AIDE Algebra 1 Assignment Guide and Key Points
Chapter 11 "Irrational Numbers and Radical Expressions"
Lesson 1 "Rational Numbers as Decimals"
Turn to Pages 327 Look at the picture on the facing page and predict how it relates to Algebra.
On Page 327 Read the short introduction to Chapter 11
On Page 327 Read the goals you will achieve this chapter.
Scan Pages 328-329; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Page 328; focus on the green outlined box, See how the word commute relates to Algebra.
Read Through Page 328-330 and work through the 4 examples (take notes of important ideas)
Complete the even numbered problems from exercises A, B and C on pages 330-331(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 "Rational Numbers as Decimals" (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
Irrational number - a real number, such as √2, that cannot be written in the form a/b in which a and b are whole numbers and b ∫ 0.
Decimal expansion - Writng a number, such as a fraction, as a decimal.
Terminating decimal expansion - A decimal sequence that ends in all 0s.
Repeating decimal expansion - A decimal sequence in which the numbers repeat in exactly the same order.
Section Review Answers
Did you learn these Objectives?
Can you write the decimal expansion of rational numbers?
Lesson 2 "Rational Number Equivalents"
Read Through Pages 332-333 and work through the three examples (take notes of important ideas)
Complete the even numbered problems from exercises A and B on page 333 (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 "Rational Number Equivalents" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 2 Key Points
none
Are you able to determine the rational number that represents a repeating or terminating decimal expansion?
Lesson 3 "Irrational Numbers as Decimals"
Scan Page 334; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Page 334 for square boxes in the margins outlined in green. Read the info there.
Read Through Pages 334-335 and work through the 2 examples (take notes of important ideas)
Complete the even numbered problems from exercises A and B on page 335 (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 3 "Irrational Numbers as Decimals" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 3 Key Points
Radical - A number that is written with the radical sign.
Radical sign - The mathematical symbol (√ ) placed before a number or algebraic expression to indicate that the root should be found.
Did you learn this Objective?
Are you able to use a calculator to find the roots of radicals and identify the roots as rational or irrational?
Lesson 4 "Product of Quotients of Radicals"
Scan Page 336; focus on and read the purple colored boxes, these contain important rules that you should memorize and/or write down on your important note cards.
Read Through Pages 336-337 and work through the 3 examples (take notes of important ideas)
Complete the even numbered problems from exercises A and B on page 337(This is for practice you will be graded only on the quiz and tests)
Do you know the Rules that were introduced in Lesson 4?
Take the quiz on Lesson 4 "Product of Quotients of Radicals" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 4 Key Points
None
Can you simplify radicals using multiplication or division?
Lesson 5 "Sums and Differences of Radicals"
Scan Page 338; focus on and read the purple colored boxes, which contain an important rule for the lesson
Read Through Page 338-339 and work through the 3 examples (take notes of important ideas)
Memorize or write the rule on Page 338 on your notecards.
Read the information in the box shaped like a notebook on Page 339.
Complete the even numbered problems from exercises A and B on page 339 (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 5 "Sums and Differences of Radicals" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
None.
Can you find the sum or difference of two radicals?
Lesson 6 "Radicals and Fractions"
Scan Page 340; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Page 341 for square boxes in the margins outlined in green. Read the info there.
Scan Page 341 for the rule for this lesson. Memorize it and/or write it down on your important note cards.
Read Through Pages 340-341 and work through the 3 examples (take notes of important ideas)
Complete the even numbered problems from exercises A and B on page 341(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 6 "Radicals and Fractions" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 6 Key Points
Retionalizing the denominator - Changing a fraction with an irrational number to an equivalent fraction wiith a rational number.
Conjugate - a factor that when multiplied rationalizes (or simplifies) an expression.
Did you learn this Objectives?
Can you simplify fractional radicals by rationalizing their denominators?
Lesson 7 "Radicals in Equations"
Read Through Pages 342-343 and work through the 4 examples (take notes of important ideas)
Complete the even numbered problems from exercises A, B and C on pages 344-345 (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 7 "Radicals in Equations" (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 determine the value of a variable in an equation that contains a radical?
Lesson 8 "Radicals and Exponents"
Scan Pages 346; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 346-347 and work through the 2 examples (take notes of important ideas)
Write the information from the two blue boxes on Page 346 on your notecard/bookmark.
Complete the even numbered problems from exercises A, B and C on page 347 (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 8 "Radicals and Exponents" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 8 Key Points
Radicand - A number under the radical sign (√n)
Are you able to rewrite and simplify expressions that contain radicals?
Lesson 9 "Drawing and Using a Square Root Graph"
Read Through Pages 348-349 and work through the 2 examples (take notes of important ideas).
Complete the even numbered problems from exercises A on page 349 (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 9 "Drawing and Using a Square Root Graph" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 9 Key Points
Can you draw and use square root graphs?
Application of Algebra from Chapter 11
Look at the picture on the bottom of page 350 What does the leaves have to do with falling objects and Radicals? (for your thinking process. do not have to answer for grading).
Read from the top of page 350 and study the example.
Read the directions to the Exercise and complete 3 of the problems. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Applying Chapter 11, "Application of Algebra from Chapter 11" (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 a formula to find the velocity of a moving object?
Preparing for Chapter 11 Test
Turn to Pages 351-353 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 351-353.
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 11 Test "Irrational Numbers and Radical Expressions."
Review the answers then print the results for your records.
Congratulations you finished Chapter 11!!