Seven's Math Spot

Math Books

2009-06-23T11:48:00.001+08:00

Please remember to bring back your math books.

Chapter 5 Assessment

2009-06-19T14:21:00.001+08:00

Bring in the answers on Monday.

Trading up?

2009-06-17T15:25:00.002+08:00

Tomorrow you will have an opportunity to trade in stocks and buy some new ones. Research companies that have been going up.

Decide tomorrow whether you want to swap out.

Complete Chapter 6 assessment tonight.

Assessments, Part II

2009-06-16T11:06:00.001+08:00

Complete Chapter 3 and Chapter 4 assessments for Wednesday.

Assessments

2009-06-15T11:05:00.000+08:00

Complete Chapter 1 and Chapter 2 Assessments tonight. Answers will be given in class tomorrow.

Fantasy Stocks

2009-06-09T15:37:00.003+08:00

We're starting our fantasy stock game that will run through the rest of the year.

Using Bloomberg and the list of the S&P 500 stocks, pick three you think your team should invest in. Write up why you think these stocks are a good investment.

Volume of Spheres, Pyramids and Cones

2009-06-03T12:14:00.003+08:00

Cones and Pyramids

1/3 Bh

** Remember that the B is capitalized. That means that you have to find the area of the base shape.
- For a cone, find the area of the circle.
- For a pyramid, find the area of the parallelogram

Spheres
4/3 x pi x radius cubed (that's to the 3rd power)

WOW ... check out this online calculator that you can use to check your work for spheres!

Volume - Prisms

2009-06-01T12:21:00.002+08:00

Rectangular Prisms

length x width x height

Just multiply them all together to get your answer. Remember the measurement is cubed -- (that is expressed as a small 3 exponent).

Triangular Prisms

1/2 lwh

Remember that a triangle is half of a parallelogram. Thus the volume is divided in half at the end in a triangular prism, as well.

Finish 10-7 for Wednesday. No class on Tuesday because of swimming!

Surface Area of Prisms and Cubes

2009-05-26T11:17:00.002+08:00

The formulas are long, but if you follow them closely, you can figure out the surface area of prisms and cubes with ease.

Need to see the formulas for these shapes again? Check out this site.

Tonight finish questions 1-20 on the worksheet handed out in class.

No Homework

2009-05-25T14:03:00.001+08:00

We'll review today's quiz tomorrow, and then pick up by learning about surface area!

Test: Monday

2009-05-21T13:38:00.000+08:00

Use your study guide to prepare for our quiz on Monday. No class on Friday.

Space Figures and Nets

2009-05-19T14:53:00.001+08:00

Three dimensional shapes are also known as space figures.

Based on the number of bases and the shapes of their faces, you can classify them as:

prisms
pyramids
spheres
cones
cylinders

Tonight, study your definitions and answer the questions on Practice 10-4.

Drawing 3-D Shapes in 2-D

2009-05-18T11:44:00.000+08:00

Last week, we practiced drawing 3-dimensional shapes on iso dot paper. The shapes you came back with over the weekend look great!

Now, we're looking at how these shapes look in a two-dimensional landscape, forgetting about depth and perspective.

Tonight, look at the shapes on page 520 in your text. Draw each shape from the front, top and right side view.

Due tomorrow.

Isometric Figures

2009-05-15T13:28:00.002+08:00

Today we drew some isometric shapes. Some of you were able to do it quickly, for others it wasn't that easy to see and draw in 3-D.

Make sure to hold the paper in a landscape view, and never draw lines that are horizontal!

Finish four of the drawings over the weekend.

Area of a Circle

2009-05-14T10:23:00.005+08:00

Today we saw how the area of a circle relates to the area of a parallelogram.

If we cut a circle and rearrange its parts to be rectangular, we can see that the height is equal to the radius of that circle

The length or base is equal to half the circumference (3.14 x r) of the circle.

Therefore, the area of a circle is 3.14 x r xr

Look at the site Math Goodies for a good refresher.

Tonight, complete Practice Worksheet 10-2.

Reviewing Trapezoids

2009-05-13T10:31:00.000+08:00

Yesterday we had some trouble with trapezoids.

Look online at some sites to help you if you are still having trouble. Try this one, too: Trapezoid Calculator.

Remember: the lines that are parallel are your bases.

Complete Reteach 10-2 tonight.

Area of Triangles and Parallelograms

2009-05-12T14:47:00.002+08:00

Practice 10-2 goes along with today's lesson on area of triangles and trapezoids.

Area of a triangle
1/2 base x height

Area of a trapezoid
1/2 h (base1 + base2)

Want to review today's lesson? Look at this great PowerPoint.

Area of Parallelograms

2009-05-11T12:39:00.002+08:00

Rectangle, square, rhombus or parallelogram, it doesn't matter. Use the same formula when figuring out the area of these polygons.

A=base x height
or
A=bh

Need help? Check out this quick demo video.

Tonight, finish worksheet 10-1.

More Mulitple Choice

2009-04-21T10:39:00.001+08:00

With conferences on Wednesday, we will not meet again until Thursday.

Please complete pages 38- 41 questions 1-16 in your Stanford books.

SHOW YOUR WORK!!

Stanfords -- 3 days left to practice

2009-04-20T14:35:00.001+08:00

Can you believe we'll only have four more days of review?

We miss school on Wednesday and then we're in Beijing the following week.

We'll be doing drills and word problem practice this week in preparation. And maybe I'll get some good math riddles ready to pass the time on the bus for next week ....

Tonight, please do questions 22-32. We'll check the answers tomorrow in class.

Stanfords

2009-03-16T13:47:00.001+08:00

We will not be meeting again until Thursday.

Please complete questions 1-48 in your Stanford practice books. Work should go on a separate piece of paper.

Good luck at Sports Day!

Review for the Quiz

2009-03-13T10:59:00.005+08:00

Practice by going over the Chapter 9 Assessment quiz.

Here's another site that has a mixed review, too.

Rotations

2009-03-12T07:51:00.000+08:00

What we learned: When you rotate figures, there is a pattern to the numbers. The first number in the coordinate pair moves to the back. The second number turns negative and slides to the first position.

For instance, if a point A is at (3,2), and 90 degree counterclockwise rotation will bring it to (-2, 3)

Tonight, complete Reteach 9.10 and practice rotating figures 90 and 180 degrees.

Need more help? Check out this tutorial.

More Rotations, Reflections and Translations

2009-02-26T16:14:00.001+08:00

Complete pg. 345 tonight. We'll review and talk more about tesselations tomorrrow.

Anyone know who Escher is?

Rotations, Translations and Reflections

2009-02-25T16:14:00.000+08:00

You may have been using the terms flips, turns and slides in past classes, but we should get comfortable with the proper geometry terms.

Flips are reflections

Turns are rotations

Slides are translations.

Look at examples of these tonight on the worksheet handed out in class. Tomorrow, we'll have loads of activity sheets for you to practice on!

Congruence

2009-02-24T13:32:00.002+08:00

Congruent triangles have the same measure for sides and angles. The tricky part is figuring out which side matches the other.

Look at Practice 9-5 tonight, questions 1-17.

Need more help with congruent figures? Look here.

Study Angles, Polygons and Equations

2009-02-19T16:45:00.002+08:00

Your quiz will be tomorrow. Look at some of the backposts for some helpful sites that could help you!

Polygon angle measurements and equations

2009-02-18T16:46:00.000+08:00

We know that all triangles add up to 180 degrees. Aimed with that knowledge, we should be able to find out the measure of regular polygons by seeing how many triangles we can make from diagonals.

You can see above how it is done with the pentagon.

Check out this site to see other polygons and finish the worksheet handed out in class.

Also, there is more practice tonight with equations. Do questions a-j on Section 3.

Classify those polygons

2009-02-16T11:19:00.002+08:00

Do the worksheet handed out in class to find out of which Chicago basketball player had a bronze statue made of him.

Also, keep practicing solving multi-step equations. Answer questions 9-12 on Practice 7-2.

Need more help with these? Try these other sites for additional help.

Let us know if you find any of these links helpful.

Balancing Equations

Flashcards - choose Multiplication and Addition

Polygon Sorting

2009-02-13T14:41:00.001+08:00

Finish the Geodee worksheet handed out in class.

Also continue to practive solving multi-step equations. Finish questions 2-8 on Practice 7-2.

Polygons

2009-02-12T15:31:00.003+08:00

We've started to work with polygons. Refer to the reference sheets handed out in class to complete Practice 9-3.

Continue to practice multi-step equations, too, by doing questions 15-18 on Practice sheet 7-5.

Solving Multi-Step Equations

2009-02-11T15:26:00.001+08:00

Reteaching: Angle Relationships

2009-02-10T11:31:00.002+08:00

Tonight, you are looking at the reteach worksheet that repeats our lesson from yesterday.

Need more help? Look at these sites, too:

Vertical Angles - interactive practice using variables

Algebra Lab - check your answers when figuring out the measure of complimentary, supplementary and vertical angles.

I'm also available for extra help. Tomorrow during Homework club would be a great time!

Angle Relationships

2009-02-09T16:23:00.008+08:00

Adjacent angles share a vertex and a side, but no point.

Vertical angles are formed by two intersecting lines and are opposite each other. They always have the same measure.

Corresponding angles lie on the same side of the transversal in corresponding positions.

Alternate interior angles lie on the interior of a pair of lines and on opposite sides of the transversal.

When the lines are parallel, corresponding angles are equal. Pairs of alternate interior angles are also congruent.

This is useful when we need to find out the measure of an angle. For instance: Let Angle 1 = (x + 80), Angle 2 = (x + 20)

We should be able to see that as adjacent angles, 1 & 2 form a straight line. Straight lines = 180 degrees. (This also makes the two angles supplementary).

Once we have determined this, we can set up an equation:

(x + 80) + (x + 20 )= 180 Combine like terms.

2x + 100 = 180 Isolate the variable

2x + 100 - 100 = 180 - 100

2x = 80

x = 40 Plug in the value of x and check your work.

40 + 80 + 40 + 20 = 180 Correct!

Try worksheet 9-2 tonight. We'll review it tomorrow.

Lines, planes and points

2009-02-05T16:33:00.001+08:00

We had our quiz today. Tomorrow, however, we'll be jumping into our Geometry unit. Be ready by completing the two worksheets handed out in class.

Geometry Vocabulary

2009-02-02T11:27:00.001+08:00

Key Terms are on page 496 of your Math text book.

Draw a line down the center of your Math notebook. On one side, put the definition of the word. On the other, create a drawing that illustrates the word.

All words are due on Wednesday.

Spin the Wheel

2009-01-22T16:37:00.002+08:00

More work on probability, tonight. Finish "Spin the Wheel" worksheet.

Probablity vs. Odds

2009-01-21T14:49:00.002+08:00

Probability
number of favorable outcomes : all outcomes

Odds
number of favorable outcomes : number of unfavorable outcomes.

So in a deck of cards, you have a 12:52 (or 3: 13) probability of pulling a face card. However, the odds of pulling a face card are 12 to 40 (3 to 10).

Finish worksheet 6-4 tonight for homework. We'll finish our activity stations in class tomorrow.

Ratios to Percents

2009-01-19T15:01:00.002+08:00

When finding the percent of a ratio, think of how we tally simple scores:

In gym class, you hit 3 out of 4 baskets.
That's 75%!

You divide 3 by 4 to equal .75.
Remember that the denominator will always divide the numerator.

Then, move the decimal two places to the right to change your answer from 0.75 to 75%.

Practice with Enrichment 6-5 tonight.

Also please answer the open response question handed out in class on a separate piece of paper.
We'll go through the scoring sheets tomorrow.

Probability

2009-01-15T16:36:00.004+08:00

Take home the worksheet you had last night and complete it.

Also, study for out upcoming quiz! Study guides earn you 5 points.

Similar Figures and Scale Drawings

2009-01-08T11:55:00.002+08:00

Similar figures have the same shape, but not necessarily the same size.

We use this symbol ~ to show that figures are similar.

A scale drawing is either a reduced or enlarged drawing of an object or place. They often have a scale to show you the relation between the actual size and the scaled size. For instance 5 miles = 1 inch.

Complete 6:3 questions 1-14

Scale Drawing

2009-01-07T15:00:00.002+08:00

Choose a room in your house. Measure it. Then create a scale for it (1:20?).

With the modified dimensions, create a scaled drawing of that room.

Due in class tomorrow.

Proportions

2009-01-06T11:46:00.002+08:00

A proportion is when two ratios are equal to each other.

We can check to see if a proportion is equal by checking its cross products.

3/4 = 9/12

Multiply: 3 x 12 = 9 x 4

Both sides equal 36 so this is a legitimate proportion.

As we saw in class, though, you may have to solve for a variable.

3/4 = x/12

Multiply: 3 x 12 = 4x

36 = 4x

Divide each side by 4 to get the variable alone.

9 = x

Finish 6:2 tonight. Questions 1-7; 10-15; 18.

Rates and Ratios

2009-01-05T11:25:00.000+08:00

Review the difference between rates and ratios by completing questions 1-22 on the worksheet handed out in class today.

Assembly tomorrow

2008-12-18T11:12:00.001+08:00

So we'll miss our Math class. Have a great holiday!

Equivalent Ratios

2008-12-17T16:10:00.002+08:00

Please finish the worksheet 10-2 for homework.

And don't forget to complete your Vocabulary foldable. It needs to contain the following words:

ratio
rate
unit rate
proportion
Multiplication Property of Equality
cross products

Math in the Mall

2008-12-16T14:39:00.002+08:00

Complete the five questions on the worksheet handed out in class.

First figure out the discount for each item bought. Then, you will need to figure the sales tax.

Discount Records

2008-12-12T14:04:00.002+08:00

Everyone loves a sale! Finish up solving how much people spent and saved on the worksheet handed out in class.

Get a good bargain lately? Tell us about it.

Group Homework

2008-12-10T14:43:00.001+08:00

Please refer to what group you were in for your homework tonight.

Pre-algebra students are completing questions 1-18 on the review sheet for percents, fractions and decimals.

Speech Competition

2008-12-10T14:41:00.000+08:00

Win glory for your house and points towards your Humanities grade.

Entries are being called for this year's speech competition. Write a 2-minute speech on the topic of your choice for a chance to represent your house in next Wednesday's competition.

Students who submit a speech tomorrow will be forgiven their lowest grade in Humanities.

Groups

2008-12-09T11:24:00.002+08:00

Core Group: Please complete homework handed out by Mrs. Forster.

Pre-Algebra Group: Complete 1-19 odd on sheet 5.8, Solving Multiplication Equations

Two Part Math Class

2008-12-08T14:07:00.003+08:00

As part of a review, your groups were split in Math class.

Mrs. Forster's core group will complete worksheet #2

Ms. Larson's pre-algebra group will complete the Enrichment worksheet on adding and subtracting equations.

Study your conversions

2008-12-04T16:48:00.001+08:00

Look at Tuesday's post and follow the link to the interactive game. Be sure to review for a 'pop' quiz tomorrow.

Fractions to Decimals

2008-12-02T11:23:00.002+08:00

We continued to work on converting fractions to decimals.

Need to convert a fraction to a decimal?
Divide the numerator into the denominator

⅔ = 2 divided by 3 = 0.66

Need to convert a decimal to a fraction?
Say the decimal. Place the decimal over the denominator you say, and then reduce.

0.25 = twenty-five hundredths = 25/100 = 1/4

Practice more with this BBC game.

For homework, finish questions 23 - 34.

Review Worksheet

2008-11-27T16:40:00.003+08:00

Please go over some of the core lessons from the skills we've learned over the last week.

Finish the worksheet handed out in class. We'll go over it tomorrow morning.

Test on Wednesday

2008-11-25T14:34:00.001+08:00

Please make sure that you are studying for tomorrow's test. It will cover the following:

LCM
Comparing Fractions
Adding and Subtracting Fractions
Multiplying & Dividing Fractions

Remember, a completed study guide is worth 5 extra points!

Multiplying and Dividing Fractions

2008-11-21T15:23:00.000+08:00

Complete worksheet 5-4, all odd numbers.

Adding and Subtracting Fractions

2008-11-19T14:46:00.002+08:00

When adding or subtracting proper fractions, follow these steps:

1. Find the lowest common denominator -- or the LCM of the denominators.
2. Add the numerators
3. Simplify (reduce or change to a mixed number)

But what if you are adding mixed numbers?

1. Change your fractions into improper fractions
2. Follow from step 1 above.

Still have questions? Visit this tutorial.

Homework: 5-1 Q 1-6, 9-11, 13-20

LCM to compare fractions

2008-11-17T16:03:00.003+08:00

LCM = least common multiple.

Often, we use the LCM to find the least common denominator in a set of two or more fractions.

Then, you can convert your original fractions to equivalent fractions that have similar denominators so you can compare.

Got questions? Look at this slideshow for a refresher.

Tonight, finish questions 1-18 on Worksheet 5:1.

Quiz Tomorrow!

2008-11-13T17:01:00.001+08:00

Look at your notes and complete your study guide to get ready for tomorrow's quiz.

Don't forget: a completed study guide earns you 5 bonus points!

Simplifying Fraction II

2008-11-12T11:54:00.005+08:00

We reviewed how to simplify a fraction with a variable.

Tonight, try solving the problems on the worksheet by writing out all the factors and then crossing out terms that are similar

Look at the "top" and the "bottom" of this fraction. Find a common number that will divide evenly into both 36 and 24 (answer is 12).

Then, write out the factors of the variables.

xxxy

xyyyy

You can cancel out one x and one y based on the factors

The answer, then is:

Remember, quiz Friday!

Simplifying Fractions

2008-11-11T11:46:00.002+08:00

Simplifying fractions is pretty, well, simple.

1. Find the GCF between the numerator and the denominator

2. Divide the numerator and denominator by the GCF to get a simplified equation

Look at the examples below:

12/15
GCF = 3
Simplified fraction = 4/5

4ab/8b
GCF= 4b
Simplified fraction = a/2

Remember: Any number or variable divided by itself = 1.

Tonight, please complete questions 1-16 on Worksheet 4-4.

GCF

2008-11-06T17:37:00.002+08:00

Students should work on the worksheet they were given in class today.

Work will be due on Tuesday. Expect to be given a review sheet for the long weekend.

Let's keep our skills fresh.

Prime Factorization and GCF

2008-11-03T11:39:00.001+08:00

Please complete the Reteach 4-3 sheet for Thursday.

Need to review prime factorization? Try these interactive sites that will give you more practice.

http://www.mathgoodies.com/factors/prime_factors.html

http://www.mathplayground.com/factortrees.html

Prime or Composite

2008-10-30T11:42:00.002+08:00

If you didn't finish it in class, please color code your number mat: prime or composite.

Forget which is which?

prime number - is only divisible by one and itself
Ex. 5 can only be divided evenly by 1 and 5

composite number - has more than two factors
Ex. 10 can be divided evenly by 1, 10, 2 and 5

WRAT testing

2008-10-29T17:15:00.000+08:00

Today's test took up much of our class time today.

Please finish up the worksheet we started on Monday. You will finish 4-2 questions 17-28.

Exponents

2008-10-27T11:51:00.002+08:00

Exponents show the repeated multiplication of numbers. If you need some extra practice, try using this website to review:

FactMonster

Once you have it, complete Practice 4-2 Q1-16 for Wednesday.

Second Chance

2008-10-16T16:45:00.002+08:00

You've received your tests back. If you correct what is wrong, I'll average your two scores together.

Many of you need to take advantage of this opportunity ...

Pattern Stations

2008-10-02T13:18:00.000+08:00

Today we finished the last official day with our pattern stations. I'm proud of the hard work you put into this work.

Pattern Links

2008-09-25T17:03:00.000+08:00

Isn't it fascinating that a pattern can be represented as a graph, a table and an equation?!?

We'll be doing more link sheets tonight for homework and all through next week.

Please also complete the worksheet handed out in class.

Fibinocci

2008-09-22T19:24:00.000+08:00

One of the most famous patterns in the world was designed by the Italian mathematician, Leonardo di Pisa -- better known as Fibinocci.

His sequence goes like this: seed it with 0, 1 and then add the two numbers to get the next.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 ...

Get it?

Pattern Splash

2008-09-18T15:30:00.000+08:00

We were able to describe patterns in various ways in class today:

going up

rules

unknowns

increasing

continued numbers

That's great groundwork as we start our next unit. Tonight, please answer the questions on the worksheet handed out in class.

Boost That Grade

2008-09-17T15:20:00.000+08:00

Correct your test tonight and I'll average the two sores together.

Great chance to boost your score.

Magic Square

2008-09-10T14:49:00.000+08:00

We practiced them in class, and now it's your turn to build one.

Yours should follow these rules:

Be a 3x3 or 4x4 square
Include positive and negative numbers
Have one row that gives away the solution

Don't remember what a magic square is? Check it out here.

Subtracting Integers

2008-09-09T17:03:00.000+08:00

Subtracting integers can be really easy ... especially if you follow this rule:

Write the problem as a sum by changing the second integer to its opposite.

Ex. -6 - (-2) = -6 + 2 = -4

or

-6 - 2 = -6 + -2 = -8

Remember a double negative creates a positive.

Try the worksheet tonight and we'll review tomorrow in class.

Adding Integers

2008-09-08T15:50:00.000+08:00

Here's the most basic of rules:

The sum of 2 positive numbers = positive

5 + 2 = 7

The sum of 2 negative numbers = negative

-7 + -1 = -8

But you do need to watch the values of the numbers when adding a positive and a negative number.

4 + -1 = 3

4 + -8 = -4

Please complete the worksheet tonight for homework.

Integers and Absolute Value

2008-09-05T11:35:00.000+08:00

Integers are negative and positive numbers.

Absolute value tell us the distance a number is away from zero.

So both -3 and 3 have an absolute value of '3' since they are each 3 places away from zero on a number line.

This weekend, please finish questions 11-53 on pg. 19 & 20 of your book.

Evaluating Expressions

2008-09-04T16:52:00.000+08:00

If y = 6, then 5y = 30.

That's really all it takes to understand evaluating expressions. Homework is from the Practice Sheet handed out in class today.

Up for a challenge? You can try the practice quiz here.

Order of Operations - Day 2

2008-09-03T15:46:00.000+08:00

Please complete the Worksheet handed out in class today.

Please Excuse My Dear Aunt Sally

2008-09-02T17:09:00.001+08:00

That's the mnemonic we learned for the order of operations:

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Tonight you are completing pg. 11 Q 10 - 30 in your book. More practice with order of operation tomorrow.

Variables and Variable Expression

2008-09-01T12:36:00.000+08:00

Today we learned the difference between a variable expression and a numerical expression -- variable expressions have letters, numerical expressions only have numbers.

Tonight you should complete questions 10-29 on page 6 of your book.

Chapter One!

2008-08-29T13:52:00.000+08:00

Horray! We have books and are almost ready to start Chapter One.

First, however, I would like you all to copy out the vocabulary from the book. Math has its own language and its important for you to understand it. So just as we study vocabulary in a language class, we need to study the vocabulary of math.

Be ready with the work on Monday ... this is the type of assignment I love to make into a pop quiz.

End of Testing!!!

2008-08-28T11:11:00.000+08:00

Let's celebrate with no homework!

One more to go ...

2008-08-27T16:27:00.001+08:00

Geometry will be the last subject we tackle for testing.

I don't know about you, but I'm looking forward to getting into our work.

Tonight, try your hand at the sheet on integers. Be careful of the negative numbers thrown in there.

3 ... 2 ... 1

2008-08-26T15:08:00.000+08:00

Tonight you are again reviewing some skills you learned in previous years.

Try your best at dividing the decimals. Remember to move your decimal point up before you start dividing. It's the best way to remember where it goes.

AND NO CALCULATORS. I'm not testing your CALCULATOR skills, I'm testing your CALCULATING skills.

Measurement

2008-08-25T13:43:00.000+08:00

So we're through with Day 2 of testing ... just 3 more to go.

Tonight, I handed out a worksheet that reviews adding and subtracting fractions.

Remember: Find the LCM (that's least common multiple) for the denominator, change your fractions accordingly, and then add or subtract.

For instance:

2/3 + 4/8

1) The LCM between 3 and 8 is 24.

2) Change the fractions so the denominators are the same. The new fractions are 16/24 + 12/24

3) Answer is 28/24 or 1 1/6

Still have questions? Ask tomorrow.

Math Blog

2008-08-20T13:20:00.000+08:00

As I started thinking about the class, I thought that we might enjoy having a math blog.

For the first week, expect loads of testing -- five days of it to be exact. Some classes will be split, so testing is going on in each grade of the middle school.

Hang on, though, we'll be in full-swing soon.