GHSGT

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GHSGT

• Shaw High School
• Dr. Pamela Anders
• Mrs. Nila Burt

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Dont forget!!!

• Bring CalculatorNo Graphing Calculators or Cell
  Phone Calculators.
• No Cell Phones

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Numbers computation (17-19 of test)
Changing percents to decimals
T o change a percent to a decimal, move the
decimal two places to the
Left!
46
.46
1.08
108
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Squares
Square Roots
42
4 ? 4
16
Some are pretty easy
49
72
7 ? 7
Some are a little harder
You will need to find the prime factors.
Then you need to rewrite the square root in
primes.
220
22 ? 10
For every two in the boxyou can take one out!
2 ? 11 2 ? 5
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Number Lines
x ? 4
x ? ½
x ? -1
x ? -2
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Changing Fractions to Decimals
The student will need to divide the numerator by
the denominator!
Round.If the number after the place value you
want to round to is greater than or equal to
five, you can round up.
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Algebraic Properties
Addition a b b a
Commutative Property
Multiplication a ? b b ? a
Which of the following pairs of activities could
be used to illustrate the commutative property?
A. writing on the chalkboard and erasing the
chalkboard

• putting a dime and a quarter into a vending
  machine
• putting on your shoes and socks
• turning on a lamp at night and reading a book

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Algebraic Properties
Associative Property
Addition (a b) c a (b c)
Multiplication a(b ? c) (a ? b)c
During the first year of operation, the noise
level at the county Airport was recorded as d
decibels. In the second year, the noise level
increased by 35 decibels, and in the third year
it Increased again by 40 decibels. The noise
level after 3 years Could be expressed as (d
35) 40.
A. d 35 40

• d (35 40)
• 35d 40
• d(35 40)

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Identity Properties
Addition Identity a 0 a
Multiplication Identity a ? 1 a
Think Identity (I)what gets you back
to yourself?
Distributive Property
a(b c) a ? b a ? c
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Simple Interest / Sales Tax
--multiplying a number by a percentage
Dr. Anders wants to buy new shoes which
cost 26.50. The tax in Columbus is 8. What
will Dr. Anders pay for her shoes?
26.50 X .08 2.12
26.50 2.12 28.62
or26.50 X 1.08 28.62
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Store Discounts
Dr. Arnold wants to buy a new saxophone which
cost 1,512.79. The music store has a discount
for school principals of 20. How much will the
new price be?
1,512.79 X .20 302.56
1,512.79 302.56 1,210.23
or1,512.79 X .80 1,210.23
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Estimation
Estimate the sum of 62, 59, 55, 67, and 61.
61
60
60
62
61

• 300
• 305
• 400
• 500

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Probability and Data Analysis 19 of Test
Reading Graphs
Bar Graphs
Line Graphs
Pictographs Graphs
Circle Graphs
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The results of a poll asking, Who is your
favorite late night talk-show host? are
shown. Keenan Ivory Wayans..20 David
Letterman23 Jay Leno.32 undecid
ed...25
Which type of graph should be used to show
the results of the poll?

• bar graph
• circle graph
• line graph
• pictograph

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Meanthe average
Medianthe middle number
Modethe most frequent number
Rangethe difference between the
highest and lowest number
2, 2, 3, 3, 5, 5, 5, 5, 6, 6, 7, 7, 9
What is the mean?
65/13 5
What is the median?
5
5
What is the mode?
9 2 7
What is the range?
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The youngest person in an audience of 600
people is thirteen years old. The range of ages
is forty five years. Which is the age of the
oldest member of the audience?
x 13 45

• 32 years
• 45 years
• 46 years
• 58 years

x 58
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To determine the mass of a piano, which is the
most appropriate unit of measure?

• grams
• centigrams
• dekagrams
• kilograms

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Celsius Fahrenheit
Tc (5/9)(Tf-32) Tc temperature in degrees
Celsius, Tf temperature in degrees Fahrenheit
If its 38? F, how many C?
38? 32? 4?
4? X 5 20?
20? ? 9 2.2?
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12 inches 1 foot 100 centimeters 1 meter 3
feet 1 yard 8 ounces (oz) 1 cup 16 oz 1
pound (lb.) 5280 feet 1 mile
Distance d rt d distance (e.g., miles r
rate (e.g., mph) t time (e.g., 2hrs.)
Time Units
1 hr 60 min1 min 60 seconds1 hr 60 x 60
3600 seconds
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If a bag has 45 ounces of bird seed, how
many pounds does it contain?

• between 0.2 and 0.3 pounds
• between 2.0 and 2.5 pounds
• between 2.5 and 3.0 pounds
• between 4.0 and 4.5 pounds

16 ounces in a pound
16x 1(45)
x 45 ? 16
x 2.81
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Geometry 34 of Test
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Line of Symmetry

• A figure in a plane has a line of symmetry if the
  figure can be mapped onto itself by a reflection
  in the line.

The line through the figure on the left is a line
of symmetry. This figure has several more, can
you find them?
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TRANSFORMATIONS

• The transformation is the operation that maps or
  moves the pre-image onto the image.
• There are 3 basic transformations. They are
  reflections, rotations, and translations.

Let's Link to Practice
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Reflection IS THE TYPE OF TRANSFORMATION THAT
USES A LINE THAT ACTS LIKE A MIRROR WITH AN IMAGE
REFLECTED IN THE LINE.
Line of Reflection
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Translation

• Can also be called a slide
• Can translate horizontally
• Can translate vertically
• Can combine both movements
• How did triangle ABC slide?
• 3 units to the right
• 5 units down

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Rotations

• Can be called a turn
• Must turn about a point, called the center of
  rotation
• Look at the figure to the left. The figure
  rotates round the center of the figure.

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Sides
Vertex
The vertex is ALWAYS the middle letter.
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Congruence Figures

• Two geometric figures are congruent if they have
  exactly the same size and shape.
• When two figures are congruent there is a
  correspondence between their angle and side such
  as that corresponding angles are congruent and
  corresponding sides are congruent.

?
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Dont forget the m when using equality!
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Equilateral Triangles

• Have 3 congruent sides.

Isosceles Triangles

• Have at least 2 congruent sides

Can an equilateral triangle be an isosceles also?
It always is!
Scalene Triangles

• Have no congruent sides.

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Classification by Angles

• Acute- has 3 acute angles which
• are less then 90?.
• Equiangular- has 3 congruent angles.
• Right- has 1 right angle 90?.
• Obtuse- has 1 obtuse angle which is greater than
  90?.

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Classify the triangle by its angles and by its
sides.
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Right Scalene
Acute Isosceles
Equiangular Equilateral
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When two figures are congruent, there is a
correspondence between their angles and sides
such that corresponding angles are congruent and
corresponding sides are congruent.
Congruency Statement ?ABC ? ?PQR
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Triangle Congruence Postulates

• Side-Side-Side- (SSS)
• Side-Angle-Side- (SAS)
• Angle-Side-Angle- (ASA)
• Angle-Angle-Side- (AAS)
• Hypotenuse Leg- (HL) Only with right triangles

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Corresponding Angles are Congruent.
Statement of Proportionality
Corresponding Sides are Proportional.
means is similar to
The difference between congruent similaris the
side lengths!
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I need to enlarge a picture of a Razorback . I
know the width of my enlargement how can I find
the length?
5in
3.5in
x in
3.5x 5(16)
3.5x 80
16 in
x 22.86 in
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Area and Perimeter
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Types of solids.
Cone
Pyramid
Prism
Sphere
Cylinder
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The volume of a cylinder is found by using the
formula V ?r2h. How do the volumes of
cylinder A and cylinder B compare?
3
5
5
B
3

• The volume of cylinder A is larger.
• The volume of cylinder B is larger.
• It is not possible to compare the volumes
• The volumes of cylinder A and
• cylinder B are the same

A
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• Two lines are called perpendicular lines if they
  intersect to form a right angle.
• A line perpendicular to a plane is a line that
  intersects the plane in a point and is
  perpendicular to every line in the plane that
  intersects it.

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Collinear Coplanar Points

• Collinear Points Points that lie on the same
  line.
• Coplanar Points Points that lie on the same
  plane.
• 
  
  

• Answers
• D,E,F
• G,D,E,F
• H

• Name 3 collinear points.
• Name 4 coplanar points
• Name a noncoplanar point.

H
G
F
E
D
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Corresponding Angles

• If two parallel lines are cut by a transversal,
  then the pairs of Corresponding Angles are
  Congruent.

1
?1 ? ?2
2
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Alternate Interior Angles

• If two parallel lines are cut by a transversal,
  then the pairs of
• Alternate Interior Angles are Congruent.

1
?1 ? ?2
2
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Consecutive Interior Angles

• If two parallel lines are cut by a transversal,
  then the pairs of
• Consecutive Interior Angles are Supplementary.

4
m?4 m?5 180?
5
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Alternate Exterior Angles

• If two parallel lines are cut by a transversal,
  then the pairs of
• Alternate Exterior Angles are Congruent.

1
?1 ? ?2
2
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James Road and River Road are parallel. What is
the measure of ?A?
180? - 70? 110?
River Road

• 70?
• 90?
• 100?
• 110?

A
70?
70?
James Road
Dunston Road
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Angle Pair Relationships
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Pythagorean Theorem

• a2 b2 c2

The hypotenuse is always across from the right
angle!
c
b
a
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Complementary Angles
Supplementary Angles
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If ?A and ?B are complements, and ?B and ?C are
complements, what must be true of ?A and ?C?

• They have the same measure.
• They are supplementary angles.
• They are complementary angles.
• They are interior angles of a polygon.

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• What is the sum of the interior angles of a
  quadrilateral?
• How many sides does a quadrilateral have? 4
• Use the formula
• (4-2)180??
• 2(180?)
• 360?

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Sarahs flower garden is in the shape of a
hexagon. What is the sum of the degree
measures of the interior angles of her garden?

• 120?
• 180?
• 360?
• 720?

• How many sides does a hexagon have? 6
• Use the formula
• (6-2)180??
• 4(180?)
• 720?

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In the figure shown here, no sides are parallel.
m?1 60?. What must be true of the other 3
angles?
3
4
60?
1
2

• Angles 2, 3, 4 must be right angles.
• We cannot know the measure of the other angles.
• m?4 120?, but we cant tell about Angles 2 3.
• The sum of m?2 m?3 m?4 360?

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Please Excuse My Dear Aunt Sally
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The ratio of a to b can be written a couple of
ways
a b
Ratios can be reduced 68 ?
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a?b
ab

• If one out of 5 people drink Cola Drinks, how
• many people can be expected to drink Cola Drinks
• in a city of 45,000 people?
• 900
• 9,000
• 44,995
• 225,000

5x 1(45,000)
x 9,000
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Translating Words into Algebraic Expressions

• Multiplication
• Times
• Product
• Twice
• Square of
• Cube of

• Addition
• Sum
• Total
• More than
• Increased by

• Subtraction
• Minus
• Less than
• Difference
• Decreased by
• Reduced by

• Division
• Half
• Quotient of
• The ratio of

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Which of the following algebraic expressions
corresponds to five reduced by the product of
a number and six?
A. B. 6n 5 C. 5 6n
D. 5 6n
Which of the following algebraic expressions
corresponds to the sum of x and y, multiplied
by one-third of z?

• B. (x y)
• C. 3z(x y) D. (x - y)

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Which of the following algebraic expressions
corresponds to x increased by 2 is equal to
one-third of y?

• x 2 B. x 2
• C. x 2 3y D. 2x

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• Let a, b, and c be real numbers.
• ADDITION PROPERTY If a b, then a c b c.
• SUBTRACTION PROPERTY If a b, then a - c b -
  c.
• MULTIPLICATION PROPERTY If a b, then ac bc.
• DIVISION PROPERTY If a b and c ? 0, then a c
  b c.

3(4x 1) 8x 17 12x 3 8x 17 4x 3
17 4x 20 x 5
Distribution Prop. of Equaltiy Subtraction Prop.
of Equality Addition Prop. of Equality Division
Prop. of Equality
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Lindas math homework required her to
simplify. If possible, algebraic expressions.
She simplified an expression this way

• Which statement explains what Linda did?
• She simplified the expression correctly.
• She canceled incorrectly, and the answer is
  incorrect.
• She should have canceled on the 3s and the
  answer is
• incorrect.
• She did not add the terms in the numerator, and
  the
• answer is incorrect.

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This PowerPoint is on Mrs. Burts website
http//teacherweb.com/GA/ShawHighSchool/NilaBurt/