AIDE Pre-Algebra Assignment Guide and Key Points
Chapter 11 "Geometry"
Lesson 1 "Angles and Angle Measures"
Turn to Pages 313 Look at the picture on the facing page and predict how it relates to Pre-algebra.
On Page 313 Read the short introduction to Chapter 11
On Page 313 Read the goals you will achieve this chapter.
Scan Page 314; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Page 314 for square boxes in the margins outlined in green. Read the info there.
Read Through Pages 314-315 and work through the 2 examples (take notes of important ideas)
Select 3 problems from Exercise A, 3 from B, 1 from C and complete them. (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 Measures" (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
Intersection - A point at which two or more lines cross in a figure.
Ray - part of a line–a ray has one endpoint and extends forever in one direction.
Vertex - a common point to both sides of an angle.
Protractor - a tool used to draw or measure angles.
Section Review Answers
Did you learn these Objectives?
Can you identify angles by their labeled rays and endpoint?
Are you able to use a protractor to measure angles?
Lesson 2 "Identifying and Classifying Angles"
Scan Page 316; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Pages 316-317 read the two boxes outlined in green.
Read Through Pages 316-317 and work through the 2 examples (take notes of important ideas)
Select 2 problems from Exercise A, 2 from B, 2 from C, and 2 from D and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 2 "Identifying and Classifying Angles" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 2 Key Points
Adjacent angle - two angles that have the same vertex and one side in common.
Vertical angles - pairs of opposite angles formed by intersecting lines–vertical angles have the same measure.
Acute - an angle less than 90 degrees.
Obtuse - an angle with a measure between 90 and 180 degrees.
Are you able to identify angles formed by intersecting lines as adjacent or vertical?
Can you classify angles as acute, right, obtuse, or straight?
Lesson 3 "Complementary and Supplementary Angles"
Scan Page 318; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 318-320and work through the 3 examples (take notes of important ideas)
Select 2 problems from Exercise A, 3 from B, 3 from C, and 2 from D and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 3 "Complementary and Supplementary Angles" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 3 Key Points
Complementary angles - Two angles whose sum of their measures is 90 degrees.
Supplementary angles - two angles whose sum of their measures is 180 degrees.
Did you learn this Objective?
Are you able to identify complementary and supplementary angles?
Can you calculate the measure of one complementary angle, given the measure of the other?
Are you able to calculate the measure of one supplementary angle, given the measure of the other?
Lesson 4 "Angle Measure in a Triangle"
Scan Page 323; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Pages 322 and 324 which contain a small purple box with important information. Write that information in your notes.
Read Through Pages 322-324 and work through the 4 examples (take notes of important ideas)
Select 3 problems from Exercise A, 3 from B, 3 from C, and 1 from D and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 4 "Angle Measure in a Triangle" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 4 Key Points
Exterior angle - an angle formed by extending one side of a polygon at any vertex.
Interior angle - any angle within a polygon.
Can you demonstrate that the sum of the measures of the angles in a triangle is 180 degrees?
Are you able to demonstrate that an exterior angle is supplementary to the adjacent interior angle of a triangle.
Can you calculate the measures of angles inside and outside a triangle?
Lesson 5 "Naming Triangles"
Scan Page 236; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 326-327 and work through the example (take notes of important ideas)
Select 4 problems from Exercise A and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 5 "Naming Triangles" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
Tick - a short line used to mark the side of a triangle.
Acute triangle - a triangle with three acute angles.
Obtuse triangle - a triangle with one obtuse angle.
Equiangular triangle - a triangle with three equal angles, each measuring 60º.
Can you identify and name triangles according to their angle sizes and side lengths?
Lesson 6 "Congruent Triangles"
Scan Page 328; focus on and read the purple colored box, which contain the key vocabulary term.
Read Through Pages 328-329 and work through the 2 examples (take notes of important ideas)
Select 2 problems from Exercise A, 1 from B and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 6 "Congruent 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.
Did you learn this Objectives?
Are you able to identify triangles that are congruent.
Can you comprehend that triangles are congruent if they have two sides and an included angle that are equal?
Are you able to understand that triangles are congruent if they have three equal corresponding sides?
Are you able to understand that triangle are congruent if they have two angles and an included side that are equal?
Lesson 7 "Similar Triangles"
Scan Page 330; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 330-331 and work through the 2 examples (take notes of important ideas)
Select 3 problems from Exercise A, 3 from B and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 7 "Similar Triangles" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 7 Key Points
Similar - Figures that have the same shape but not the same size.
Corresponding angles - Interior or exterior angles of figures in the same position as those of figures with the same shape.
Are you able to identify similar triangles?
Are you able to comprehend the proportionality of sides of similar triangles?
Can you use reason to determine the similarity of various classes of triangles?
Lesson 8 "Parallelograms"
Read Through Pages 332-333 and work through the example (take notes of important ideas)
Select 1 problem from Exercise A, 3 from B, 1 from C and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 8 "Parallelograms" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 8 Key Points
None
Are you able to differentiate trapezoids, rhombuses, squares, rectangles, and parallelograms?
Can you identify quadrilaterals by the length and orientation of their lines?
Lesson 9 "Quadrilaterals and Diagonals"
Scan Page 334; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Page 334 and work through the 4 examples (take notes of important ideas)
Select 2 problems from Exercise A, 3 from B and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 9 "Quadrilaterals and Diagonals" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 9 Key Points
Diagonal - a line segment connecting two vertices that are not next to each other.
Can you demonstrate that every quadrilateral contains angles totaling 360 degrees.
Are you able to use the Pythagorean theorem to find the lengths of quadrilateral sides and diagonals?
Are you able to find squares and square roots using a calculator?
Lesson 10 "Polygons and Diagonals"
Read Through Pages 336-337 and work through the 3 examples (take notes of important ideas)
Select 5 problems from Exercise A and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 10 "Polygons and Diagonals" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 10 Key Points
Are you able to construct all possible diagonals from one vertex of a polygon?
Can you identify polygons by the number of their sides?
Are you able to calculate the number of degrees in a polygon as (n-s)180º, where n = number of sides?
Application of Pre-Algebra from Chapter 11
Look at the picture on the bottom of page 338 and guess how it relates to pre-algebra.
Read from the top of page 338 and work through the example.
Complete 2 problems from the exercises at the bottom. (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 Applying Chapter 11, "Drawing Polygon Tessellations" (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 identify true tessellations?
Can you draw tessellations using several different polygons?
Preparing for Chapter 11 Test
Turn to Pages 339-341 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 339-341.
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 11 Test "Geometry"
Review the answers then print the results for your records.
Congratulations, if you completed all the items above, you finished Chapter 11!!