Tutor profile: Mary W.

What are the essential skills for writing an essay to common core standards?

1. Understand the purpose for and goal of the written assignment; 2.) Understand the audience; 3.) Organize information prior to writing; 4.) Utilize the writing process by: planning, revising, editing and rewriting; 5.) Craft a clear and concise thesis statement; 7.) Write well-constructed sentences and well written paragraphs; 6.) Edit for language conventions (grammar, spelling punctuation); 7.) Incorporate transitions to create cohesion and clarify ideas and concepts throughout essay; 8.) Write a strong conclusion that supports concepts presented in the essay

A family went on a bicycle trip. They rode their bikes for 2 days and each day, they rode 24 miles. Write out an equation the family could use to find the total number of miles they road on this trip. Then solve your equation to prove it works!

24 = m/2: The goal is to find the total miles "m" the family traveled on this trip in the course of two days. This part of the equation can be written out as m/2 (or total miles divided by 2 days). We know that they rode 24 miles per day, and so we can put that on the other side of the equation: 24 = m/2, since we know that 24 miles will equal 2 days of riding. Now our equation has all the given variables in it, plus one unknown. Let's solve for m! To solve: 24 = m/2: 1.) Multiply each side of equation to by 2, in order to get the unknown alone on one side of the equation: (2)24 = m/2(2) ---- (2)24 = m ---- 48 = m. so, 24 = 48/2. Is that true? YES!

If the y-intercept of the graph of y= -3x-7 is changed to 6, but the x-intercept remains the same, what is the equation of the new graph?

y= -3x+6: This equation of the graph is in slope-intercept form (y= mx+b). In this standard form, m is the slope of the line, and b is always the y-intercept. As the x-intercept, or slope, remains the same, we know we only have to alter the y-intercept, or "b." The question tells us the new y-intercept is a 6, and thus we change only the y-intercept in the equation from "-7" to "+6." Here's a graph to show the difference this made. Note that the slopes are the same, but the point at which the line crosses the y-intercept is different.