AIDE Algebra 1 Assignment Guide and Key Points
Chapter 8 "Fractions and Algebra"
Lesson 1 "Fractions as Rational Numbers"
Turn to Pages 219 Look at the picture on the facing page and predict how it relates to Algebra.
On Page 219 Read the short introduction to Chapter 8
On Page 219 Read the goals you will achieve this chapter.
Scan Page 220; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Page 220; focus on the green outlined box, See how the word commute relates to Algebra.
Read Through Page 220-221 and work through the 2 examples (take notes of important ideas)
Complete the even numbered problems from Page 221 Exercises A and B.(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 "Fractions as Rational Numbers" (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
Rational number - Any number that is expressed as an integer or as a ratio between two integers when 0 does not serve as the denominator.
Simplest form - A fraction in which the only common factor of the numberator and denominatorr is 1.
Section Review Answers
Did you learn these Objectives?
Can you find the greatest common factor?
Are you able to write fractions in simplest form using greatest common factors?
Lesson 2 "Algebraic Fractions-Rational Expressions"
Scan Page 222; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Page 223; Read the spiril notebook box in the margin near the bottom.
Read Through Pages 222-223 and work through the four examples (take notes of important ideas)
Complete the even numbered problems from Page 223, Exercises A and B.(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 "Algebraic Fractions-Rational Expressions" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 2 Key Points
Algebraic fraction - a single algebraic term divided by a single algebraic term. Rational expression - an algebraic expression divided by another algebraic expression.
Are you able to write algebraic fractions in simplest form?
Lesson 3 "Multiplying and Dividing Algebraic Fractions"
Scan Page 224; focus on and read the green outlined box for a little trick.
Read Through Pages 224-225 and work through the 2 examples (take notes of important ideas)
Complete the even numbered problems from Page 225, exercises A and B.(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 3 "Multiplying and Dividing Algebraic Fractions" (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 find the product and quotient of algebraic fractions?
Lesson 4 "Complex Fractions and the LCM"
Scan Page 226-227; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 226-228 and work through the 4 examples (take notes of important ideas)
Complete the even numbered problems from Pages 228-229 Exercises A, B, and C(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 4 "Complex Fractions and the LCM" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 4 Key Points
Complex fraction - A fraction in which the numberator, the denominator, or both the numberator and the denominator are fractions.
Least Common Multiple LCM - the smallest nmber that two or more numbers can divide into without having a remainder.
Can you find the least common multiple for a pair of numbers?
Are you able to simplify complex fractions?
Lesson 5 "Least Common Multiples and Prime Factors"
Scan Page 231 and read the little box shaped like a notebook. This will help you access what you know.
Read Through Pages 230-231 and work through the 2 examples (take notes of important ideas)
Complete the even numbered problems from Page 231(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 5 "Least Common Multiples and Prime Factors" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
none
Can you use prime factorization to find the least common multiple?
Are you able to use factorization to simplify complex fractions?
Lesson 6 "Sums and Differences"
Scan Page 232 and read the box outlined in green. Just a little reminder.
Read Through Pages 232-233 and and work through the 2 examples (take notes of important ideas)
Complete the even numbered problems from page 233 Exercise A.(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 6 "Sums and Differences" (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 use the LCM to add or subtract fractions?
Are you able to write fractions in simplest form?
Lesson 7 "Proportions and Fractions in Equations"
Read Through Pages 234-235 and work through the 3 examples (take notes of important ideas)
Complete the even numbered problems from Exercises A and B on Pages 236-237(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 7 "Properties of Zero" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 7 Key Points
Are you able to solve proportions using fractions?
Lesson 8 "More Solutions to Equations with Fractions"
Read Through Pages 238-240 and work through the 3 examples (take notes of important ideas)
Complete the even numbered problems from Page 239-241(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 8 "More Solutions to Equations with Fractions" (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 equations using multiplication and divison?
Lesson 9 "Denominators and Zero"
Scan Page 242; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 242-243 and work through the 2 examples (take notes of important ideas)
Write the Rule on page 242 on your notecards/bookmark.
Complete the even numbered problems from exercise A on page 243(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 9 "Denominators and Zero" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 9 Key Points
Undefined - a term used without a specific mathematical definition.
Can you determine the values for which an expression is undefined?
Application of Algebra from Chapter 8
Look at the picture on the bottom of page 244 What do you think it has to do with working with fractions? (for your thinking process. do not have to answer for grading).
Read from the top of page 244 and study the example.
Read the directions to the Exercise and complete 2 of the problems. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Applying Chapter 8, "Working Fractions" (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 rational numbers and fractional equivalents to solve work problems?
Preparing for Chapter 8 Test
Turn to Pages 245-247 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 245-247.
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 8 Test "The Rules of Arithmetic"
Review the answers then print the results for your records.
Congratulations you finished Chapter 8!!