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FORMULAS FORMULAS C= d C= d A=LW A=LW D=2r D=2r

FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

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Page 1: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

FORMULASFORMULASC= d A=LWC= d A=LW

D=2rD=2r

Page 2: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

QUOTE OF THE DAYQUOTE OF THE DAY““The greater the obstacle, the The greater the obstacle, the

more glory in overcoming it.”more glory in overcoming it.”

MoliereMoliere

Page 3: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

? Of the Day? Of the Day

Why didn’t and Why didn’t and

like talking to ?like talking to ?

Page 4: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

????PLEXER????????PLEXER????

SIGHT SIGHTSIGHT SIGHT

Page 5: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

JOURNAL TOPICJOURNAL TOPIC Some parents give their child Some parents give their child

an unusual name, such as an unusual name, such as Rainbow or Tree. What would Rainbow or Tree. What would be some possible effects of be some possible effects of this on the child’s life?this on the child’s life?

[email protected]@sanjuan.edu

? ?

Page 6: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

WEBSITEWEBSITE www.allmath.comwww.allmath.com

Page 7: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

GEOGRAPHYGEOGRAPHY Massachusetts Massachusetts Capital: BostonCapital: Boston

Page 8: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

FAMOUS PEOPLE FROM FAMOUS PEOPLE FROM MASSACHUSETTSMASSACHUSETTS

John & John Quincy AdamsJohn & John Quincy Adams John F. KennedyJohn F. Kennedy George BushGeorge Bush Paul ReverePaul Revere

Page 9: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

SpellingSpelling perimeterperimeter• circumferencecircumference diameterdiameter radiusradius widthwidth

Page 10: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

SpellingSpelling heightheight volumevolume rectangularrectangular areaarea pipi

Page 11: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

PERIMETER OF A PERIMETER OF A SQUARESQUARE

P = 4S (side)P = 4S (side)

If S = 2”, then 4 x 2” = 8”If S = 2”, then 4 x 2” = 8”

Page 12: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Word ProblemsWord Problems The Adams familyThe Adams family

are remodeling theirare remodeling their

bathroom. They wantbathroom. They want

to put decorative tile around the top ofto put decorative tile around the top of

the walls. The room is 8’ x 8’. Howthe walls. The room is 8’ x 8’. How

many feet will they need? P= 4S =4 x 8=many feet will they need? P= 4S =4 x 8=

32 feet of tile.32 feet of tile.

Page 13: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Perimeter of a Perimeter of a RectangleRectangle

P = 2L + 2W (length and width)P = 2L + 2W (length and width)

If L = 4” and W = 2”, thenIf L = 4” and W = 2”, then

2 x 4 = 8 and 2 x 2 = 4.2 x 4 = 8 and 2 x 2 = 4.

8” + 4” = 12”.8” + 4” = 12”.

Page 14: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Word ProblemsWord Problems The Bells want to put aThe Bells want to put a

railing around their new patiorailing around their new patio

which is 20’ by 10’. How manywhich is 20’ by 10’. How many

feet of railing will they need?feet of railing will they need?

P= 2L + 2W (2 x 20 + 2 x 10)]P= 2L + 2W (2 x 20 + 2 x 10)]

P = 40 + 20 = 60’ of railing.P = 40 + 20 = 60’ of railing.

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Perimeter of a TrianglePerimeter of a Triangle P = S + S + SP = S + S + S

If S one is 2”, S two is 3”, and If S one is 2”, S two is 3”, and S three is 4”, then P = 9”S three is 4”, then P = 9”

Page 16: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Word ProblemWord Problem The Bells have a smallThe Bells have a small

triangular garden area triangular garden area

which is 7’ x 6’ x 5’.which is 7’ x 6’ x 5’.

They wish to put a smallThey wish to put a small

fence around the garden.fence around the garden.

How much fencing will they need?How much fencing will they need?

P = 7+6+5 = 18’ of fencing.P = 7+6+5 = 18’ of fencing.

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Circumference of a Circumference of a CircleCircle

C= d (diameter) (3.14C= d (diameter) (3.14))

If d= 4”, then 3.14If d= 4”, then 3.14 x 4”x 4” 12.56” 12.56”

Page 18: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Word ProblemWord Problem The Bells new spa is 14’The Bells new spa is 14’ in diameter. They wishin diameter. They wish to put decorative tilesto put decorative tiles around the edge. Howaround the edge. How many feet of tile will they need?many feet of tile will they need? C= d (use pi = 22/7). They will C= d (use pi = 22/7). They will

needneed 44’ of tiles. (22 x 14 44’ of tiles. (22 x 14 2 2 ) = 44’) = 44’ 7 7 11

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JOKEJOKE

THE ROUNDEST KNIGHT AT King THE ROUNDEST KNIGHT AT King Arthur’s round table was Sir Arthur’s round table was Sir Cumference. He acquired his size Cumference. He acquired his size from too much pi.from too much pi.

Page 20: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Area of a SquareArea of a Square

A= SA= S

IfIf S = 2”, A = 4 square S = 2”, A = 4 square inchesinches

If S = 3”, A = 9 square” If S = 3”, A = 9 square”

(3 x 3)(3 x 3)

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Word ProblemsWord Problems If the Adams’ new bathroomIf the Adams’ new bathroom

is 8’ by 8’, how many 12”is 8’ by 8’, how many 12”

tiles will they need to tile thetiles will they need to tile the

bathroom?bathroom?

A = S squared, A = 8 squared,A = S squared, A = 8 squared,

A = 64 square feet or 64 tiles.A = 64 square feet or 64 tiles.

Page 22: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Area of a RectangleArea of a Rectangle

A = LW (length times A = LW (length times width)width)

If L = 4 and W = 2, then If L = 4 and W = 2, then A = 8 squareA = 8 square If L = 3If L = 3”” and W = 1 and W = 1””,,Then A = 3 square inches Then A = 3 square inches

Page 23: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Word ProblemsWord Problems If the Bells new patio is 20’If the Bells new patio is 20’

by 10’, how many 12” tiles by 10’, how many 12” tiles

will they need to cover thewill they need to cover the

patio? A = LW (20 x 10 = 200)patio? A = LW (20 x 10 = 200)

They will need 200 square feet orThey will need 200 square feet or

200 tiles.200 tiles.

Page 24: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Area of a TriangleArea of a Triangle

A = 1/2BH (base x height)A = 1/2BH (base x height) If B = 8If B = 8”” and H = 4 and H = 4””,,

then A = ½ of 32then A = ½ of 32A = 16 square inchesA = 16 square inches

Page 25: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Word ProblemsWord Problems If the Bells decide to If the Bells decide to

paint half of the tilespaint half of the tiles

a contrasting color, howa contrasting color, how

many tiles will they paint?many tiles will they paint?

A = ½ BH. B 20’ x H 10’ = 200’,A = ½ BH. B 20’ x H 10’ = 200’,

A = 100 square feet or 100 tiles.A = 100 square feet or 100 tiles.

Page 26: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Area of a CircleArea of a CircleA = r pi = 3.14A = r pi = 3.14 r= radiusr= radius If r = 3If r = 3”,”, then 3 squared is 9 then 3 squared is 9 3.143.14 x 9x 9 28.26 square inches28.26 square inches

Page 27: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Word ProblemsWord Problems The Bells want to make a coverThe Bells want to make a cover for their new spa. How muchfor their new spa. How much material will they need?material will they need? A= r . If the spa isA= r . If the spa is

14’ across, the radius is 7’, squared is 49’14’ across, the radius is 7’, squared is 49’ Use 22/7 for pi. Then 22 x 7 = 154 squareUse 22/7 for pi. Then 22 x 7 = 154 square feet. ( feet. ( 22 x 49 22 x 49 77 = = 22 x 7 = 154 )22 x 7 = 154 )

77 11

Page 28: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Volume of a CubeVolume of a Cube

V= SV= S If S = 3If S = 3”,”, then then

V = 3 x 3 x 3 = 27 cubic V = 3 x 3 x 3 = 27 cubic inchesinches

Page 29: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Volume of a RectangleVolume of a Rectangle

V = LWH (length xV = LWH (length x

width x heightwidth x height

If L = 3’, W = 2’ andIf L = 3’, W = 2’ and

H = 2’, then V = 12 cubic H = 2’, then V = 12 cubic feet.feet.

Page 30: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Volume of a CylinderVolume of a Cylinder V = r h V = r h If r = 4”, then 4 squaredIf r = 4”, then 4 squared = 16. If h= 2”, then= 16. If h= 2”, then V = 3.14 (pi)V = 3.14 (pi) x 32x 32 628628 942942 10,048 cubic inches10,048 cubic inches

Page 31: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Word ProblemWord Problem The Garden-Gro Shop has several The Garden-Gro Shop has several

different sizes of planter “boxes”.different sizes of planter “boxes”. Some are square, some rectangular, Some are square, some rectangular,

and some are round. We need to and some are round. We need to find the amount of potting soil we will find the amount of potting soil we will need for each kind and size need for each kind and size purchased.purchased.

Page 32: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Planters (cont.)Planters (cont.)

V=S If the sides ofV=S If the sides of

this cube-shaped planter box arethis cube-shaped planter box are

2’, then V=2 x 2 x 2 = 8 cubic feet.2’, then V=2 x 2 x 2 = 8 cubic feet.

Page 33: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Planters (cont.)Planters (cont.) If this rectangular flower boxIf this rectangular flower box

is 3’ x 2’ x 2’, then V=LWH oris 3’ x 2’ x 2’, then V=LWH or

3 x 2 x 2= 12 cubic feet.3 x 2 x 2= 12 cubic feet.

Page 34: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

Planters (cont.)Planters (cont.) If this circular flower pot has aIf this circular flower pot has a radius of 7” and is 10” high, thenradius of 7” and is 10” high, then V= r h.V= r h.

V= 22/7 x 7 x 10V= 22/7 x 7 x 10V= 22/7 x 49 x 10 (V= 22/7 x 49 x 10 (22/7 x 49 722/7 x 49 7))V = 22 x 7 x 10 = 154 x 10 = 1,540 V = 22 x 7 x 10 = 154 x 10 = 1,540

cubic “ of potting soil needed. cubic “ of potting soil needed.

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Answer to ? Of the DayAnswer to ? Of the Day and didn’t like talkingand didn’t like talking

to because he went on to because he went on forever!forever!

Pi = 3.1428571,etc! Pi = 3.1428571,etc!

Page 36: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

ANSWER TO PLEXERANSWER TO PLEXER

LOVE AT FIRST SIGHT!!LOVE AT FIRST SIGHT!!

Page 37: FORMULAS C= d A=LW C= d A=LW D=2r D=2r. QUOTE OF THE DAY The greater the obstacle, the more glory in overcoming it. The greater the obstacle, the more

NEXT TIMENEXT TIME

ALGEBRA ANDALGEBRA AND