AIDE Algebra 1 Assignment Guide and Key Points
Chapter 3 "Linear Equations with One Variable"
Lesson 1 "Writing Equations"
Turn to Page 63 Look at the picture on the facing page and predict how it relates to Algebra.
On Page 63 Read the short introduction to Chapter 3
On Page 63 Read the goals you will achieve this chapter.
Scan Page 64; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Page 64; focus on the green outlined box.
Read Through Page 64 and work through the 2 examples (take notes of important ideas)
Complete 8 problems from Exercise A, B8; 4 from each section? (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 "Writing Equations" (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
Equation - a mathematical sentance stating that two quantities are equal and written as two expressions separated by an equal sign (4n + 4n = 8n)
Section Review Answers
Did you learn these Objectives?
Can you write statements of equality in the form of equations?
Are you able to determine whether equations are true for specified values of the variable?
Lesson 2 "Solving Equations: x - b = c"
Scan Page 67; focus on the purple colored boxes, which contains the rule the lesson is based on.
Write that rule on your notecard/bookmark.
Scan Page 66; Read the green outlined box in the margin.
Read Through Page 66 and work through the three examples (take notes of important ideas)
Select 12 problems from Exercise A, B, C; 4 from each section? (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 "Solving Equations: x - b = c" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 2 Key Points
none
Are you able to solve equations of the form x - b = c ?
Can you employ adding opposites as a strategy for solving equations?
Lesson 3 "Solving Equations: x+b=c"
Scan Page 68; Read the box in the margin.
Read Through Page 68 and work through the 3 examples (take notes of important ideas)
Write the Rule from the top of page 69 on your important note card(s), (Use as a bookmark)
Complete the even numbered problems from Page 69? (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 3 "Solving Equations: x + b = c" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 3 Key Points
Did you learn this Objective?
Are you able to solve equations of the form x+b=c?
Can you use the addition of opposites as a strategy for solving equations?
Lesson 4 "Solving Muliplication Equations"
Read Through Page 70 and work through the 2 examples (take notes of important ideas)
Select the even numbered problems from Page 71 and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 4 "Solving Mulitplication Equations" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 4 Key Points
Can you use multiplication by reciprocals to solve multiplication equations?
Lesson 5 "Solving Equations with Fractions"
Scan Page 72; Read the information in the small green box.
Read Through Page 72 and work through the 2 examples (take notes of important ideas)
Write the rule on the bottom of page 72 on your notecards (bookmark)
Complete the even numbered problems from Exercise A, B. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 5 "Solving Equations with Fractions" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
Can you use multiplication by reciprocals to solve multiplication equations in which the coefficient of the variable is a fraction?
Lesson 6 "Solving Equations - More than one Step"
Read Through Pages 74-75 and work through the 3 examples (take notes of important ideas)
Complete the even numbered problems from the exercies A, B, C on Page 75.(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 6 "Solving Equations - More than one Step" (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?
Can you solve equations requiring more than one step?
Are you able to use both opposites and reciprocals, as necessary, to solve an equation?
Lesson 7 "Equations Without Numbers"
Scan Page 76; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 76-77 and work through the 4 examples (take notes of important ideas)
Select 8 problems from Exercise A and solve them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 7 "Equations Without Numbers" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 7 Key Points
Literal equation - an equation that has only letters.
Constant - specific real number.
Are you able to use strategies of reciprocals and opposites to solve equations involving letters only?
Lesson 8 "Formulas"
Read through Pages 78-79 and work through the 4 examples.
Select 10 problems from Exercise A (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 8 "Formulas" (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 solve standard formulas for given variables?
Lesson 9 "The Pythagorean Theorem"
Scan Page 80; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 80-81 and work through the 2 examples (take notes of important ideas)
Write the Pythagorean Theorem from the top of page 80 on your notecard/bookmark.
Complete the even numbered problems from Pages 81-83 from Exercise A, B, C.(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 9 "The Pythagorean Theorem" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 9 Key Points
Pythagorean theorem - A formula that states that in a right triangle, the length of the hypotenuse squared is equal to the length of side b squared plus the length of side a squared.
Right triangle - A three-sided figure, or triangle with one right, or 90 degree angle.
Hypotenuse - the longest side in a right triangle.
Can you use the Pythagorean theorem to solve for the value of the third side of a right triangle?
Lesson 10 "Inequalities on the Number Line"
Scan Pages 84-85; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 84-86 and work through the 5 examples (take notes of important ideas)
Complete the even numbered problems from the exercises on pages 86-87(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 10 "Inequalities on the Number Line" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 10 Key Points
graphing - showing on a number line the relationship of a set of numbers.
Equality - the state of being equal; shown by the equal sign.
Inequality - the state of being unequal; shown by the les than, greater than, and unequal to signs.
Disjunction - a compound statement that uses the word or to connect two simple stements.
Truth table - A table of true and false values.
Are you able to write stements of equality or inequality based on information on a number line?
Can you graph staements of equality or inequality on a number line?
Lesson 11 "Solving Inequalities with One Variable"
Scan Page 88-89; focus on the purple boxes on those pages that are titled "Rule" Write the rule down on your important note cards that you should be using for a bookmark.
Read Through Pages 88-89 and work through the 3 examples (take notes of important ideas)
Work through the even numbered problems on page 89 exercises. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 11, "Solving Inequalities with One Variable" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 11 Key Points
Are you able to solve inequalities with one variable?
Can you use strategies including opposites and reciprocals to solve inequalities with one variable?
Application of Algebra from Chapter 3
Look at the picture on the bottom of page 90 What do you think it has to dow with using equations? (for your thinking process. do not have to answer for grading).
Read from the top of page 90 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 3, "Using Equations" (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 known data to develop and solve equations to find unkown data?
Preparing for Chapter 3 Test
Turn to Pages 91-93 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 59-61.
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 3 Test "Linear Equations with One Variable"
Review the answers then print the results for your records.
Congratulations you finished chapter 3!!