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Chapter 1. Lesson 1-1. Objective/ I can…. I can… understand whole numbers Homework: Worksheet 1-1. New Vocabulary. Standard form: number form (ex: 1,234) < “less than” = “equal” > “greater than”. Examples and Notes. Place Value: 15 138 1,862, 394. Examples and Notes.
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Objective/ I can… • I can… understand whole numbers • Homework: Worksheet 1-1
New Vocabulary • Standard form: number form (ex: 1,234) • < “less than” • = “equal” • > “greater than”
Examples and Notes Place Value: 15 138 1,862, 394
Examples and Notes • Compare: • 8,215 ______ 8,125 • 8,801 ______ 810 ______ 801 • 29,286_____ 29,826 ______ 29,628
Examples and Notes • Write in words: • 1,256- • One thousand, two hundred, fifty six. • No “AND”! • 1,001,001 • One million, one thousand, one
Objective/ I can… • I can… Estimate with whole numbers • Homework: Worksheet 1-2 and puzzle 1-2
New Vocabulary • Compatible numbers: • Numbers that are easy to compute mentally
Examples and Notes • Estimate by rounding (nearest 10 or 100): • 37 + 62 + 48 • 40 + 60 + 50 ≈ 150 • 121-82 • 120 -80≈ 40
Examples and Notes • Compatible Numbers (use mainly for x and ÷): • 38÷6 • 36 ÷6 ≈6 • 47 ÷8 • 48÷8≈6 • 29×41 • 30×40≈1,200 • 2×3,978 • 2×4,000 ≈8,000
Khan Academy Links • Video: • http://www.khanacademy.org/math/arithmetic/multiplication-division/v/rounding-whole-numbers-3 • Activities: • http://www.khanacademy.org/math/arithmetic/decimals/e/rounding_whole_numbers
Objective/ I can… • I can… Understand and use the properties of numbers • Homework: Worksheet 1-3
Khan Academy Links • Video: • Commutative • Associative • Activities: • Commutative Practice • Associative Practice
Objective/ I can… • I can… Apply the order of operations • Homework: Worksheet 1-4 and p 18, #2-30 evens
New Vocabulary • Expression: No equal sign ( 3x5x2 ) P arentheses E xponents M ultiplication D ivision A ddition S ubtraction “Please Excuse My Dear Aunt Sally”
Examples and Notes • Find the value of each expression: • 17- 4 x 2 • 34 + 5 x 2 - 17
Examples and Notes • Find the value of each expression: • (6+18) ÷ 3 × 2 • (12-9) × (6+1)
Examples and Notes • Find the value of each expression: • 200 – (99 ÷ 3) × 2
Khan Academy Links • Video: • Order of Operations • Activities: • Order of Operations Practice
Objective/ I can… • I can… Read, write and round decimals • Homework: Worksheet 1-5, P.24 #4-32 evens
New Vocabulary • Expanded form: • A sum that shows the place value of each number • Ex: standard form 0.75 • Expanded form 0.7 + 0.05 • Ex: standard form 1.601 • Expanded form 1 + 0.6 + 0.001
Examples and Notes • Ex: 2.65 • Read the place value word for the last number • The 5 is in the hundredths place so, • Two and Sixty Five hundredths
Examples and Notes • Ex: 13.841 • Read the place value word for the last number • The 1 is in the thousandths place so, • Thirteen AND eight hundred for one thousandths
Examples and Notes • Ex: 9.04 • Read the place value word for the last number • The 4 is in the hundredths place so, • Nine and four hundedths
Examples and Notes • Rounding Decimals • Same as rounding whole numbers • Underline the place value you’re rounding to. • Look next door, 0-4 to the floor, 5-9 climb the vine!
Examples and Notes • Round to the nearest hundredth • 1.5226 1.5226 • Round to the nearest tenth • 9.0865129
Khan Academy Links • Video: • Rounding Decimals • Activities: • Rounding Decimals Practice
Objective/ I can… • I can… Compare and Order Decimals • Homework: Worksheet 1-6 and p.29 #2-20 (evens)
New Vocabulary • Annex: to add a zero at the end of a decimal number • Ex: 0.3 (three tenths) • Ex: 0.30 (thirty hundredths) • Does not change the value of the number (0.3 = 0.30)
Examples and Notes • Use a model to compare 0.4 and 0.36 0.4 ________ 0.36
Examples and Notes • An easier way… Annex zeros • Order from least to greatest • 0.5 • 0.61 • 0.07 • 0.312 • Answer:
Examples and Notes • Order from least to greatest • 3.059, 3.64, 3.46 (use annex zeros) • Answer
Khan Academy Links • Video: • Ordering Decimals • Activities: • Ordering Decimals
Objective/ I can… • I can… Add and subtract decimals • Homework: Worksheet 1-7 and p.34 #6-26 evens Show your work!!!
New Vocabulary • Front End Estimation: Add the front digits, then estimate the rest. Ex: 1.79 1.29 + 1.49 Solve:
Examples and Notes • For + and -, LINE UP THE DECIMAL POINTS! • 6.8 + 4.65 + 2.125 • Estimate first • Then solve (annex zeros) • Are they close?
Examples and Notes • For + and -, LINE UP THE DECIMAL POINTS! • 3.026 + 14.7 + 1.38 • Estimate first • Then solve (annex zeros) • Are they close?
Examples and Notes • Front End estimation • 2.1 +3.4 • (whole #s, then decimals, then combine) • Answer: _________
Examples and Notes • Front End estimation • 3.92 + 16.21 • (whole #s, then decimals, then combine) • Answer: ________