Sixth Grade
Today, the class worked on more fraction of a number problems. They were given a list of 12 problems and each student had to write a word problem for the math problem and draw a picture representing the answer. For example, if the problem was, "1/3 of 24", then the word problem could be something like:
1/3 of the frogs jumped into the pond. If there were 24 frogs, how many jumped into the pond? Then they would solve that to find that 8 frogs jumped into the pond and then draw a picture of 8 frogs in a pond.
You only have to do 10 of the problems. There are 12, but pick any ten to do.
Seventh Grade
Math - Today, we practiced more sales tax. Many students struggled with this assignment last week so there are 5 extra problems from the board to solve. Then, they are supposed to finish the decimal division worksheet.
Geography - Chapter 6 Test is tomorrow! Be sure you are studying your notes and the terms from each section.
Eighth Grade
Pre-Algebra:
Graphing from slope-intercept form.
Remember that the slope-intercept form of any line is: y=mx + b
m is the slope. So whatever is in front of the x, is your slope.
b is the y-intercept, which means that the line crosses the y-axis at this number.
To graph the line, you first put a dot at the y-intercept, so if your equation is y = -3x +4, then you would put a dot at + 4 on the y -axis. So, go up 4 and put a dot.
Next, you would do the slope. Since the slope is -3, that means it is -3 over 1. You would go DOWN 3 and to the right 1 and put a dot there. Do the slope again so you have three points (unless you are going down or to the right 6 places or more) and draw a straight line through them. Remember, if the slope is negative, that goes with the top number and you would go down from the y-intercept. If the slope is positive, you would go up from the y-intercept.
Algebra I - Writing the equation of a line with given information. First, you are writing equations of lines from graphs. This is the easy step. Remember, every equation of a line needs a:
1. Slope
2. y-intercept
So, if you are given a graph, you can find the y-intercept first. Then, find the slope with the points that are given on the graph. Remember that you must reduce fractions, but you can leave them improper. Here is an example:
In the above graph, the line crosses the y-axis at positive 3. So +3 is your y-intercept. Counting from the points you are given, you see that the "rise" is 1 and the run is 3. Since Slopeman would be skiing downhill, your slope is negative. So, you write your equation in slope-intercept form, plugging the y-intercept in for b and the slope in for m. y = -1/3x + 3
To write the equation of a line when all you are given is the slope and a point it crosses through, you have to find your y-intercept. This is an example of how you do it:
The third way you will be writing the equation of a line is when you are given only two points that the line crosses through. First, you need to find the slope by using the slope formula. Once you have the slope, then you can do the exact same thing as the example above, choosing one of the two coordinate points to plug in. Here is an example:
See you tomorrow!
Mrs. Swickey
