YKSD-AGS HSGQE Assignment Guide and Key Points
Chapter 4 "Number Theory"
Lesson 1 Divisibility Rules""
Turn to Page 75 Look at the picture on the facing page and predict how it relates to Number Theory.
On Page 75 Read the short introduction to Chapter 4
On Page 75 Read the goals you will achieve this Chapter 4 .
Look through Pages 76-79 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Jot down the meanings to the words.
Read through pages 76-79.
Write down the divisibility rules in your notes.
Do you understand how each example works? (contact Melinda Lewis with questions mlewis@yksd.com)
Complete the even numbered problems from exercises A, B, and C on page 79 (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 "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 from rules?
Lesson 2 "Prime and Composite Numbers"
Look through Pages 80-81 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 80-81.
Complete the even numbered problems from exercises A, B, and C on page 81 (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 "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"
Look through Pages 82-83 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 82-83.
Complete the even numbered problems from exercises A on page 83 (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"
Look through Pages 84-86 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 84-86.
Complete the even numbered problems from exercises A, B, C, and D on pages 86-87(This is for practice you will be graded only on the quiz and tests)
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 expressions?
Lesson 5 "Least Common Multiple"
Look through Pages 88-91 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 88-91.
Complete the even numbered problems from exercises A, B, and C on pages 90-91(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 numbers 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"
Look through Pages 92-93 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 92-93.
Complete the even numbered problems from exercises A, B, and C (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?
Can you write large and small number in scientific notation?
Are you able to write the decimal equivalents of numbers in scientific notation?
Application of Math from Chapter 4
Look at the picture on the bottom of page 94 (Guess what it has to do with finding Perfect Numbers?).
Read from the top of page 94 and study the example.
Read the directions to the Exercise and complete the problems. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Applying Chapter 4 , "Finding Perfect Numbers" (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 an algebraic expression to find perfect numbers?
Can you identify the factors of a whole number?
Preparing for Chapter 4 Test
Turn to Pages 95-97 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 95-97.
Check your answers with those in the Chapter 4 Review answers.
If you missed more than 4 problems this time contact your instructor for extra help: mlewis@yksd.com.
Take the Chapter 4 Test "Number Theory"
Review the answers then print the results for your records.
Congratulations you finished Chapter 4 !!