What are different ways you can add? Solve the following: 34 + 5060 + 416 = 810 + 14078 + 9872 + 20 =

What is the difference or similarities when adding whole numbers and decimals? Solve the following: 34 + 5060 + 416 = 810 + 14078 + 9872 + 20 =

What is the difference or similarities when adding whole numbers and decimals? 34 + 5060 + 416 = 34.56 + 5060.09 + 416.876 810 + 14078 + 9872 + 20 = 810 + 14078.45+ 9872.1 + 20.09 =

Place Value The number 1147.63 is one hundred less than 1247.63 The place value chart below shows 1247.63 Thousands Hundreds Tens Ones Decimal Point Tenths Hundredths 1 2 4 7 . 6 3 The number 1248.63 is one more than 1247.63 The number 1147.63 is one hundred less than 1247.63 The number 1247.83 is two tenths more than 1247.63

Review Where is the decimal place? 34 $5698 508 67.89 HIDDEN DECIMAL

Review Arrange each set of numbers from greatest to least! What strategy did you use? A) 1.8, 2.8, 1.9 B) 365.7, 358, 365.9

Review – Learn Alberta Place Values http://www.learnalberta.ca/content/memg/index.html?term=Division02/Place_Value/index.html

Review – Adding and Subtracting Decimals What do you need to do? Line up the decimals Add zeros into place values that are empty (if you wish) Ex: 12.3 + 2. 4 = 12.3 12.3 + 2.4 + 02.4 14.7 14.7

Review – Adding and Subtracting Decimals What do you need to do? Line up the decimals Add zeros into place values that are empty (if you wish) Ex: 187.415 + 34.6 = 187.415 187.415 + 34.6 + 034.600

2.1 Add and Subtract Decimals Student Outcome: I can use different strategies to estimate decimals. Pg 44 Vocabulary: Estimate: to approximate an answer Overestimate: Estimate that is larger than the actual answer Underestimate: Estimate that is smaller than the actual answer

Show me what you know? Can you work at wal mart? I will show you 6 items. You will write down the item actual cost and then estimate your bill total http://medicinehat.flyerland.ca/walmart/46 - wal mart link Item Description Actual cost 1. 2. 3. 4. 5. 6.

Using front-end estimation: 290 is an ok estimation Front-End Estimation Student Outcome: I can use different strategies to estimate decimals. Front End Estimation: keep the leading (front) digit and then add zeros behind Example #1 87.85 + 14.60 + 273.52 = 375.97 80.00 + 10.00 + 200.00 = 290.00 Using front-end estimation: 290 is an ok estimation

Using front-end estimation: 400 is a good estimation Front-End Estimation Student Outcome: I can use different strategies to estimate decimals. Front End Estimation: keep the leading (front) digit and then add zeros behind Example #2 537.85 - 174.60 = 363.25 500.00 - 100.00 = 400.00 Using front-end estimation: 400 is a good estimation

Front-End Estimation Student Outcome: I can use different strategies to estimate decimals. keep the leading (front) digit and then add zeros behind Example #3 49.45 + 239.99 + 87.06 = 376.50 ____ + _____ + ____ = _______ Example #4 708 – 45.89 = 662.11 ___ - ____ = _________

Using relative size: 170.00 is a good estimation Relative Size Student Outcome: I can use different strategies to estimate decimals. Use Relative Size: Estimating each number to the nearest ten, hundred, thousand etc. Example #1 87.85 + 14.60 + 73.52 = 175.97 87.85 is between 80 and 90, and closer to 90.00 14.60 is between 10 and 20, and closer to 10.00 73.52 is between 70 and 80, and closer to 70.00 90.00 + 10.00 + 70.00 = 170.00 Start here october 2, 200 Using relative size: 170.00 is a good estimation

Relative Size Student Outcome: I can use different strategies to estimate decimals. Use Relative Size: Estimating each number to the nearest ten, hundred, thousand etc. Example #2 39.01 + 62.77 = 101.78 ____ + ____ = ________ Example #3 567.28 – 21.99 + 38.34 = 583.63 _____ - ____ + _____ = _______ Start here october 2, 200

Using compensation: 170 is a good estimation Compensation Student Outcome: I can use different strategies to estimate decimals. Use Compensation: (try to round up - round down) Estimating each number to the nearest ten, hundred, thousand etc. Example #1 87.85 + 14.60 + 73.52 = 175.97 87.85 is closer to 90.00 (round up) 14.60 is closer to 10.00 (round down) 73.52 is closer to 70.00 (round down) 90.00 + 10.00 + 70.00 = 170.00 Start here october 2, 200 Using compensation: 170 is a good estimation

Compensation Student Outcome: I can use different strategies to estimate decimals. Use Compensation: (try to round up - round down) Estimating each number to the nearest ten, hundred, thousand etc. Example #2 12.45 + 71.12 – 19.43 = 64.14 ____ + ____ - ____ = ____ Example #3 567.89 – 123.00 = 444.89 _____ - _____ = _____ Start here october 2, 200

Compatible (Friendly) Numbers Student Outcome: I can use different strategies to estimate decimals. Use Compatible numbers: (5’s, 10’s 50’s 100’s 1000’s) Example #1 87.85 + 14.60 + 73.52 = 175.97 87.85 is closer to 90 or 85 14.60 is closer to 10 or 15 73.52 is closer to 70 or 75 Two possible answers, but still others 90+10+70 = 170 or 85+15+75 = 175 Start here october 2, 200

Try It On Your Own! Rewrite each question using front-end estimation. ____ + ____ + ____ = ____ B) $475.12 - $210.38 = $264.74 _________ - ________ = ________ Is your estimate higher or lower than the calculated answer? _____________

Try It On Your Own! Use any strategy to estimate the answers. ____ + ____ + ____ = ____ B) $475.12 - $210.38 = $264.74 ________ - ______ = _______

Try It On Your Own! Using estimation, where would you put the decimal point in the answer? Why? A) 631.5 + 902.4 + 217.83 = 175173 ______ + ______+ ______ = _______ B) $475.12 - $210.38= $26474 _______ - _______ = _______

Try These On Your Own! For Homework Due Tomorrow! Page 48. #1, 4, 7, 11, 14, 15, 20, 22, 25 and Handout 2.1

Assignment – Let’s go shopping Student’s will receive their handout to select their items and money to purchase merchandise.

_______ - _______ = _______ Practical Quiz #1 Using Estimation, fill in the blanks where would you put the decimal point in the answer? A) $782.56 - $258.76 = $5238 _______ - _______ = _______ B) Solve 54.12 + 2056.890 + 1.3 =

Multiplying Decimals Learn Alberta http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=10 Slides 1, 4, 5

Multiplying Decimal Numbers Student Outcome: I can estimate by +,-,x,÷ decimals. Problem: Page 52 Ashley and Marshall’s family keep busy travelling across the country by solving sudoku puzzles! During a stop, they look in a convenience store for more puzzles. Marshall finds sudoku books on sale for $1.69. he wants to buy five books and has $9.00. Help him estimate the total cost of the five puzzle books! $1.69 x 5 = ______?

Multiplying Decimal Numbers Student Outcome: I can estimate by +,-,x,÷ decimals. 1. Marshall estimates the total bill as $5.00 a) How do you think Marshall got his estimate? b) Is Marshall’s estimate over or under the total? How do you know? 2. Ashley estimates the total bill as $10.00 a) How do you think Ashley got her estimate? b) Is Ashley’s estimate over or under the total?

Sudoku DID YOU KNOW!!!! Sudoku was invented hundreds of years ago, and traded around the world by ancient mathematicians. Each digit from 1 to 9 must occur in: Each row Each column Each 3 x 3 square.

Multiplying Decimals Student Outcome: I can estimate by +,-,x,÷ decimals. Use front-end estimation and relative size to estimate: 2.65 x 3.72 Front-End Estimation: Relative Size: (are there easier #’s to use) Compensation:

Multiplying Decimals Student Outcome: I can estimate by +,-,x,÷ decimals. Estimate to make sure your answer is reasonable! Multiply 1.54 x 25 What strategy will you use? - old school multiplying -box method Chinese lines https://www.youtube.com/watch?v=8iIU9EDC2GQ

Multiplying Decimals Student Outcome: I can estimate by +,-,x,÷ decimals. Use a calculator to solve the equation: Multiply 1.54 x 25 Things I know: 25 x 1 = 25 Things I know 25 x 2 = 50 Why would the answer lie between 25 and 50.

Multiplying Decimals Student Outcome: I can estimate by +,-,x,÷ decimals. Using paper and pencil Multiply without decimals add decimals to product Estimate an answer. Why? Ex: 2.6 x 3.7= 26 x 37 962

Practice Makes Perfect Page 57 2, 3, 6ab, 9, 12, 14,18, 19, 21

Dividing Decimals Learn Alberta http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=10 Slides 6-9

Dividing Decimal Numbers Student Outcome: I can estimate by +,-,x,÷ decimals. Example 1: A) 15.4 ÷ 3.6 = 4.27778 Front-End Estimation: Things I know: 15 ÷ 3 = 5 The answer closest to 5 is 4.27778

Dividing Decimals Student Outcome: I can estimate by +,-,x,÷ decimals. Estimate to make sure your answer is reasonable! Divide 91.50 ÷ 2.5 What strategy will you use? long division big “7” https://www.youtube.com/watch?v=4ukuY0hv0Y4

Dividing Decimal Numbers Using a Number Line Ex: 10 ÷ 2 =

Use Estimation to Place the Decimal Point Use Estimation to Place the Decimal Point. Student Outcome: I can problem solve using decimals. Example #2: Four friends buy 1.36L of pure orange juice and divide it equally. A) Estimate each person’s share. B) Calculate each person’s share.

Use Estimation to Place the Decimal Point. Solution: A) To estimate, round 1.36L to a number that is easier to work with. Try 1.2 1.2 ÷ 4 = 0.3 Underestimate Try 1. 1.6 ÷ 4 = 0.4 Overestimate Things I know 12 ÷ 4 = 3 So 1.2 ÷ 4 = 0.3 16 ÷ 4 = 4 So 1.6 ÷ 4 = 0.4

Dividing Decimals Student Outcome: I can problem solve using decimals. Problem Questions: 1. How many pens do you think you can buy with $6.00 if one pen costs $0.40 Use both front-end estimation and relative size estimation to find your educated guess. Strategy Used:

Working Together!! Pg 66 #10 A package of 7 fish hooks costs $17.99 How much will one fish hook cost? Estimate Calculate- by hand and with calculator Did you over/under estimate? ANSWER: $17.99 ÷ 7 = $2.57

Working Together! Pg 66 #11 Ashley wants to find how many 355 mL cans of juice are in a 2-L bottle. A) Show Ashley how to estimate the answer B) Show Ashley how to calculate the answers

Assignment Page 65 – 67 #1, 4, 8, 12, 13, 14, 17, 19, 22

Practical Quiz #2 What is the cost of each purchase before tax? Show your work!! 3 oatmeal cereal bars for $7.50

BEDMAS Student Outcome: I can solve problems using order of operations. Remember the order by the phrase B - BRACKETS E - EXPONENTS D/M – DIVIDE OR MULTIPLY A/S – ADD OR SUBTRACT

The “B” and “E” Student Outcome: I can solve problems using order of operations. The “B” stands for items in brackets Do all items in the brackets first (2 + 3) The “E” stands for Exponents Do anything that has a exponent (power) 82

The “DM” Student Outcome: I can solve problems using order of operations. Represents divide and multiply Do which ever one of these comes first in the problem Work these two operations from left to right

The “AS” Student Outcome: I can solve problems using order of operations.. Represents Add and Subtract Do which ever one of these comes first Work left to right You can only work with 2 numbers at a time. 8 + 7 - 5 + 2

1) 5 + (12 – 3) 5 + 9 14 2) 8 – 3 x 2 + 7 8 - 6 + 7 2 + 7 9 3) 39 ÷ (9 + 4) 39 ÷ 13 3

15 x 103 15 x 1,000 15 000 10 + 8 ÷ 2 – 6 10 + 4 - 6 14 - 6 8 36 ÷ (1 + 2)2 36 ÷ 32 36 ÷ 9 4 7) 3 x 104 3 x 10 000 30 000

14 + 3(7 -2) – 2 x 5 14 + 3 x 5 - 2 x 5 14 + 15 - 2 x 5 14 + 15 – 10 29 – 10 19 (5 – 1)3 ÷ 4 43 ÷ 4 64 ÷ 4 16

Order of Operations – Learn Alberta http://www.learnalberta.ca/content/mejhm/index.html?ID1=AB.MATH.JR.NUMB&ID2=AB.MATH.JR.NUMB.INTE&lesson=html/object_interactives/order_of_operations/use_it.html

Let’s Practice Student Outcome: I can solve problems using order of operations. Place the operations shown in square brackets to make each statement true. 9__ 5__5 = 50 (+, x) 15 __ 3 __2 = 24 (x,-)

Let’s Practice Student Outcome: I can solve problems using order of operations. What are the missing numbers? A) _____ + 5 x 6 = 32 B) _____ - 3.2 ÷ 0.5 = 5

Assignment Page 71-73 # 1, 5, 6ab, 9ab, 11, 15, 17, 22, 23

Practical Quiz #3 Solve. Show all your steps. On the front: 18 + 3 – 3 x 5 On the back (2 x 3) – 4 + 8 ÷ 4

Assignment – Chapter Review Page 74-75 #1-4, 5ab, 6ab, 7ab, 8, 9ab, 10-12, 13ab, 14ab, 15, 16, 17ab, 18ab, 19ab, 20ab

Assignment – Wrap it Up!! Page 77 This will be completed at home using a computer. Please fill in all blanks with parent. Student to receive handout for support.

GAME – Page 78