AIDE Pre-Algebra Assignment Guide and Key Points
Chapter 3 "Number Theory"
Lesson 1 "Divisibility"
Turn to Page 59 Look at the picture on the facing page and predict how it relates to Pre-algebra.
On Page 59 Read the short introduction to Chapter 3
On Page 59 Read the goals you will achieve this chapter.
Read each of the Divisibility Rules on Pages 60-63 and write them on a note card so you can easily refer to them.
Read Through Pages 60-63 and work through the examples (take notes of important ideas)
Select 4 problems from Exercise A, 3 problems from Exercise B and 1 from Exercise C and 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 "Divisibility Rules" (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
divisible - able to be divided by a whole number with no remainder.
Section Review Answers
Did you learn these Objectives?
Can you determine the divisibility of a number based on rules?
Lesson 2 "Prime and Composite Numbers"
Scan Page 64; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Pages 64-65 read the boxes in the margins.
Read Through Pages 64-65 and work through the 4 examples (take notes of important ideas)
Complete 1 problem from Exercise A, 4 problems from Exercise B, and 1 problem from Exercise C.(This is for practice you will be graded only on the quiz and tests)
(Compare your answers with these. If you missed any more from that section until you get them all right.)
Take the quiz on Lesson 2 "Prime and Composite Numbers" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 2 Key Points
Prime number - A whole number greater than one that has only 1 and itself as factors.
Composite number - A whole number that is not a prime number.
Are you able to distinguish prime and composite numbers.
Lesson 3 "Greatest Common Divisor"
Scan Pages 66-67; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Page 66 for square boxes in the margins outlined in green. Read the info there.
Read Through Pages 66-67 and work through the 3 examples (take notes of important ideas)
Select 10 problems from Exercise A and 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 all right.)
Take the quiz on Lesson 3 "Greatest Common Divisor" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 3 Key Points
Simplest form - a fraction in which the only common factor of the numerator and denominator is 1.
Greatest common divisor (GCD) - The largest factor that two or more numbers or terms have in common.
Common factor - A number that will divide each of two or more numbers with no remainder.
Greatest common factor (GCF) - The largest factor of two or more numbers or terms.
Did you learn this Objective?
Are you able to determine the greatest common divisor of a given number?
Lesson 4 "Factoring"
Scan Page 68; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Page 70 for square boxes in the margins outlined in green. Read the info there.
Read Through Pages 68-70 and work through the 7 examples (take notes of important ideas)
Select 4 problems from Exercise A and 3 problem from B, 4 problems from exercise C, and 2 problems from Exercise D and 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 more from that section until you get them all right.)
Take the quiz on Lesson 4 "Factoring" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 4 Key Points
Distributive property - Numbers within parentheses that can be multiplied by the same factor.
Can you use the distributive property when multiplying expressions?
Are you able to use the distributive property when factoring?
Lesson 5 "Least Common Multiple"
Scan Page 72; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 72-74 and work through the 4 examples (take notes of important ideas)
Select 5 problems from Exercise A, 2 from exercise B, and 1 from exercise C and complete 2 them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 5 "Least Common Multiple" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
Least common multiple (LCM) The smallest number divisible by all numbers in a group.
Prime factorization - An expression showing a composite number as a product of its prime factors.
Can you Determine the least common multiple of a pair of numbers?
Are you able to use prime factorization as a method of finding the least common multiple?
Lesson 6 "Scientific Notation"
Scan Page 76; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Page 76 for square boxes in the margins outlined in green. Read the info there.
Read Through Page 76 and work through the 3 examples (take notes of important ideas)
Select 9 problems from Exercise A, B, C; 3 from each section and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 6 "Scientific Notation" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 6 Key Points
Scientific notation - A number written as the product of a number between 1 and 10 and a power of 10, Any number in scientific notation = (1≤x<10)(10n)
Did you learn this Objectives?
Are you able to write large and small numb ers in scientific notation?
Can you write the decimal equivalents of numbers in scientific notation?
Application of Algebra from Chapter 3
Look at the picture on the bottom of page 78 What do you think it has to do with Making Conjectures?
Read from the top of page 78 and complete Examples 1, 2, 3.
Complete 5 of the 10 Exercises. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Applying Chapter 3, "Making Conjectures" (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 express even whole numbers greater than two as the sum of two prime numbers?
Preparing for Chapter 3 Test
Turn to Pages 79-81 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 27-29.
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 "Number Theory"
Review the answers then print the results for your records.
Congratulations if you completed each of the items above you finished Chapter 3!!