Pre-Algebra Chapter 1: Algebra and Whole Numbers

Pre-Algebra Chapter 1: Algebra and Whole Numbers

Finding NumbersDuring this chapter you will be assigned to a group of 3. Your goal is to list as many quantities as possible (minimum of 10).For example: There are 12 student desks in this classroom. There are 2 sets of windows.There are 2 pencil sharpeners.There are 3 filing cabinets.I have 12 cans of corn at home.I have 223 DVDs.Your teams job is to find large quantities of items in the school and at your own house.

Chapter Project 50 pointsYou will need to establish some way of keeping track of your information to share. Ideas include:Using the computer and typing out a list.Keeping a journal.Creating a posterYou must present your findings to the class. You will only be given 3 class days to work as a team.Day 1: Meet your teammates. Get a list going of items to quantify

Day 2: Follow up with classmates, begin thinking about how you will present your findings.

Day 3: Create your project to present.

Grading:30 points will be given by my evaluation, using the rubric below

15 points will be earned by your teammates evaluations5 points earned by your classmates during your presentationPoint Value54321PresentationClear, precise, neat, excited, flowed easilyClear, neat, boring Hard to understand, good flow, little messyNo flow, no enthusiasm, voice was clearNO EFFORTEffortEnormous effort in constructionA lot of effortMediocre effortLittle EffortNO EFFORTResults12 + quantities presented11 9 quantities presented8 - 5 quantities presented4-2 quantities presented1 quantities presentedCreativityTypes of quantities presented were unique, and neatly presentedGood items used, little sloppyFew good items, little creativity1 good item, no creativityNo creativity items were bland, no planning Group work while in classEveryone was talking, giving lots of ideas, working togetherOnly 1-2 people talking, few good ideasDid not use time wiselyBehaviorVery well behaved, no arguingWell behavedLittle arguingAwfulNo effortSchedule of EventsMondayTuesdayWednesdayThursdayFridayAug. 2425 11:45 Early Dismissal26Autoskills Pre-Test27Autoskills Pre-Test28Autoskills Pre-Test31Get notebooks ready, discuss Ch 1Sept. 1Lesson 1: AddingHomework: Pages 4-5, #1-352Lesson 2: SubtractHomework: Pages 7-9 #1-303Lesson 3: EstimatingHomework: Page 11 #1-204QUIZ Day 1: Project Meeting7 NO SCHOOL Labor Day8Lesson 4: MultiplyHomework: Page 13 #1-259More on Multiplication10Lesson 5: DividingHomework:Pages 15#2-26 EVENs ONLY11More on Dividing14Lesson 6: EstimatingHomework : Page 19 #1-2515QUIZ Day 2: Project Meeting16Lesson 7: Arithmetic & AlgebraHomework: pg. 21 #1-2517Lesson 8: Numbers and LettersHomework: Pg. 23 #1-3018Lesson 9: Replacing VariablesHomework: Pg. 25 #1-3021 QUIZDay 3: Project Meeting22 Pg. 26, Activity Application 123 11:45 Early DismissalPlastic Money Activity24Chapter 1 Review TogetherPg. 27 - 2925Chapter 1 Supplementary ReviewPg. 368-36928Chapter 1 Pre-TestPRESENTATIONS29CHAPTER 1 EXAM30Autoskills

Oct. 1Autoskills

2Autoskills

To review addition and subtraction using whole numbersTo learn to estimate sums and differencesTo review multiplication and division using whole numbersTo learn to estimate products and quotientsTo recognize true, false, and open statementsTo recognize algebraic and numerical expressionsTo evaluate algebraic expressionsGoals for Learning:Vocabulary

Whole Number numbers such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, etc.

Algebra the branch of math that uses both letters and numbers to show relations between quantities

Arithmetic the study of the properties of numbers using four basic operations

Operation add, subtract, multiply, divide

Lesson 1: Adding Whole NumbersAddition combining two or more numbers to find a total

Addend numbers to be added to another

Sum the answer to an addition problem

123,456,789Place ValueValuePlace ValueWritten Form592511,84334,72742297More on Place Value and Numbers5 tens, 9 onesFifty-nineAltogetherTotalIn allDepositPerimeterSumIncreased byMore thanCombined, togetherAdded to

Addition Key WordsAddition Examples: 267 1,342+ 68 297a + 28a 31 + 232 + 5 = 3,234y+ 22y + 315y = HOMEWORK: Pg 4-5 #1-35 ALL NO CALCULATOR

EX CR: Write each vocabulary word in a sentenceVocabulary Subtraction operation of taking one number away from another

Difference the answer to a subtraction problem

Inverse opposite

Rename to give a new form that is equal to the original

Lesson 2 Subtracting Whole Numbers WARM UP ACTIVITYAre leftHow many remainHow much can you saveFewerLessdecreased byMinusdifference between/ofless than, fewer than

Subtraction Key WordsReview of Borrowing/Canceling/Renaming 97 - 28 21 - 13 5x - 2x 4,321 - 586Review of Borrowing/Canceling/Renaming with ZEROS 90 - 22 900 - 654 9000 - 1234 104 - 72 32,001 - 9,234HOMEWORK: Pg 7-9 #1-30 ALL NO CALCULATOR!

EX CR: Write each vocabulary word in a sentenceVocabulary Estimate also known as rounding a close guess: a nearly correct answer

Rules 0-4 stays the same5 -9 round up to the next number!When rounding a number to its greatest place value, look at the numeral next to the greatest place value.

591 531 45 1,234 - Lesson 3: Estimating Sums and DifferencesRound then Add or Subtract 90 - 22 45+ 26 234 + 556123,222 + 345 + 17,899 + 23 = 12,232 5,677 = 21HOMEWORK: Pg 11 #1-20 ALL NO CALCULATOR!Tomorrow you will take a QUIZ and work in your groups!EX CR: Write the vocabulary word in a sentenceVocabulary Multiplication the arithmetic operation that adds a number a given number of times

Factor the numbers in a multiplication problem

Product - the answer to a multiplication problem

Symbols used to show multiplication: ______________________

Lesson 4 Multiplying Whole Numbers 3x 3 9OfTimesmultiplied byproduct ofKey Words to MultiplicationComplete as many as you can in 3 minutes!Warm-Up Multiplication Problems

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HOMEWORK: Pg 13 #1-25 ALL NO CALCULATOR!Yes, multiplication chart.EX CR: Write the vocabulary word in a sentenceLesson 5 Dividing Whole NumbersVocabulary Division the arithmetic operation of finding how many times a number goes into another number

Divisor the number that is used to divide

Dividend - the number that is divided

Quotient the answer to a division problem

Remainder answer left after dividing

per, aout ofratio ofquotient ofpercent (divide by 100)Key Words to Dividing Whole NumbersComplete as many as you can in 3 minutes!Warm-Up Division Problems

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005958575655545352515049484746454443424140393837363534333231302928272625242322212019181716151413121110090807060504030201Classroom Timer001 Minute

Back to Clock Home005049484746454443424140393837363534333231302928272625242322212019181716151413121110090807060504030201Classroom Timer0050 Seconds

Back to Clock Home


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Pencils DOWN!

HOMEWORK: Pg 15 #2-26 EVENS ONLYNO CALCULATOR!Yes, multiplication chart.EX CR: Write the vocabulary word in a sentenceLesson 6 Estimating Products and QuotientsRemember to ROUND first, then multiply or divide.

Rules 0-4 stays the same5 -9 round up to the next number!When rounding a number to its greatest place value, look at the numeral next to the greatest place value.

Examples: Round then Solve

HOMEWORK: Pg 19 #1-25NO CALCULATOR!Yes, multiplication chart.Quiz tomorrow and 2nd group meeting. Lesson 7 Arithmetic and AlgebraVocabulary Expression a mathematical statement that usually includes numbers, variables and symbols

Variables - a letter or symbol in an expression

Terms parts of an expression separated by operation signs, such as +, -, x,

3x + 5 8m = 19 how many terms? ___________

5m 2 = 10 how many terms? Types of StatementsTrue it can be solved. Example 5 + 5 = 10False not true. Example: 3 x 5 = 20Open it contained a variable. Example: 4 c = 1

Interpreting Statements 15 + n15 n15n15nP - 4

ContIdentify the following expressions as true, false or open 4 + 8 = 129 x = 103(2) = 5

Interpret the following expressions.4 m 7(2)

4 added to m18 divided by 2

ExamplesHOMEWORK: Pg 21 #1-25NO CALCULATOR!Yes, multiplication chart.Vocabulary Types of Expressions Algebraic a statement that contains numbers, symbols, and variables

Numerical a statement that contains numbers and symbols

Operations add, subtract, multiply, divide

Variables letters in an expressionLesson 8 Representing Numbers Using LettersFor each statement identify the variable, operation, and type (algebraic or numerical)Identifying Parts of an ExpressionVariablesOperationsType of Statement3e 1215 + 3425c 53 x 539 13pHOMEWORK: Pg 23 #1-30Vocabulary Substitute to put a number in place of a variable

Evaluate to find the numerical value of an algebraic expression

Writing Algebraic Expressions

Subtract 16 from some number Add some number to 24 multiply some number times 6 Add 12 to 5 times some number -

Lesson 9 Replacing Variables32 n; when n = 4

6 m; when m = 8

6c + 7; when c = 7

(8k)(8); when k = 3SubstitutingAfter substituting decide where the statement is true or falseIs 3a = 9 true or false when a = 3? Is b 8 = 4 true or false when b = 13? Is 10x 14 = 6 true or false when x = 2?Is 18 m = 2 true or false when m = 9?

Substituting and EvaluatingHOMEWORK: Pg 24-25 #1-30No Calculator!!Quiz tomorrow, Day 3 of group work.

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Pre-Algebra Chapter 1: Algebra and Whole Numbers