Grade 7 Math Blogorama at Sargent Park

Why do we use blogs?

2006-06-29T15:49:00.000-05:00

I received a wonderful question from a teacher this past week. I dealt with the topic of plagiarism and the act of one student stealing the work of another. This fellow teacher is thinking of implementing a blog with her middle year students next year and was wondering how I dealt with students copying one another's work.

This question is something that every educator must deal with, not only in terms of blogging, as for just about any question that we pose to our students, a solution can be found on the internet and copied as their own.

The reason that I've included this post onto my blog, for all of my students to read, is that plagiarism is a topic that we have touched on in class. It is not a problem that goes away if you don't talk about it. Rather by eduacting our students on the harm of copying, and how you do not learn by simply cutting and pasting someone else's work, you instill within your students the desire to produce original work. I encourage my students to visit other websites, to read each other's solutions, but when they are solving the problem themselves, they need to solve it on their own.

Has this completely eliminated students copying eachother's work? I think that it would be foolish to expect it to have completely stopped any form of copying; but it has instilled within many of my students the view that plagiarism is wrong. Many of my students send me comments if they see that someone has copied another student's work as they truly take pride in their classroom blog. They view it as their space, and they don't want others abusing it.

Remember to take these challenges and turn them into teachable moments. Educate your students and have them take pride in their own work and this will greatly reduce the temptation to steal from one another.

Thank you for the wonderful question.

Mr. Reece

Congradulations

2006-06-23T10:53:00.001-05:00

I just wanted to congradulate everyone for writing all of your exams this week. I know that everyone tried their best and hopefully you will be happy with your results.

The final week of school is almost upon us. Here is what is happening each day next week.

Monday - Admin day, enjoy lying in the sun and having fun with your friends
Tuesday - Activity day. We will be showing a movie in the gym in the morning, having pizza at 11am, and then leaving to go bowling at 11:45. We will be back to the school by 2:30. If you want to bring extra money to either buy some more lunch from the cafeteria, or to purchase items at the bowling alley you are encouraged. I do however recommend that you leave your valuables (cellphones etc.) at home that day.
Wednesday - Grade 7 and 8 awards in the morning.
Thursday - Grade 9 awards and grad in the morning. You are welcome to attend grade 7's
Friday - Report cards are handed out at 11:30am.

Enjoy your long weekend everyone. Remember to bring back your math textbook if you haven't already returned it, or else your parents will have to pay the cost of replacing the text.

See you on Tuesday!

Mr. Reece

Congradulations

2006-06-23T10:53:00.000-05:00

Final Week of Review before exams

2006-06-12T22:12:00.000-05:00

We are into our final week of review before exams begin on Friday.

Here is the plan for each day this week.
Monday: We will review Equivalent fractions and converting between fractions and decimals
Tuesday: We will review adding and subtracting fractions
Wednesday: We will review the number line along with adding and subtracting negative numbers
Thursday: We will review what we need to know in geometry for the final

You will be receiving from me between 2 and 4 worksheets each class. These worksheets along with your 3 point approaches act as your exam package. Do the worksheets to see where you might be having any problems, and then you can either work with a friend or come and see me during exam week in order to clear up any confusion.

Remember that you can bring with you 3 3-point approaches to your exam. you will turn in these 3-pt approaches after you have finished. Each 3-pt approach is worth 10 marks that count towards your term 3 assignment marks.

Have a great week everyone and lets make our final week a great one!

Mr. R

Final Week of Review before exams

2006-06-11T22:12:00.000-05:00

Add-in for Microsoft Word

2006-05-31T15:44:00.000-05:00

If you click on this link it will bring you to a page where you can download an extension for Microsoft Word that allows you to create your post in word and then publish it to blogger. The installation takes under a minute to complete and to set up the addition to blogger all you have to do it enter your username and password under blogger settings.

Have fun using this great tool for word and blogger.

Mr. R

Algebra due dates

2006-05-31T09:59:00.000-05:00

Along with your test on Tuesday June 6th, you have multiple items from our unit on Algebra which are due. They include

All four growing posts
All completed worksheets in your duotang, along with a title page. (I will post a list of all of the sheets that need to be completed.)
3-point Approach for Algebra

Getting your growing posts completed, and your duotang upto date will help you prepare for your test that day.

Happy blogging everyone!

Mr. Reece

Unit test in Algebra

2006-05-30T23:06:00.000-05:00

Our Unit Test is set for Tuesday June 6.

I will be posting helpful online resources on Wednesday and Thursday to help you prepare for your final unit test. We will be spending classtime Wednesday and Thursday reviewing material to prepare next Tuesday.

Check my blog frequently over the next few days for all kinds of important information for the test.

Mr. Reece

Growing Post 4: Due June 6th

2006-05-30T23:03:00.000-05:00

Question 1: Formulas. We’ve learned how to write algebraic equations in the form of

mx + b = y. Convert these two sentences into algebraic equations using the above formula.

Sentence 1: Scott is 2 years older than Donald who turns 12 on June 21^st 2006. Write this sentence in the format of mx + b = y, then convert it into an expression which allows us to figure out the age of Scott.

Sentence 2: Elizabeth has $200 in her savings account. She makes $40 every two weeks babysitting for her next door neighbours. If Elizabeth saves all of her money solve for how much money she will have in one year.

Question 2: Creation. You need to create two questions for your classmates that cover different concepts (ex: T-Charts, patterns, equations, graphs etc.) that you have learned in this unit on Algebra. You then need to show how to solve the questions. Your mark will be based upon the level of question’s difficulty, and the effort put into your answer.

Question 3: Reflection. You need to look back at the chart that we filled out during the first day of the unit. This is the chart where you coloured a topic red, yellow or green. You now need to pick one concept that you coloured yellow or red and reflect in words what new skill/idea that you have learned on this topic.

Question 4: Preparing for the final exam. You need to think about the year that has past in mathematics and decide which topic is your weakest, and what you need to learn during class review in order to prepare yourself for the final exam. It is not enough to say fractions, instead pick your weakest area of fractions, say the subtraction of fractions, and give an example of what you don’t understand.

This is our final week of Algebra, we will be starting our review for the final exam next week.

Growing Post Hall of Fame

2006-05-24T17:36:00.000-05:00

Our math classes now have a place to celebrate the great growing posts that are being created by everyone. You can find the hall of fame here
If you wish to nominate any scribe posts please send me a comment telling me which post you believe deserves mention in the hall of fame.

Thanks everyone for your hard work

Mr. R

Growing Post for the week of May 15th to 20th (Due Tuesday May 23rd)

2006-05-19T06:57:00.000-05:00

Question #1: Solve all 3 parts of the problem below

Jack collects baseball cards. Jack has 180 baseball cards in his collection. At the end of each month Jack buys 25 baseball cards to add to his collection.

a)Create a T-Chart showing how many baseball cards Jack has at the end of the next 4 months.

b)Create an algebraic formula based upon the problem above

c)If Jack just turned 8 years old this month and Jack continues to buy the same amount of baseball cards each month, how many baseball cards will jack have when he turns 12?

Question #2: Use the chart to figure out the questions below.

Jackie is planning on having a pizza party with some of her friends. She is trying to figure out how many pizza’s to order. She knows that each pizza has six slices of pizza.

a)If Jackie thinks that there will be four people at the party (counting herself) how many pizza’s should she order?

b)If two more people show up at the party how many more pizza’s does she need to order?

Question #3: Answer the questions below based upon this information

Kathy has $20 in her savings account. Each month she adds another $15 to her savings account. In order to calculate how much money she will have in one year Kathy has created this algebraic formula: 20 + 15n = Savings amount

a) Calculate how much money Kathy will have in one year

b) Suppose Kathy counted wrong and she really has $25 in her account instead of $20. Change the algebraic formula to reflect this miscalculation.

Question #4: Solve the following equations. Show all of the steps that are needed.

a) 3n + 4n + 7 = 2n + 12

b) 8n – (4 + 9) = 11

c) (8 – 3 )n + 7n + 8 = 4n + 40

Have fun with the growing posts everyone!

Growing Post Questions Due Monday May15th

2006-05-10T07:36:00.000-05:00

Question #1: What is meant by the terms "Rotation Symmetry" and "Reflection Symmetry"? How does this relate to pentominoes? Explain these terms so that anyone who reads your post understands what you mean.

Question #2: Create a pattern. You must represent this pattern both pictorially (i.e. with a picture or diagram) and with numbers. You must show the first 4 steps of your pattern.

Question #3: Describe in words what is occuring with your pattern and if your pattern has an ending or if it continues on indefinately. Make sure that your explanation is clear enough that the person reading your description could understand your pattern without seeing your diagram.

Question #4: Create a T-Chart that shows what is happening with your pattern. You must show the first 4 steps of your pattern with the T-chart.

Remember if you are having problems with these answers use your friends and the internet to help you discover the answers to your questions.

Happy Posting everyone.
Mr. R

The growing post

2006-05-09T21:05:00.000-05:00

The growing post.

So what you may ask is a growing post?
Well this is your chance to reflect and speak about what you have learned in class. It is a chance for you to share your throught and ideas on topics that we have covered in class.

Think of the growing post as a perfect way to check that you are learning what you need to know in class, and that you have tested your knowledge and are confident in what you have learned.

So how does the growing post work?
Every week you will be given questions in class that relate to the material that we will learn that week. During the week take a few minutes (10 to 15 max) to try to answer a question or two based upon the topics that we have covered in class. If you choose blogger as your medium for doing the growing post continue to add to the same post throughout the week. Do not create a new post for each addition to your post. If you choose paper and pen, make sure that you keep your growing post in your duotang as you must hand it in each Monday after class.

Examples of growing posts.
Mr. Harbeck's classes have been creating their own growing posts for the past few weeks. Here are examples of some of the best growing posts that his students have created.

Grade 8 Growing Post Hall of Fame
Check the right side of my blog for the link to the Grade 8 Growing Post Hall of Fame or click here

My Own Growing Post
I will construct my own growing post based upon knowledge that is learned this week around these unique 4 questions.

1. What are pentominoes and how many unique pentominoes can we create?

2. Identify the pattern that is occuring in the following shapes and relate what is happening with the pattern with words.

3. Create a Algebraic function that describes what is occuring in this pattern.

4. Use this pattern to express what is happening with the 10th, 25th and 50th shape.

I will answer these 4 questions throughout the week highlighting how to create the growing post here on my blog.

Mr. R

Mr Reece's Growing Post

2006-05-09T19:33:00.000-05:00

I will be creating my own growing post over the next week based upon four questions that are similar to those that you received in class. I will be building upon this original post as we learn new information relating to the 4 questions that I will have to answer.

The Questions

1. What are pentominoes and how many unique pentominoes can we create?
2. Identify the pattern that is occuring in the following shapes and relate what is happening with the pattern with words.
3. Create a Algebraic function that describes what is occuring in this pattern.
4. Use this pattern to express what is happening with the 10th, 25th and 50th shape.

Question #1
A pentominoe is created when we join five identical congruent squares together to form a single shape. A square can only touch another square if both sides are aligned together so that the sides are perfectly equal to one another.

There are a total of 12 unique pentominoes that can be created using 5 equal sized squares. A pentominoe that is a reflection (flipped) or rotation of one of these 12 pentominoes is not considered unique.

These are the 12 unique pentominoes (image taken from wikipedia)

I will answer question #2 tomorrow.

Mr. R

Question #2
Identify the pattern that is occuring in the following shapes and relate what is happening with the pattern with words.

ANSWER
Pattern #1 There are three different patterns here. For the first pattern we are slowly building a cross. In the original step we have a horizontal line of 3 blocks. In the next pattern we add 2 blocks vertically at the center area to create a cross. For step 3 we add more horizontal blocks, step 4 two vertical blocks etc. Each odd number adds two horizontal blocks, each vertical step 2 vertical blocks. Numerically the pattern is growing as 3, 5, 7, 9....

Pattern#2. This is pattern adds one additional row to the growing checkboard that is one tile larger than the last. The first row has 1 tile, the second row 2 tiles with a blank space between them, the third row 3 tiles with a blank space between each etc. Numerically the pattern is growing as 1, 3, 6, 10... (1, 1+2, 1+2+3, 1+2+3+4...)

Pattern #3. This pattern involves the construction of a pyramis using triangular shapes. Step 1 involves 1 triangle, step 2 FOUR small triangles joined to form 1 large triangle, step 3 NINE triangles joined to form 1 larger pyramid etc.
Numerically the pattern is 1, 5, 14, 30...

Question #3 Create a Algebraic function that describes what is occuring in this pattern.

Note: n = the shape or step 1
Pattern #1: 2n + 1 = the number of tiles that are needed for each step.
Pattern #2: n(n+1)/ 2
Pattern #3: n²
Question #4:Use this pattern to express what is happening with the 10th, 25th and 50th shape.

Pattern #1: 10th Position: 21, 25th position: 51, 50th postion 101
Pattern #2: 10th Position: 55, 25th position: 325, 50th postion 1275
Pattern #3: 10th Position: 100, 25th position: 625, 50th postion 2500

So here are my answers to the questions that I asked for my growing post. Your questions are different, and since a few people have already done their growing post look at what they have done and use it as a guide along with this post for what I expect.

Remember that these posts make up 30% of your grade for this unit (about the same as your test) so one or two word answers for each question is not sufficient.

Have fun everyone, enjoy the weekend and I will see you monday

Mr. R

Sunday night math games

2006-05-07T22:15:00.000-05:00

Since I didn't post a Sunday night math game last week I figured that I'd make up for it by posting two games this weekend.

The first game is the problem solving game Sodoku that many of your have attempted in class. Click Here to go and play this challenging number puzzle game.

The second game is called Cubis. The goal is to remove blocks of the same colour in groups of three or more. While it sounds simple it will keep you busy for hours if you let it.

Have a great night everyone

Mr. Reece

Week of May 8th to 12th

2006-05-07T20:23:00.000-05:00

This week we are starting our final unit of the year, dealing with the wonderful concept of Algebra.

We will be focusing upon multiple areas within the area of algebra from pattern recognition and building to the creation of T-Charts and graphs to help us understand what is occuring in the pattern to finally the creation of our own algebric formulas in order to describe what is occuring in our patterns using concrete language.

Another goal is that we will spend time each day learning how to talk and write about math. We have not in my opinion been spending enough time writing about math and what is happening in our learning.

Finally we will be integrating blogger more closely into this final unit with a concept called the growing post (it will act as a reflection piece for what we are learning in class.) This growing post will be worth a significant portion of this unit's marks so it will be wise to either spend time on blogger during the week or be prepared to create your growing post on paper and keep safe care of it over the next 3 to 4 weeks.

This unit promises to be plenty of fun so be prepared to challenge your mind these next few weeks everyone!

See you on Monday.

Mr R.

Sample Angle questions

2006-04-25T19:45:00.000-05:00

In the four questiong below you must solve for the missing angles.
Remember to use complementary, supplementary and opposite angles to help you solve for the missing angles. As well recall that the total sum of a shape's angles is based upon the number of triangles that you can divide the shape into (a square is 2 triangles so 180 degrees x 2, a pentagon has 3 triangles etc.)

Question #1

Question #2

Question #3

Answers to the questions.
Question #1 A = 57, B = 33

Question #2 A = 90, B = 45

Question #3 A = 122, B = 118, C = 120 (We know that all six angles must equal 720 degrees, as we can split the hexagon into 4 triangles, and each triangle would have 180 degrees so 180 x 4 = 720 degrees)

Question #4, A = 120 (opposite angles) B = 90 (60 + 30 + 90 = 180)

Question #4

Sample questions with circles

2006-04-25T19:12:00.000-05:00

For the following 4 questions you have to find these 4 pieces of information. You need to find the Diameter, Radius, Circumference and Area.

Circle#1

Circle #2

Circle #3

Circle #4

Answers to the questions
Question #1 D = 8cm, R = 4cm, C =25.12cm, A = 50.24cm²

Question #2 D = 13m, R=6.5m, C=40.82m, A = 132.665m²

Question #3 D = 19cm, R = 9.5cm, C = 59.66cm, A = 283.385cm²

Question #4 D = 10m, R = 5m, C = 31.4m, A= 78.5m²

Sample questions on area and perimeter of polygons

2006-04-25T19:02:00.000-05:00

For the following four problems you need to calculate both the perimeter and the area. Remember that to find the Area of the shapes you will have to break apart the large shape into smaller shapes that you know how to solve.

Image #1

Image#2

Image #3

Image #3

Answers
Question #1, P = 96cm, A = 336cm²
Question #2, P = 23.8m, A = 24.25m²
Question #3, P = 61.6mm (don't forget the 2mm on the right side of the shape) A = 149.5mm²
Question #4, P= 60.2cm, A = 190.5cm²

Polygons

2006-04-24T19:58:00.000-05:00

This link takes you through a lesson on finding the area of regular polygons (all of the sides are equal) and circles. Click Here

Here are is a simple matching game for the terms that we have learned in this unit.

Sunday night math game

2006-04-23T21:00:00.000-05:00

This is a simple spacial game. You need to assemble a square
using multiple different shapes.

Assemble the square

This game focuses upon Chinese Tangrams. You get to try to assemble multiple shapes using the 7 chinese tangram pieces

Tangrams

Sample Angle Questions

2006-04-23T20:40:00.000-05:00

Anlges Quiz

Question 1

	A.
	B.
	C.
	D.

Question 2

	A.
	B.
	C.
	D.

Question 3

	A.
	B.
	C.
	D.

Answers to the questions.

Q1. B, Q2 D, Q3 D

Online Quizes

2006-04-23T19:56:00.000-05:00

These quizes ask you ten questions based upon your topic of choice. After you answer the 10 questions it shows you your incorrect answers and allows you to reanswer the questions.

This link allows you to practive plotting and identifying points on the coordinate plane.
Coordinate Geometry

This link allows you to calculate the perimeter and area of circles, triangles and rectangles.
Area and Perimeter

This link allows you to calculate angles. From supplemental, opposite and parallel angles to the angles of a triangle.
Angles

This link allows you to learn about triangles.
Triangles

Mr. R

Coordinate plane questions

2006-04-23T16:41:00.001-05:00

Here are a few sample questions in regards to the coordinate plane. There will two types of coordinate plane questions on the test, you will either have to plot some points when you are given the coordinates, or you will have to follow directions in order to discover additional points. (Example start at (6,4). Move up 3, right 3. What is the new point?

Question 1. The vertical number line on the coordinate plane is called?
a) The X-Axis
b) The Y-Axis
c) Quadrant
d) Origin

Question 2. What is the coordinate for this graph?

Question 3 Which Graph is the point (-3,0)?
	A.	B.
	C.	D.

The answers to these three questions will be posted later

Answers
Q1, b, Q2 (5,3), Q3 c

Assignment Due Friday April 28

2006-04-21T13:02:00.000-05:00

You must respond to this post as a comment. Completing this assignment on your own blog with not earn you credit.

In order to complete this assignment you must use the free web encyclopedia called Wikipedia This website has information on over 1 million topics.

Here you must find information on your choice of ONE of these five topics. You cannot simply cut and paste the text from wikipedia as your comment, instead you must explain in your own words what the subject is about. 4 to 6 sentences should be enough to explain the topic.

If a topic is in " " then you should paste the exact term into wikipedia as your search item

Topics:
1. Who is Euclid and what are three of his axioms. Euclid gives five postulates (axioms) in his first book of elements, which discribes Geometric terms.

2. What is the The "Pythagorean theorem"?

3. "Congruence (geometry)" Congruence (geometry). What are the three ways that triangles can be proven to be congruent (equal to one another) using sides and angles.

4. What is a "Wiki" and what is "collaborative writing"?

5. What is the "fibonacci sequence" and what are five examples of where it can be found in nature.

Have fun using this amazing web based resource. Use it to find out information on anything that we are learning in math class.

Mr. R

My Delicious

2006-04-20T08:10:00.000-05:00

Remember to check out the links under Grade 7 De.licio.us on the right hand side of your blog. These links are great if you are having problems understanding the concepts of perimeter, area or triangles.

I will be adding additional links in regards to the coordinate plane, and angles. These are all topics that you will be required to know for the test on Wednesday.

Mr. R

Unit Test, Wednesday April 26th

2006-04-19T11:38:00.000-05:00

All four classes of grade 7 math will be writing the Geometry term test on Wednesday April 26th. The test will include the following

Classifying angles (Acute, Obtuse, Right etc. )
Determining angles in degrees
Determining the angles of a triangle
Calculating the perimeter and area of polygons
Calculating the circumference and area of circles
The coordinate plane

I will be posting self helpful aids during the next few days in regards to this test.

Mr. R

Week of April 17th to the 21st

2006-04-17T22:47:00.000-05:00

This week will see us wrap up the unit on Geometry and prepare for our unit test next Tuesday or Wednesday.

On Monday and Tuesday we will finish up examining circles (diameter, radius, circumference and area) and review finding the perimeter and area of polygons (rectangles, triangles and parallelograms in particular.)

Wednesday to Friday will be spend learning the coordinate plane. This deals with the X and Y axis, with positive and negative numbers on these two axis's

Keep a watch on this blog for upcomming hints, reviews and links to help you prepare for the unit test next week.

Have a happy week everyone and remember to check out the de.licio.us links on your blog.

Mr. R

Sunday night Math Game

2006-04-16T21:00:00.000-05:00

This game seems incredibly simple at first, yet it will get you hooked very quickly. You only have to move the small red box inside the small blue box. Trust me it sounds so simple, yet becomes deceptively tough. Enjoy the puzzle solving everyone!

Click here to play

Mr. R

Assignment Due April 19th

2006-04-12T22:19:00.000-05:00

This assignment deals with the solving of patterns. In order to answer this assignment you need to respond to this post with a comment.

For each pattern you need to tell me what is the pattern, and what the next three missing numbers are in the pattern.

Example: 1, 2, 4, 8,16, _, _, _ The pattern starts at 1, with each new number double the last number.

Pattern #1: 2, 5, 8, 11, 14, _, _, _,

Pattern #2: 99, 89, 79, _, _, _

Pattern #3: 1, 4, 9, 16, _, _, _

Pattern#4: 1, 1, 2, 3, 5, 8, 13, 21, _, _, _

Happy puzzle hunting.

Bonus Mark. The fourth pattern is a very special and very unique pattern that is found commonly in nature. For one additional mark tell me the name of this pattern.

Mr. Reece

Answers
Pattern 1:Add 3 to each number to get the next number.
17, 20, and 23

Pattern 2:Subtract 10 to each preceding number to get the next.
69, 59, and 49

Pattern 3:Add 1 to each number and square it.
25, 36, and 49

Pattern 4:Add the first 2 numbers to get the next number.
34, 55, and 89
Bonus Mark, this is referred to as the Finonachi sequence

Assignment Due Tuesday April 11th

2006-04-04T19:41:00.000-05:00

You must reply to this post as a comment in order to receive marks for this assignment!

In this assignment you need to find either the perimeter of the polygon or the area. For the perimeter questions you need to give the total distance and unit of measurement. For the area questions you must show the formulas that you will use, what numbers you use along withproper numbers into the formula and give the final answer.

Part 1 Find the Perimeter of the 2 following objects.

a)

b)

Part 2: Find the area for the given polygons. (Hint you might have to think of the shape as two seperate polygons in order to solve the problems.)

c)

d)

Have fun solving this assignment, and happy blogging everyone!!!

Mr. R

Week of April 3rd to 7th

2006-04-04T18:32:00.000-05:00

I hope that everyone had a great spring break and are looking forward to the final 3 months of school. Yup that is right we have less than 3 months to go until the end of grade 7 and summer holidays!

This week we will be diving in the concepts of perimeter and area. We learn how to determine the perimeter of all polygons, and the area for certain types of polygons including rectanges, squares, parallelograms and triangles. For the second part of the week we will spend some time playing with circles in order to determine their perimeter and area.

We will be using manipulatives including dot paper and geoboards in order to construct polygons and determine accurate measurements.

Have a great week everyone

Mr. R

Just in case! A Sunday Game for April

2006-04-02T15:28:00.000-05:00

Mr, Kuropatwa over at DMCI has this game posted on his blog. It is really cool and harder than it looks. Good Luck

Mr. Harbeck

Aids for the Quiz on Thursday March 23rd

2006-03-22T20:13:00.000-06:00

Here are a few online quizes that you should help you prepare for tomorrow.

Sample Quiz #1 This quiz focuses upon the basic five angles

Sample Quiz #2 This quiz focuses upon finding a missing angle

Sample Quiz #3 This quiz focuses upon complementary and supplementary angles

If you wish to review some of your worksheets These would be great questions to try again.
10.2 Questions 1 to 3, 10 to 12
10.4 Questions 1 to 6, 13 to 18
10.5 Questions 4 to 12
10.6 Questions 1 to 6 9 to 14

Happy Studying everyone!

Mr. R

Quiz on Thursday March 23

2006-03-22T20:07:00.000-06:00

Here is a reminder of what will be on the quiz tomorrow.

There are five key areas to focus on.

1. Types of angles. You need to know what these 5 key angles are: Acute, Obtuse, Right, Straight and Reflex.

2. Special combination of angles. You need to know what are complementary angles, supplementary angles and opposite angles.

3. How to find missing angles. This is the majority of the quiz. You need to be able to determine the missing angle(s) by using complementary angles, supplementary angles, right angles and the angles of a triangle

4. Polygons. What makes a polygon a polygon. What are the key characteristics of polygons (we took this down in class, if you don't remember check the scribe posts!)

5. Triangles. Triangles are one type of polygon. What makes a triangle different from other polygons? There are 3 key characteristics

I will post some helpful links very shortly to help you with your studying.

Mr. R

Homework Reminder

2006-03-21T16:58:00.000-06:00

Just a reminder to everyone that there is homework due tomorrow. The homework is from the worksheets. You are responsible for completing 10.6 , which involves calculating the missing angle of a triangle.

Hint: Remember that a triangle's angles always equal 180 degrees, opposite angles always are equal, and supplementary angles are 180 degrees.

Have a great night everyone.

Mr. R

Assignment Due Friday March 24th

2006-03-19T14:14:00.000-06:00

You answer this assignment you must reply to this post as a comment. You CANNOT answer this assignment by creating a post on your classroom blog.

This assignment has two parts.

Part 1: There are 5 different types of quadrilaterals (4 sided polygons). I need you to tell me what these five polygons are called, and what the difference is between them. It would be great if you could find pictures of the quadrilaterals, but it is not required.

Part 2. There are 6 different types of triangles. 3 of them are based upon their sides (all three the same, two the same or all unique in length) and three of them based upon their interior angles.

You need you to tell me two types of triangles based upon their sides, and two types of triangles based upon their angles.

Have fun searching everyone! HINT:Remember that google is a powerful tool

Mr. R

Week of March 20 to 24.

2006-03-19T13:15:00.000-06:00

Its the final week before spring break and we have a bunch of new ideas that we need to cover in class this week.

On Monday and Tuesday we will be examining polygons. These two days will be spent examining the properties of polygons, what makes a polygon and what characteristics help us distinguish between types of polygons. These characteristics include angles (individual and total sum) and the sides of the polygon (number and length).

Wednesday and thursday will be spent calculating the area and perimeter of triangles.

Friday is activity day with a spring dance for part of the afternoon. While I cannot mention what the activity is, it will involve the construction of geometric shapes for a contest.

I hope that everyone enjoyed the weekend and I will see you tomorrow.

Mr. R

Sunday Afternoon math game

2006-03-19T13:10:00.000-06:00

This is a game called gridlock. The object is to slide the blueish grey block into the opening on the right hand side of the game board. In order to do this you will have to slide the other blocks left to right or up and down. A block can only slide right and left OR up and down. The puzzles will grow in difficulty as you advance throught them, but they are loads of fun and are a great puzzle challenge.

Enjoy everyone and I will see you in class tomorrow.

Mr. R

Sunday Night Math Game

2006-03-12T19:14:00.000-06:00

Here are some great puzzles for everyone to try out. All of the puzzles and games are free to play, but some of them you need to sign up for a free membership before you give them a try.

Have fun trying to solve the puzzles everyone!

Mr. R

Assignment Due Thursday March 16

2006-03-09T15:28:00.000-06:00

This blog will require you to do a little bit of research on the internet or in a book.

Question #1: I need for you to tell me "What is the definition of a polygon"

Definition: A closed figure that is composed of a FINITE numbre of line segments. It is derived from the greek words "poly" meaning many and "gonia" meaning angle.

Question #2: Is a Circle a polygon?

Answer: No since a circle cannot be constructed by a finite amount of line segments, instead it is a infinite amount of points in a circular path.

Question #3: You need to tell me what the names of polygons with the following sides are.
3 sided = Triangle
4 sided = (remember I did not say that all 4 sides are equal) Quadrilateral
5 sided = pentagon
6 sided = hexagon
8 sided = octagon
10 sided = decagon

Leave your answers as a COMMENT to this post. If you leave the answers on your own blog site you will not receive any credit for this assignment.

Have a great weekend eveyone!

Mr. R

Sunday Night Math Game

2006-03-05T22:30:00.000-06:00

Here is your weekly Sunday night math game. This week constant and changing puzzle solving is on the menu. Once again you'll probably want to have a high speed internet connection to try this game, along with a relatively fast computer (only a few years old). So enjoy the puzzle and next week I will post a game that everyone can enjoy

Mr. R

Week of March 6 to 10th.

2006-03-03T11:53:00.000-06:00

We have dived right into our next new and exciting unit, shapes and spaces (aka Geometry and Measurement). We have started this unit by examining angles. This week we will be constructing angles, measuring angles, Creating lines, properties of lines and how lines create angles. This will be an exciting week for everyone who is a fan of angles, drawing and using tools such as protractors.

Students will have homework twice this week combined with their blogger assignment.

Have a great weekend everyone and I will see you on Monday.

Mr. R

Assignment due Friday March 10th

2006-03-03T11:27:00.000-06:00

In math we are just starting a new and exciting unit on Shapes and Space, or more commonly known as Geometry and Measurement.

There are six questions in this assignment. For each one you must add the given angles together and tell me what the new angle would be in degrees, along with the name of the angle.

Example:
Angle 1 = 42°, Angle 2 = 48°. New Angle = 90°. This is a right angle.

Questions:
1. Angle 1 = 63°, Angle 2 = 37°.
2. Angle 1 = 28°, Angle 2 = 215°
3. Angle 1 = 134°, Angle 2 = 56°
4. Angle 1 = 32°, Angle 2 = 18°, Angle 3 = 40°
5. Angle 1 = 18°, Angle 2 = 16°, Angle 3 = 24°
6. Angle 1 = 72°, Angle 2 = 43°, Angle 3 = 8°, Angle 4 = 57°

To answer this assignment you must respond as a COMMENT to this post. I will publish the comments next weekend, so you do not have to publish the comment more than once, I will have received it, but I am waiting for all submissions before I publish the answers.

Happy blogging everyone and enjoy the weekend.

Mr. R

Percent Models

2006-03-01T09:06:00.000-06:00

Remember that the percent dolls booklet and the model itself are due Thursday in class. You will be evaluated on both the booklet and your model. You need to make sure that all members of your group are written on the last page of your book, and that you have identified your model as belonging to your group.

Mr. R

Sunday Night Math Game

2006-02-26T14:51:00.000-06:00

Here is the Sunday night math game. While this game does not directly use math, it involves logic and puzzle solving. I will warn you that it is highly addictive, at least if you enjoy puzzles. You can choose to download the game to your computer or play online.

Happy gaming and blogging everyone.

Mr. R

Week of Feb 27th to March 3rd

2006-02-26T14:40:00.000-06:00

On Monday and Tuesday we will be working on our Percent "Models" or "Dolls". Everyone remember to bring in supplies from home to use to construct your dolls. Possible suggestions include: Pipe cleaners, toothpicks, straws, popsickle sticks, string, yarn, cardboard, empty paper towle and toilet paper rolls etc.

On Wednesday and Thursday we will be gathering all of our work together to get our math portion of our portfolios ready to show our parents for student lead conferences .

Student lead conferences are Thursday night and Friday day.

Friday is an inservice so enjoy the time off, unless you are coming to school to show your parents all of the great work that you've been doing this past year.

Have a great weekend everyone and see you tomorrow!

Mr. Reece

A sunday afternoon brain teaser

2006-02-26T14:38:00.000-06:00

See if you can solve this puzzle. Moving only three pennies can you flip this triangle upside down?

If you are having problems try using real pennies

Mr. R

Language Translator

2006-02-23T21:23:00.000-06:00

I've added a language translator to our blog site. This translator allows you to view the blog in any one of eight different languages.

To use the language translator simply click onto the flag corresponding to the language which you wish to covert the blog into.

Its that simple

Happy Blogging everyone!
Mr. R

Assignment due Tuesday Feb 28th

2006-02-21T22:28:00.000-06:00

Now that everyone has gained some experience using our class blog your new assignment is to go out and find a link to a blog that interests you. You then need to leave a comment of some sort on this blog (what the comment can be is up to you, but remember to keep it appropriate for school.)

What you need to post on YOUR CLASS BLOG

1) The name or title of the blog
2) The web address of the blog
3) The post that you left a comment to

Remember that the blog does not have to be school related, if you have an interest in basketball look for a blog on basketball, if you are interested in horses, look for a blog on horses etc.

How to search for a blog. On your dashboard screen (when you first log in) there is a box on the right hand side of the screen labelled Blogsearch. Just type in the topic of the blog that you are searching for and hit search. Blogger will give you a list of blogs that match your search criteria at which point you get to choose which blog to visit. This is very similar to searching on google or yahoo.

Happy searching everyone and enjoy exploring blogger.

Mr. R

Sunday night math game

2006-02-19T20:25:00.000-06:00

Here is my weekly game that I wish to share with everyone. This game is a little bit different in that you must unfortunatly download a file to your computer and play the game from your computer, and not online. While this is a game it requires you to use your logic and puzzle solving skills to complete each level. Happy gaming everyone!

Click Here to go to the website to download the file.

Mr. R

Assignment due Friday February 17th

2006-02-16T20:43:00.000-06:00

There have been some students submitting great Brain teasers over the past few weeks and I have collected some of my favorites for everyone to solve.

Your assignment is to solve one of the these four brain teasers that have been submitted by your fellow students.

Remember you only have to try to solve on of the brain teasers to earn your blogger marks for the week

TEASER #1 (Submitted by Renegade, modified by Mr. Reece)

There are three cats on one side of the river and three dogs on the other side. The dogs and cats wish to switch sides of the river. You must therefore transport the dogs and cats using your boat to the opposite sides of the river. Now here are the problem that you must deal with

1 - You can never have more dogs than cats on one side of the river as the dogs will eat the cat.

2- You must always have at least one dog or cat with you everytime that you cross the river.

3 - You can never have more than two animals in the boat at the same time.

TEASER #2 (Submitted by Brandon)
Your objective is to buy exactly 100 farm animals with exactly 100 dollars. You must buy at least 1 of each animal. You may need some paper!

The Costs:
Cows: $10 each
Pigs: $ 3 each
Chickens: $0.50 each

TEASER #3 (posted by Jay)
There is a group of friends wanting to know who is the fastest runner out of all of them. Jane runs the lenghth of the football field in 1 minute. Jill runs the same lenghth but she is 30 seconds faster then Jane. The last two people who ran where Alison and Jen. They ran the same length at the same time but Jen ran 5 seconds faster then Alison. Alison ran the lenghth of the field in 55 seconds. Can you list the times from fastest to slowest?

TEASER #4 (Submitted by Ardia)
The fish market is selling different kinds of fish. But there aren't any prices listed. You ask about the prices, but all the seller will tell you is this:
• A pound of salmon and a pound of bass are $12.
• A pound of bass and a pound of swordfish are $10.
• A pound of salmon and a pound of swordfish are $8.
• A pound of swordfish and a pound of catfish are $5.
• Each price per pound is a whole-dollar amount.

What is the price of each fish?

To answer any of these 4 brain teasers please send a comment to this post stating which question you are answering and your answer. If you have already answered one of these brain teasers or you are the original author you must answer a different brain teaser.

Happy puzzle solving!

Mr. R

2006-02-16T08:48:00.000-06:00

Hello

Week of Feb 13 to 17

2006-02-13T13:34:00.000-06:00

Spirit week is upon us grade 7's which means that there will be very little time spent in classrooms this week, but that does not mean that our learning has to end as well.

Assignments that are due by this Friday at 9am so that they can be recorded onto our term 2 report card.

TLE - Check your own blog for more information on what is due.

Blog Assignment - You need to solve one of the 4 brain teasers that have been submitted by your fellow students. You must reply as a comment to the original brain teaser post in order to receive credit

Classroom assignment - You must post both the question and a solution for your assigned problem on the blog. You must post as well the final letters that outline the secret word. You must post this on your own classroom blog.

Quiz Corrections - If you wish to make corrections either of the sheets from the quiz you MUST MAKE THESE CORRECTIONS ON A SEPERATE PIECE OF LOOSELEAF PAPER or else you will not receive credit. These corrections are due by Friday morning.

So enjoy your time off from the classroom, participate in spirit week, keep learning and most importantly have FUN!
Mr. R

Sunday Night Math Game

2006-02-12T22:19:00.001-06:00

Here is the Sunday night math game for everyone to enjoy. There are eight levels I believe and trust me while the first level or two might seem easy, it can get challenging rather quickly.

As for TLE we will chat on Monday as to what will be due for this term's report card.

Have a great night everyone

Mr. Reece

Term 2 coming to an end

2006-02-09T21:08:00.000-06:00

Hello everyone. I wanted to update you on a few important matters

1 - The mini test that you wrote today was out of 30 marks and will be included on your second term report cards. I will get the corrected mini test back to you on monday so that you can get your corrections made and hand them back to me on wednesday or thursday so that I can enter the new improved mark on your report card.

2 - TLE You have to have all of these TLE exercises finished before Friday February 17th. This includes both the worksheets and the self-checks on the computer.

Introduction to Decimals
Introduction to Integers
Adding Integers
Subtracting Integers
Exploring Decimals
Multiplying Decimals
Order of Operations

You will have two more time periods in either the junior high lab or Mr. Harbeck's room. If this is insufficient time you must come in on your own time in the morning, lunch hour or after school till 4:30pm.

Have a great evening and weekend everyone!

Mr. R

New Math Game

2006-02-09T21:04:00.000-06:00

While I realize that it is not the weekend, I found this great puzzle online that I wanted to share with all of my students. Click HERE to go to the website and give this game a try.

Enjoy!
Mr. R

Sample questions

2006-02-08T18:56:00.000-06:00

Here are some sample questions similar in nature to what you will have to solve tomorrow on the test.

Order of operations:
Remember that you can use your calculator for this part of the test.

1. (8+4) x 4 - (70 ÷ 7) =

2. (40 + 2) ÷ (12- 5) x 32 =

3. 6 x (3 x 2 ) + 14 – 40 =

4. 7 x 5 – ( 14 – 3) =

5. 6 x 4 ÷ 8 + 60 ÷ 10 =

Word questons, get the exact answer

6. You are off to the mall to buy some clothes. You buy a shirt costing $12.95, some lunch at $4.65, a backpack costing $42.99 and a pack of gum for 89 cents. How much money have you spent in total?

7. You are painting the walls in your bedroom. Two of the walls are 2.5m long, while two of the walls are 4.3m long. All of the walls are 2.3m tall. If you know that the area of a wall is length x height, what is the total area in m that you are going to paint?

Word questions, estimate the answer only.(remember think happy numbers!)

8. You are throwing a surprise birthday party for your best friend. You've invited 20 people and plan for everyone to show. Now you are going to buy 8 bags of chips at $2.09, a package of party hats for $3.96 and a new dance CD to listen to for $12.49. How much money do you need to bring with you remembering that if you don't bring enough money you can't buy everything.

You will find the solutions to these blog questions below.

As well if you want some more practice on order of operations, try questions 9 to 22 on page 99 of your textbook.

Cheers my grade 7's

Mr. R

Answers to the sample questions

2006-02-08T18:30:00.000-06:00

1. (8+4) x 4 - (70 ÷ 7) =
Step 1: Solve the brackets so 8 + 4 and 70 ÷ 7: (12) x 4 – (10) =
Step2: Do the multiplication 12 x 4: 42 – 10 =
Step 3 Subtract: = 32

2. (40 + 2) ÷ (12- 5) x 32 =
Step 1: Solve the brackets 40 + 2 and 12 -5: (42) ÷ (7) x 32
Step 2 Divide and multiply from left to right. 6 x 32 = 192

3. 6 x (3 x 2 ) + 14 – 40 =
Step 1 solve the brackets 3 x 2: 6 x (6) + 14 -40 =
Step 2 multiply: 6 x 6: 36 + 14 – 40
Step 3 add and subtract from left to right: 50 – 40 = 10

4. 7 x 5 – ( 14 – 3) =
Step 1 solve the brackets 14 – 3: 7 x 5 – (11) =
Step 2 multiply 7 x 5: 35 – 11 =
Step 3 subtract 35 – 11 = 24

5. 6 x 4 ÷ 8 + 60 ÷ 10 =
Step 1 multiply and divide 6 x 4 = 24: 24 ÷ 8 + 60 ÷ 10
Divide 24 ÷ 8 = 3 so 3 + 60 ÷ 10 =
Divide 60 ÷ 10 = 6 so 3+ 6 =
Step 2 Add. 3 + 6 = 9

Word questons, get the exact answer

You are off to the mall to buy some clothes. You buy a shirt costing $12.95, some lunch at $4.65, a backpack costing $42.99 and a pack of gum for 89 cents. How much money have you spent in total?

Answer: Add the totals 12.95 + 4.65 + 42.99 + 0.89 = $61.48

7. You are painting the walls in your bedroom. Two of the walls are 2.5m long, while two of the walls are 4.3m long. All of the walls are 2.3m tall. If you know that the area of a wall is length x height, what is the total area in m that you are going to paint?

Answer: two walls = 2.5 x 2.3 = 5.75m per wall so 11.5m in total.
Two walls equal 4.3 x 2.3 = 9.89m per wall so 19.78m in total. Add these together to get 31.28m in total for all four walls.

Word questions, estimate the answer only. (remember think happy numbers!)

You are throwing a surprise birthday party for your best friend. You've invited 20 people and plan for everyone to show. Now you are going to buy 8 bags of chips at $2.09, a package of party hats for $3.96 and a new dance CD to listen to for $12.49. How much money do you need to bring with you remembering that if you don't bring enough money you can't buy everything.

$2.09 is close to $2.10 x 8 = $16.80
$3.96 is close to $4.00
$12.49 is close to $12.50

Add them together to get $33.30 dollars

Need to bring a minimum of $33.30. If you estimated upto $35 and you showed the numbers that you used you would be correct!

Alternate answer
$2.09 is close to $2.25 (extremely happy number) x 8 = $18
$3.96 is close to $4.00
$12.49 is close to $13.00
Total is $35.00

Good luck tomorrow everyone!

Some examples of great scribe notes

2006-02-06T15:14:00.000-06:00

In order to help get you started on the road to scribing I have included a few links to some scribe notes taken by other students in other math classes.

These three posts are from grade 9 mathematics
Super (Secret) Scribe
Scribe or What
Scribe

The next three scribe posts are from Mr. H's math classes
Feb 3rd Scribe Post
Scribe
Annalyn's Scribe

This should give you ideas over what you can do with a scribe post. Remember I don't expect the world, but don't feel as if you are limited either. Be creative, let your voice be heard and share your knowledge with your classmates.

Mr. R

The Scribe is beginning

2006-02-06T15:02:00.000-06:00

Today is an exciting day for myself as a teacher, for you the students are truly becoming involved in each other's learnings; The sribe posts have begun in 7-72. Don't worry 7-42, 7-43, 7-44 your time will come soon enough, you too will have the opportunity to teach your fellow students.

So what is the reponsibilities of the scribe you ask? Well they are as follows:

1 - What happened in class today, i.e. what did we do. Did we just take notes, did we participate in an activity, was there group work etc.
2 - What did we learn during these activities, Mr. Reece's ramblings etc.
3 - What new information were we presented with (this is where you get to teach and share with one another, very important!)
4 - Is there anything that I did not understand that my classmates/Mr. Reece can help me with?
5 - Is there any homework
6 - Are there any links relating to today's class.

Remember your job is to reteach the class for those that were not there in body or mind. You need to summarize the notes, provide examples of questions done in class and pick a scribe for the next day. Being a scribe is meant to be fun.

The amount of effort put in is up to you, but the more you do, the more your classmates benefit.

Mr. R

Sunday night math game

2006-02-05T21:27:00.000-06:00

Here is a link to play the game called mastermind. in this game of strategy you have to correctly place the coloured pegs into the correct hole. While it sounds simple it can be very challenging depending on how many colours you choose to play with. Two colours is the easiest, while 6 colours will keep your brain working overtime.

Enjoy!

Mr R.

February First Math Assignment

2006-02-01T20:36:00.001-06:00

You must publish your response to this math question as a comment to this post. I will not accept answers that are left as posts on your blog or as comments to another post, it must be a comment to THIS POST ONLY

Problem:

Mr Reece has $82.00. I'm off to the mall to do some shopping. First I buy a DVD and then some lunch, with my lunch costing half the price of the DVD. I now spends half of what I have left on a new pair of pants, leaving me with $29.75.

How much did the DVD cost?

How much did my lunch cost?

Remember to answer this question as a comment to this post!

Happy puzzle solving.

Mr. R

The Learning Equation

2006-01-30T08:02:00.000-06:00

Here are some due dates for TLE assignments

Friday February 3rd - Exploring Decimals
Friday February 10th - Mulitplying Decimals

You should be completely finished exploring decimals by the time that you read this blog, and be working on multiplying decimals. You will be given one more class period in the lab to work on multiplying decimals.

Have a great week everyone!

Mr. R

Weekly Math Game

2006-01-30T08:00:00.000-06:00

This is a fairly easy math game for everyone as it deals with addition, subtraction, multiplication and division. Click Here to be taken to the game. Enjoy everyone!

Mr. R

Another math game

2006-01-24T21:28:00.000-06:00

AS many of you have tried the last game that I posted I shall share another game with you. This game involves using your memory and remembering a pattern. It is quite addictive as well so I will warn you before you try it. The name of the puzzle is simon Says. See if you can remember to follow the pattern exactly.

SIMON SAYS

Assignment for the week of January 23 to 30th

2006-01-23T19:24:00.000-06:00

So most of us have finally logged on to Blogger, but most of us still are rather apprehensive of using a blog to its potential.

As you all know you were handed back your tests today, and everyone should have their tests by the end of tomorrow. As well I have extended the deadline to Monday to correct your errors, if you so choose, on your test and submit it for marks. Remember that you must use a seperate piece of looseleaf for your corrections.

So here is your assignment.

You must do one of two things.
1 - Create a post on something that you did understand from either the test or this week's class, remember just simply saying I didn't understand question 40 on the test, or happy numbers doesn't work. You need to decribe your problem in more detail, such as I don't understand how come 0 and 5 are the only two happy numbers.

2 - Your other option is to help out a fellow student by creating a comment on their post. This helping hand must give them the information that they need to help solve their problem, not just the answer. The information that you would have to provide someone is very similar if not identical to what you have to do with your own test in order to gain additional bonus marks.

You can submit your post or comment up until Monday at 7pm after which I will not accept for grades any additional posts or comments. This does not however meant that you should discontinue posting questions, or creating comments on classmates posts.

Mr. R

Sunday Night Math Puzzle.

2006-01-22T23:12:00.000-06:00

This is a link to a puzzle that should challenge everyone in the class. I know that you can all complete the puzzle, but you need to take your time.

Happy puzzle solving everyone.

Here is the site

Mr. Reece

Brain teaser - How Many coins

2006-01-22T23:10:00.000-06:00

Question.
A bag holds 50 coins that add up to $1.00. How many coins of each denomination (value) are in the bag?
Remember the available coins are pennies, nickels, dimes and quarters. You cannot use a loonie as this would put you over your limit with 1 coin.

Mr. R

Brain teaser

2006-01-19T22:12:00.000-06:00

See if you can discover the pattern, Mr. R

Ancient Patterns

Twins Sari and Devon have gone to the jungles of South America to explore the lost city of Xaitec with their parents, who are part of a team of archaeologists. The path to the great temple is lined with pairs of stone columns, but the pairs of columns are not evenly spaced. Using a meter tape, the twins measure the distances between successive pairs of columns. Starting from the temple, the distances between pairs of columns are 7.8 m, 7.8 m, 15.6 m, 23.4 m, and 39 m. Since the paved road between the columns continues for some distance, the archaeologists suspect there are more fallen columns hidden in the jungle growth.

Where should the twins tell the archaeologists to look for the next pair of columns?

Answers for questions 65,66,69,70

2006-01-17T20:19:00.000-06:00

65. You need to decide where to put some brackets in the question. Remember that the first order of operations are the brackets.

I am going to rewrite 3 squared as 3x3 as I cannot make the small 2 on this blog.

(-1) x (-7) + (+3)x(+3)
Well lets first calculate 3x3

(-1) x (-7) + (+9). Now we need to get an answer of -2. If I look at this equation I can see that -7 + +9 gives me +2 which is the opposite of -2. I can also see that multiplying anything by -1 gives me its opposite. So

(-1) x ((-7) + (+9)) =
(-1) x (+2)= -2
Which is the answer that we wanted.

#66. We need to once again get an answer of -2. I will write 4 sqaured as 4x4

(+4) x (+4) - (+10) ÷ (+2) - (+5)=
well 4x4 = 16 so
(+16) - (+10) ÷ (+2) - (+5). I am just going to try doing the equation from left to write and ignore the order of operations.

(+16) - (+10) ÷ (+2) - (+5) = Rewrite the equation as we cannot subtract
(+16) + (-10) ÷ (+2) + (-5) =
(+16) + (-10) = +6 so
(+6) ÷ (+2) + (-5) = and 6÷2 = 3 so
(+3) + (-5) = -2. So our answer is to put brackets around the 4 squared and -10 as we want to do this part first.

#69.I will figure out the rating for each player first. Their rating is based upon Goals scored - Goals against.

Fragnito +38 - +42 = -4
Chan +59 - +41 = +18
George +26 - +24 = +2
Petty = +34 - +55 = -21
Lloyd = +45 - +51 = -6
The rankings go from best to worst, or the largest postive number to the largest negative number, which is +18, +2, -4, -6, -21

#70. To find the average of the temperatures you need to add all of the temperatures together and then devide by the number of cities.
So -24 + -22 + -24 + -20 + -35 + -36 + -14 = -175 total temperature ÷ 7 cities =

-175 ÷ 7 = -25

Practice Word Questions

2006-01-17T19:59:00.000-06:00

Here are a few practice word questions. I will post the answers in another post that you can find lower on my blog.

#1. Lucia's father bought a stock whose value was $49. Over teh nest 5 weeks the value of the stock dropped by $3 per week.
Questions
a) What is the current value of the stock?
b) What value had the stock lost after 4 weeks?

#2.Andrew and Megan were on a school quiz team. They were awarded 10 points for each correct answer and they lost 5 points for each incorrect answer. If they answered 15 questions correctly and 7 questions incorrectly what was their final score?

#3.Its Monday and its lunch time and you are hungry. You borrow $3 from one friend and $2 from another. On tuesday you bring enough money to repay both friends and still have $4 left over to buy a drink and sandwich. How much money did you bring with you to school?

Answer to the Study questions

2006-01-17T19:54:00.000-06:00

Combine the Following Integers

1. +4 and -7. = -3. 4 negatives and 4 positives make 4, leaving 3 negatives remaining. So the answer is -3
2. +8 and -6 and -3 = -1. Combine the negatives together which gives -9. +8 and -9 means that we have 1 extra negative.

Solve the Following Problems
3. (-4) + (+2) + (+3) = (-4) + (+5) = +1
4. (+4) + (+3) + (-9) = (+7) + (-9) = -2
5. (-5) - (+2) - (-7) = (-5) + (-2) + (+7) = 0. We cannot subtract, we can only add. Instead of subtracting, we add the opposite of the number after the subtraction. We add the opposite of -2 which is +2, and we add the opposite of -7 which is +7.
6.(+7) - (+6) - (+4) = (+7) + (-6) + (-4) = -3. We add the opposite of +6, which is -6 and we add the opposite of +4 which is -4 to +7, which gives us -3
For Multiplying and Dividing we do two steps.
i)We count the number of negative signs, if the total is odd then the answer is negative, if the total is even then the answer is positive.
ii)We now calculate the answer but disregard the + and - signs.
7. (+4) x (-8) x (-1) = 4x8 = 32. 32x1 = 32. The answer is +32
8. (+7) x (-2) x (+2) = 7x2 = 14. 14x2 = 28. The answer is -28
9. (-4) ÷ (-2) = 4÷2= 2. The answer is +2
10. (-42) ÷ (-3) ÷ (-3) = 42÷3=12. 12÷3=4. The answer is -4
11. (+7) x (+8) ÷ (+2) = 7x8=56. 56÷2=28. The answer is +28
12. (-6) ÷ (-2) x (+10) =6÷2=3. 3x10=30. The answer is +30

Study Questions for Integer Test

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Combine the Following Integers
1. +4 and -7 =
2. +8 and -6 and -3 =

Solve the following problems
3. (-4) + (+2) + (+3) =
4. (+4) + (+3) + (-9) =
5. (-5) - (+2) - (-7) =
6. (+7) - (+6) - (+4) =

Mulitply and Divide the following problems
7. (+4) x (-8) x (-1) =
8. (+7) x (-2) x (+2) =
9. (-4) ÷ (-2) =
10. (-42) ÷ (-3) ÷ (-3) =
11. (+7) x (+8) ÷ (+2) =
12. (-6) ÷ (-2) x (+10) =

If you can solve these 12 questions you should be fine for the test on wednesday.

I will post answers to these questions, along with the steps to solving them tomorrow.

Happy Blogging everyone

Mr Reece

Sunday Night Math Game

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I will be posting a new online math game every Sunday. I might post some games on other days as well, but you can be sure that there will be a new post on Grade 7 Math Blogorama every Sunday.

BBC Games

I suggest trying some of the Number games as they are a great review for concepts that we have covered and will be covering in math.

Have a great night

Mr Reece

Answers to the word problems

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#1. Lucia's father bought a stock whose value was $49. Over teh nest 5 weeks the value of the stock dropped by $3 per week.
Questions
a) What is the current value of the stock?
The stock started at $49 and dropped $3 per week. We can write an equation to help us solve this problem. (+49) for the starting amount and (-3)x(+5) where -3 is the lost value and +5 is the number of weeks.
(+49) + (-3)x(+5) =
(+49) + (-15) = +34
or the value of the stock is $34

b) What value had the stock lost after 4 weeks?
I will create an equation again. (-3) x (+4) = -12 or the stock had lost $12

#2.Andrew and Megan were on a school quiz team. They were awarded 10 points for each correct answer and they lost 5 points for each incorrect answer. If they answered 15 questions correctly and 7 questions incorrectly what was their final score?

Lets create another equation to help us solve this problem. The correct answers = (+10) x (+15) where +10 is points per question, and +15 is the number answered. For incorrect answers = (-5) x(+7) where -5 is the points per questions and +7 is the number answered incorrectly. Our equation now is
(+10)x(+15) + (-5)x(+7) =
(+150) + (-35) = +115 points.
Megan and Andrew have +115 pts.

#3.Its Monday and its lunch time and you are hungry. You borrow $3 from one friend and $2 from another. On tuesday you bring enough money to repay both friends and still have $4 left over to buy a drink and sandwich. How much money did you bring with you to school? Lets create an equation again. -3 and -2 are the value of money borrowed from friends. +4 is what you have left over so

(-3) + (-2) +(___) = (+4)
(-5) + (____) = (+4)
(-5) + (+9) = (+4)

So the answer is that you brought $9 with you to school on Tuesday.

Hello Grade 7's

2006-01-11T21:56:00.000-06:00

Welcome to your new blog space. Get used to it because you will be doing it next year. I hope you use your space wisely. This is an extention of your classroom and people are watching. You would be amazed. I have had visitors from Alabama and Texas already.

Check out the Grade 8 blog here.

Try some Integer Games at this link. You need to know them next year. Integers are important. Really they are!!!!!!!!!

H

Math challenge

2006-01-11T21:41:00.000-06:00

For anyone who is interested in a puzzle that will challenge your mind check out this link. A warning though as the puzzles can quickly become addicting.

Math Puzzle

Test Information

2006-01-11T21:40:00.000-06:00

Some students have been asking when the Unit test on Integers will take place. The test will occur next week on either Tuesday or Wednesday. I will make sure to let everyone know over the next few days

This is a portal

2006-01-08T22:04:00.000-06:00

Each grade 7 class has their own independent blog site where you will do all of your own postings, questions scribe notes etc. The main grade 7 math blogorama will be the the area that I post questions, helpful hints, links and other useful resources for all grade 7 students. Feel free to reply to my posts, but please limit new original posts to your own class blog domain.

Have fun blogging everyone and remember this is your online community, use it and respect it.

Welcome to Grade 7 Math

2005-11-21T19:57:00.001-06:00

This blog site is will act as the meeting point outside of class for the grade 7 math students of Sargent Park School. Feel free to discuss any questions or problems that are related to mathematics, or share with your fellow student web based resources and tools that everyone can use to enhance their math learning.

Welcome to our new online learning environment Grade 7's

Mr. Reece

image

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