square root of the area.


Do we have to make the square each time1

But …

Do We Have to Make the Square Each Time?


No notice that1

No! Notice that …

=

making

+

=


If we remember our original line segment1

If we remember our original line segment …

is the hypotenuse of

and we call the side lengths a, b, and c …

a2

c

b

a

+

=

b2

c2


That is we can find1

That is, we can find …

the square of the hypotenuse

by adding

the squares of the legs

c2

b2

a2

This fact is known as the Pythagorean Theorem!


Using the pythagorean theorem3

Looking for length of

the hypotenuse

a2 + b2 = c2

152 + 202 = x2

225 + 400 = x2

625 = x2

25 = x

Using the Pythagorean Theorem

x

15

20


Hw front back of the same ws1

HW (Front & Back of the Same WS)

  • Applications #1-2, 5-6 (circled)

  • Using the Pythagorean Theorem in Word Problems #1 (circled)


8 th grade math2

8th Grade Math

4th Period

Nov. 1, 2012


No hw review start warm up2

No HW Review; Start Warm-Up

Find the areas of the following:

1.2.3.

4.5.


Warm up answers2

Warm-Up: Answers

Find the areas of the following:

1.2.3.

4.5.What operation could be applied to the area in #5 to get the side length of the square?

A = 2 square units

A = 1 square unit

A = 4 square units

A = 5 square units

A = 1 square unit


So to find the diagonal d istance between t wo points y ou can2

So, to find the diagonal distance between two points, you can …

  • Draw a line segment between the points.

  • Make a square with the segment as a side.

  • Find the area of the square.

  • Take the square root of the area.


Do we have to make the square each time2

But …

Do We Have to Make the Square Each Time?


No notice that2

No! Notice that …

=

making

+

=


If we remember our original line segment2

If we remember our original line segment …

is the hypotenuse of

and we call the side lengths a, b, and c …

a2

c

b

a

+

=

b2

c2


That is we can find2

That is, we can find …

the square of the hypotenuse

by adding

the squares of the legs

c2

b2

a2

This fact is known as the Pythagorean Theorem!


Using the pythagorean theorem4

Looking for length of

the hypotenuse

a2 + b2 = c2

152 + 202 = x2

225 + 400 = x2

625 = x2

25 = x

Using the Pythagorean Theorem

x

15

20


Using the pythagorean theorem5

Looking for the diagonal distance

a2 + b2 = c2

32 + 42 = x2

9 + 16 = x2

25 = x2

5 = x

Using the Pythagorean Theorem

x

3

4


Hw front back of the same ws2

HW (Front & Back of the Same WS)

  • Applications #1-2, 5-6 (circled)

  • Using the Pythagorean Theorem in Word Problems #1 (circled)


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