Math Books

Please remember to bring back your math books.

Chapter 5 Assessment

Bring in the answers on Monday.

Trading up?

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

Complete Chapter 3 and Chapter 4 assessments for Wednesday.

Assessments

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

Fantasy Stocks

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

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

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

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

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

Test: Monday

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

Space Figures and Nets

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

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

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

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

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

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

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

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

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

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

Practice by going over the Chapter 9 Assessment quiz.

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

Rotations

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

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

Anyone know who Escher is?

Rotations, Translations and Reflections

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

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

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

Polygon angle measurements and equations

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

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

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

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

Reteaching: Angle Relationships

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

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

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

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

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

Probablity vs. Odds

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

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

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

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

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

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

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