YKSD-AGS HSGQE Assignment Guide and Key Points
Chapter 9 "Exponents, radicals, and the Pythagorean Theorem"
Lesson 1 "Exponents"
Turn to Page 231 Look at the picture on the facing page and predict how it relates to Number Systems.
On Page 231 Read the short introduction to Chapter 9
On Page 231 Read the goals you will achieve this Chapter 9 .
Look through Pages 232-233 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Find a place to keep notes on Chapter 9 . Jot down the meanings to the words.
Read through pages 232-233.
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 233 (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 "Exponents" (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
Power - The product of multiplying any number by itself once or many times
Exponent - Number that tells how many times another number is a factor
Base - The number being multiplied; a factor
Section Review Answers
Did you learn these Objectives?
Can you define and identify exponents and base?
Are you able to express factors in exponential form?
Can you find the values of powers of numbers?
Lesson 2 "Multiplying with Exponents"
Look through Pages 234-235 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 234-235.
Complete the even numbered problems from exercises A and B on page 171 (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 "Multiplying with Exponents" (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 multiply numbers with the same base by adding exponents?
Can you identify the accuracy of such multiplications?
Lesson 3 "Dividing with Exponents"
Look through Pages 236-237 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 236-237.
Copy down the important blue box from page 236 in your notes.
Complete the even numbered problems from exercises A and B on page 237. (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 "Dividing with Exponents" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 3 Key Points
Did you learn this Objective?
Can you divide numbers with the same base by subtracting exponents?
Are you able to identify the accuracy of such division?
Lesson 4 "Squares"
Look through Pages 238-239 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 238-239.
Complete the even numbered problems from exercises A, B, and C on page 239. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 4 "Squares" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 4 Key Points
Area - the number of square units inside a closed region
Square - a four sided shape with sides of equal length and four right angles
Are you able to recognize the relationship of the length and width of a square with the factors of s2?
Can you find the area of a square, given the length of a side?
Lesson 5 "Cubes"
Look through Pages 240-241 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 240-241.
Complete the even numbered problems from exercises A, B, C, and D on pages 240-241. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 5 "Cubes" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
Can you comprehend volume as area times height, or the number of units that completely fill a solid?
Are you able to recognize that the volume of a cube is equal to the length of its side to the third power?
Can you find the volume of a cube, given the length of a side?
Lesson 6 "Square Roots"
Look through Pages 242-245 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 242-245.
Complete the even numbered problems from exercises A and B on page 245. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 6 "Square Roots" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 6 Key Points
root - an equal factor of a number.
Square root - a factor of a power of two.
Did you learn this Objectives?
Are you able to perceive finding the root as the opposite of finding the area of a square - that is, discovering the "length of a side"?
Did you identify a as the square root of a2?
Can you estimate and calculate square roots of whole numbers?
Lesson 7 "Irrational Numbers and Square Roots"
Look through Pages 246-247 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Copy down the meanings to the words in your notes for studying before the test.
Read through pages 246-247.
Complete the even numbered problems from exercises A on page 247. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 7 "Irrational Numbers and Square Roots" (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 differentiate numbers whose roots are irrational from those whose roots are rational?
Can you use a graph to estimate square roots involving decimals?
Lesson 8 "Irrational Numbers as Decimals"
Look through Pages 248-249 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 248-249.
Complete the even numbered problems from exercises A and Bon page 249. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 8 "Irrational Numbers as Decimals" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 8 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.
Are you able to use a calculator to find the roots of radicals and identify the roots as rational or irrational?
Lesson 9 "Radicals in Equations"
Look through Pages 250-253 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 250-253.
Complete the even numbered problems from exercises A, B, and C on pages 252-253. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 9 "Radicals in Equations" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 9 Key Points
Can you determine the value of a variable in an equation that contains a radical?
Lesson 10 "The Pythagorean Theorem"
Look through Pages 254-257 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 254-257.
Complete the even numbered problems from exercises A and B on pages 256-257. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 10 "The Pythagorean Theorem" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 10 Key Points
Triangle - A closed figure with three sides.
Right triangle - A three-sided figure, or triangle, with one right, or 90º, angle.
Angle - A figure made up of two sides or rays with a common endpoint.
Right angle - a 90º angle
Hypotenuse - the longest side in a right triangle.
Pythagorean theorem - a formula that states that in a right triangle, the length of the hypotenuse c squared in equal to the length of side a squared plus the length of side b squared.
Are you able to visualize why the hypotenuse of a right triangle squared equals the sum of the other two sides squared?
Can you use the Pythagorean theorem to find the length of an unknown side of a right triangle?
Lesson 11 "More About Triangles"
Look through Pages 258-259 for the green boxes in the margin. Learn the meanings of the vocabulary words.
Read through pages 258-259.
Work through the even numbered problems in exercises A on page 259 (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 11, "More About Triangles" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 11 Key Points
Scalene triangle - a triangle with no equal sides.
Isosceles triangle - A triangle with two sides of equal length.
Equilateral triangle - a triangle with three equal sides.
Are you able to identify triangles according to the relative lengths of their sides?
Can you identify triangles as right triangle, five only the lengths of their sides?
Application of Math from Chapter 9
Read from the top of page 260 and study the example.
Read the directions to the exercises and complete them. (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Applying Chapter 9 , "Applying the Pythagorean Theorem" (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 map distances and diagram heights in Geographic and architectural contexts?
Can you compute unknown measures of distance using the Pythagorean theorem?
Preparing for Chapter 9 Test
Turn to Pages 261-263 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 9 Review answers.
If you missed more than 4 problems this time contact your instructor for extra help: mlewis@yksd.com.
Take the Chapter 9 Test "Exponents, Radicals, and the Pythagorean Theorem"
Review the answers then print the results for your records.
Congratulations you finished Chapter 9 !!