AIDE Algebra 1 Assignment Guide and Key Points
Chapter 12 "Geometry"
Lesson 1 "Angles and Angle Measure"
Turn to Pages 355 Look at the picture on the facing page and predict how it relates to Algebra.
On Page 355 Read the short introduction to Chapter 12
On Page 355 Read the goals you will achieve this chapter.
Scan Pages 356-358; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Page 357; focus on the green outlined box, See how the word commute relates to Algebra.
Write the information from the puple box on Page 356 on your notecards and try to memorize it.
Read Through Pages 356-358 and work through the 4 examples (take notes of important ideas)
Complete the even numbered problems from exercises A, B, C, and D on page 359 (This is for practice you will be graded only on the quiz and tests)
(Compare your answers with these. If you missed any do three more from that section until you get them right.)
Do you know the vocabulary words? (See Key Points below for help)
Take the quiz on Lesson 1 "Angles and Angle Measure" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Review answers on the quiz and print it out. This will be very useful when you are studying for the test.
Lesson 1 Key Points
Vocabulary Terms
Ray - A set of points that is part of a line. It has one endpoint and extends infinitely in one direction.
Angle - A geometric figure made up of two rays with a common endpoint called a vertex.
Vertex - A point common to both sides of an angle.
Adjacent angle - An angle that shares a vertex and a common side with another angle.
Vertical angles - Pares of opposite angles formed by intersecting lines. Vertical angles have the same measure.
Complementary angles - Two angles whose sum of their measures is 90 degrees.
Supplementary angles - two angles whose sum of their measures is 180 degrees.
Section Review Answers
Did you learn these Objectives?
Can you classify angles as acute, right, obtuse, or straight?
Are you able to identify compementary and supplementary angles?
Can you calculate angle measure?
Lesson 2 "Pairs of Lines in a Plane and in Space"
Scan Page 360-362; focus on the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 360-362 and work through the example (take notes of important ideas)
Complete the even numbered problems from exercises A, B, C, and D on page 363 (This is for practice you will be graded only on the quiz and tests)
(Compare your answers with these. If you missed any do three more from that section until you get them all right.)
Take the quiz on Lesson 2 "Pairs of Lines in a Plane and in Space" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 2 Key Points
Plane - a two -dimensional flat surface.
Transversal - a line that intersects two or more lines.
Exterior angles - angles that are formed outside two lines cut by a transversal.
Interior angles - angles that are formed inside, or between, two lines cut by a transversal.
Corresponding angles - interior and exterior angles on the same side of a transversal cutting through parallel lines.
Theorem - a staement that can be proven.
Are you able to identify lines as intersecting, parallel, or skew?
Can you identify angles created by a transversal as interior or exterior, supplementary, alternate interior, or corresponding?
Are you able to calculate the measures of angles within a set of parallel lines cut by a transversal?
Lesson 3 "Angle Measures in a Triangle."
Read Through Pages 364-366 and work through the 4 examples (take notes of important ideas)
Complete the even numbered problems from exercises A, B and C on page 367 (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 3 "Angle Measures in a Triangle" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 3 Key Points
None
Did you learn this Objective?
Are you able to prove that the sum of the measures of the angles in any triangle is 180degrees?
Can you prove that the measure of any exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles?
Are you able to find the measure of an angle within a triangle?
Lesson 4 "Naming Triangles"
Scan Page 368; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Pages 368-369 for square boxes in the margins outlined in green. Read the info there.
Read Through Pages 368-369 and work through the example (take notes of important ideas).
Complete the even numbered problems from exercises A and B on page 369 (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 4 "Naming Triangles" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 4 Key Points
Acute triangle - A triangle with three acute angles.
Equiangular triangle - A triangle with three angles, each measuring 60 degrees.
Scalene triangle - a triangle with no equal sides.
Isoscele triangle - a triangle with two sides of equal length.
Obtuse triangle - a triangle with one obtuse angle.
Can you identify triangles as acute, equiangular, obtuse, or right?
Are you able to identify triangles as scalene, isosceles, or equilateral?
Lesson 5 "Quadrilaterals"
Scan Page 370; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 370-371 and work through the example (take notes of important ideas)
Complete the even numbered problems from exercises A and B on page 371 (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 5 "Quadrilaterals" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
Parallelogram - a four-sided polygon with two pairs of equal and parallel sides.
Trapezoid - a four-soded polygon with one pair of parallel sides and one pair of sides that are not parallel.
Rectangle - a four-sded polygon with four right angles and the opposite sides equal.
Square - a polygon with four equal sides and four right angles.
Rhombus - a four-sided polygon wth four parallel sides the same length.
Can you identify and construct parallelogram, rectangle, rhombus, square, and trapezoid forms?
Are you able to compute the measures f the four angles of a quadrilateral?
Lesson 6 "Congruent and Similar Triangles"
Scan Page 272-274; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 372-374 and work through the 4 examples (take notes of important ideas)
Complete the even numbered problems from exercises A, B, and Con page 375(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 6 "Congruent and Similar Triangles" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 6 Key Points
Congruent - figures that have the same size and shape.
Similar - Figures that have the same shape but not the same size.
Did you learn this Objectives?
Can you identify triangles that are congruent?
Are you able to identfiy triangles that are similar?
Are you able to comprehend that triangle are congruent if they have two sides and an included angle that are equal or three equal corresponding sides or two angles and an included side that are equal?
Lesson 7 "Trigonometric Ratios"
Scan Pages 376-378; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 376-378 and work through the 5 examples (take notes of important ideas)
Write the information from the purple box on Page 376 on your notecard / bookmark.
Complete the even numbered problems from exercises A, B, C, and D on pages 378-379 (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 7 "Trigonometric Ratios" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 7 Key Points
Trigonometric ratios - angles measured by ratios of the sides of a right triangle.
Are you able to identify the hypotenuse of a right triangle?
Can you comprehend the proportionality of right triangles?
Are you able to calculate sine, cosine, and tangent of angle A in a right triangle, with or without a calculator?
Application of Algebra from Chapter 12
Look at the picture on the bottom of page 380 What does the quilt have to do with using geometric shapes? (for your thinking process. do not have to answer for grading).
Read from the top of page 380 and study the example.
Read the directions to the Exercise and complete 3 of the problems. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Applying Chapter 12, "Using Geometric Shapes" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Application 1 Key Points
Are you able to determine the number of diangonals that can be drawn in a figure?
Can you detect the pattern that predicts the number of diagonals in a shape with n sides?
Preparing for Chapter 12 Test
Turn to Pages 381-383 and work through all even numbered problems, (2,4,6,8,...).
Check your answers with these. (This is for practice you will be graded only on the quiz and tests)
If you missed more than 4 problems work through all the odd numbered problems on pages 381-383.
Check your answers with those in the Chapter Review answers.
If you missed more than 4 problems this time contact your instructor for extra help: jmarley@yksd.com.
Take the Chapter 12 Test "Geometry"
Review the answers then print the results for your records.
Congratulations you finished Chapter 12!!