Math Problems Done in Class (Most recent at top)

Area and Perimeter Find the area of a rectangle that has a width of 17 units and a length of 12

units. Draw the rectangle on graph paper using a ruler and let each square on

the paper represent one unit. Find the area and perimeter of the rectangle.

Explain how you got your solution.

Multiplication Solve 100 x 100.

Prove that your answer is correct and determine a rule for multiplying by 10,

100, 1000

Measurement Conversions How many grams are in one serving if 1.5 kg will serve six people? Multiplication I was helping a friend design her new rectangular patio. It will be made of

square tiles. The long side of her patio will be 25 tiles long, and the short side

will be 16 tiles long. How many square tiles should she buy? Show more than

one way to solve this problem. Triangle Use a protractor, ruler, and pencil to construct a scalene triangle with a 30°

angle and a side measuring

12 cm. Measure the other sides and angles.

Time - Toronto to Montreal You are travelling from Toronto to Montreal by train. If the train departs

Toronto at 11:30 a.m. and arrives in Montreal at 4:56 p.m.,

a) How long will you be on the train?

b) What is the arrival time in Montreal in 24 hour time?

c) Show the departure time from Toronto on the clock below.

Mean, Median, Mode

5, 7, 3, 6, 10, 7, 3, 9, 8, 3, 5, 11, 3, 4

a) What is the range? b) Find the mean, median and mode for the above data set. c) What do you think will happen to the mean if 4 is added to the set of data? Why? d) Mean, median and mode are all types of averages. Which one best represents the data? Explain. Area Populations from 1996 to 2011 Name: ___________

2011 2006 2001 1996

Kitchener 219,153 204,668 190,399 178,420

Cambridge 126,748 120,371 110,372 101,429

Guelph 121,688 114,943 106,170 95,821

Waterloo 98,780 97,475 86,543 77,949

1) Based on population in 2011 , what is the total population of Kitchener, Cambridge,

Guelph and Waterloo altogether ? Write this amount in standard form, expanded form and

in words.

2) How many more people did Guelph have in 2011 than in 1996? Write an equation to help

solve for the missing amount. 3) Round the populations for Kitchener in each year to the nearest thousand . 4) Now create an appropriate graph to show the change in population of Waterloo from 1996 to 2011. Explain why you chose this type of graph. Think about the scale you will use. 5) What conclusion(s) can you make from the population data above? Geometry Classify (name) the shapes below in as many ways as you can.

A. A) Solve the following equations:

1) 13 + X = 20 2) X - 8 = 25

3) 14 + 12 = X 4) 11 + X = 35 - 20

5) 25 + 10 = X - 5

B) Write an equation to help you solve the following problem:

I have 14 Smarties in total. 9 are blue. How many are other colours?

C) Use the given equation to help you solve:

C = 4 x N

C = total cost in dollars

N = number of milkshakes purchased

1) What is the cost of 5 milkshakes?

2) If the total cost is $12, how many milkshakes were purchased?

Making Triangles 1) Construct triangle QRS

Side QR = 6 cm

<R = 75 degrees

<Q = 30 degrees

a) What should <S equal?

b) Measure the other 2 sides.

c) What kind of triangle have you created?

2) Construct a right angled isosceles triangle with a side measuring 5 cm.

a) What are the other 2 angles?

b) Measure the side lengths.

Elapsed Time Problems Solve and show your work!

1) Razan is making brownies. They need to bake for 47 minutes. She put them

in the oven at 6:30 p.m. At what time should she take them out?

2) An airplane left the Region of Waterloo Airport at 9:50 A.M. and arrived in

Thunder Bay at 11:45 a.m. How long did the trip take?

3) How long did Ty sleep if he went to bed at 9:40 p.m., and got up at 7:20

a.m.?

4) Five hours and 42 minutes after he started a bike tour, Aboodi completed

the tour. If he finished at 2:17 p.m, what time did he start?

5) If Mr. Cummings leaves home at 7:55 a.m. and arrives at school at 8:04

a.m., how long did it take him to get here?

6) Ms. Banks set a timer at 9:15 a.m. to ring in 35 minutes for a practice quiz

in her classroom. What time will it be when the timer rings?

7) Sara took a trip from Waterloo to Quebec City during Spring Break. She

left home at 6:45 a.m. and arrived at 7:55 p.m. How long did the trip take?

8) Ryan left home at 4:42 p.m. and rode his bike to his friend's house. It took

him 23 minutes. What time did he arrive?

9) Kate did her science project in three parts. Part one took her 45 minutes.

Part two took her 36 minutes. Part three took her 14 minutes. What was the

total time it took her to finish her project?

10) Dad began cutting grass on Saturday morning at 9:28 a.m. He finished the

entire yard by 10:33 a.m. How long did it take him?

Polygons Using a ruler, draw and name as many polygons as you can. What are the

properties of each polygon?

Clock Template (on Practice Tab)

Geometry

Construct triangle GHK.

<H is 45 0

Side HK is 64 mm.

Side HG is 46 mm.

a) What is <K?

What is side GK?

b) Suppose the length of side HG changes

to 7 cm.

What happens to the measure of <K?

What happens to the length of GK? Algebra Solve for the missing variable:

1) 15 + X = 22 2) X - 9 = 21

3) 17 + 14 = X 4) 12 + X = 25 - 10

5) 35 + 10 = X - 5

1) Write an equation to help you solve the following

problem:

I have 17 stamps in total. 8 are from Canada. How many are

other countries?

Data Management - Allowances Name:_____________

Here are the weekly allowances of 15 grade 5 students:

$4, $6, $8, $10, $15, $5, $7, $10, $5, $10, $5, $10, $4, $13,

$8

a) Find the range of the data.

b) What is the mean allowance? (You may use a calculator. ) c) What is the mode of the allowances?

d) What is the median allowance?

e) Suppose allowances of $13 and $20 are added to the list. What do you

think will happen to the mean?

f) What type of data is this (2 types)? How do you know?

g) Create an appropriate graph of the data on the graph paper provided.

DM Mean, Median and Mode

The scores on a math quiz out of 20 were:

5, 10, 13, 5, 18, 20, 19, 15, 16, 5, 17, 20, 19

a) Find the range, mean, median and mode of the data. You may use a

calculator, but show your work!

b) Mean, median and mode are all types of averages. Which one best

represents this data? Why?

c) What happens to the mean if another score of 18 is added to the data set?

Will it go up or down? Why?

Time Freight Train A freight train travels 100 km every hour. It passes over a river at 10:00

a.m. 4 hours later, a passenger train passes over the same river. The

passenger train travels 150 km every hour. When does the passenger train

overtake the freight train? What time is this in 24 hr time? How far are they

from the river?

Algebra C = 3 x n C = total cost in dollars N = number of sandwiches purchased a) What is the cost of 5 sandwiches? b) If the total cost is $12, how many sandwiches were purchased? Algebra You are trying to find a number. Let this number be X. Double the number. Subtract 6 from that result and divide the answer by 2. The quotient will be 20. What is the number? Geometry

1) Cut out the shapes on the dotted line. 2) Sort them in a way that is logical to you. 3) Open up the Educreations app. Using the ipad, take a picture. 4) Explain why you sorted them the way you did (you may use the voice

recording, text box or write on screen) 5) Can you resort the polygons within their groups based on other

properties? 6) Repeat #3 & 4

Place Value

"Water Tank Problem" At the cottage, there is a water tank that fills with rainwater. The water in this basin is pumped to the cottage and used for cooking, cleaning, bathing, etc. It holds 13 000 litres of water when full. 2 222 L is used for cooking, 4 580 L for showering, and 3 626 L for cleaning each week.

1. What is the total amount of water used in a week? Show this amount in standard form, in words and in expanded form.

2. If it rains a lot over the weekend and we gather 10 000 more litres of water, will it fill the tank? (Pretend we have already cooked, showered, and cleaned for this week!) Show your work!

Geometry - Triangles a) Construct a triangle with: ab = 6 cm

<b = 60˚ <a = 30˚

b) How long are the other 2 sides? c) What is the other angle? How do you know? d) What kind of triangle have you made (2 types)? How do you know? Place Value

How Big is 100 000?

1) A population of a town is 25 197. A new family moves into town. What might be the new population?

2) I am thinking of a number.

It is between 20 000 and 60 000. Each digit is even. The sum of the digits is 10. Find more than one answer.

3) a) How long would it take to roll to 100 000 pennies? b) How high would a stack of 100 000 pennies be? Explain how you could figure these out. Data Management Assignment

1) Considering our discussion and the examples we went over in class, you are to choose something that you would like to chart or track, daily over the next few weeks. 2) The data for the topic you choose will be data that could change over time (continuous data) and will be in the form of some type of number (e.g., money, time, temperature)

3) Before Thursday, you need to confirm the following with Miss Snelgrove: a) What you will be tracking b) The purpose (What information do YOU hope to learn from collecting your data?) c) How exactly are you going to collect the data (personal experiments, accessing secondary data)?

Part B Each school day you will take a few minutes to collect your data for your chosen topic and record it in a chart starting on the BACK page of your Everything Book. It is up to you if you choose to collect data on weekends.

e.g.

Date Sunrise Sunset

Oct. 1 7:28 18:53

Oct. 2 7:29 18:54

Oct 3

Part C

a. Create an appropriate graph for your data.

b.What is the range of the data?

c. Find the mean, median and mode.

d.What type of data have you collected (primary or

secondary; discrete or continuous)? How do you know?

e.What conclusions can you make from you data?

Equations Daniel went to visit his grandmother, who gave him $1.50. Then he bought a

book costing $3.20. If he has $2.30 left, how much money did he have before

visiting his grandmother? Write an equation (number sentence) to help you

solve this problem.

Geometry - Triangles a) Construct a triangle with:

DE = 5 cm

DF = 5 cm

<D is a right angle

b) Find the measure of the other 2 angles and side EF. c) What kind of triangle have you constructed? (2 kinds) d) How do you know your angle measurements are correct? Geometry Polygon Angles A) Using a ruler and sharp pencil, create these irregular (not all angles and side lengths are the same) polygons: a quadrilateral (4) a pentagon (5) a hexagon (6) B) Measure and label all side lengths and angle measurements. What do you notice about what the angles in each polygon add to? C) Now that you know what each polygon adds to, choose one of the polygons and create a regular shape. Try it with these if you are finished. a heptagon (7) an octagon (8) a decagon (10) Algebra 1) There are two numbers whose sum is 72. One number is twice the other. What are the numbers? Algebra Number Trick

- Select any number above 2 - Double it - Subtract 3 - Double again - Add 2

- Divide by 4

Now try your end number and work backwards. What number do you

predict you will get? Time Miss Snelgrove leaves home on her bike at 6:45 a.m. and arrives at school at

7:51 a.m.

a) How long did it take her to get to school?

b) Show the time she left her house on the clock.

c) After school at 3:45 p.m., when it is time to ride

home, what time is it in 24 hour time?

Show your work!

Number Sense Aircraft Carrier An aircraft carrier carrying 2 helicopters has a total mass of 439 824 kg.

The first helicopter has a mass of 128 915 kg. The aircraft carrier has a mass

of 247 651 kg. What is the mass of the second helicopter?

When you have solved it one way, try it another way.

Triangles a) Construct a triangle that has:

a 40 0 angle, a 70 0 angle and a side that is 10 cm long.

b) Measure and label all sides and angles. How do you know that

your angles are correct?

c) What kind of triangle have you made?

Algebra 1) 6 x 4 = 12 x ______

What number relationships does the above equation show?

2) X + 5 = 8 or ______ + 5 = 8

What does the ‘x‛ and the box represent?

3) Common Equations or Formulas

V = L x W x H

What do the letters in the above equation represent?

a) Solve for V if:

L= 2

W = 3

H = 4

b) If V = 36

L = 2

W = 3

What is the value of H?

4) 5 x ______ + 2 = 27

Data Management Math Marks Miss Snelgrove has the math marks of 26 students: 54, 55, 58, 61, 63, 65, 66, 67, 68, 71, 72, 73, 73, 74, 75, 76, 77, 78, 79, 81, 83, 86, 87, 88, 91, 95. There are too many pieces of data to graph each mark separately. a) First, group the marks into appropriate intervals. b) Create a bar graph to show the data c) Use a stem and leaf plot to show the data. d) find mean, median and mode of the data Elapsed Time Tony and Teena work at the museum. The museum is 18 km away. Tony leaves

home and starts walking to work at 5:30. He walks 4 km every hour. Teena

leaves home and starts riding her bike to work at 7:30. She cycles 12 km

every hour.

a) If the museum opens at 9:00, will Tony and Teena be on time? Explain.

b) When does Teena overtake Tony? How far have they travelled?

Geometry - Triangles a) Construct a triangle with:

cab = 6 cm

<abc = 60˚

<cab = 30˚

How long are the other 2 sides?

What is the other angle? How do you know?

b) Construct triangle MNP.

The length of MN is 4.5 cm.

The measure of <M is 40 0 .

The length of MP is 3.7 cm Place Value - SJAM Election

SJAM recently held their student council elections. Four students ran for Prime Minister of SJAM. The vote results were: Clark Kent 528 Selina Kyle 313 Bruce Wayne 225 Lois Lane 499

1. Round each amount to estimate the total number of votes 2. Exactly how many students voted? Write this number in expanded form

and in words. 3. SJAM has 1600 students. How many students did not vote? 4. One class with 31 students was away on a field trip and didn‛t get to

vote. Could their votes have changed the results of the election if they were at school on voting day?

Data Management Shoe Sizes Determine the most common shoe size in our class. Create an appropriate graph for your data. What is the range of the data? Find the mean, median and mode. How would you determine the most common shoe size in Ontario for your age group? How would you use this information (purpose)? Is this discrete or continuous data?

4.5, 0.5, 4, 4, 5, 2, 4.5, 6, 5, 4.5, 4, 3, 3.5, 3.5, 6.5, 3, 3.5, 4, 4, 3.5, 6, 4.5, 5,

Measurement - Time

Homework!

Allan started his homework at 7:15 p.m. and finished at 8:50 p.m. Natalie

started her homework at 6:50 p.m. and finished at 8:10 p.m.

a) Draw the hands on the clock when Natalie started her

homework.

b) Whose homework took longer to complete? By how

much?

c) Using 24 hour time, what time did Allan finish his homework?

Show your work!

Geometry

Construct the following triangles. Be sure to label them.

a) Construct a right angled triangle with:

side ab = 5 cm and ac = 3cm

(from a to b is 5 cm) (from a to c is 3 cm)

b) Construct an acute triangle with:

side ab = 6 cm and <abc = 30˚

Place Value

2014 Provincial Election

In the 2014 Provincial Election, the riding of Kitchener-Waterloo had

59 263 ballots cast (made). Here is a list of the ballots cast for the top four

parties:

Tracey Weiler - Conservative 14 450

Jamie Burton - Liberal 16 534

Catherine Fife - NDP 20 536 Stacey Danckert - Green Party 2 859 a) How many votes were cast for these four candidates in total ? Write this answer in expanded form and in words. b) How many other ballots were cast? c) If 4 024 ballots were rejected (marked incorrectly), could the results have been different if they had been marked properly? Explain your thinking. Data Management Assignment

1) Considering our discussion and the examples we went over in class, you are to choose something that you would like to chart or track, daily over the next few weeks. 2) The data for the topic you choose will be data that could change over time (continuous data) and will be in the form of some type of number (e.g., money, time, temperature)

4) Before Thursday, you need to confirm the following with Miss Snelgrove: a) What you will be tracking b) The purpose (What information do YOU hope to learn from collecting your data?) c) How exactly are you going to collect the data (personal experiments, accessing secondary data)?

Part B Each school day you will take a few minutes to collect your data for your chosen topic and record it in a chart starting on the BACK page of your Everything Book. It is up to you if you choose to collect data on weekends. e.g.

Date Sunrise Sunset

Oct. 1 7:28 18:53

Oct. 2 7:29 18:54

Oct 3

Part C

f. Create an appropriate graph for your data.

g. What is the range of the data?

h. Find the mean, median and mode.

i. What type of data have you collected (primary or

secondary; discrete or continuous)? How do you know?

j. What conclusions can you make from you data?

Time Getting Ready for School If you wake up at 7:30 a.m., and it takes you 10 minutes to eat your

breakfast, 5 minutes to brush your teeth, 25 minutes to wash and get

dressed, 5 minutes to get your backpack ready, and 20 minutes to get to

school, will you be at school by 9:00 a.m.? 2D Geometry 1) With your partner, discuss and record everything you know about

2-dimensional geometry and angles. Be prepared to share your findings with

the class.

2) Use a protractor, a ruler, and a pencil to construct a scalene triangle with a

30° angle and a side measuring 12 cm. Label your triangle and explain the

steps you used. Place Value Solve the riddle below, showing your work. Then write a cheque to Miss Snelgrove for the amount of the answer you found. My hundred thousand‛s digit is 3 times my thousand‛s digit. My hundred‛s digit is twice my thousand‛s digit. My one‛s, ten‛s and ten thousand‛s digits are all the same. The sum of my digits is 18. What number am I?

Measurement - Time You are traveling from Toronto to Montreal by train. If the train departs Toronto at 11:30 a.m. and arrives in Montreal at 4:56 p.m., how long will you be on the train? Using a 24 hour clock, what time did you arrive in Montreal? Data Management 1) Write a survey question that you will ask classmates. Explain how you will use the information you gather from this question.

____________________________________________ ____________________________________________ 2) Survey classmates to gather your data.

3) Create an appropriate graph of your data on the graph paper provided.

Explain why you chose this type of graph. _____________________ ________________________________________________________________________________________ 4) What type of data did you gather (primary or secondary and discrete or continuous)?

____________________________________________ How do you know?

____________________________________________ ____________________________________________ 5) If you wanted to collect data for your question from grade 5 students in all of Ontario,

how would go about gathering your data? __________________ ____________________________________________ ____________________________________________ 6) What conclusions can you draw (make) from the data in your graph?

____________________________________________ ____________________________________________ ____________________________________________

Place Value "Johnson Sports Store" The Johnson Sports Store sells baseball bats to baseball leagues in Canada. The bats are sold as singles (1), in bundles (10) and in canisters (100). Work with your partner to fill the orders for the bats. Create an order form for each league indicating the most efficient amounts to ship the bats. Write your amounts in standard form (number), expanded form and words.

Dundas League Aurora League Belfield League Tigers 50 bats Bumblebees 6 bats Blue Jays 16 bats Pandas 64 bats Bears 25 bats Cheetahs 32 bats Lions 16 bats Cubs 29 bats Taranchulas 14 bats Cardinals 55 bats Gorillas 50 bats