Solving for Unknown One Variable Equations by Dillon Wiesler

Solving for unknown one variable equations is a concept that is vital to master as it prepares you for future, more complicated, equations down the road. This concept can be shown by this easy example.

X - 12 = 14

X = 26  Because X is subtracted by 12 on the left side we add 12 to the right side to get 26 which is our answer.

Here is a video that can help explain solving for one variable.

https://www.youtube.com/watch?v=YBKVV1BHXqk

Using Exponents by Dillon Wiesler

Today in class we started discussing how to use exponents. Exponents are a way to sum up how many times you want to multiply a certain number. An easy example could be as followed.

5^3= 5 x 5 x 5 Where three is your exponent indicating you want to multiply five three times.

Here is a great link to further explain exponents.

http://www.mathsisfun.com/algebra/exponents-using.html

Using the Factor Tree by Dillon Wiesler

Hello everyone. One of the topics I'm going over this week in class is factoring and to help explain this better I'm using a helpful tool called the factor tree. As shown in the image below, the goal is to divide the starter number by as small of a number as possible until you can no longer divide any number by a number other than one. The picture below helps visualize the concept.

Solving System of Equations Using Elimination by Rylan Daffin

Solve for x and y using elimination
x-4y=-18
-x+3y=11

1. First add each sides to eachother

Your x's should cancel and you should have a -y on the left
on the right you have 7

Your new equation is -y=-7

2. Get y on one side
y=7


3. We have our y now we need to find x, so plug y into the 1st equation.

x-4(7)=-18

x-28=-18

Get the x on a side alone by adding 28 to each sides
the left side cancels out and on the right you now have 10

so x=10


3. You can check your answer by plugging them into the equation to see if they turn out true.

(10)-4(7)=-18

-18=-18

The equation is true!

Factor by Grouping w/ Rylan Daffin

Lets start with the 4-term Polynomial    3x+7y-21-xy

1. Identify like terms

 In this case 3x and xy are similar
 Also 7y and 21 are similar


2. Lets group these together
 Your equation should look like this(3x-xy)+(7y-21)

3. Factoring
Remove the like terms from the equation x(3-y)+7(y-3)
This is the same thing as x(3-y)-7(3-y)

4. Identify the new common factors
(x-7)(3-y)

This how you factor by grouping for any additional help you can visit this link.
https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-by-grouping/v/factor-by-grouping-and-factoring-completely

Hello Math Department!

This week I am working on Addition and Subtraction with my students. We are taking our knowledge of our counting numbers and adding them together, or taking them from each other.

The best way I thought to do this, was to use blocks. the students are physically able to see what they are adding and subtracting. they can cunt how many block they  had originally, then count how many blocks they have after they have added or subtracted the number given

Emily Swain
Special Education: Mild-Moderate
K-2

Dividing fractions

Dividing fractions are not scary! Although it looks like a lot of numbers and steps, all you need to do is Flip and then Multiply. See below for a detailed instruction of how easy this can be:

Hello Math Department!

This week I am working with my students on odds and even numbers!

The best way I figured to do this was by working  on grouping numbers in pairs of two. I provided M&M's for my students to keep it fun and a rewarding snack when the lesson is finished. I gave each student a handful of M&M's and asked them to put them in groups of two, then they had to tell me if they had an odd amount of M&M's or and even amount.

That's tis weeks lesson!

Emily Swain
Special Education: Mild-Moderate
K-12

Solving for X

One of the main concepts we will cover is solving for a variable, which is one of the basics of Algebra. This concept is key to build on as we will work up to harder, more advanced problems. Here is an example of one:

3x+8=24-6x+1x

The first thing you want to do is combine like terms

3x+8=24-5x

Next, move the number's with the variable(x) to one side, and the numbers without the variable to the other.

8x=16

Lastly, divide the 8 from both sides to get the x alone, and your answer will end up being...

x=2

You can check your work by plugging your answer back into the original equation for x.

Hello Math Department!

This week I started my students off with counting numbers. we started at 0 and worked our way to memorizing up the number 10 for now. all throughout the year we will be working together to memorize more and more numbers. my goal is to have my students be able to count all the way past 100.

I plan on doing this by using counting numbers on a number line and whole numbers on a number path. this will help students visually see the number they are counting with the number they are saying.

That's my game plan for this week!

Emily Swain
Special Education: Mild-Moderate
K-2

Quadratic Formula by RylanDaffin

The quadratic formula is used to factor polynomials that look like ax^2+bx+c

The Quadratic Formula

In an Equation like 2x^2 -3x+4

A= 2

B= -3

C=4

Plug into the equation and you can solve the factors are. This is a short example on how to solve using the formula for any additional help you can go to the link below. 

http://upload.wikimedia.org/wikipedia/commons/c/c4/Quadratic_formula.svg

Slope intercept form Middle School Math

In a problem such as y=mx+b, the slope of the equation  is the m.
Ex: y=2x+4.
      m(or slope)= 2
Check out this video for more information.
https://www.youtube.com/watch?v=u3spOO-m_Gg