AIDE Algebra 1 Assignment Guide and Key Points
Chapter 6 "Factoring"
Lesson 1 "Greatest Common Factor"
Turn to Pages 155 Look at the picture on the facing page and predict how it relates to Algebra.
On Page 155 Read the short introduction to Chapter 6
On Page 155 Read the goals you will achieve this chapter.
Scan Page 156-157; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Page 156-157; focus on the green outlined boxes.
Read Through Page 156-158 and work through the 5 examples (take notes of important ideas)
Complete 5 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)
Complete 5 Problems from Exercise B. (This is for practice you will be graded only on the quiz and tests)
Complete 2 Problems from Exercise C. (This is for practice you will be graded only on the quiz and tests)
Read Through The bottom of Page 159, calculator pracitce and work through the example (take notes of important ideas)
Complete 3 Problems from Exercise D. (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 "Greatest Common Factor" (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
Prime number - an integer that can be divided only by itself and 1.
Composite number - an integer that is not a prime number.
Factoring completely - expressing an integer as a product of only prime numbers.
Greatest Common Factor - The largest factor of two or more numbers or terms.
Section Review Answers
Did you learn these Objectives?
Can you identify prime numbers whose product is a composite number?
Are you able to identify the greatest common Factor (GCF) of a term or number?
Lesson 2 "Factoring Polynomials"
Scan Page 161; Read the box shaped like a spiril notebook in the margin.
Read Through Pages 160-161and work through the three examples (take notes of important ideas)
Complete 10 Problems from Exercise A. (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.)
Write the Cummutative Property of Multiplication on your important notecard. (Use the notecard as a bookmark)
Take the quiz on Lesson 2 "Factoring Polynomials" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 2 Key Points
Are you able to find the GCF of two and three algebraic terms in a sum or difference?
Lesson 3 "Factoring Trinomials: x2 + bx + c"
Read Through Page 162-163 and work through the 2 examples (take notes of important ideas)
Complete 4 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)
Complete 2 Problems from Exercise B. (This is for practice you will be graded only on the quiz and tests)
Complete 1 Problem from Exercise C. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 3 "Factoring Trinomials: x2 + bx + c" (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 comprehend a model for deriving trinomials?
Can you learn a four-step process for factoring a trinomial?
Lesson 4 "Factoring Trinomials : ax2 + bx + c"
Read Through Pages 164-165 and work through the 2 examples (take notes of important ideas)
Complete 4 Problems from Exercise B. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 4 "Factoring Trinomials: ax2 + bx + c" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 4 Key Points
Can you factor expressions of the type ax2 + bx + c?
Are you able to use trial and error to find all possible combinations that can give the quantity b in this form of trinomial?
Lesson 5 "Factoring Expressions: a2 - b2 "
Scan Page 166; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read the information in the little box shaped like a spiril notebook on the top of Page 167
Read Through Pages 166-167 and work through the 2 examples (take notes of important ideas)
Write the rule from the bottom of page 166 on your notecards, (bookmarks)
Complete 3 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)
Complete 3 Problems from Exercise B. (This is for practice you will be graded only on the quiz and tests)
Complete 3 Problems from Exercise C. (This is for practice you will be graded only on the quiz and tests)
Complete 1 Problem from Exercise E. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 5 "Factoring Expressions: a2 - b2" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
Perfect square - the square of an integer.
Can you define perfect squares?
Are you able to factor polynomials of the type a2 - b2 , which represent the difference of two perfect squares.
Lesson 6 "Factoring Expressions:: a2 +2ab + b2 "
Scan Page 168; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Write the Rule from the top of page 169 on your notecards.
Read Through Pages 168-169 and work through the 4 examples (take notes of important ideas)
Complete 2 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)
Read the information in the little spiril notebook on the top of page 171.
Complete 4 Problems from Exercise C. (This is for practice you will be graded only on the quiz and tests)
Complete 1 Problem from Exercise D. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 6 "Factoring Expressions: a2 + 2ab + b2" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 6 Key Points
Perfect square trinomial - the result of multiplying a binomial by itself or squaring a binomial.
Did you learn this Objectives?
Can you identify perfect square trinomials?
Are you able to model the binomial factors of a perfect square trinomial geometrically?
Can you factor perfect square trinomials?
Lesson 7 "Zero as a Factor"
Read Through Page 172 and work through the 4 examples (take notes of important ideas)
Complete 7 Problems from Exercise B. (This is for practice you will be graded only on the quiz and tests)
Complete The "Try This" from the bottom of page 173. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 7 "Zero as a Factor" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 7 Key Points
None
Are you able to recognize that a product of 0 results when one or oth factors is 0?
Can you solve equations whose factors = 0?
Lesson 8 "Solving Quadratic Equations - Factoring"
Scan Pages 174-175; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 174-175 and work through the 2 examples (take notes of important ideas)
Write the Rule from page 174 on your important note cards.
Complete 7 Problems from Exercise A. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 8 "Solving Quadratic Equations" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 8 Key Points
Quadratic equation - An equation in the form of ax2 + bx + c = 0
Are you able to identify the form of a quadratic equation?
Can you find solutions for quadratic equations by substituting values equal to zero?
Application of Algebra from Chapter 6
Look at the picture on the bottom of page 178 What does picture frames have to do with factoring? (for your thinking process. do not have to answer for grading).
Read from the top of page 178 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 6, "Frame Factor" (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 apply quadratic equation to compute the dimensions of a rectangle (dimensions unknown) within a second rectangle (dimensions given)?
Preparing for Chapter 6 Test
Turn to Pages 179-181 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 6 Test "Factoring"
Review the answers then print the results for your records.
Congratulations you finished Chapter 6!!