Measuring+and+estimating

Tuesday June 12 and for the rest of the week....
*remember, your area assignment is due by the end of tomorrow's period!

You will have Monday and part of Tuesday's class to work on the area assignment. It is instead of a test and will be the last thing to be handed in before exams. It is due Wednesday June 13 - no exceptions! We will be doing exam review for the remainder of next week. Your exam is Thursday June 21!

Wednesday June 6
Field Day!! Have fun!

Monday June 4
take up area application questions and go over area of circles - formula and some practice questions

Thursday May 31
finish up circle and rectangle perimeter questions Moving on to area!

Tuesday May 29
Do track question from text book page 147 q 9 Do Circle and rectangle perimeter questions provided

Monday May 28
The story of Maths - BBC documentary - Where did the concepts of area, Pi, the hypotenuse...even "zero", come from?!

Thursday May 24 work period - complete budget assignment etc.
 * it will be hot in the senior school this week and the library is off limits due to EQAO testing, please dress accordingly and bring water!...but hey, it sure beats snow, right!?

Wednesday May 23


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Tuesday May 22
Teach travel day. Hope you had a great long weekend! Finish up test if you haven't already done so.

Tuesday May 15
__** Don't forget: **__** Quiz on Thursday covering imperial and metric conversions, Pythagorean theorem and perimeter **


 * Today we will learn about perimeter, but you can also continue working on the Pythagorean theorem work from yesterday. **



__** Perimeter: **__ Recall that perimeter is the distance around the outside of a shape. To find the perimeter of any shape (besides a circle), you simply add up all of the side lengths. So if you had a rectangle with the width of 10 m and the length of 12 m, to find the perimeter… P = w + L + w + L

P = 10 + 12 + 10 + 12

P = 44 m

For a rectangle, since it will have 2 of the same “widths” and 2 of the same lengths, you could write the formula as:

P = 2L × 2w

…or just add them up as we did above.

For a square, since all 4 sides are the same, you could write the formula as:

P = 4L

…or just add them up!

Practically speaking, why would you ever want to know the perimeter of something?

List: as many real life applications as you can (hint: think of household repairs, decorating, wood working….)

Textbook work: Read through examples 1 and 2 on page 144 – 145 Page 146 questions: 2 a, b, d (find PERIMETER, not area) 3 a, b, d (find Perimeter)

[[file:The Pythagorean Theorem.rtf]]
The Pythagorean Theorem **Right angled triangle** - a triangle with one angle that is 90 degrees (square)
 * Define: **

**Hypotenuse** (h)- the longest side of a right angled triangle - it will always be on the opposite of the right angle.

It means, the base number times itself twice e.g. 3 2 =3 times 3= 9
 * "squared" in math ** - shown as a number with the exponent (the power or super-script) of 2 example, 3 2


 * Pythagorean Theorem: ** h 2 ** = ** a 2 + ** b ** 2

The hypotenuse squared equals side a squared plus side b squared

square root (radical) - the opposite of "squaring" a number is finding the square root. So if 3 squared equals 9, then the square root of 9 is 3. It is represented by the math symbol: √ (visually looks like a check mark)or in UEB, dots 1, 4,6 (to open) and dots 3, 4, 6 to close. In Nemeth code, dots 3, 4, 5

√9 = 3

//**Try it:**// textbook page 143 questions 2, 3, 4, 5, 7 Find the size of your "device" (laptop, computer monitor, phone, iPad etc.) using the Pythagorean theorem Computers, TV's etc are "sized" based on their diagonal measurement (from one corner, across to the other) - this is actually the hypotenuse. Find out if your device is actually the size you think it is: measure the rectangle's length and width and use the Pythagorean theorem to find the hypotenuse.

Wednesday May 9 & Thursday May 10
*remember, your budget assignment is due tomorrow!!

[[file:Converting Units Imperial to Metric.rtf]]
* this worksheet is to be handed in

Tuesday May 8
Work period for budget assignment - remember, it is due by the end of the week (Friday)- if you are going on the Boston Trip, please have it in before you go! If you are having difficulties, please come see me before the due date! Remember, you need to include your grocery list task as part of this assignment! See the marking scheme to ensure you have all parts complete:

Thursday May 3
Let's try out the second metre pendulum experiment!! You and your group will have a roll of string, a pendulum weight and a stick across a door way to tie your string to. Someone in your group should have a stop watch on their phone. You may not measure your string. You will adjust the length of your string based on the time it takes for your pendulum to swing one period (back then forth, once). Miss S will be the official measurer. Remember, a pendulum with a string of exactly 1 m in length will have swing one period of one second. May they best pendulum win!! Ashlyn, Alyssa, Jenna Josh, Nader, Jake Dan, Kyle, Nathan
 * groups:**

Wednesday May 2
So now you know how long it takes you to walk a km - a good bit of information when judging transportation (should I walk? should I Uber?) as you venture out independently. A good point was made that traffic, stop signs, hills and other obstacles would definitely slow you down, but still, you can use your pace as a good estimate.

Today we will get into using the metric system for measuring lengths. Humans have been measuring things for centuries, probably dating back as far as the ancient Egyptians. In the beginning, people didn't have standardized measuring tools like meter sticks or even trundle wheels, so instead used other methods, most obviously, "feet" - as in a person's actual foot length, but also things like arm length, hand span or the width of a thumb. Clearly there are some problems with this (i.e. human variation) and we have come a long way with our accuracy and precision, but it's interesting to learn about the history of measurement and how time and distance is actually related. We will test out the pendulum swing experiment (last video clip) tomorrow...some prizes are up for grabs! So watch the following videos carefully. After the videos, you will review the metric system and complete the textbook questions that are listed below. media type="youtube" key="DQPQ_q59xyw" width="420" height="315"

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** Quick Review of Common Metric System Conversions: **
Remember, to convert between units, you will either divide or multiply. __** Length: **__ 10 mm = 1 cm 100 cm = 1 m  1000 m = 1 km __** Volume: **__ 1000 mL = 1 L __** Mass **__ 1000 mg = 1 gram 1000 g = 1 kg

__** Next: **__
Textbook: read page 124 then questions 1- 6 on pages 125 - 126

Tuesday May 1
So you found out that you probably walk pretty far in one day at WRMS! The halls that we measured yesterday totalled about 500 - 600 m - that's half a km! An important piece of information for O&M is to know your approximate walking pace - this can help you judge distances and pick suitable modes of transportation - think about it, when you get an apartment and someone says that the nearest grocery store is 2 km away, it would be good to know if it would be feasible for you to walk there or is the bus or taxi a better choice. And since it's the first day of May and FINALLY some nice weather...we will go to the lower track and walk a km and time it. First we need to measure the exact distance once around the track. We will use this to find out how many times around we must walk to equal a km. When you do your walk, walk at a comfortable, normal pace for you.

Next: Textbook page 125 - 126

Questions 1- 6

Sadly, it is Mr. Aitch's last day in our class. We thank him for his help over the months - he was a great asset and will be missed! THANK YOU!!!

Monday April 30
Measuring the school hallways - using a trundle wheel, we will split up in to 2 groups and measure the entire length of the WRMS hallways - PREDICT and ESTIMATE - how long do you think all of the hallways are in our school?

Textbook page 125 - 126 Questions 1- 6

Monday Jan 18
Area of rectangles

Wednesday Jan 13
Review for Perimeter quiz

Tuesday Jan 12
Finish and take up "perimeter and Pythagorean Theorem" worksheet Review perimeter for quiz tomorrow

Example: A cycling velodrome (track) has straightaways that are 50 metres in length with semi-circular ends that have a diameter of 40 metres. a) Find the perimeter of the track. b) Clara Hughs warms up by doing a 1 km sprint workout. How many times does she have to ride around the track to go a distance of 1 km?

Monday Jan 11
Review Pythagorean theorem Perimeter of Triangular shapes Perimeter quiz Wednesday

Measure track - figure out perimeter 3 ways:
Jason: if 9 laps = 1 km 1000/9 = 111.11m

Walk the perimeter with a trundle wheel 3 times and take the average: (106 + 110 + 121)/3 = 112 m

Measure straightaways (L) and Diameter (D) P = 2L + (3.14)D P = 2 (8.2) + (3.14)(26.8) P = 100.552 m

Hey! We're pretty close! Possible errors: walking inner or outer? Difficult to tell where straightaways start, measurers veering, not walking a straight line, trundle wheels sliding, not rolling, not accurately counting the clicks?

Thursday Jan 7
Finish circumference questions Do track question from text book page 147 q 9

Wednesday Jan 6
Take up Perimeter questions - focus on if the shape is irregular Circumference! - a blast from your grade 7/8 past!?



Tuesday Jan 5
Finish Perimeter questions

Monday January 4
What is perimeter? List as many real life reasons you might need to calculate perimeter Perimeter equations for different shapes: Rectangle Square

Page 144 Chapter 8.2 Example 1 Practice questions page 146 - 147 Q 3 adb, 5, 7cd

Find the perimeter of the classroom using a trundle wheel

Wednesday Dec 9
A = 1/2 b x h Review Pythagorean theorem Use Pythagorean theorem to calculate length of hypotenuse of foam board triangles then check with measurement Begin painting triangles

Tuesday Dec 8
The Pythagorean Theorem textbook page 147 go through examples and questions 3, 4, 5, 7

Thursday Dec 3
Take up Converting Units Worksheet Textbook page 130 "develop questions" 1 and 2 with a partner

Wednesday Dec 2
Finish "Converting Units" Worksheet

Tuesday Dec 1
finish questions from Monday and take up Begin "Converting Units" Worksheet

Monday Nov 30
Textbook page 128 explore & develop, example 1 Practice Questions: 1 a-e, 2 a b f, 5, 6

SB and MB 97.5cm JM and RD 101.7cm AB, AA, TE 100.5 cm* Girls were the winners! Well done everyone - great team work! Prizes on Monday!
 * UPDATE: Results were:

Thursday Nov 26:
History of metric and early measuring systems video clips: Is your thumb an inch? Measure it, then use it to measure your desk. How tall are you in cm and in feet/inches - measure each other