Concepts of unit 10

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Concepts Include:

• Circles• Algebraic Expressions• Pan Balances• Volume • Converting Units Of measure

Circles

Parts of a Circle and What They Are

• Parts of a Circle: • Circumference • Diameter • Radius • Area• What they Are:• Circumference: the distance around the circle• Diameter: the distance across the circle• Radius: the distance from the edge to the center of the

circle• Area: the amount of surface space inside the circle

Formulas

• Circumference of a circle: π x diameter• Area of a circle: π x radius2

Handy Hint: the radius is always half

the diameter.

PRACTICE PROBLEMS

• What is the area of this circle?• 7.065 ft2

• What is the circumference?• 9.42 ft• If this circle was three time larger what would the

new radius?• 4.5 ft

3ft

Algebraic Expressions 4 + x = 23

24 – 13 = b

WHAT ARE ALGEBRAIC EXPRESSIONS?

• Basically, number models with a missing number

• The variable, or lowercase letter represents the missing number or numbers.

12 – s = 7

Variable

Algebra is just the missing

number problems

from second grade.

Practice Problems

• 11 x b = 132• b = 12• 12 – j = -13• j = 25• 30 x c = 2,700,150• c = 90,005

Practice makes

perfect.

Pan Balances

M M M MC C

How to Operate Pan Balances

• Use logical thinking• If there are two pan balances, use both pan

balances• If there is two of the same item, cross them

both out

1 block = ? balls

The cross-

out method

PRACTICE PROBLEMS

• If the circle weighs 1, what does the block weigh?

• 0.5• If the block weighs 19.5, what does the circle

weigh?• 39

Volume

How to Find Volume• Multiply the area of the base, by the height• Or, length x width x height

L x W x HL x W x HL x W x H

Practice Problems• What is the height of this figure?• 20 m• If the volume was 480 m3, what would the height be?• 10 m 4 m

12 m

Volume= 960 m3

Converting Units of Measure

Conversion Charts

PRACTICE PROBLEMS• How many quarts are in a peck?• 8 quarts• How many yards are in a furlong?• 220• How many pints in a barrel?• 225• How many inches in 3 meters?• 118.1

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