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Circles Algebraic Expressions Pan Balances Volume Converting Units Of measure

Circles

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

Circumference of a circle: π x diameter Area of a circle: π x radius 2 Handy Hint: the radius is always half the diameter.

What is the area of this circle? ft 2 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 = – 1 3 = b

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.

11 x b = 132 b = – j = -13 j = x c = 2,700,150 c = 90,005 Practice makes perfect.

Pan Balances M M C

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

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

Multiply the area of the base, by the height Or, length x width x height L x W x H

What is the height of this figure? 20 m If the volume was 480 m 3, what would the height be? 10 m 4 m 12 m Volume= 960 m 3

Converting Units of Measure

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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