AIDE Pre-Algebra Assignment Guide and Key Points
Chapter 5 "Basic Operations and Rational Expressions"
Lesson 1 "The Order of Operations"
Turn to Pages 121 Look at the picture on the facing page and predict how it relates to Pre-algebra.
On Page 121 Read the short introduction to Chapter 5
On Page 121 Read the goals you will achieve this chapter.
Scan Pages 122-123; focus on the purple colored boxes, which contain the key vocabulary terms.
Write the information from the "Order of Operations" blue box on the bottom of page 122 in you notes and try to memorize it.
Read Through Pages 122-124 and work through the 5 examples (take notes of important ideas)
Select 6 problems from Exercise A, and 2 from B 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 "The Order of Operations" (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
Order of operations - Rules that describe the order that addition, subtraction, multiplication, and division must be performed.
Section Review Answers
Did you learn these Objectives?
Do you understand the order in which addition, subtraction, multiplication, and division must be performed in an expression?
Are you able to simplify expressions using the order of operations?
Lesson 2 "Evaluating Algebraic Expression"
Scan Page 126; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Pages 126 read the box outlined in green.
Read Through Pages 126-128 and work through the 3 examples (take notes of important ideas)
Select 3 problems from Exercise A, 3 from B, and 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 2 "Evaluating Algebraic Expressions" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 2 Key Points
Constant - A number in an expression that does not change such as 2, -6, and 1/3 in an expression such as 2x - 6y + 1/3z.
Are you able to substitute given values for variables in algebraic expressions?
Can you follow the order of operations to simplify expressions?
Lesson 3 "Equations–Solution by Substitution"
Scan Page 130; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Page 130 and work through the example (take notes of important ideas)
Read the box outlined in green on Page 131.
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 3 "Equations–Solution by Substitution" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 3 Key Points
equation - a mathematical sentence stating that two quantities are equal and written as two expressions separated by an equal sign.
Root of the equation - the number substituted for a variable that makes the equation a true statement.
Did you learn this Objective?
Are you able to comprehend when a solution, or root of an equation, has been found?
Can you solve equations by substitution?
Lesson 4 "Solving Addition Equations"
Scan Page 132; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Page 132 for square boxes in the margins outlined in green. Read the info there.
Read Through Pages 132-133 and work through the 2 examples (take notes of important ideas)
Select 2 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 4 "Solving Addition Equations" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 4 Key Points
Inverse operation - an operation that undoes another operation.
Can you get variables alone in an equation by applying inverse operations to both sides of an equation?
Are you able to solve addition equations, reduce answers to lowest form, and check by adding?
Lesson 5 "Solving Subtraction Equations"
Read Through Pages 134 and work through the example (take notes of important ideas)
Scan Page 134 for square boxes in the margins outlined in green. Read the info there.
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 5 "Solving Subtraction Equations" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
none
Can you add a quantity to both sides of a subtraction equation to isolate the variable?
Are you able to solve addition and subtraction problems using subtraction and addition?
Lesson 6 "Complex Fractions"
Scan Page 136; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 136-139 and work through the 4 examples (take notes of important ideas)
Select 5 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 "Complex Fractions" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 6 Key Points
Complex fraction - A frac tion in which the numerator, the denominator, or both the numerator and the denominator are fractions.
Did you learn this Objectives?
Are you able to simplify complex fractions by multiplying the dividend by the reciprocal of the divisor.
Lesson 7 "Simplifying by Addition"
Scan Page 140; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Page 140 for square boxes in the margins outlined in green. Read the info there.
Read Through Page 140 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 7 "Simplifying by Addition" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 7 Key Points
Rational expression - an algebraic expression that can be written like a fraction.
Are you able to simplify rational expressions?
Can you convert fractions to equivalent fractions with like denominators?
Lesson 8 "Simplifying by Subtraction"
Read Through Page 142 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)
Take the quiz on Lesson 8 "Simplifying by Subtraction" (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 simplify fractions with like denominators by subtraction?
Can you convert fractions with unlike denominators to equivalent fractions?
Lesson 9 "Multiplying Rational Expressions"
Read the little green box in the margin on page 144.
Read Through Page 144 and work through the 2 examples (take notes of important ideas)
Take the quiz on Lesson 9 "Multiplying Rational Expressions" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 9 Key Points
None
Can you multiply fractions by multiplying numerators and denominators?
Application of Pre-Algebra from Chapter 5
Look at the picture on the bottom of page 146 and guess how it relates to Pre-Algebra.
Read from the top of page 26 and complete Example 1.
Complete 3 problems from exercises on the bottom of page 146. (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 5 , "Converting Measurements" (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 convert inches into feet, cups into quarts, kilometers into meters, and quarts into gallons?
Preparing for Chapter 5 Test
Turn to Pages 147-149 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 147-149.
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 5 Test "Basic Operations and Rational Expressions"
Review the answers then print the results for your records.
Congratulations, if you completed all the items above, you finished Chapter 5 !!