Patterning Test Study Guide

Happy Monday!

Grade 5s, here is the list I gave you in class today to use as your study guide. If you are comfortable with these concepts, you'll be in great shape for our test on Wednesday.

Make sure you know how to:
- write terms of a pattern based on a pattern rule
(e.g., write the first 5 terms using start at 3, add 9 each time)
- identify a pattern rule when given terms of a pattern
(e.g., write the next 4 terms in each pattern and write the pattern rule for 1, 2, 4, 5, 7, 8,…)
- complete a table for an input/output machine with one operation
(e.g., input  -7  output)
- create a table showing patterns in a growing model (e.g., create a table to show the perimeter of the first 4 figures)
- create a table based on a word problem (e.g., Nicholas earns $6 an hour for babysitting. How much money will he earn after 3 hours? 4 hours? How many hours will he need to work to buy a bicycle for $250?)

Math Word Definitions

It's Friday!

Post your math word definitions here. We'll be using your pictures and definitions to creat our Math Words Wall.

You need to find the definitions for:
-pattern rule
-input
-output
-operation
-perimeter
-similar
-term

If you find a great online math dictionary (or another source you think is very useful), post the information as a comment. We can all benefit from hearing about great sites, resources, etc.!

Remember that some words have more than one definition. We want to find out what these words mean IN MATH.

Have a great weekend, folks!

-Ms. Lewis.

Using Patterns to Solve Problems

Hi Grade 5s!

Can you believe we're halfway through the week already?

Today we talked about how to use patterns to help us solve word problems. I gave you the problem about Sam and his baby-sitting gig as an example.

We learned that Sam earns $6 for every hour he baby-sits. We needed to find out how much money he'd earn after working for 2 hours, 3 hours, and 4 hours.

We began to solve the problem by making a 2-column table like this:

Time Worked Money Earned
(hours) ($)
---------------------------------------

Then we filled in the chart with what we knew. We knew that if Sam worked for 1 hour, he would earn $6. If he worked for 2 hours, he would earn $12. Here's how we filled in the chart:

Time Worked Money Earned
(hours) ($)
---------------------------------------

1 6
2 12
3 18

We noticed that we could figure out how much money Sam would earn by multiplying the hours he worked by $6. If we wanted to find out how much he would earn after working for 4 hours, we would solve 4 x 6. Sam would earn $24.

We can write the pattern rule for how much money Sam earns two ways:

Start at 6. Add 6 each time.

OR

The number of hours multiplied by 6.

As always, if you've got questions, I've got answers! Post them here.

-Ms. Lewis.

Modelling Patterns

Happy Monday, Grade 5s!

Today we looked at growing shape patterns. The example we had on the board was the growing triangle figure. We saw that as the number of triangles in the figure grew (each time by adding 1 triangle), the perimeter (the distance around an object) grew by 1 each time as well.

Remember how to write your pattern rules. If I was writing one for our triangle example, I would write the pattern rule for finding perimeter like this:

Start at 3. Add one each time.

Good luck!

Questions? Post them here!

See you tomorrow,

-Ms. Lewis.

We Made It!

Happy Friday, everyone!

Thanks for a great math-filled week. You guys are awesome!

Remember, if you need help with your homework this week, post a comment on our math blog, and I will respond as soon as I can.

It's supposed to be sunny this weekend. Try to get outside and soak up some of those beautiful rays :).

See you Monday!

-Ms. Lewis.

Tonight's homework

We've nearly made it a full week!

Just a few pointers about your homework tonight.

Your input numbers are the numbers you begin with. You are going to use the input/output rule (located in the box above the input/output chart) to find your output number.

For example:

Let's say my input/output rule was x 5. If my input number was 1, I would do 1 x 5, giving me an output number of 5 (because 1 x 5 = 5).

If my input numbers were 1, 2, 3, 4, 5, the pattern rule for the input numbers would be:

Start at 1. Add 1 each time.

If my output numbers were 5, 10, 15, 20, 25, the pattern rule for the output numbers would be:

Start at 5. Add 5 each time.

Remember: if you have any questions, post them here, and I will respond.

Have a great night!

-Ms. Lewis.

Patterning

Happy Wednesday!

We started our unit on patterning today. We learned that numbers in a pattern are called terms. The following growing pattern has 5 terms:

2, 7, 12, 17, 22

Our pattern is increasing (we know that because the numbers are getting bigger). Because the numbers are increasing, we know the pattern is using one of two operations: addition or multiplication. We know this because only those operations make numbers bigger.

So...let's think about how we get from 2 to 7.

We can add 5.

What about from 7 to 12?

We add 5!

What about from 12 to 17?

How about that? We add 5 again!

Our pattern rule, then, is: start at 2. Add 5 each time.

Let me know if you've got questions about patterning by either posting a comment here, or asking me tomorrow. If you need help with your homework tonight, this is a great forum to use.

Thanks for a great day, Grade 5s! You guys ROCK!

-Ms. Lewis.

Welcome to Grade 5 Math!

If you're reading this, it means you've found our class math blog for the year. We'll use this space to share ideas, ask questions, and learn together.

Please click on the link below. It will take you to a survey that asks you questions about math. Your answers will help me make this year your best math year ever.

I'll be checking this space regularly, so please post your comments and questions here. I'll do my best to answer them either here on the blog, or in class the next day.

I'm really excited to get this year going!

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