pretest review (day 2) reviewing skills needed to succeed in geometry
TRANSCRIPT
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Pretest Review (Day 2)Reviewing skills needed to succeed in
Geometry.
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Agenda1. Warm Up
2. Review Homework
3. Review for Pretest (Day 2) #1-13.
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Homework Please get out your agenda and record tonight’s
homework.
Homework:
1. “Geometry –Review for PreTest” #15-26.
2. Parent Signature on Course Expectations.
3. REMINDER: PreTest is Monday, September 15.
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Learning ObjectivesObjectives
1. Identify and/or recognize: points, lines, segments, rays.
2. Identify special pairs of angles.
3. Find area and perimeter of a triangle.
4. Find the area and circumference of a circle.
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Warm Up
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The Coordinate Plane:Has 4 quadrants
The origin is at (0,0)
Coordinates are (x, y). x is horizontal coordinate, y is vertical coordinate
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Perimeter, Area, and Circumference
Perimeter: The sum of the lengths of the sides of a polygon (called circumference for circles)Units of measurement: in, yds, ft, miles,
meters, etc…
Area: The number of square units a polygon enclosesUnits of measurement: in2, cm2, mi2, etc…
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Triangle:Area = bh
2
1
b
h
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Pythagorean Theorem Used to find the missing side length of a right
triangle.
MUST be used on a right triangle
c is the hypotenuse, a and b are the legs of the right triangle
a2 + b2 = c2
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Circle:Radius: r
Diameter: d =2r
Circumference:
Area: d
r
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Let’s Practice!Try Problems #1-5 with the person next to
you.
I will select some of you to put your answers on the board. Be ready!
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Solving a System of Equations with 2 variables:
Example: Solve for x and y.
Since y is isolated in equation 1, we can use the substitution method.
Substitute 3x-5 from the first equation in for y in the second.
Then solve for x.
Use this value to find y.
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Solving a System of Equations with 2
variables:
Now, it’s your turn!
Try #7 on your classwork. Check your answer with the person behind you.
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Simplifying RadicalsA radical is in simplest form when the number under the
radical sign has no perfect square factors other than 1.
Example:
1.
Try these:
2.
3.
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Solving Quadratic Equations using the Square Root Method1. Isolate the term.
2. Take the square root of both sides.
3. Don’t forget the +/-
Example:
1. Solve for x.
Why?
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Let’s Practice!Complete #6-10 and #12 on the
classwork. Be prepared to present and explain how you got your answers.
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VocabularyLine:
A series of points that extends in 2 opposite directions without end
Can name a line by any two points on the line with a line above it, or by a single lower case letter.
(Please note: In Geometry, it is important to use the correct notations!!)
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Use the following image to answer the question.
1. Name a line.
.,,,
:
etcCBEFAB
Examples
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VocabularySegment: part of the line consisting of 2 endpoints
and all the points between them
How you name a segment: Use the 2 endpoints with a straight line above.
Ray: part of a line consisting of one endpoint and all the points of the line on one side of the endpoint
How you name a ray: Endpoint must be first, then any other point on the ray; write an arrow pointing to the right above
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Examples:
BA
or
AB
2. A B A B C
1.
Read “segment AB” or “segment BA”
AC
or
AB
Read “Ray AB” or “Ray AC”. DO NOT write Ray BA or Ray CA. Must name endpoint first!!
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Angles:Complementary 2 angles that add up to 90˚
Supplementary: 2 angles that add up to 180˚
All straight angles form a line, therefore measure 180˚
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Triangles:
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Let’s Practice. Complete #11 and #13 on your
classwork. Compare your answer with the person to your right. Be prepared to explain your answer to the class.
Don’t forget to use the proper notation!
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Nice work, Mathletes!