AIDE Algebra 1 Assignment Guide and Key Points
Chapter 2 "The Rules of Arithmetic"
Lesson 1 "Arithmetic with Letters"
Turn to Pages 31 Look at the picture on the facing page and predict how it relates to Algebra.
On Page 31 Read the short introduction to Chapter 2
On Page 31 Read the goals you will achieve this chapter.
Scan Page 32; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Page 32; focus on the green outlined box, See how the word commute relates to Algebra.
Create an "important notes card" by writing the Commutative property of Addition from Page 33 on a note card then save it for other properties.
Read Through Page 32 and work through the 4 examples (take notes of important ideas)
Complete 9 problems from Exercise A, B, C; 3 from each section? (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 "Commutative Property of Addition" (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
Expanded notation - an algebraic expression written to show its smallest terms.
Commutative property of addition - the order in which two numbers are added does not change their sum.
Section Review Answers
Did you learn these Objectives?
Can you recognize that the order of addition does not change the sum.
Are you able to use of the commutative property of addition to rearrange terms in a sum.
Lesson 2 "Commutative Property of Multiplication"
Scan Page 34; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Page 34; Read the green outlined box in the margin.
Read Through Page 34 and work through the three examples (take notes of important ideas)
Select 12 problems from Exercise A, B, C, D; 3 from each section? (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 Commutative Property of Multiplication on your important note card. (Use the note card as a bookmark)
Take the quiz on Lesson 2 "Commutative Property of Multiplication" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 2 Key Points
Geometry - the study of points, lines, angles, surfaces, and solids.
Commutative property of Multiplication - the order in which two numbers are multiplied does not change their product.
Are you able to recognize that the order in which two terms are multiplied does not affect the product of the term?
Can you use the commutative property of multiplication to rearrange terms in a product?
Lesson 3 "Associative Property of Addition"
Scan Page 36; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Page 36 and work through the 2 examples (take notes of important ideas)
Write the Associative Property of Addition from the bottom of page 36 on your important note card, (Use as a bookmark)
Select 9 problems from Exercise A, B, C; 3 from each section? (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 3 "Associative Property of Addition" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 3 Key Points
Associative Property of Addition - The same terms added in different groupings result in the same answer.
Did you learn this Objective?
Are you able to demonstrate that the sum of several numbers is not affected by the order in which the numbers are added?
Can you use the associative property of addition to rearrange the terms in an addition expression?
Lesson 4 "Associative Property of Multiplication"
Scan Page 38; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Page 38 for square boxes in the margins outlined in green. Read the info there.
Read Through Pages 28-39 and work through the 2 examples (take notes of important ideas)
Copy the Associative Property of Multiplication from Page 39 to the your note card you are using as a bookmark.
Take the quiz on Lesson 4 "Integers on the Number Line" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 4 Key Points
Associative property of multiplication - The same terms multiplied in different groupings result in the same answer.
Can you demonstrate that the product of several numbers is not affected by the order in which the numbers are multiplied.
Can you use the associative property of addition to rearrange the terms in a multiplication expression.
Are you able to find the volumes of several rectangular solids?
Lesson 5 "The Distributive Property-Multiplication"
Scan Page 42; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Page 10 and work through the 3 examples (take notes of important ideas)
Write the distributive Property of Multiplication on your note card, (bookmark)
Take the quiz on Lesson 5 "The Distributive Property-Multiplication" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
Distributive property - Numbers within parentheses can be multiplied by the same factor.
Can you identify the product of a(b+c) as equal to the product ab + ac?
Are you able to use the distributive property of multiplication to find the area of rectangular shapes?
Lesson 6 "The Distributive Property - Factoring"
Scan Page 44; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Page 44 for square boxes in the margins outlined in green. Read the info there.
Read Through Page 44 and work through the 3 examples (take notes of important ideas)
Select 9 problems from Exercise A, B, C; 3 from A, 5 from B and 1 from C.(This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 6 "The Distributive Property - Factoring" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 6 Key Points
Common Factor - a muliplier shared by the terms in an expression.
Factoring - Using the distributive property to separate the common factor from the terms in the expression.
Did you learn this Objectives?
Can you identify common factors using the distributive property of multiplication?
Are you able to factor expressions using the distributive property of multiplication?
Lesson 7 "Properties of Zero"
Scan Pages 46-47; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Pages 46-47 for square boxes in the margins outlined in green or blue. Read the info there.
Read Through Pages 46-47 and work through the 5 examples (take notes of important ideas)
Write the Addition property of zero, the additive Inverse Property, and the Multiplication property of zero on your note card / bookmark.
Select 8 problems from Exercise A, B, C, D; 2 from each section? (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 7 "Properties of Zero" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 7 Key Points
Addition Property of Zero - A number does not change if 0 is added or subtracted.
Additive inverses - Numbers that equal 0 when added together; also called opposites.
Multiplication property of zero - Zero times any number is zero.
Are you able to indicate that the sum of opposite numbers is zero?
Can you recognize that adding zero to a number does not change the number?
Are you able to determine that zero times any number is zero?
Lesson 8 "Properties of 1"
Scan Pages 48-49; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 48-49 and work through the 4 examples (take notes of important ideas)
Write the Multiplication Property of and the Multiplicative Inverse (reciprocals) on your note card/bookmark.
Select 8 problems from Exercise A, B, C; 3 from A and B section and 2 from the C section? (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 8 "Properties of 1" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 8 Key Points
Multiplication property of 1 - a number or term does not change when multiplied by 1.
Multiplicative inverses - any two numbers or terms whose product equals 1.
Reciprocals - Multiplicative inverses.
Are you able to recognize that a number or term does not change if multiplied by 1?
Can you identify as multiplicative inverses, or reciprocals, any tow numbers whose product equals 1.
Lesson 9 "Powers and Roots"
Scan Pages 50-52; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 50-52 and work through the 5 examples (take notes of important ideas)
Write the Rule on page 51 on your note card/bookmark.
Select 6 problems from Exercise A, B, C; 2 from each section? (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 9 "Powers and Roots" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 9 Key Points
root- an equal factor of a number.
Can you identify the root of a number as an equal factor of the number?
Are you able to find the square root of a number using a calculator?
Lesson 10 "More on Powers and Roots"
Scan Page 54; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Page 54 and work through the 4 examples (take notes of important ideas)
Take the quiz on Lesson 10 "More on Powers and Roots" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 10 Key Points
Exponent - number that tells the times another number is a factor
Base - the number being multiplied; a factor
Power - The product of multiplying any number by itself once or many times.
Are you able to simplify expressions containing roots and powers using the associative property of multiplication?
Lesson 11 "Order of Operations"
Scan Page 56; focus on the purple box in the center of the page.
Write the order of operations on your note card/bookmark.
Read Through Page 56 and work through the 3 examples (take notes of important ideas)
Work through the problems numbered as multiples of 3 (3, 6, 9, ...)? (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Lesson 11, "Formulas with Variables" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 11 Key Points
Perimeter - the distance around the outside of a shape.
Equilateral triangle - a triangle with three equal sides.
Are you able to evaluate complex expressions following the order of operations?
Can you use the order of operations to simplify complex expressions?
Application of Algebra from Chapter 2
Look at the picture on the bottom of page 58 What does earthquakes have to do with square roots? (for your thinking process. do not have to answer for grading).
Read from the top of page 58 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 2, "Using Square Roots" (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 square roots to find the dimensions of a given area?
Preparing for Chapter 2 Test
Turn to Pages 59-61 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 2 Test "The Rules of Arithmetic"
Review the answers then print the results for your records.
Congratulations you finished chapter 2!!