Algebra Review

Pretest Review (Day 3)Reviewing skills needed to succeed in Geometry.

Pretest Review (Day 3)Reviewing skills needed to succeed in Geometry.

Agenda

1. Review Homework2. Warm Up3. Finish Notes: Review for Pretest (Day 3)

If time.**Jeopardy Review Game!**Homework Please get out your agenda and record tonights homework.

1. Geometry Review for Pretest #27-32.2. BREAKING NEWS!

Pretest has been moved to Wednesday, September 17th.

Learning Objectives1. Identify and/or recognize: points, lines, planes, segments, rays.2. Identify special pairs of angles.3. Find the surface area and volume of a prism.

Warm Up

Vocabulary

In Geometry, it is important to use the correct notations!

Line: A series of points that extends in 2 opposite directions without endCan name a line by any two points on the line with a line above it, or by a single lower case letter.

ABVocabulary - SegmentsSegment: 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.

Read segment AB or segment BA

AB

Vocabulary - Rays Ray: part of a line consisting of one endpoint and all the points of the line on one side of the endpointHow you name a ray: Endpoint must be first, then any other point on the ray; write an arrow pointing to the right above

Read Ray AB or Ray AC. DO NOT write Ray BA or Ray CA. Must name endpoint first!!

AB

Vocabulary - PlanesA flat surface that has no thicknessContains many linesExtends w/o end in the direction of all its linesNamed by a single capital letter OR by AT LEAST 3 POINTS NOT ON THE SAME LINE

Plane ABCParallel Planes //Planes that do not intersect

Example: 1. Name a plane parallel to plane EGH. Answer: Plane _____

HGEDABCFParallel Segments //1. Name 2 parallel segments.

ABCDUse the following image to answer the question.

Name a line.

2. Name a segment.

Name a ray.

Naming an AngleWhat is an angle?Formed by 2 rays with the same endpoint

How do you name an angle? 3 ways.

1

NOTE: the middle letter is the vertexVocabulary 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

Triangles:

Lets Practice!A question will appear on the ENOBoard. Write your answer on the whiteboard and raise it up.

1. Classify the Triangle (by angles)

2. Classify the triangle (by sides)

3. Solve for the missing side.

4. Name the Quadrant. (-2, -4)5. Find the measure of the missing angle.

Alternate Interior AnglesNon-adjacentLie on opposite sides of the transversal in between the 2 lines it intersectsRemember: interior means inside the parallel lines.These angles are congruent.

Alternate Exterior AnglesLie outside the 2 parallel lines on opposite sides of the transversal.These angles are congruent.

Corresponding AnglesLie on the same side of the transversalIn corresponding (same) positionsCorresponding angles are congruent.

Same Side _____________Same Side Interior Same Side ExteriorAngles are supplementary. (add up to ______).

Angles are supplementary (add up to ______).

Vertical Angles

Vertical angles share the same vertex.

Vertical angles are congruent.Surface Area

In words, the surface area of a rectangular prism is the area of the six rectangles that cover it.

But we don't have to figure out all six because we know that the top and bottom are the same, the front and back are the same, and the left and right sides are the same.Example: Find the surface area of the box. Volume The amount of space occupied by a 3D figure as measured in cubic units (as inches, quarts, or centimeters)

Volume= length x width x heightExample: Find the volume of the box shown.Probability

Using the spinner shown above, what is the probability of landing on an even number? Lets Finish the Classwork from last time.Nice work, Mathletes!