Teachers' Domain: Bianca the Spy
In this video segment from Cyberchase, Bianca daydreams about being a spy. In order to save the video games of the world from being totally eliminated, Bianca must replace a crystal in the video game eliminator. To do that safely she must follow a specific number of steps and then perform the inverse of those steps.
Tuesday, December 6, 2011
EQUATION - A MATHEMATICAL SENTENCE THAT CONTAINS AN = SIGN
2 + 7 = 9
10 - 6 = 4
14 = 2 x 7
2 + x = 9
4 = k - 6
15 ÷ m = 3
Alot of the time we can find the solution to an equation with a variable without even working it out because we know our math facts. Though this isn't always true and it is extremely important that we know how to solve an equation.
You can use problem solving techniques as well as mental math to help you solve an equation, but sometimes the problems are too difficult to solve in our head so knowing the process is important, plus Mrs. White ALWAYS wants to see your work :).
So I guess I will tell you the most important things about solving an equation.
1.) What type of problem are you working (addition, subtraction, multiplication, or division)
2.) What is the opposite of the operation in the problem?
3.) Your goal is to get the variable alone on 1 side of the = sign, so you will need to move any numbers that are on the same side as the variable. To do this you will need to use the operation from step 2 to get the variable to the other side of the = sign.
4.) Remeber BALANCE - What you do to one side you must do to the other.
5.) Check to make sure your answer is the solution. Substitute your answer for the variable and work it out. If you get the same number of both sides of the equal sign then you were correct.
For example, x + 3 = 5 (notice how I use each step)
1. Addition Equation
2. Opposite of Addition is Subtraction
3. & 4.) x + 3 = 5
- 3 - 3
x = 2
Notice that I had to get the 3 away from the x so I did the opposite of addition to subtract 3 from both sides. When I subtracted 3 from 5, I got 2. To check and make sure 2 is the solution I will substitute it back into the original equation to check. When there is balance you know you were correct.
x + 3 = 5
2 + 3 = 5
5=5 √ When there is balance you know you were correct. J
10 - 6 = 4
14 = 2 x 7
2 + x = 9
4 = k - 6
15 ÷ m = 3
Alot of the time we can find the solution to an equation with a variable without even working it out because we know our math facts. Though this isn't always true and it is extremely important that we know how to solve an equation.
You can use problem solving techniques as well as mental math to help you solve an equation, but sometimes the problems are too difficult to solve in our head so knowing the process is important, plus Mrs. White ALWAYS wants to see your work :).
So I guess I will tell you the most important things about solving an equation.
1.) What type of problem are you working (addition, subtraction, multiplication, or division)
2.) What is the opposite of the operation in the problem?
3.) Your goal is to get the variable alone on 1 side of the = sign, so you will need to move any numbers that are on the same side as the variable. To do this you will need to use the operation from step 2 to get the variable to the other side of the = sign.
4.) Remeber BALANCE - What you do to one side you must do to the other.
5.) Check to make sure your answer is the solution. Substitute your answer for the variable and work it out. If you get the same number of both sides of the equal sign then you were correct.
For example, x + 3 = 5 (notice how I use each step)
1. Addition Equation
2. Opposite of Addition is Subtraction
3. & 4.) x + 3 = 5
- 3 - 3
x = 2
Notice that I had to get the 3 away from the x so I did the opposite of addition to subtract 3 from both sides. When I subtracted 3 from 5, I got 2. To check and make sure 2 is the solution I will substitute it back into the original equation to check. When there is balance you know you were correct.
x + 3 = 5
2 + 3 = 5
5=5 √ When there is balance you know you were correct. J
EQUATIONS
Algebra is all about BALANCE. So when I think about BALANCE I think about this..........
So technically a teeter totter isn't the greatest example but it is good because it proves that if the weight/value on one side is not the same as the weight/value on the other side then the teeter totter will not sit balanced, thus its appeal. In math however we do want balance at all times.
To show balance in math we use
=
So technically a teeter totter isn't the greatest example but it is good because it proves that if the weight/value on one side is not the same as the weight/value on the other side then the teeter totter will not sit balanced, thus its appeal. In math however we do want balance at all times.
To show balance in math we use
=
Monday, December 5, 2011
FINALLY SOMETHING NEW
We have all completed the learning check with 85% of the 6th grade students passing. We are going to continue working with Algebra for the next 2 weeks. We will be learning how to solve equations and inequalities. There will be 1 more test before Christmas Break...
Wednesday, November 30, 2011
AAAAAAAAAAAAAAAAAAAHHHHHHHHHHHHHHHHHHHHHHH
BREAKING NEWS - It's a fact that students that show their work are 90% more successful than those who do not.
We began working on the test today in class and I am seeing a very large number of students not showing any work and thus just guessing an answer. This is very careless and usually leads to a horrible grade. This test is a learning check for the last 6 weeks of school. If a 70% is not achieved then those students will be assigned mandatory tutoring for the remainder of the 9-weeks.
Because of the outbreak of carelessness I have made a new rule. STUDENTS MUST SHOW THEIR WORK ON SOME OF THE PROBLEMS. I HAVE PUT THAT LIST ON THE BOARD IN THE CLASSROOM. IF THIS IS NOT DONE, THEY WILL BE GIVEN A ZERO. I know this is harsh but I just cannot figure out why kids are ok with making bad grades.
We began working on the test today in class and I am seeing a very large number of students not showing any work and thus just guessing an answer. This is very careless and usually leads to a horrible grade. This test is a learning check for the last 6 weeks of school. If a 70% is not achieved then those students will be assigned mandatory tutoring for the remainder of the 9-weeks.
Because of the outbreak of carelessness I have made a new rule. STUDENTS MUST SHOW THEIR WORK ON SOME OF THE PROBLEMS. I HAVE PUT THAT LIST ON THE BOARD IN THE CLASSROOM. IF THIS IS NOT DONE, THEY WILL BE GIVEN A ZERO. I know this is harsh but I just cannot figure out why kids are ok with making bad grades.
GRADES ARE MADE NOT GIVEN, THEY ARE EARNED, SO WORK HARD FOR THEM!
Tuesday, November 29, 2011
Welcome Back, It's Been A Long Time
The 6-Week Exam is tomorrow. I hope you're ready! This grade will count as a Unit Test. If a 70% or above is not made on the test, students will have to attend mandatory tutoring for the remainder of the 9 weeks.
If more reviewing is needed please please please work the problems listed on the Study Guide Answer Sheet (you can find a copy on the blog). Also there are many games to help you with like terms and the mathematical properties.
If more reviewing is needed please please please work the problems listed on the Study Guide Answer Sheet (you can find a copy on the blog). Also there are many games to help you with like terms and the mathematical properties.
Tuesday, November 22, 2011
MATH TEXTBOOK ONLINE
FYI - JUST IN CASE YOU FORGET YOUR MATHBOOK THIS WEEKEND
6th Grade Math
username: bwhite1467
password: f5s
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