Wednesday, September 29, 2010

8th Grade Lesson Review (9.29.10)

On today students continued worked on combining like terms (terms with the same variable and same exponent) in Algebraic Expressions. Below you will find examples for further practice and understanding of the concept.


















Students also worked on problems that used the Distributive Property.
The Distributive Property states that a(b + c) = ab + ac for all real numbers a, b, and c. For example, 2(3 + 5) = 2(3) + 2(5).

Homework 9/29/10

6th Grade
Textbook pg. 236 (32-35)

7th Grade
Textbook pg. 44 (2-20 even)

8th Grade
P.S. pg. 8 (1-8)

6th Grade Activity 9.29.10

Comparing/Equivalent Fractions


Adding fractions with unlike denominators

Subtracting fractions with unlike denominators
1) http://www.aaastudy.com/fra66lx2.htm#section2

Tuesday, September 28, 2010

7th Grade Lesson Review 9.28.10

On today we reviewed and practiced Prime Factorization and Greatest Common Factor together and seperately, along with reviewing the test on today.  Below you will find a few examples on how to find the GCF using the listing method and Prime factorization to find the GCF.





















The following allows you to practice both factoring and finding the GCF and LCM using a venn diagram with the factor tree.
http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html?from=category_g_3_t_1.html

GCF practice
http://www.aaastudy.com/g57g_gx1.htm#section2

LCM practice
http://www.aaastudy.com/fra66ix2.htm#section2

6th Lesson Review 9.28.10

During today's lesson we covered and reviewed fractions equivalents and how to add and subtract fractions with unlike denominators. Below you will find some examples and along with links to practice these various topics.













































Comparing/Equivalent Fractions


Adding fractions with unlike denominators

Subtracting fractions with unlike denominators
http://www.aaastudy.com/fra66lx2.htm#section2

Homework 9/28/10

6th Grade
Textbook pg. 236 (8-15)

7th Grade
Textbook pg. 115 (20-34 even)

8th Grade
P.S. pg. 7 (1-8)

Thursday, September 23, 2010

7th Grade Helpful Homework Hints and Lesson Review (9.23.10)

On today we learned about like terms, coeffiecents, and variables.  Below you will find some quick refernce review examples

ex. 1
3w    4y    7w    6   2y   x   z

Identify the like terms.

   Answer:  3w and 7w; 4y and 2y; the remaining variables and constants have no other like terms to be paired up with.


ex. 2

Combine like terms.

1)  3x + 7y -2x +5 +3y
    Identify all the like terms by color or shape
                     3x + 7y -2x +5 +3y
     Combine like terms
                     (3x + (-2x)) + (7y +3y) + 5
      Do the calculations (addition and subtraction)
                     x + 10y + 5

8th Grade Lesson Review 9.23.10

 

These are the formulas you can use to find a missing side based on the original pythagorean theorem formula
 



Homework 9/23/10

6th Grade
None

7th Grade
Textbook pg. 44 (2-20 even)

8th Grade
Textbook pg. 200 (1-20)
Review Notes for Quiz

Monday, September 20, 2010

8th Grade lesson review 9.20.10

On Today we continued to review Radical Expressions and how to simplify, add, subtract, multiply and/or divide them. There are links posted under 8th grade Activity Links for 9.17.10 for further practice and review.

7th Grade Helpful Homework Hints

During today's lesson we completed a standards based activity using sum and product of various given values along with practicing/reviewing the order of operations.

The standards based activity called Sums and Products can be found at:

https://www.georgiastandards.org/Frameworks/GSO%20Frameworks/7_Math_Unit_3_Rational_Reasoning_SE_11-18-09.pdf

The order of operations review practiced the process of having a multistep expression and evaluating it using P.E. MD. AS. (Parentheses, Exponents, Multiplication and Division from Left to Right and Addition and Subtraction from Left to Right)

Here are some links to practice using the order of operations in a fun and easy way, some require a bit of speed when playing the game as well:

Math Interactives (has you identify which operation to complete, step by step)
http://www.learnalberta.ca/content/mejhm/index.html?ID1=AB.MATH.JR.NUMB&ID2=AB.MATH.JR.NUMB.INTE&lesson=html/object_interactives/order_of_operations/use_it.html
Matho
http://www.tki.org.nz/r/wick_ed/maths/interactives_matho2.php

Slider Math
http://www.slidermath.com/integer/OrdOps1.shtml

Slider Math 2
http://www.slidermath.com/integer/OrdOps2.shtml

Slider Math 3
http://www.slidermath.com/integer/OrdOps3.shtml

6th Grade Lesson Review (9.20.10)

On today we worked with fractions and finding their equivalents using the links provided, under 6th grade Fraction Activity Post for today's activity. Also, students worked in small group with the teacher creating Fraction Flip charts illustrating the fractional equivalent from 1 whole to 16 sixteenths.
Tonights homework assignment will be using this process and the flipchart will come in very handy to complete the assignment within the worktext.

Homework 9/20/10

6th Grade
Worktext pg. 100

7th Grade
Worktext pg. 46

8th Grade
Complete Independent Activity. Write a reflection on today's activity (at least 5-7 sentence paragraph, reflecting on what you learned or practiced during the lesson today).

6th Grade 9.20.10 Fraction Activity Links

Practice 1
Pizza practice
http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/fractions/level1.htm

Practice 2
Virtual Math Manipulatives
http://nlvm.usu.edu/en/nav/frames_asid_105_g_3_t_1.html

Challenge Practice
Matching equivalent fractions
http://www.learningplanet.com/sam/ff/index.asp

Friday, September 17, 2010

Thursday, September 16, 2010

8th Grade lesson review 9/16/10

Adding and Subtracting Radical Expression Notes 9.16.10



Step 1. Identify if you have like radicals.


ex.











Step 2: If yes, continue by performing the operation specified with the coefficents (number on the outside)

ex.










Step 3. If no, simplify each radical then combine the coefficents














7th Grade Helpful Homework Hints

Today we worked on solving equations containing integers, this in the student Holt textbook chapter 2 section 5. Below you will find examples to assist with these kinds of problems.

Ex.

m + 3 = 15 add the opposite of 3 to both sides
+(- 3) +(-3)
m = 12

Check (substitue the value for the variable)

m + 3 = 15

12 + 3 = 15
15 = 15 (check) both sides equal

{note: when you add opposites they cancel each other out i.e. 3 + (-3) = 0}

Ex.

-2 + r = 6 add the opposite of -2 to both sides
+2 +2
r = 8

Check (substitute the value for the variable)

-2 + r = 6

-2 + 8 = 6
6 = 6 (check) both sides equal


Ex.
x - 7 = 28
+ 7 +7

x = 35

check
x - 7 = 28

35 - 7 = 28

28 = 28

Ex.

13x = 26 divide both sides by the coefficent (number attached to the variable)
13 13

x = 2

Check (substitute the value for the variable)

13x = 26

13(2) = 26

26 = 26 (check) both sides equal


Ex.

x = 15 multiply both sides by the denominator
3

3 (x) = (15) 3
(3)

x = 45

note: By multiplying both the fraction by the denominator the denominator is cancelled

Check (substitue the value for the variable into the equation)

x = 15
3

45 = 15
3

15 = 15 (check) both sides equal

Homework 9/16/10

6th Grade
Textbook pg. 175 (19-24)

7th Grade
Worktext pg. 44

8th Grade
P.S. pg. 28 (5-6)

Wednesday, September 15, 2010

7th Grade Helpful homework hint 9/15/10

Today we worked on multiplying and dividing integers, here are some helpful examples for tonights homework assignment

If the signs are:________________your answer is:

the same--------------------------->postive

different---------------------------->negative

Homework 9/15/10

6th Grade
P.S. pg. 28 (ALL)

7th Grade
Textbook pg. 96 (2-20 even)

8th Grade
Worktext pg. 28 (3-4)

8th Grade Lessons (9/13 - 9/15/10)

This weeks lessons have covered Perfect Squares, Radical Numbers and Simplifying Radical terms that are not perfect squares. It is very important that students know their perfect squares (which were highlighted in their agendas in class on today), as well as their multiplication facts, which can be downloaded for free from the internet as well.

http://www.regentsprep.org/Regents/math/ALGEBRA/AO1/indexAO1.htm (helpful link)

[note: the above link is the page that the example came from, there are more practice problems located on this page]
Simplifying radical interactive practice

Tuesday, September 14, 2010

6th Grade Helpful homework hint 9/14/10

Finding the GCF (Greatest Common Factor) of a data set

Given Data Set 16 and 24

Method 1: List the Factors for each number in the data set

16: 1, 2, 4, 8, 16 List the factors
24: 1, 2, 3, 4, 6, 8, 12, 24 Circle (highlight) the GCF

GCF = 8

Method 2: Use Prime Factorization

  1. Create a Prime factorization tree for all numbers given
  2. Circle common factors
  3. Find the product of the common factors

Method 3: Factor Ladder (upside down cake method)

  1. Begin with a factor that all numbers have in common
  2. Keep dividing until the numbers have no more common factors
  3. Find the product of the numbers divided by.



Homework 9/14/10

6th Grade
Work text pg. 92

7th Grade
Textbook pg. 90 (22-44 odd)

8th Grade
P.S. (problem solving workbook) pg. 28 (1-2)

7th Grade Helpful homework hint 9/13/10 - 9/14/10

Over the last two days we have covered adding and subtracting integers, below you will find some helpful examples.




Monday, September 13, 2010

Homework 9/13/10

6th Grade
Text book pg. 175 (4-7)

7th Grade
Text book pg. 90 (22-40 even)

8th Grade
Worktext pg. 124 (All)

Tuesday, September 7, 2010

integer video

8th Grade 9/7/10 Homework Helpful Hint

Creating a factor Tree

  1. The number to be factored goes at the top of the factor tree.
  2. Then create two branches from the top number connected to its first two factors.
  3. Repeat this process until you get to only prime number.





7th Grade 9/7/10 Helpful homework hint

Integer - a number and its opposite (1, -1, 2, -2, 3, -3...and so on)
Absolute value - the distance from a number to zero (ex. -19 = 19 (because -19 is 19 units from 0))
Opposite - a number the same distance from zero just on the opposite side (ex. 3 is the opposite of -3)
____________________________________________
Comparing numbers
Ex.
4 ___ -5 (using <, >, or =) the answer is >
-12 ___ -1 (using <, >, or =) the answer is <
-31 ___ 31 (using <, >, or =) the answer is =

Ordering Numbers using a number line
  1. Create your number line so that all numbers given will fit
  2. Plot a point for each value given in the data set
  3. Write the numbers from left to right (least to greatest) from the number line

6th Grade - 9/7/10 Homework Hint

Prime Number - A number that can only be created by itself and 1;
Composite Number - A number that can be created by more then 1 and itself.

Ex.
  1. 13 - Factors 1 x 13; therefore 13 is a Prime Number.
  2. 81 - Factors 9 x 9; 3 x 27; 81 x 1; therefore 81 is a Composite Number.

Homework 9/7/10

6th grade

Textbook p. 166 (21-32)

7th Grade

Worktext pg. 166 (21-32)


8th Grade
Complete factor tree for 400, 325, and 1,568

Welcome!!!

This blog has been created for you to have access to the material that is presented in class as well as links to homework help. You may post any questions that you may have while doing your assignments. I am going to periodically post video demonstrations on how to solve various types of problems, along with step by step written instructions on how to do some assignments. You will be able to see the comments and questions from your classmates as well, so please read the previous postings to prevent me from answering the same question more then once.

Well lets get started there will be homework postings for all Math classes (6th, 7th, and 8th grade) on this page, and they will be labeled with the respective grade level.