Grade4
June 11-15
Grade 5
June 11-15
Suppose Iqbal gets a chance to visit our province’s capital – Toronto. He wants to see the CN tower, Casa Loma and Canada’s Wonderland. In how many different orders could he see those sites?
Charlotte has 4 hair barrettes: red, pink, white and yellow.
She has 3 ponytail elastic bands: red, blue, and black.
Charlotte takes a barrette and a ponytail elastic band, without looking.
What is the probability Charlotte picks a red barrette and a red elastic band?
June 4-8
June 4-8
Design a spinner with 6 sections. Three for ‘dog’, two are for ‘cat’ and one is for ‘fish’.
What are the possible outcomes when this spinner is spun?
What is the probability of each outcome?
May 28-31
Iqbal and Fatima had each gathered a bag of 20 marbles. In their bags they only have black and white marbles. Iqbal has an equal number of both. One fourth of Fatima’s bag has black marbles.
Suppose Iqbal and Fatima conducted an experiment and took turns pulling marbles from their bags 40 times each. Predict the number of times each of them would pick a white marble. Explain your thinking.
May 22-25
Once Iqbal was freed he was given $100. He bought a kite for $10.75 and a nice new shirt for $15.50. How much did he spend and how much does he have left? What is one other thing you think he might do with his money?
May 14-18
Iqbal tossed one of his coins 20 times. Heads turned up 12 times.
May 28-31
Iqbal, Fatima and some other friends decided to create a game one night. Instead of dice they created a spinner. The spinner had three colours; green, blue and red. Green is more likely than blue and blue is more likely than red.
Please create the spinner and include fractions that represent the probability of landing on each colour.
May 22-25
Fatima says the quotient of 54.81 divided by 9 is 60.9. Is she correct? How do you know?
May 14-18
Karim does a lot of work supervising the children and reporting to Hussain and the Mistress. He estimates he walks 17.5km in one week. How far does Karim walk in one day?
May 7-11
It took Iqbal 14.8 seconds to break free from Hussains compound. He was shocked because he thought it would take him 15.6 seconds. By how much did Iqbal beat his estimation?
May 7-11
Iqbal shared a secret stash of 24 coins with Fatima. Each coin was worth $1. He gave ¼ of the coins to Fatima. How much money does Fatima get? How much money does Iqbal have left? What do you think Fatima is going to do with the money?
April 30-May 4
Fatima was remembering a happier time when she helped her father make chapatis by the dozen. A chapati is a roti (bread) made of whole wheat flour and cooked on a flat skillet. Fatima’s family ate 2 1/3 dozen chapatis. How many chapatis did they eat?
April 23-27
Hector bought 16 pies at the pie shop. One-half of them were apple pies. One-fourth of them were blueberry pies. How many pies were not apple or blueberry?
April 16-20
You’ve recently been contracted by a local charity to create a new logo for their company. They said you could create a tiling pattern or tessellation. The most important factor for them is that you provide instructions on how to create the pattern. The pattern should be one that contains a translation, rotation and reflection. To use your creative genius was the last instruction. (If you need a hint, they
said to think of an argyle sweater).
April 10-13
You have to get the POTW in class this week...please look in the bin.
April 2-5
Write a story problem that can be solved using 78 divided by 6. Solve the problem and show your work.
Mar. 26 - Mar. 30
Ethan takes 2 apples to school each day for his snack. He has 15 apples. How many days can Ethan take his snack to school?
Mar. 19-23
Charlotte mentioned that she liked the numbers 56 and 8. She also said that just by using those numbers she could write a division question, POTW style. What might be her POTW question and answer to her problem?
* Please use the words, your, you’re, our, hour, are* in your question and answer.
Mar 5. -9
A camera manufacturer approached a group of grade 4/5 students to create boxes for their new Summertime Soak Proof Camera. The manufacturer split the class into groups and asked them to create a box that can hold the camera and all its supplies.
The individual boxed cameras will then be shipped to distribution outlets in a larger box that has a volume of 25 000 cubic centimeters.
Even though every group created a reasonable box that could hold the camera and its supplies, at the end of the project, the camera manufacturer had to choose between two groups.
Group A created a box with a volume of 500 cubic centimeters.
Group B created a box with a volume of 1000 cubic centimeters.
Please explain which box the camera manufacturer should choose and why it was the right decision.
**(In your response please include and underline the words OUR and ARE)**
Feb. 27-Mar.2
Hana is making Tropical Fruit Punch to serve at a party she is hosting to celebrate the March birthdays of Chloe and Isabella. This recipe will make 1 glass of punch for each guest. How many guests do you think will be at the party? Why?
How many milliliters of punch does this recipe make? Which ingredient do you use the most of? Which do you use the least of?
Please rewrite the recipe to make a double batch of this Tropical Fruit Punch so even more people can enjoy the drink at Hana’s next party.
The child workers under Hussain Kahn sat around an octagonal table (regular octagon) to eat some special food. They all thought that some foreigners must be arriving to by some carpets because that is the only time ‘special’ things happen. The table has a side length of 0.67 m. What is the perimeter of the table in metres? What do you think the children were talking about as they ate?
April 30 - May 4
Fatima and Ali each have the same length of ribbon. Fatima cut her ribbon into eighths. Ali cut her ribbon into twelfths. Fatima used 6 pieces and Ali used 8. Who used the most ribbon? How did you find out? What do you think the ribbon is being used for?
(*if you need a hint ask Mr. Sternberg)
April 23-27
Chloe, Madeleine, Dan and Avery each ordered a large pizza.
Each pizza was cut into slices of equal size.
Chloe’s pizza had 6 slices. Madeleine’s had 8. Dan had 10 and Avery’s had 12.
Each student ate his or her own pizza.
Chloe ate 3 slices, Madeleine ate 4, Dan ate 5 and Avery ate 6.
Avery says he ate the most because he ate 6 pieces.
Madeleine says everyone ate the same amount.
Who is correct? Use pictures, numbers and words to explain.
April 16-20
You’ve recently been contracted by a local charity to create a new logo for their company. They said you could create a tiling pattern or tessellation. The most important factor for them is that you provide instructions on how to create the pattern. The pattern should be one that contains a translation, rotation and reflection. To use your creative genius was the last instruction. (If you need a hint, they said to think of an argyle sweater).
April 10-13
You have to get the POTW in class this week...please look in the bin.
April 2-5
Write a division problem that can be solved by dividing a 4-digit number by a 1-digit number. Trade problems with a classmate and solve your classmate’s problem.
Mar. 26 - 30
Madeleine estimated 34954
She wrote these statements:
- the quotient is between 800 and 900
- the quotient is greater than 850
How might Madeleine have made her estimates?
Mar. 19-23
Bennett mentioned that he liked the numbers 7 and 63. He also said that just by using those numbers he could write a division question, POTW style. What might be his POTW question and answer to his problem?
* Please use the words, your, you’re, our, hour, are and quotient* in your question and answer.
Mar. 5 - 9
Recipe for Tropical Fruit Punch:
500 mL orange juice
500 mL pineapple juice
75 mL lemon juice
100 mL grenadine syrup
2 L ginger ale
A camera manufacturer approached a group of grade 4/5 students to create boxes for their new Summertime Soak Proof Camera. The manufacturer split the class into groups and asked them to create a box that can hold the camera and all its supplies.
The individual boxed cameras will then be shipped to distribution outlets in a larger box that has a volume of 25 000 cubic centimeters.
Even though every group created a reasonable box that could hold the camera and its supplies, at the end of the project, the camera manufacturer had to choose between two groups.
Group A created a box with a volume of 500 cubic centimeters.
Group B created a box with a volume of 1000 cubic centimeters.
Please explain which box the camera manufacturer should choose and why it was the right decision.
**(In your response please include and underline the words OUR and ARE)**
Feb. 27-Mar 2
Feb. 21-24
Dexter is making pudding. The recipe calls for 500mL of milk. He has a 1 L carton of milk. How much mild will be left over?
Feb. 13-16
This table shows the time, in minutes, lights are on in rooms of a home during a day:
Kielen brought two containers to school. Describe how you would compare the capacities of the two containers. You can use words and pictures to explain.
Feb. 21-24
Chloe’s recipe for chicken potpie calls for 750 mL of broth. Chloe is making a triple batch of potpie. How much broth will she use? Give your answer in milliliters and litres.
Room
kitchen
bedroom
bathroom
living room
porch
Time (minutes)
210
90
75
300
240
Feb. 13-16
A group fitness test showed the number of pushups some people in Room 215 could do in 1 minute.
30, 45, 25, 18, 15, 35, 27, 34, 26, 32, 43, 39, 29,
31, 43, 44, 26, 16, 20, 40, 44, 22, 27, 30, 36, 37
Choose a suitable graph to display the data. Remember last week's POTW)
Explain your choice.
Please use the words NO, NOW, KNOW somewhere in your response.
Use grid-paper to draw a bar graph and display the data.
Write two things you can tell from the graph.
Please use the words NO, NOW, KNOW somewhere in your response.
Feb. 6-Feb. 10
The number of wins is shown for 4 Major League Baseball Teams.
a) Draw a bar graph to show the number of wins. For the scale count by 5s.
b) Write two things you know from looking at your graph.
c) Please somehow use the words NO, NOW, KNOW in your problem solving response.
Jan. 29 - Feb. 3
Suppose the area of a rectangular carrot garden is 5square metres. What is the perimeter?
Overnight a 2m by 2m part of the garden was eaten. What area of the garden still has carrots growing in it?
POTW FORMAT
*If you need a hard copy please ask your teacher.*
1. The Important Details
- Read and reread all of the given information and instructions to ensure understanding
- (e.g., identify key information needed to solve the problem).
- You can Highlight OR Use Jot Notes OR do both.
2. Show Your Work
1. Communicate mathematical learning by combining various representations / strategies.
· (e.g., words with diagrams, charts or graphs with verbal descriptions, tables, guessing and checking, logical thinking etc.)
2. Respond clearly with sufficient detail so that their thinking can be understood
· (e.g., Wrap up your work with a final statement that clearly provides an answer to the question being asked.)
3. Show Your Thinking - Justify
- Show your work another way.
OR
- How would you show the steps to your solution so someone else can follow your thinking?
OR
- Be more specific and give more details.
OR
- Express your work in a different way.
Original POTW Guidelines to success
(these are the steps you need to follow for every POTW - also don't forget the date):
1. Retell:
2. Choose a Strategy:
3. Work:
4. Proof:
5. Final Answer
Conclude your solution with a final wrap up sentence
Feb. 6 - Feb. 10
Heights of Grade 5 Students
The students in a Grade 5 class recorded their heights in centimeters:
136, 138, 138, 139, 139, 140, 140, 140, 141, 141, 141, 142, 143, 143, 143, 144, 144, 145, 146, 147, 147, 148, 149, 151, 153, 157, 158, 158, 160
Mr. Sternberg then asked them to display the data in a bar graph. Simon was fine with that but had one question, “Should we create a table and arrange the data into intervals first”? Mr. Sternberg said yes and then gave the students some time to work on displaying their information.
After a few minutes Mr. Sternberg remembered one more thing and said to the class, “Mathematicians, could you please include 2 things you can learn from your graph.”
Jan. 30 - Feb. 3
River was working to create a 3m by 4m garden. His Project leader asked him to double the length – what happens to the area when the length is doubled?
For comparison, the project leader also wanted to know what would happen to the area if both the length and width were doubled.
Jan. 23-26
Madeleine’s rectangular housing unit for her tigers is 7 times as long as it is wide. The perimeter of the housing unit is 128 m. What are the dimensions of Madeleine’s tiger housing unit? What is the area of her housing unit?
**Within your problem please use the words WHERE, WERE, WENT.
Jan. 16-Jan. 20
You have been hired by the organizers of “Save China Tigers” to create a temporary rectangular housing unit for the tigers. What will be the dimensions of your housing unit? What is the perimeter of the unit?
Reminders:
(Make sure your units make sense, please explain why.)
(Please use the words THERE, THEIR, THEY’RE in your response and underline them.)
Jan. 9-13
Individually created double digit times double digit question using both the words 'a' and 'an'.
Dec. 12 - 16
If 87 different people brought in $59 each to adopt a tiger from South China, how much money would that be in total? If adopting one tiger costs $40 for one year, how many tigers could be adopted for that one year?
Dec. 5-8
If 12 classes across the Toronto District School Board raised 84 pieces of non-perishable food each, how many pieces in total were raised?
Nov. 28-Dec. 2
Leni challenged Chloe to make a 3-Dimensional Figure. She asked Chloe to create the figure to the left that has the most edges?
Which Figure did she create?
Please draw a ‘net’ for that figure.
Then actually create the figure.
What are some of the challenges faced when drawing a net and then trying to create the shape?
Nov. 21-25
Avery is excited for his birthday coming up in December. While looking for books on citizenship in the back of his closet, he found a present already wrapped. It had 6 faces and 8 vertices. It also had 12 edges that were all equal in length. What is the shape of the present? Please draw at least 3‘Nets’ for the present.
Nov. 14-17
In math class, Asher creates a regular triangle. If he were to double the side lengths of the triangle, would each angle still be the same size? Why or why not?
(You will have to do some research on what a regular triangle is)
Nov. 7 - Nov. 11
Grade 5s
Emilie is creating her brochure for her citizenship project. On one page of her brochure, she only has enough room to put a picture that is cut out in a shape that has three acute angles. Emilie also notices that she has to cut out the picture so that the shape has equal side lengths. What is Emilie’s shape? Could Emilie use dot paper to help her draw this shape? Why or why not?
** If you need dot paper, please see Ms. Waldon.**
Oct. 31- Nov. 4
Cien is leaving Hillcrest to go to another school, but before she does she wants to split up and share her eraser collection. When she places them in groups of 4, she has 3 left over. When she places them in groups of 5, she has 2 left over. She has more than 100 erasers, but fewer than 150 erasers. How many erasers might Cien have?
Oct. 24-28
Room 215 really loves to read. During their Reading Workshop classes there is lots of rich reading happening and also people are writing thoughts about their reading. During the Reading Conferences Mr. Sternberg has the chance to speak with each student about their reading. On one day he noticed that Emily read a book that was 3856 pages and Alyssa read a book that was 5248 pages. How many more pages did Alyssa’s book have than Emily’s book?
Oct. 17-21
Chloe decided to go on a hockey road trip with her family. They decided
that they would take a week off school and only travel to the city in which the Toronto Maple Leafs were playing. On Monday they travelled 1925 km to Dallas. On Wednesday they travelled 2831 km from Dallas to Vancouver. They left Vancouver on Saturday and travelled 4030 to Boston to watch the Leafs beat the Bruins. How many kilometers did they travel altogether?
Oct. 11-14
Members of Hillcrest’s football team raised $7000 over the Thanksgiving weekend. They plan to buy sports equipment for $3596 and library books for $3438. Did they raise enough money to make the purchases?
Oct.3 - 7
While working with Mr. Devereux some students thought they would try to stump him with a number question. Bennett and Simon decided to write a 6-digit number. One digit was 0. The other digits were odd. No two digits were the same. The number was the greatest number they could write with these digits. They then asked Mr. Devereux what the number was - what number did Bennett and Simon write?
Sept. 26-30
Hillcrest has a plant sale to raise money for a local charity. Each plant costs $3 for Hillcrest to buy. Then each plant is sold for $10. How many plants have to be sold to give the charity $350?
Sept.19-23
Hillcrest Ice-Cream Company sells a single-scoop sundae for $1.25.
There is a fixed price of $0.50 for extra topping on all sundaes. What is the price of a 6-scoop sundae with extra topping?
Sept. 12-16
The sunflower is the only single flower that grows as high as 3m. It can grow 30cm each week. In which week could a sunflower reach a height of 3m?
(Reminder: cm = centimeters and m = metres)
(How many centimeters in a metre?)
June 20 - 24
Nat tossed a coin 20 times. Heads turned up 12 times.
June 13-17
a) How many times did tails turn up?
b) Are these results what you would expect? Explain.
c) Nat tosses the coin 100 times.
What would you expect the results to be? Explain.
Eleni and Barbara have a spinner each. They play this game:
- each player spins her pointer
- if the pointers land on the same colour, Eleni scores a point
- If the pointers land on different colours Barbara scores a point
June 6-10
John enjoyed a nice big barbeque with friends and family on the weekend at his aunt’s house. He noticed something, though different about her backyard – the fence. It turns out that she enclosed her patio with 40m of fence. John figured out that the width of his aunt’s rectangular patio was 2m. What was the length? What is the area of this enclosed patio? Remember; explain how you know.
May 30-June 3
Kyrstyn and Amy are going to do some painting. They are going to paint a wall that is 6m long and 3m wide. There is one catch, though, a window. In the middle of the wall there is a nice big rectangular window that cannot be painted. The window is 1m long and 2m wide. What is the area that Kyrstyn and Amy have to paint? If one paint can covers 4 square metres, how many paint cans will the girls need?
May 24-27
Jeremy’s cottage has a backyard with an area of 128 square units. What could the dimensions (find the length and width) of his backyard be? Please select and justify the most appropriate unit (e.g. millimetre, centimetre, decimetre, metre, and kilometre).
May 16-19
The length of the school’s playground is 14units. The width of the playground is 4units. The students of Hillcrest are going to hold their track and field day on this playground. What is the perimeter of this playground? What area does the playground cover? Two other questions are, what could the units be measured in and why is area measured in square units? Please draw the playground.
May 9 - 13
Charlotte, Eleni, Barbara and Kai were going shopping. There were looking to buy some extra special pencils for math class. One store charges $4.20 a package of 4 pencils and another store $2.97 for a package of 3 of the same pencils. Which is the better buy?
May 2 - 6
Ben received a $50 bill for his birthday. He bought two things. The first item cost $29.95 and the second cost $9.29. What do you think he bought? How much of the $50 did he have left?
April 26-29
Ben bought a piece of ribbon 4.9m long. He cut it into 2 pieces. What lengths could the 2 pieces be? What did he need the ribbon for?
April 18-21
Zev, Nic V.T., James Michael and Jayden each ordered a large pizza.
Each pizza was cut into slices of equal size.
Zev’s pizza had 6 slices, Nic’s had 8, James Michael’s had 10 and Jayden’s had 12.
Each student ate his own pizza.
Zev ate 3 slices, Nic ate 4 slices, James Michael ate 5 slices and Jayden ate 6.
Jayden says he ate the most because he ate 6 pieces.
Zev says everyone ate the same amount.
Who is correct? Use pictures, numbers and words to explain.
April 11-15
Amy said that 8.40 is greater than 8.4 because 40 is greater than 4. Was Amy correct? Use words, pictures, or numbers to explain.
April 4-8
On a rainy Monday some grade 5 math students were playing a game with dice involving even and odd numbers. Isabella rolled a number cube 100 times, and 54 of those times an even number came up. Represent the number of odd rolls as a fraction, a decimal, and show it on a 10 x 10 grid.
Mar. 28-April 1
Please see Ms. Basinski to get this week's problem. It is another Transformational Geometry question.
Mar. 21-25
Please see Ms. Basinski to get this week's problem.
Mar. 7-11
There were seven grade 5 math students getting ready to plan a trip for the March Break. They were going to Winnipeg to work with, and along side a homeless shelter in building a new shelter for homeless children. All the students were very excited. Most of their excitement came from the amount of money they were bringing to donate to the shelter. The amount was 6321 dollars. Each person donated the same amount. How much did each person contribute?
Feb. 28th - Mar. 4th
There were six grade 5 math students stranded on an island without a calculator, limited supplies and limited food. One of the students decided to take a walk and explore and came across a strawberry patch. The student found 4817 strawberries. If the strawberries were divided equally among the students, how many did each student get? How many were left over? Who were the students?
Feb. 22nd - 25th
Toni and her family went to Montreal over the weekend. Since Montreal is known for its tasty bagels, they decided to bring some back to Toronto and share them with their friends. Toni has 72 bagels herself and is packaging those bagels into bags. If each bag contains 6 bagels, how many bags does Toni need?
Feb. 14 - 17th
Charlotte wanted to make cupcakes for her school for Valentine's Day. There are 600 students in the school and Charlotte wanted to make 1 cupcake for each student. She can bake 12 cupcakes at a time. How many batches of cupcakes will she need to make?
Feb. 7 - 11th
Please construct Triangle PQR. Angle P is 70 degrees. Side PQ is 3.5 cm. Angle Q is 70 degrees. When Eleanor found out this was the POTW question she then wondered whether or not the triangle will be regular or irregular. Please construct the triangle and explain whether it is regular or irregular.
Jan 31 - Feb. 4
Mackenzie was showing off her new Writer’s Notebook. Amy and she both liked the triangular shape of the book. Since they were studying Geometry in Math Class they noticed the angles of the book. They noticed that there are two acute angles and one right angle. Keeping in mind that the angles in a triangle add up to 180 degrees, what could be the actual angle measurements of the Notebook? Please draw the notebook.
Jan. 24-Jan. 28
After the holidays John and Alex were talking about some gifts they would like to donate to our kindergarten reading buddies. As it turned out, they both wanted to donate a sticker book. John has a book of stickers that is 25 pages. On each page he has 36 stickers. Alex also has a book of sticker. He only has 9 pages, but there are 98 stickers on each page. Regardless of size, who has more stickers? How many more?
Jan17-Jan20
Caitlin and Isabella decided to redecorate their bedrooms. They split a big package of multi-coloured squares. Caitlin tiled one of her walls with 27 rows that had 27 squares in each row. Isabella tiled one of her walls with 26 rows that had 29 squares in each row. Whose wall has more tiles? How many more?
Jan 10-14
Multiplying with multiples of 10. Eleni and Maylat went on a nature hike with their families. As they were hiking the trails both Eleni and Maylat saw this thing zoom by – it was a ruby-throated humming bird. It looked like it was zooming because this bird flaps its wings about 60 times each second. How many times would it flap its wing in one minute?
Jan. 3-7
Nat’s New Year resolution was to start training for a half marathon he is going to run next January. To begin his training he decided to run 8 kilometers a day. How many kilometers would he then run in one week?
Dec. 13-17
Room 213 and 215 decided to get in the spirit of giving for the holidays, so they initiated a food drive. On December 17th, once the drive was over, both classes realized how
successful they were with the food drive. Room 213 raised 3620 pieces of non-perishable food for the holidays. Room 215 raised 2147 pieces of non-perishable food for the holiday food drive. Way to go grade 4/5 students. How many more pieces of food did Room 213 raise than Room 215?
Dec. 6 - Dec. 10
While working with Mr. Devereux some students thought they would try to stump him with a number question. Jayden and Nikky decided to write a 6-digit number. One digit was 0. The other digits were odd. No two digits were the same. The number was the greatest number they could write with these digits. They then asked Mr. Devereux what the number was - what number did Nikky and Jayden write?
Nov. 29 - Dec. 3
Lindsey bought some small boxes of chocolate for Ms. Bain. The volume of a small box was 10cm³. Ms. Bain was going to put all the small boxes of chocolate in one big box that had a volume of 200cm³. How many boxes of chocolate would Lindsey have to give Ms. Bain so the big box gets completely full?
Nov. 22 - Nov. 26
Isabella is making a big batch of smoothies for the whole class but the recipe she’s using only calls for 600 mL of milk, and that just won’t be enough for everyone! Isabella decides to make a triple batch of smoothies just to be safe. How much milk will she use? Give your answers in millilitres and litres.
Karina's new dog Nov-15-18
Karina has recently adopted a new puppy from the animal shelter down the road. She has saved $100 to spend on dog food. Each bag of food costs $32.79. How many bags of dog food can she buy? How much change will she get? Make sure to show your work.
Trip to Montreal Nov-8-12
Nat and Ben were on their way to Montreal by train. The train they were on travels 75 km every hour. Create a table to show how far the train would travel in 5 hours. Suppose their trip is a total of 600 km. How long will it take them to make the trip?
Using Patterns to solve problems Nov. 1-5
Barbara read 70 pages on Monday, 67 pages on Tuesday and 64 pages on Wednesday. This pattern continued until Barbara finished the book. Make a table to show how many pages were read in the first seven days and then determine the total number of pages Barbara read in the first seven days?
Pattern Rules Oct 25-29
Kyrstyn was wondering if the class could figure out a math challenge given to her by her older brother. Her brother gave her this pattern 98, 85, 87, 74, 76 and challenged her to write the next 4 terms and the pattern rule. Can you please do the work for Kyrstan? pretty please?
Tomato Plant Oct18-22
During the summer Theadora decided to plant some tomato plants. Then she decided to chart the growth of one of her tomato plants, the one she thought might grow the highest because of the rich soil. The table below shows the growth of Theadora’s plant.
Draw Theadora’s line graph and explain what the line on the graph shows. Also, write 2 things you know from the graph.
8 Birds Oct 12-15
Over the long weekend there were some new additions to Zev’s family – some birds. He now has 8 wonderful whistling birds that help him practice the recorder. Their mean age is 10. The mode of their ages is 6. What might their ages be?
Heights of Grade 5 Students Oct 4 - Oct 8
The students in a Grade 5 class recorded their heights in centimeters:
136, 138, 138, 139, 139, 140, 140, 140, 141, 141, 141, 142, 143, 143, 143, 144, 144, 145, 146, 147, 147, 148, 149, 151, 153, 157, 158, 158, 160
Mr. Sternberg then asked them to display the data in a bar graph. Murley was fine with that but had one question, “Should we create a table and arrange the data into intervals first”? Mr. Sternberg said yes and then gave the students some time to work on displaying their information.
After a few minutes Mr. Sternberg remembered one more thing and said to the class, “Mathematicians, could you please include 2 things you can learn from your graph.”
POTW
FORMAT
*If you need a hard copy please ask your teacher.*
1. The Important Details
- Read and reread all of the given information and instructions to ensure understanding
- (e.g., identify key information needed to solve the problem).
- You can Highlight OR Use Jot Notes OR do both.
2. Show Your Work
1. Communicate mathematical learning by combining various representations / strategies.
· (e.g., words with diagrams, charts or graphs with verbal descriptions, tables, guessing and checking, logical thinking etc.)
2. Respond clearly with sufficient detail so that their thinking can be understood
· (e.g., Wrap up your work with a final statement that clearly provides an answer to the question being asked.)
3. Show Your Thinking - Justify
- Show your work another way.
OR
- How would you show the steps to your solution so someone else can follow your thinking?
OR
- Be more specific and give more details.
OR
- Express your work in a different way.
Original POTW Guidelines to success
(these are the steps you need to follow for every POTW - also don't forget the date):
1. Retell:
2. Choose a Strategy:
3. Work:
4. Proof:
5. Final Answer
Conclude your solution with a final wrap up sentence