AIDE Pre-Algebra Assignment Guide and Key Points
Chapter 10 "Graphing"
Lesson 1 "Graphing Equalities"
Turn to Pages 275 Look at the picture on the facing page and predict how it relates to Pre-algebra.
On Page 275 Read the short introduction to Chapter 10
On Page 275 Read the goals you will achieve this chapter.
Scan Pages 276; focus on the purple colored boxes, which contain the key vocabulary terms.
Read Through Page 276 and work through the 2 examples (take notes of important ideas)
Select 2 problems from Exercise A, 2 from B 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 "Graphing Equalities" (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
Equality - the state of being equal; shown by the equal sign.
Graphing - Showing on a number line the relationship of a set of numbers.
Solution - The value of a variable that makes an open statement.
Section Review Answers
Did you learn these Objectives?
Can you graph equalities and solutions to equalities on a number line?
Lesson 2 "Graphing Inequalities"
Scan Page 278; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Page 278 read the box outlined in green.
Read Through Pages 278-279 and work through the 4 examples (take notes of important ideas)
Select 3 problems from Exercise A, 4 from B and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 2 "Graphing Inequalities" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 2 Key Points
Inequality - Two quantity that are not the same; shown by the less than, greater than, and unequal to signs.
Are you able to graph inequalities and solutions to inequalities on a number line?
Lesson 3 "Graphing Solutions of Equalities"
Read Through Page 282 and work through the 2 examples (take notes of important ideas)
Select 3 problems from Exercise A, 2 from B and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 3 "Graphing Solutions of Equalities" (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 graph the solution to an equality on a number line?
Lesson 4 "Graphing Solutions of Inequalities"
Scan Page 284 for square boxes in the margins outlined in green. Read the info there.
Read Through Page 284 and work through the 2 examples (take notes of important ideas)
Select 5 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 4 "Graphing Solutions of Inequalities" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 4 Key Points
Can you graph the solution to an inequality on a number line?
Lesson 5 "The Coordinate System–Locating Points"
Scan Page 286; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 286-288 and work through the 3 examples (take notes of important ideas)
Select 4 problems from Exercise A, 3 from B, 2 from C complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 5 "The Coordinate System–Locating Points" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
Vertical - straight up and down.
Horizontal - left to right or parallel to the horizon.
Coordinate system - a way of using number lines to locate points on a plane or in space.
x-axis - the horizontal, or left-to-right, axis in a coordinate system.
y-axis the vertical, or up-and-down, axis in a coordinate system.
Quadrant - one of four regions of a coordinate system bounded by the x-axis and y-axis.
Origin - the point at which the x-axis and y-axis in the coordinate system intersect.
Ordered pair - a set of two real numbers that locate a point in a plane
Can you locate points corresponding to ordered pairs of numbers in a coordinate system?
Are you able to identify points in a coordinate grid using ordered pairs?
Lesson 6 "The Coordinate System–Plotting Points"
Read Through Pages 290-291 and work through the 2 examples (take notes of important ideas)
Select 4 problems from Exercise A, 2 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 "The Coordinate System–Plotting Points" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 6 Key Points
Did you learn this Objectives?
Are you able to plot a point, an ordered pair of numbers, on a coordinate grid?
Lesson 7 "Determining the Points of a Line"
Scan Page 292; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 292-295 and work through the 3 examples (take notes of important ideas)
Select 2 problems from Exercise A, 1 from B, 2 from C and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 7 "Determining the Points of a Line" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 7 Key Points
Linear Equations - an equation whose graph is a straight line.
Are you able to produce ordered pairs that represent solutions to equations?
Can you graph the line of an equation using ordered pairs?
Lesson 8 "Graphing Lines"
Read Through Pages 296-297 and work through the 2 examples (take notes of important ideas)
Select 3 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 8 "Graphing Lines" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 8 Key Points
Are you able to graph a linear equation using a table of values to produce three points on the line?
Lesson 9 "The Slope of a Line"
Scan Page 298; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read the little box shaped outlined in green on page 298.
Read Through Page 298-299 and work through the 3 examples (take notes of important ideas)
Select 3 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 9 "The Slope of a Line" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 9 Key Points
slope - The measure of the steepness of a line; slope = rise/run
Can you determine the slope of a line; rise/run?
Lesson 10 "Formula for the Slope of a Line"
Read Through Pages 300-302 and work through the 3 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)
Take the quiz on Lesson 10 "Formula for the Slope of a Line" (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 determine the slope of a line using the formula m = (y2 - y1) / (x2 - x1) ?
Lesson 11 "The Slope-Intercept Form of a Line"
Scan Page 304; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 304-306 and work through the 3 example (take notes of important ideas)
Select 1 problem from Exercise A, 2 from B, 4 from C and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 11, "The Slope-Intercept Form of a Line" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 11 Key Points
x-intercept - the point at which a line crosses or intersects the x-axis.
y-intercept - The point at which a line crosses or intersects the y-axis.
Slope-intercept form - the slope-intercept form of a line in which m = slope and b = y-intercept is y=mx + b
Are you able to recognize y = mx + b as the slope-intercept form for a linear equation?
Can you write an equation that describes a line with a given slope and passing through given points?
Application of Pre-Algebra from Chapter 10
Look at the picture on the bottom of page 308 and guess how it relates to pre-algebra.
Read from the top of page 308 and work through the example.
Complete 1 problem 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 10, "Graphing Commission Sales" (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 use a line representing commission sales to predict sales income?
Preparing for Chapter 10 Test
Turn to Pages 309-311 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 309-311.
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 10 Test "Graphing"
Review the answers then print the results for your records.
Congratulations, if you completed all the items above, you finished Chapter 10!!