December 22nd, 2009

LOG PROBLEM

What is the perimeter and area of rectangle that has a length of 2.34 mm and a width of 4.2 mm?

WORK TODAY

We logged onto a website today where we could calculate the perimeter and area of rectangles. Here is a link:http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/perimeter_and_area/index.html

HOMEWORK

What is the perimeter and the area of a rectangle with a length of 2.3 cm and a width of 9.2 cm?
MAKE SURE YOU SHOW FORMULA WORK!

December 18th, 2009

LOG PROBLEM

Solve for x:

20 = 2 + 3x

December 17th, 2009

LOG PROBLEM
What is the width of a rectangle that has a perimeter of 10 meters and a length of 3 meters?

WORK TODAY
Activity: We will measure the perimeter of our log books.

HOMEWORK
Perimeter Problems:
1. p = 25 cm, l = 4 cm, w = ?
2. p = 52 cm, l = 12 cm, w = ?
3. p = 300 cm, l = 60 cm, w = ?
4. p = 75 cm, l = 35 cm, w = ?
5. p = 5 cm, l = 1 cm, w = ?

December 16th

WORK TODAY
Quiz today on the distributive property and calculating perimeter.

HOMEWORK
Complete the worksheet handed out in class today.

December 15th, 2009

LOG PROBLEM

Simplify the following expression:
-2(9x-3) - 4(7x-8) -2

December 14th Problem Solutions:

1: 4(3x + 6) + 4(4x + 4)
12x +24 +16x +16
28x +40

2: 2(6x + 3) + 6(9x + 8)
12x + 6 + 54x +48
66x + 64

3: 3(9x + 5) + 5(5x + 6)
27x + 15 +25x +30
52x + 45

4: 9(8x + 5) + 4(7x + 7)
72x + 45 +28x + 28
100x + 73

5: 2(3x + 9) + 3(7x + 1)
6x + 18 + 21x +3
27x + 21

7: 5(5x + 2) + 7(9x + 1)
25x + 10 + 63x +7
88x + 17

8: 6(3x + 1) + 2(7x + 5)
18x + 6 + 14x +10
32x +16

December 14th Homework Solutions
1: -5(3x + 6) - 4(4x + 4)
-15x – 30 -16x -16
-31x -46

2: -6(6x + 3) - 6(9x + 8)
-36x -18 – 54x -48
-90x – 66

3: -4(9x + 5) - 5(5x + 6)
-36x – 20 -25x -30
-61x -50

4: -3(8x + 5) - 4(7x + 7)
-24x -15 -28x -28
-52x – 43

5: -8(3x + 9) - 3(7x + 1)
-24x – 72 -21x -3
-45x -75

CLASSWORK
1: -5(8x-3) - 3(7x-9) -8
2: 5(4x-12) - 3(9x-7) + 2
3: 9 (2x+ 8) + 2(-3x - 9) +12

HOMEWORK
Study for quiz on the distributive property and perimeter.

December 14th, 2009

LOG PROBLEM
What is the length of a rectangle that has a perimeter of 15.5 cm and a width of 3.4 cm?

Solution
P=2(l+w)
15.5cm = 2(l + 3.4cm)
15.5cm = 2l + 6.8cm
8.7cm = 2l
4.35cm = l

WORK TODAY
I passed back the quizzes dealing with the Distributive Property and combining like terms.
We also solved the following problems:
1: 4(3x + 6) + 4(4x + 4)
2: 2(6x + 3) + 6(9x + 8)
3: 3(9x + 5) + 5(5x + 6)
4: 9(8x + 5) + 4(7x + 7)
5: 2(3x + 9) + 3(7x + 1)
7: 5(5x + 2) + 7(9x + 1)
8: 6(3x + 1) + 2(7x + 5)
9: 7(6x + 3) + 3(9x + 1)
10: 9(2x + 2) + 8(4x + 9)
11: 8(7x + 1) + 2(7x + 4)
12: 7(3x + 9) - 9(9x + 8)
13: 9(6x + 1) - 2(6x + 7)
14: 6(3x + 3) - 8(5x + 3)
15: 8(4x + 3) - 2(2x + 6)

HOMEWORK
1: -5(3x + 6) - 4(4x + 4)
2: -6(6x + 3) - 6(9x + 8)
3: -4(9x + 5) - 5(5x + 6)
4: -3(8x + 5) - 4(7x + 7)
5: -8(3x + 9) - 3(7x + 1)

Solutions to first two problems:

1: -5(3x + 6) - 4(4x + 4)
-15x -30 -16x -16
-31x - 46

2: -6(6x + 3) - 6(9x + 8)
-36x - 18 -54x -48
-90x - 66

December 10th, 2009

LOG PROBLEM

What is the length of a rectangle that has a perimeter of 14.6 cm and a width of 3.2 cm?

Solution:
P=2(l+w)
14.6cm = 2(l + 3.2cm)

14.6cm = 2l + 6.4cm
-6.4cm -6.4cm

8.2cm = 2l
/2 /2

4.1cm = l

HOMEWORK
1. P = 12.1 m, w = 2.5 m, l =?
2. P = 7 in, w = 1.5in, l =?
3. P = 125 cm, w = 20 cm, l =?
4. P = 40 m, w = 18 m, l =?

December 9th, 2009

LOG PROBLEM
What is the perimeter of a rectangle that has a width of 4 meters and a length of 8 meters?
SHOW FORMULA WORK!

Solution:
P = 2 (l +w)
P = 2 (8m + 4m)
P = 2(12m)
P = 24m

WORK TODAY
We went over the Math Benchmark results today. Great job 706 and 707! We also calculated the width of a rectangle after being given the perimeter and the length of the rectangle.

Here is a sample problem:
What is the width of a rectangle if the perimeter is 10 cm and the length is 2 cm?
P = 2 (l+w)
10cm = 2 (2cm + w)
10cm = 4cm + 2w

10cm = 4cm + 2w
-4cm -4cm


6cm = 2w
/2 /2

3cm = w

HOMEWORK
Complete the following perimeter problems after being the perimeter and length:
1. p = 30 cm, l = 6 cm, w = ?
2. p = 12 cm, l = 2 cm, w = ?
3. p = 200 cm, l = 40 cm, w = ?
4. p = 45 cm, l = 15 cm, w = ?
5. p = 6 cm, l = 2 cm, w = ?
6. p = 50 cm, l = 10 cm, w = ?
7. p = 8 m, l = 2 m, w = ?

December 8th, 2009

LOG PROBLEM
Evaluate the following expression:
2n – 3(5n +9)

Solution:
2n -15n -27
-13n - 27

WORK TODAY
We did a few more problems dealing with the Distributive Property. We then discussed the formula for Perimeter of a Rectangle and copied it. The class then measured the length and width of their desks and binders. They used those measurements and the formula to calculate Perimeter.

Formula for Perimeter of a Rectangle: Perimeter = 2 (length + width)

Example problem:
Show formula work for a rectangle with a width of 10 cm and a length of 15 cm
P = 2 (l +w)
P = 2 (10 cm + 15 cm)
P = 2 (25 cm)
P = 50 cm

HOMEWORK

Show formula work for calculating the perimeter of the following rectangles:
1.) l = 2 cm, w = 4 cm
2.) l = 4 cm, w = 6 cm
3.) l = 6cm, w = 8 cm

December 7th, 2009

LOG PROBLEMS
Simplify these expressions.
1.) 17 - 4(3x -2)
2.) 3x -2(3x +1)

Solutions:
1.) 17 - 12x +8 = 25 - 12x
2.) 3x - 6x -2 = -3x - 2

WORK TODAY
We continued our work dealing with the Distributive Property today.

HOMEWORK
Complete the rest of the problems that we worked on today. This work counts as a QUIZ!

Solutions to Worksheet 2:
1. 34n+ 30
2. -55x+ 21
3. 33n- 7
4. -3 - 6n
5. -7 - 6x
6. -44n+ 25
7. 23 + 40x
8. -8x
9. 23 + 40x
10. 59x+ 49

Solutions to Worksheet 3:
1. 29x - 18
2. 6n+ 40
3. -34x+ 72
4. 8x - 36
5. x - 15
6. -15n - 35
7. 80 - 20 x
8. 18 - 14n
9. -10x+ 10
10. -50

December 3rd, 2009

LOG PROBLEM
Simplify this expression.
2(3y-4)

Solution:
2(3y) - (2)(4)
6y - 8

WORK TODAY

We continued our work dealing with the Distributive Property.

HOMEWORK

Complete the following problems:
1.) −n−5(−6 − 7n)
2.) −7(8x− 3) +x
3.) 7(5n− 1) − 2n
4.) 3 −6(1 +n)
5.) −(4 + 6x) − 3
6.) 5(−8n+ 5) − 4n

Solutions to first 3 problems:
1.) 34n +30
2.) -55x +21
3.) 33n - 7

December 2nd, 2009

LOG PROBLEM

Simplify the following expression:
3 + 4 (y -5)

Answer:
3 + 4 (y -5)
3 + 4y -20
4y -17 OR -17 +4y

WORK TODAY

We worked on simplifying expressions by use of the Distributive Property of Multiplication over Addition.

706 HOMEWORK

Simplify the following expressions:
1) 3(9x-7)
2) 8(3n+2)
3) 4(3h - 2)

707 HOMEWORK

Complete the problems posted on December 1st for 706.

December 1st, 2009

LOG PROBLEM
Show formula work for calculating the area of your desk. The width is 62.1 cm and the length is 46.8 cm.

ANSWER
Area = length x width
A = lw
A =46.8cm x 62.1cm
A = 2906.28 centimeters squared

WORK TODAY
We worked on the distributive property. The distributive property is the idea that a factor can be distributed (spread) to two addends.
For example: 2 × (1 + 3) = (2 × 1) + (2 × 3).

HOMEWORK for 706
1.) 3 −3(x− 2)
2.) −(1 − 5n) − 7n
3.) 8 +7(7n− 4)
4.) 4x+5(3x− 3)
5.) 5 −2(8x+ 4)

HOMEWORK for 707

Complete problems 12-17 on the worksheet handed out in class today.

November 30th, 2009

WORK TODAY

We worked on a lab where we measured the surface area and volume of cubes.

HOMEWORK

Finish the shown work for the surface area and volume of Cube 2 and Cube 3.

November 23rd, 2009

WORK TODAY

We will continue to prepare for the Benchmark Test tomorrow.

HOMEWORK

Bring a pencil for the Benchmark Test! Complete the problems given today in order to prepare for the benchmark test.

HELPFUL LINKS
Here are a list of links that will bring you to problems similar to those that will be seen on the Benchmark (You'll have to cut and paste the websites into your computers):
1. http://www.aaastudy.com/equ723x3.htm
2. http://www.aaastudy.com/fra57ax2.htm
3. http://www.aaastudy.com/rat-prop-crossx.htm
4. http://www.aaastudy.com/rat-unit-rate.htm
5. http://www.aaastudy.com/cmp-fra-dec.htm

November 20th, 2009

WORK TODAY

We worked on equations and word problems similar to those that will be seen on the Benchmark Test on Tuesday.

HOMEWORK

Complete the equations copied in class today by using cross multiplication. Here is a link to similar problems with solutions if you are having trouble: http://www.aaastudy.com/rat-prop-crossx.htm

November 19th, 2009

WORK TODAY

We worked on solving equations with an unknown variable.

Here is an example:

3 + x = 9
-3 ......-3 (Subtract 3 from both sides of the equation.)
x = 6

HOMEWORK

Complete the problems 1-10 that were copied in class today. Here is a helpful link to solve problems like the ones we did in class: http://www.aaastudy.com/equ725x3.htm

November 18th, 2009

WORK TODAY

706
We worked on page 23 of our Procedural Fluency Workbook and continued our work on expressions with our handout.

707
We continued our work in our Building Formulas Book on pages 3-4.

HOMEWORK

706 - Complete worksheet.
707 - Complete pages 21-22 in your Procedural Fluency Workbook.

November 17th, 2009

LOG PROBLEM

Fill in the next three numbers and state the rule (RECURSIVE FORMULA) that is applied to find the next number.
3, 15, 75...

November 16th, 2009

LOG PROBLEM

Look at this series of numbers: 1, 4, 9, 12, 17, 20, … What are the next 3 numbers in the pattern?
a. 24, 26, 28
b. 21, 24, 29
c. 25, 30, 33
d. 25, 28, 33

WORK TODAY

We will be working on number patterns. Here is a link to the problems we will be covering: http://docs.google.com/View?id=df3zjpdz_579wnmcg

HOMEWORK

Novemer 13, 2009

HOMEWORK
Complete the function table worksheet. Here is a link: https://docs.google.com/fileview?id=0B6-EIF7Ep4TYNDQzYTAxZGItM2Y1NC00YTY4LTkxZDEtZTdkN2RlZTUyNGVl&hl=en

November 12th, 2009

LOG PROBLEM

PSSA Multiple Choice
Look at this series of numbers.
1, 4, 9, 12, 17, 20, …
What are the next 3 numbers in the pattern?
a. 24, 26, 28
b. 21, 24, 29
c. 25, 30, 33
d. 25, 28, 33

WORK TODAY
-Quiz on converting fractions, decimals, and percents today!

-We will be completing sequences of numbers with rules that students must figure out.

HOMEWORK
Complete problems on the other side of the quiz given today.

November 10th, 2009

ANNOUNCEMENT
There will be TEST on converting fractions, decimals, and percents on Thursday.

LOG PROBLEM

The interest rate for a savings account at Wilson Bucks Bank is 3.1%. If you placed $850.00 is a savings account for a year, how much money would be in your account at the end of the year?

WORK TODAY

Review converting fractions, decimals, and percents.

HOMEWORK

Convert the following fractions into decimals AND percents :
1) 3/5
2) 4/7

Convert the following decimals into percents AND fractions:
3) 0.8
4) 0.42

Convert the following percents into decimals AND fractions:
5) 5%
6) 38%

EXTRA HELP
http://www.aaastudy.com/fra71bx2.htm

November 9th, 2009

LOG
Three years ago a single adult ticket to Fun
Park was $18.75. This year an adult ticket will
cost $25.50. What is the percent of increase in
the cost of an adult ticket? Explain.

HOMEWORK

Page 42-44 must be completed.

November 6th, 2009

LOG PROBLEM
What is the final profit for a company whose initial profit of $212,000 experiences a 3% increase?

Solution for example of problems for the day:

Original profit $300, New profit $325
What is the change in profit as a percentage?
Step1: Calculate the difference in profit
425– 300 = 25
Step 2: Write the change as a fraction.
25/300
Step 3: Convert the fraction into a decimal.
25/300 = 0.083333
Step 4: Convert the decimal into a percentage.
0.083333 = 8% increase

WORK TODAY
1. Calculate the percent increase or decrease for the following profit changes

1)$410 and $350 answer 15% decrease
2)$525 and $675 answer 29% increase
3)$12,300 and $16,600 answer 35% increase
4)$34,400 and $33,900 answer 1% decrease

1)$575 and $450 answer 22% decrease
2)$925 and $975 answer 5% increase
3)$52,300 and $56,300 answer 8% increase
4)$14,400 and $9,100 answer 37% decrease

HOMEWORK
Calculate the percent increase or decrease for the following profits
1)$275 and $350
2)$31,925 and $32,070
3)$152,300 and $156,300
4) $1,400 and $2,000

November 5th, 2009

LOG PROBLEM
What is the final profit for a company whose initial profit of $500,000 experiences a 10% decrease?

WORK TODAY
Calculate the final profit with the following percent increase or decrease:

Example:
1. $2,008 with 19% decrease

Solution:

i. ($2,008) (0.19) = $381.52
ii. 2,008 – 381.52 = $1626.48
iii. Final profit = $1626.48

Problems to solve:
2. $42,609 with 2% decrease
3. $5,406 with 7% increase
4. $9,309 with 10% decrease
5. $85,209 with 20% increase

HOMEWORK
1. Calculate the final profits with the following % increase or decrease:
1)$2,400 with 8% decrease
2)$485,200 with 32% increase

2. More or Less Book: page 44 - problem 1 (a and b)

EXTRA PRACTICE (with feedback)

http://www.aaastudy.com/pct68_x4.htm

November 4th, 2009

LOG PROBLEM
What is the final cost of a t-shirt that is $24.99 with a sale of 1/3 off? What would this t-shirt cost if there was a 25% off sale?

HOMEWORK
Calculate the final profit with the following percent increase or decreases:

1. $45,008 with 16% increase
2. $22,609 with 21% decrease
3. $8,406 with 17% increase
4. $32,309 with 14% decrease
5. $6,207 with 42% increase

November 2nd, 2009

HOMEWORK
Problem set:
Calculate the final prices
1. $40 (1/7 off)
2. $624 (29% off)
3. $183,000 (4/9 off)
4. $98 (72% off)
5. $12.25 (10% off)

ANNOUNCEMENTS
Study for your Math Quiz! It is on calculating the final price with a percent or fraction discount.

EXTRA PRACTICE
http://www.aaastudy.com/pct68_x3.htm