no need to fear! super- jack is here to help you with unit 10 help!
TRANSCRIPT
Concepts of unit 10
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No need to fear! Super-Jack is here to help you with 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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