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).
Wednesday, September 29, 2010
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)
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.
![](http://3.bp.blogspot.com/_7AkLehSj_5c/TKJTIiK3TDI/AAAAAAAAAGQ/PoaWVq_mc5Q/s400/gcffactoring.JPG)
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
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.
Subtracting fractions with unlike denominators
http://www.aaastudy.com/fra66lx2.htm#section2
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)
Textbook pg. 236 (8-15)
7th Grade
Textbook pg. 115 (20-34 even)
8th Grade
P.S. pg. 7 (1-8)
Monday, September 27, 2010
Homework 9/27/10
6th Grade
Textbook pg. 236 (1-5)
7th Grade
Textbook pg. 108 (30-40 even)
8th Grade
Complete Vocabulary Chart
Textbook pg. 236 (1-5)
7th Grade
Textbook pg. 108 (30-40 even)
8th Grade
Complete Vocabulary Chart
6th Grade Activity links for week (9.27-10.1)
Equivalent Fractions
http://www.aaastudy.com/fra42ax2.htm#section2
Adding fractions
http://www.aaastudy.com/fra66kx2.htm#section2
Comparing Fractions
http://www.aaastudy.com/fra43cx2.htm#section2
http://www.aaastudy.com/fra42ax2.htm#section2
Adding fractions
http://www.aaastudy.com/fra66kx2.htm#section2
Comparing Fractions
http://www.aaastudy.com/fra43cx2.htm#section2
7th Grade Activity Link 9.27.10
Math Manipulatives (Prime Factorization)
http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html?from=category_g_3_t_1.html
http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html?from=category_g_3_t_1.html
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
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
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
None
7th Grade
Textbook pg. 44 (2-20 even)
8th Grade
Textbook pg. 200 (1-20)
Review Notes for Quiz
Wednesday, September 22, 2010
8th Grade 9.23.10 Links
Pythagorean Theorem Calculator
http://www.analyzemath.com/Geometry_calculators/pythagorean.html
Pythagorean Practice activity and video
http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.PYTH&lesson=html/video_interactives/pythagoras/pythagorasInteractive.html
Interactive practice
http://www.shodor.org/interactivate/activities/PythagoreanExplorer/
Street Map Activity (Group 3)
Select one of the maps
http://www.bing.com/maps/default.aspx?encType=1&where1=Griffin%2c+Georgia&FORM=MIRE2
http://www.bing.com/maps/Default.aspx?encType=1&v=2&ss=ypid.YN205x4410087&style=r&mkt=en-us&FORM=LLDP
Homework 9/22/10
6th Grade
Textbook pg. 230 (21-25)
7th Grade
Textbook pg. 726 (103-109)
8th Grade
P.S. pg. 31 (1-8)
Textbook pg. 230 (21-25)
7th Grade
Textbook pg. 726 (103-109)
8th Grade
P.S. pg. 31 (1-8)
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
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.
![](http://2.bp.blogspot.com/_7AkLehSj_5c/TJet1H3MCiI/AAAAAAAAAFA/j5gTYcLFA_Q/s400/fraction+flip+book.bmp)
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).
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
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
8th Grade 9.17.10 Activity Links
Exponential form – finding the value http://www.aaastudy.com/exp-eval-exp.htm#section2
Exponents - expanded form to exponential form http://www.aaastudy.com/exp-pow-by-mult.htm#section2
Simplifying radical - http://www.district87.org/bhs/math/practice/radicals/radicalpractice.htm
Scientific notation practice 1 - http://www.aaastudy.com/g8_71fx1.htm#section2 (converting to scientific notation)
Scientific notation practice 2 - http://www.aaastudy.com/g8_71gx1.htm#section2 (converting from scientific to standard notation)
Exponents - expanded form to exponential form http://www.aaastudy.com/exp-pow-by-mult.htm#section2
Simplifying radical - http://www.district87.org/bhs/math/practice/radicals/radicalpractice.htm
Scientific notation practice 1 - http://www.aaastudy.com/g8_71fx1.htm#section2 (converting to scientific notation)
Scientific notation practice 2 - http://www.aaastudy.com/g8_71gx1.htm#section2 (converting from scientific to standard notation)
Thursday, September 16, 2010
8th Grade lesson review 9/16/10
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
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)
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)
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)
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
- Create a Prime factorization tree for all numbers given
- Circle common factors
- Find the product of the common factors
Method 3: Factor Ladder (upside down cake method)
- Begin with a factor that all numbers have in common
- Keep dividing until the numbers have no more common factors
- 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)
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.
![](http://2.bp.blogspot.com/_7AkLehSj_5c/TJE8wqvQnoI/AAAAAAAAADA/a9sX7ObJv6M/s400/adding+negandpos.bmp)
![](http://4.bp.blogspot.com/_7AkLehSj_5c/TJE87YMvHbI/AAAAAAAAADI/pBRg7FaiqTQ/s400/helpful+hint.JPG)
![](http://4.bp.blogspot.com/_7AkLehSj_5c/TJE9TMLcafI/AAAAAAAAADg/E_h2UGO8tW4/s400/subtractingnegfrompos.JPG)
![](http://3.bp.blogspot.com/_7AkLehSj_5c/TJE9K6XYToI/AAAAAAAAADQ/Rda83cRqCbg/s400/subnegfromneg.JPG)
![](http://3.bp.blogspot.com/_7AkLehSj_5c/TJE9PIyr6TI/AAAAAAAAADY/rC71ZZMCYCg/s400/subposfromneg.JPG)
![](http://1.bp.blogspot.com/_7AkLehSj_5c/TJE8lzFiNzI/AAAAAAAAAC4/hYpXv3EipVQ/s400/adding+negandneg.bmp)
![](http://2.bp.blogspot.com/_7AkLehSj_5c/TJE8wqvQnoI/AAAAAAAAADA/a9sX7ObJv6M/s400/adding+negandpos.bmp)
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)
Text book pg. 175 (4-7)
7th Grade
Text book pg. 90 (22-40 even)
8th Grade
Worktext pg. 124 (All)
Wednesday, September 8, 2010
Tuesday, September 7, 2010
8th Grade 9/7/10 Homework Helpful Hint
Creating a factor Tree
- The number to be factored goes at the top of the factor tree.
- Then create two branches from the top number connected to its first two factors.
- 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)
____________________________________________
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
- Create your number line so that all numbers given will fit
- Plot a point for each value given in the data set
- 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.
Composite Number - A number that can be created by more then 1 and itself.
Ex.
- 13 - Factors 1 x 13; therefore 13 is a Prime Number.
- 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
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.
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.
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