YKSD-AGS HSGQE Assignment Guide and Key Points
Chapter 6 "Basic Operations and Rational Expressions"
Lesson 1 "The Order of Operations"
Turn to Page 137 Look at the picture on the facing page and predict how it relates to basic operations and rational expressions.
On Page 137 Read the short introduction to Chapter 6
On Page 137 Read the goals you will achieve this Chapter 6.
Look through Pages 138-141 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Find a place to keep notes on Chapter 6. Jot down the meanings to the words.
Read through pages 138-141.
Do you understand how each example works? (contact Melinda Lewis with questions mlewis@yksd.com)
Complete the even numbered problems from exercises A and B on pages 140-141 (This is for practice you will be graded only on the quiz and tests)
(Compare your answers with these. If you missed more than 1 then 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 comprehend the sequence in which addition, subtraction, multiplication, and division must be performed in an expression.
Can you simplify expressions using the order of operations?
Lesson 2 "Evaluating Algebraic Expressions"
Look through Pages 142-145 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Jot down the meanings to the words in your notes for studying before the test.
Read through pages 142-145.
Complete the even numbered problems from exercises A, B, and C on pages 144-145 (This is for practice you will be graded only on the quiz and tests)
(Compare your answers with these. If you missed more than 1 then do three more from that section until you get them all right.)
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 any 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"
Look through Pages 146-147 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 146-147.
Complete the even numbered problems from exercises A and B on page 147 (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 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"
Look through Pages 148-149 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Write down the meanings to the words in your notes for studying before the test.
Read through pages 148-149.
Complete the even numbered problems from exercises A and B from page 149. (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
None
Can you isolate variables 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"
Look through Pages 150-151 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 150-151.
Complete the even numbered problems from exercises A and B on page 151. (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
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"
Look through Pages 152-154 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 152-154.
Complete the even numbered problems from exercises A and B on pages 154-155. (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 fraction in which the numerator, the denominator, or both the numerator and the denominator are fractions.
Did you learn this Objectives?
Can you simplify complex fractions by multiplying the dividend by the reciprocal of the divisor?
Lesson 7 "Simplifying by Addition"
Look through Pages 156-157 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Copy down the meanings to the words in your notes for studying before the test.
Read through pages 156-157.
Complete the even numbered problems from exercises A and B on page 157. (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"
Look through Pages 158-159 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 158-159.
Complete the even numbered problems from exercises A, B and C on page 159 (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"
Look through Pages 160-161 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 160-161.
Complete the even numbered problems from exercises A and B on page 161. (This is for practice you will be graded only on the quiz and tests)
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
Can you multiply fractions by multiplying numerators and denominators?
Application of Math from Chapter 6
Read from the top of page 162 and study the example.
Read the directions to the exercises and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Applying Chapter 6, "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 identify equivalent measurements?
Preparing for Chapter 6Test
Turn to Pages 163-165 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 163-165.
Check your answers with those in the Chapter 6 Review answers.
If you missed more than 4 problems this time contact your instructor for extra help: mlewis@yksd.com.
Take the Chapter 6 Test "Basic Operations and Rational Expressions"
Review the answers then print the results for your records.
Congratulations you finished Chapter 6!!