AIDE Algebra 1 Assignment Guide and Key Points
Chapter 1 "Algebra: Arithmetic with Letters"
Lesson 1 "Arithmetic with Letters"
Turn to Pages 1 Look at the picture on the facing page and predict how it relates to Algebra.
On Page 1 Read the short introduction to Chapter 1
On Page 1 Read the goals you will achieve this chapter.
Scan Pages 2-3; focus on the purple colored boxes, which contain the key vocabulary terms.
Scan Pages 2-3 for square boxes in the margins outlined in green. Read the info there.
Read Through Pages 2-3 and work through the examples (take notes of important ideas)
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)
(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 "Arithmetic with Letters" (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
Arithmetic - the study of the properties of an relations of numbers, using four basic operations - addition, subtraction, multiplication, and division.
Statement - A sentence that is true or false.
Algebra - the branch of mathemetics that uses both letters and numbers to show relations between quantities.
Open Statement - A sentence that is neither true nor false
Section Review Answers
Did you learn these Objectives?
Can you identify arithmetic statements as true, false, or open?
Lesson 2 "Representing Numbers Using Letters"
Scan Pages 4-5; focus on the purple colored boxes, which contain the key vocabulary terms.
Read Through Page 4 and work through the example (take notes of important ideas)
Select 15 problems from Exercise A, B, C, D, E; 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.)
Take the quiz on Lesson 2 "Representing Numbers Using Letters" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 2 Key Points
Numerical expressinon - A mathematical sentence that includes operations and numbers.
Operation - The mathematical processes of addition, subtraction, multiplication, and division.
Algebraic expression - a mathematical sentence that includes at least one operation and a variable.
Variable - A letter or symbol that stands for and unknown number.
Coefficient - the number that multiplies the variable.
Are you able to identify numerical and algebraic expressions and their associated operations.
Lesson 3 "Integers on the Number Line"
Scan Pages 6-7; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Pages 6-7 and work through the 2 examples (take notes of important ideas)
Take the quiz on Lesson 3 "Integers on the Number Line" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 3 Key Points
real number - a number on the number line
Integer - a whole number or its opposite (...,-2, -1, 0, 1, 2, ...)
Negative integer - A whole number less than zero.
Positive integer - A whole number greater than zero.
Opposites - numbers the same distance from zero but on different sides of zero on the number line.
Absolute value - The distance a number on thenumber line is from zero.
Did you learn this Objective?
Are you able to recognize positive and negative integers and their opposites?
Lesson 4 "Adding Integers"
Scan Page 8; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Page 8 for square boxes in the margins outlined in green. Read the info there.
Read Through Page 8 and work through the 4 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)
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
Addition - the arithmetic operation of combining numbers to find their sum or total.
Addend - a number that is added to one or more numbers.
Sum - the answer to an addition problem.
Can you find the sums of positive and negative integers?
Lesson 5 "Subtracting Integers"
Scan Pages 10-11; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Pages 10-11 for square boxes in the margins outlined in green. Read the info there.
Read Through Pages 10-11 and work through the 4 examples (take notes of important ideas)
Take the quiz on Lesson 5 "Subtracting Integers" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 5 Key Points
Subtraction - The arithmetic operation of taking one number away from another to find the difference.
Difference - the answer to a subtraction problem.
Can you find the differences of positive and negative integers?
Lesson 6 "Multiplying Integers"
Scan Pages 12-13; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Pages 12-13 for square boxes in the margins outlined in green. Read the info there.
Read Through Pages 12-13 and work through the 4 examples (take notes of important ideas)
Take the quiz on Lesson 6 "Multiplying Integers" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 6 Key Points
Multiplication - The operation of adding a number to itself many times.
Factor - a number that is multiplied in a multiplication problem.
Product - the answer to a multiplication problem
Did you learn this Objectives?
Are you able to find the product of a positive interger times a positive integer?
Can you determine that the product of a negative interger times a negative interger is positive?
Are you able to identify the product of a negative integer times a positive integer as nagative?
Lesson 7 "Dividing Positive and Negative Integers"
Scan Page 14; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Scan Page 14 for square boxes in the margins outlined in green. Read the info there.
Read Through Page 14 and work through the 5 examples (take notes of important ideas)
Take the quiz on Lesson 7 "Multiplying Integers" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 7 Key Points
Division - The arithmetic operation that finds how many times a number is contained in another number.
Quotient - The answer to a division problem.
Divident - a number that is divided.
Divisor - The number by which you are dividing.
Are you able to determine that the quotient of a positive integer times a positive integer is positive?
Can you identify the quotient of a negative integer times a negative integer as positive?
Are you able to describe the quotient of a negative integer times a positive integer as negative?
Lesson 8 "Simplifying Expressions - One Variable"
Scan Page 16; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Page 16 and work through the 5 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)
Take the quiz on Lesson 8 "Simplifying Expressions - One Variable" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 8 Key Points
Term - Part of an expression separated by an addition or subtraction signs.
Like terms - Terms that have the same variable.
Simplify - combine like terms.
Are you able to simplify expressions with one variable by combining like terms.
Lesson 9 "Simplifying Expressions-Several Variables"
Scan Page 18; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Page 18 and work through the 2 examples (take notes of important ideas)
Take the quiz on Lesson 9 "Simplifying Expressions - Several Variables" (You may use the book, notes and Key Points for help on the quizzes. NOT ON TESTS!)
Lesson 9 Key Points
Unlike Terms - Terms that have different variables.
Can you simplify expressions containing several variables by combining like terms?
Lesson 10 "Positive Exponents"
Scan Page 20; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Page 20 and work through the 3 examples (take notes of important ideas)
Take the quiz on Lesson 10 "Positive Exponents" (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 identify a number's exponent and base?
Can you simplify terms containing exponents?
Lesson 11 "Formulas with Variables"
Scan Page 22; focus on and read the purple colored boxes, which contain the key vocabulary terms.
Read Through Page 22 and work through the 1 example (take notes of important ideas)
Select 12 problems from Exercise A, B, C, D, E, F; 2 from each section? (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
Primeter - the distance around the outside of a shape.
Equilateral triangle - a triangle with three eual sides.
Are you able to find the perimeters of regular polygons using formulas for perimeter?
Application of Algebra from Chapter 1
Look at the picture on the bottom of page 26 and read the caption.
Read from the top of page 26 and complete Examples 1, 2, 3.
Figure out what goes in the blanks in the table instead of the variables? (This is for practice you will be graded only on the quiz and tests)
Take the quiz on Applying Chapter 1, "Airline Speed" (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 complete computations involving the formula g = a - h, where g is ground speed, a is air speed, and h is head wind speed.
Preparing for Chapter 1 Test
Turn to Pages 27-29 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 1 Test "Algebra; Arithmetic with Letters"
Review the answers then print the results for your records.
Congratulations you finished chapter 1!!