what are different ways you can add? solve the following: 34 + 5060 + 416 = 810 + 14078 + 9872 + 20...

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

Thousands Hundreds Tens Ones Decimal Point

Tenths Hundredths

1 2 4 7 . 6 3

The place value chart below shows 1247.63

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 Valueshttp://www.learnalberta.ca/content/memg/index.html?term=Division02/Place_Value/index.html

Review – Adding and Subtracting Decimals

2.1 Add and Subtract DecimalsStudent 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.

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


decimals.



Example #2 537.85 - 174.60 = 363.25 500.00 - 100.00 = 400.00

Using front-end estimation: 400 is a good estimation


decimals.



Example #3 49.45 + 239.99 + 87.06 = 376.50

____ + _____ + ____ = _______

Example #4 708 – 45.89 = 662.11

___ - ____ = _________

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 #187.85 + 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

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_____ - ____ + _____ = _______

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 #187.85 + 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

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_____ - _____ = _____

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 #187.85 + 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

Try It On Your Own! Rewrite each question using front-end

estimation. A) 45 + 33 + 92 = 170

____ + ____ + ____ = ____

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.

A) 45 + 33 + 92 = 170____ + ____ + ____ = ____

____ + ____ + ____ = ____

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

Multiplying Decimal NumbersStudent 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 NumbersStudent 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 rowEach columnEach 3 x 3 square.

DID YOU KNOW!!!!

Multiplying DecimalsStudent 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:


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


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.

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 NumbersStudent 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 DecimalsStudent 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.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.

12 ÷ 4 = 3 So 1.2 ÷ 4 = 0.3

16 ÷ 4 = 4 So1.6 ÷ 4 = 0.4

Dividing DecimalsStudent 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

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

BEDMASStudent 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 ExponentsDo anything that has a exponent

(power)82

(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 operationsfrom 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)

5 + 9

14

2) 8 – 3 x 2 + 72) 8 – 3 x 2 + 7

8 - 6 + 78 - 6 + 7

2 + 72 + 7

993) 39 ÷ (9 + 4)3) 39 ÷ (9 + 4)

39 ÷ 1339 ÷ 13

33

4) 10 + 8 ÷ 2 – 6 10 + 4 - 6 14 - 6 8

5)5) 15 x 1015 x 1033 15 x 15 x

1,0001,000 15 00015 000

6)6) 36 ÷ (1 + 2)36 ÷ (1 + 2)22

36 ÷ 336 ÷ 322

36 ÷ 936 ÷ 9 44

7) 3 x 107) 3 x 1044

3 x 10 3 x 10 000000

30 00030 000

8) (5 – 1)3 ÷ 4

43 ÷ 4

64 ÷ 4

16

9)9) 14 + 3(7 -2) – 2 x 514 + 3(7 -2) – 2 x 5

14 + 3 x 5 - 2 x 514 + 3 x 5 - 2 x 5

14 + 15 - 2 x 514 + 15 - 2 x 5

14 + 15 – 1014 + 15 – 10

29 – 1029 – 10

1919

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

Order of Operations – Learn Alberta

Let’s PracticeStudent 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 PracticeStudent 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.

a) On the front: 18 + 3 – 3 x 5

b) On the back (2 x 3) – 4 + 8 ÷ 4

Assignment – Chapter Review -75 #1-4, 5ab, 6ab, 7ab, 8, 9ab, 10-12,

13ab, 14ab, 15, 16, 17ab, 18ab, 19ab, 20ab

Assignment – Wrap it Up!!

This will be completed at home using a computer. Please fill in all blanks with parent.

Student to receive handout for support.

GAME –

what are different ways you can add? solve the following: 34 + 5060 + 416 = 810 + 14078 + 9872 + 20...

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