Place Value ThousandsHundredsTensOnesDecimal Point TenthsHundredths  The place value chart below shows  The number is one more than  The number is one hundred less than  The number is two tenths more than

Review Where is the decimal place? 34 $ 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

Review – Adding and Subtracting Decimals What do you need to do? 1. Line up the decimals 2. Add zeros into place values that are empty (if you wish) 3. Ex: =

Review – Adding and Subtracting Decimals What do you need to do? 1. Line up the decimals 2. Add zeros into place values that are empty (if you wish) 3. Ex: =

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

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 # = = 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 # = = 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 # = ____ + _____ + ____ = _______ Example #4708 – = ___ - ____ = _________

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 # = is between 80 and 90, and closer to is between 10 and 20, and closer to is between 70 and 80, and closer to = Using relative size: 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 # = ____ + ____ = ________ Example # – = _____ - ____ + _____ = _______

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 # = is closer to (round up) is closer to (round down) is closer to (round down) = 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 # – = ____ + ____ - ____ = ____ Example # – = _____ - _____ = _____

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 # = is closer to 90 or is closer to 10 or is closer to 70 or 75 Two possible answers, but still others = 170 or = 175

Try It On Your Own! Rewrite each question using front-end estimation. A) = 170 ____ + ____ + ____ = ____ B) $ $ = $ _________ - ________ = ________ Is your estimate higher or lower than the calculated answer? _____________

Try It On Your Own! Use any strategy to estimate the answers. A) = 170 ____ + ____ + ____ = ____ B) $ $ = $ ________ - ______ = _______

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

Try These On Your Own! For Homework Due Tomorrow! Pg 48. #4, 7, 8ac, 10ac, 14, 20, 21 Extend 22, 24, 25 Page 2.1 worksheet

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

Assignment – Let’s go shopping Student’s will receive their handout to select their items and money to purchase merchandise. $500.00

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? How do you know?

Sudoku  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. DID YOU KNOW!!! !

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:

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?

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 know25 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 x37 962

Multiplying Decimals Learn Alberta Slides 1-5

Practice Makes Perfect Page 57 3, 6ab, 9, 13, 14,17 Extend 20, 21

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

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

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 ÷ 4 = 0.3 Underestimate Try ÷ 4 = 0.4 Overestimate Things I know 12 ÷ 4 = 3 So 1.2 ÷ 4 = ÷ 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? 1) Estimate 2) Calculate- by hand and with calculator 3) 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

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

Dividing Decimals Learn Alberta Slides 6-10

Assignment Page 65 – 67 #4, 8, 12, 13, 14, 17, 19 Extend #21, 22

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 The “E” stands for Exponents Do anything that has a exponent (power) 8282 (2 + 3)

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.

1) 5 + (12 – 3) ) 8 – 3 x ) 39 ÷ (9 + 4) 39 ÷ ÷ 13 3

4) ÷ 2 – ) 15 x x 1, x 1, ) 36 ÷ (1 + 2) 2 36 ÷ ÷ ÷ 9 36 ÷ 9 4 7) 3 x x x

8) (5 – 1) 3 ÷ ÷ 4 64 ÷ ) (7 -2) – 2 x x x x x x x – – – –

INTE&lesson=html/object_interactives/order_of_operations/use_it.html INTE&lesson=html/object_interactives/order_of_operations/use_it.html Order of Operations – Learn Alberta

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) _____ ÷ 0.5 = 5

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

Assignment Page # 5, 6ab, 7ab, 9ab, 11, 14, 17, 18a, 19 Extend #22, 23, 24

Assignment – Chapter Review Page #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