Tag Archives: math

Multiplying and Dividing Math

Over the last little while in math we have been working on multiplication. We first worked on strategies for multiplying single digits by single digits (e.g. 7×9). Last week, we worked a lot on various strategies for multiplying a 2-digit number by a 1-digit number (e.g. 34 x 6).

Many students today have not mastered memorizing multiplication facts, so until they do, they need some strategies to help.

We learned about many strategies including, but not limited to:
Multiplying is really repeated addition (3×6 is 6+6+6)
Multiplying is skip counting (6, 12, 18)
Stacking (what most of our moms and dads do when multiplying)
Decomposing (34 can be 30 AND 4)
Friendly TENS numbers (take away the zero, add the zero when multiplying by numbers like 40)
NEAR friendly numbers (e.g. when multiplying 39 x 7, do 40 x 7, then subtract one group of 7)
Doubling (if multiplying by 4, you can multiply by 2 first, then double it)
Finger trick for multiplying by 9
Array model

Today we began talking about division. We looked at this picture first to help us understand WHAT division is and how it is connected to multiplication.

You can help your child at home by practicing their multiplication facts until they know them by heart.

Also, help them see that division is about equal groups. We have 20 pieces of potato for dinner. If we give each of our 4 family members an equal amount, how many pieces will each person get?

Measurement

Great job Samah and many others on a perfect measurement exit card. These will be sent home next week.

Here we are measuring different body parts. Next week we will be graphing the data we collected. We’ll also practice converted some of our measurements from centimetres (cm) to millimeters (mm), decimetres (dm), and metres (m) which we’ve been practicing with our text book work for a little while now. We are finding it tricky when decimals come into play.

Math Test Questions

Here are some sample answers from our most recent math test. Hopefully this will help shed some light on the various strategies your child might be trying to use. Please sign and return the test if you haven’t already. I will send it home again promptly so you can use it to practice further if your wish. There will be more opportunities this term for the children to demonstrate their subtracting and problem solving skills. Your child can let me know on Monday if they feel they need to do a retest

Patterning in math

Our posts have been lacking…sorry.

We have been working on patterns. Over the course of many weeks, students have worked with number patterns. We have looked at growing and shrinking patterns, using addition, subtraction, multiplication and some division. We have also looked at input and output patterns in tables.

Recently, we have been working with geometric patterns. There are many hands on opportunities here.

Earlier in December and January we learned how to read and interpret pictographs, circle graphs (pie graphs), bar graphs, and double bar graphs.  We have learned to collect data and made our own graphs.  You can have your son or daughter log into the Hub. There you can connect to their email and should see results for our data management quiz.

Using Patterns and Mental Math to Multiply

On Thursday and today we looked at the patterns we can use to help us multiply with numbers that end in zero. Today we talked more about WHY these “add zero” tricks work.

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We did a “Number Talk” as well today. During our number talks we share different ways we get to answers using mental math (no calculators, no paper). Each number talk has a series of 3-5 questions that will help students link their thinking together as we work toward the questions with bigger numbers. ALL answer are accepted, as we learn from our mistakes. The goal of number talks is for students to learn other strategies of getting to an answer and to look for strategies that might be more efficient than one they used. Here is our train of thought and some of the strategies our students used…

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Calculating how much toxic waste is in Hamilton’s Randle Reef

Last week in math, we finally found the solution to a tough problem we have been working through in steps.

As a result of our inquiry on clean water, students have been asking about the Randle Reef project.

Check out our problem:

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Last week the students first calculated that the volume of our portable was 140 cubic meters.

We discovered that the toxic waste in the Randle Reef area of Hamilton Bay would fill 4964 portables like ours! YUCK!

This problem was great! We talked about linear measurement (metres), volume (cubic metres), the formula for volume, addition options, subtraction options, multiplication options, and division options. It has even opened the door to decimals and partial numbers which we’ll discuss further next week.

Many students are still using addition and subtraction when solving problems like this, but these big numbers are beginning to help them see why multiplication and division might be more efficient.

Of course with such large numbers, students are allowed to use a calculator once they understand which mathematical operation to use and understand how it will help them to solve the problem.

Math Quiz

 Mrs. Davies learned that Google Forms offers a great way to build tests and quizes. To try this out, students used the Chromebooks or iPads to complete a multiple choice quiz to get a quick snapshot of there understanding of some of the major concepts we’ve covered over the past little bit. It was great because the students received immediate feedback of how they scored.

UPDATE:

I was incorrect in thinking the test scores were released to their school issued Google Drive accounts. The results were sent to their school email accounts. Students have not yet used their email accounts this year. However if you ask your child to log onto “the HUB” at home.hwdsb.on.ca there is a button on the main screen that will take you to their email account.  There will be an email with a link to their quiz answers and results.

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 Ask your child how they did. Here are the questions they were asked:
1. What statement is correct?
a) 4286 is greater than 4231
b) 4286 is less than 4231
c) 2468 < 7863
d) both a and c
2. Which answer shows the numbers ordered from least to greatest?
8971, 3498, 982, 20
3498, 8971, 20, 982
20, 982, 3498, 8971
20, 982, 8971, 3498
3. What is the sum of 28 + 46? Show your thinking in your math notebook.
73
74
64
75
4. What is the difference of 63 – 37?
100
34
36
26
5. I have two containers of milk. One is 400mL and one is 600mL. How much milk do I have all together?
1000km
100mL
1L
1000L

Making Punch

We have been talking about volume and capacity for the last two weeks. Last week we worked through a very challenging problem. It was a lesson in perseverance. Many students were excited when they discovered how to get to the answer. There were many different strategies used and we learned a lot from each other.

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Sudents have been struggling with understanding what volume looks like. For example, would a tube of hand cream be 100mL or 1L. To give them a better sense of what different volumes look like, today we did some hands on math. We made punch! When looking to get the first ingredient, many students realized they had to make two trip to Mrs. Davies to get the Soda… Our collection containers were only 400mL and we needed 500mL.

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Reading and Rounding

Now that we have established everyone’s reading levels, we have begun guided reading. This week we are practicing how to problem solve and work independently when Mrs. Davies is unavailable because she is working with another group.

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In in our morning brain buzzers we have been reviewing how to round to the nearest ten. Tomorrow we will round to the nearest hundred.

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Note: If your child’s face is covered it is because I do not yet have your child’s media consent form.

Classroom Happenings up until Sept 26

In reading we have begun learning about a reading strategy system called CAFE.

C – Comprehension

A – Accuracy

F – Fluency

E – Expand Vocabulary 

We will be learning a variety of strategies to help us in each area. Last week we learned:

Comprehension – Check for Understanding

Who is it about? What has happened to far?

Accuracy – Cross Checking

Does the word I’m reading match the letters or picture? Does it sound right? Does it make sense?

We added them to our CAFE board:

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Here are some of us practicing our strategies:

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We have also been exploring a variety of apps we will use to present our research and thinking this year. Right now we are learning how they work. Some of these include Google Docs, Google Slides, Explain Everything, iMovie, PicKids, Mindomo, Glogster, ThingLink, and Book Creator.

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In Math, we have been comparing and ordering numbers. The students are getting better at using place value to help them do this.

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