Place value turned into art in our classroom recently. Students have been hard at work creating interesting collages using different sized circles to represent different place values. The bigger the circle, the bigger the place value.
Students learned about scale and how overlapping creates visual depth. We looked at 2 different works of art (seen below) and compared them. How were they similar? What did we see? Which circles appear in the front? Back? Why did the artist put some circles in front of others?
Lita Albuquerque, 2006
Students represented numbers in the thousands. They used various types of paper such as sandpaper, foil, newspaper, coloured paper, bumpy paper, smooth paper, paper with print, and several students used buttons to represent the ones or units.
Have a look at the process and the final products!
Representing numbers is our main focus at the moment in Math. Mrs. Sullivan is asking us to show numbers in 4 different ways:
Draw a picture
Write the number in words
Expand the number
Write it in standard form
We use Base Ten blocks to model numbers. In the pictures below, you can see some of our students playing a game called Race to a Flat.
In Gr.3 we are expected to know up to the THOUSANDS place value but we know that numbers can be much larger, of course. We continue to practice how to read, write, and represent numbers up to this place. It can sometimes be tricky, especially when zeros are involved such as in the number 1045.
At home, students are encouraged to challenge themselves to represent numbers in different ways! Roll a dice 4 times and create a number–expand it, write it in words, draw it.
What are we up to you ask?The learning never ends in Room 124. We are building catapults, writing poetry, and rolling dice while we learn about probability.
Below you can see that students are working in partners or trios to design and build a catapult that must launch a marshmallow over a ‘wall’. They’ve put their thinking caps on and are busy gluing, sticking, and testing their designs. Good luck! (Thanks to Mrs. Bernardo for the pictures).
I’ve been blown away by the level of creative thinking by many students in our poetry unit so far. The vocabulary and ‘thinking outside the box’ is outstanding. We will be sure to share with you several of our poems. The students LOVE to share their poems with the class and are eager to keep writing…even into lunch hour! Woah. You can see us below writing a poem in a small group based on a regular, every day object that Mrs. Sullivan gave to us. Some of the objects included scissors, an orange cone, and a clipboard.
We were off to the races today playing a Horse Race game involving rolling a pair of dice and moving our ‘horse’ one space if the dice showed our horse’s number. If we were horse #5, then whenever someone threw a 5, we were allowed to move forward one space. Whomever crossed the finish line first was the winner. Some of us thought our horses were ‘cursed’ or that it was unlucky for some strange reason. Tomorrow we will discuss why certain horses were winning more than others. I have a feeling math has something to do with it!
Probability is all around us! On Friday, we discussed the common game Rock, Paper, Scissors and how it is linked with math. What are the chances your partner will throw a ROCK? What are the chances your partner will throw PAPER? What about SCISSORS?
After pairs of students played 20 rounds of the game and recorded each of the outcomes as a fraction, we analyzed the results. What did the results say about our partner? There was some interesting sharing of information. For example, one student used “Rock” 18/20 times and admitted this was because he thought he had a better chance of winning if he used it.
We looked at the different ways you could win and discovered you actually had an EQUAL CHANCE of winning if you used ANY of the ‘symbols’ in the game. However, if you know your partner typically uses one type of symbol over the others, perhaps your chances of winning increase because you can use that against him or her.
Rock–paper covers it
Paper–scissors cut it
Scissors–rock crushes it
When you play Rock, Paper, Scissors, do you use the symbols randomly or do you typically use one or two symbols more than another? Does it depend on who you’re playing with?
Parents–if you’re interested, here is an interesting article from the BBC about the psychology behind the game
What is probability, anyways? We brainstormed together on Monday and came up with a whole array of vocabulary and ways in which we use probability in our every day lives.
Here are some of our ideas:
equal chance (50/50)
weather forecast (What’s the chance it will rain today?)
gambling/playing the lottery
Can you think of more ideas where we see or use probability in our lives?
Probability is the chance of something happening. We’ve learned about what are events that are certain (100% chance they will happen) and events that are impossible (no chance it will happen) and events that fall in between (likely, unlikely, equal chance).
For instance, what’s the chance you will eat dinner tonight? What’s the chance that you will be in grade 4 next year? What’s the chance it will snow tomorrow? What’s the chance Mrs. Sullivan will come to school tomorrow with blue hair? (hmmm….)
We looked at a number line and shared ideas of where different events would fall on the number line.
We love playing the game of SKUNK because we get to apply the game of chance and have fun at the same time! What? Math can be fun?
Have a look at us working hard today with spinners!
As we wrap up our unit on Measurement, it is interesting to be reminded of the fact that there seems to be only 3 countries in the world that have not adopted the metric system. These include the US, Myanmar, and Liberia.
I think it’s time these countries get on board. What do you think?
I’ve been very impressed with how far we’ve come as a class in terms of our confidence in telling the time (analog). Our grade 4s have been using number lines to also calculate elapsed time. Great job everyone! Perimeter (the distance around an object) and Area (the amount of 2D space occupied by an object) have also been topics we’ve been exploring using square tiles, geoboards, and grid paper. Below, you can see students busy putting their measurement knowledge into practice.
If you play this video to the very end, you increase your chances of never forgetting what perimeter is and how to find it!
Ok…so this is a few days late, but today we give a special shout out to our very first silver certificate winner….
Elliott! She has earned the first silver certificate in the class by earning a total of 5 bronze certificates. Elliott works hard to practice regularly and earns points for every correct answer. Let’s giver her a round of applause!
Today was Shrove Tuesday, also known as Pancake Tuesday or Mardi Gras. Shrove Tuesday always falls on the day before Ash Wednesday when Lent begins. It comes from the old custom of using up all the fattening ingredients such as eggs, milk and oil in the pantry so that people were ready to fast during Lent. So, why not make pancakes with those ingredients? All classes in our school today celebrated by either making pancakes or having them provided. Thanks to all the parents who helped make this happen for our students! They were scrumptious.
In multiplication,we are learning not only about single digit multiplication as in 8×5, but also double-digit by single digit such as 45 x 3. We understand that multiplication is repeated addition and we’ve been learning how to represent the numbers using addition sentences as well as multiplication sentences.
5 x 4 = 20 or 4+4+4+4+4 = 20
In the pictures below we were building arrays using square tiles to represent a number, such as 20. We discovered that there are sometimes more than one way to build an array to represent a number.
For instance, we learned that 20 can be built in rows and columns as in:
1 x 20
2 x 10
4 x 5
Students will continue to build on this foundation in the upcoming grades as they learn about prime and composite numbers.
In our class, the students are asked to know their times tables up to the 9s…especially our grade 4s! However, I know many of our grade 3s are up for the challenge, too!