Math
April 7, 2020
Next Chat Wednesday, June 10 at 12:30
April 7, 2020
Today's activities needs you to convince someone (a teacher or a classmate) that you have the correct answer to something. It's as easy as folding a square piece of paper, and then showing that you're right. You need to convince someone who is reluctant to believe you!
First, you'll need a square paper. If you're not sure how to make one, please watch Mr. Mancini's video here to see how.
Now, what do you need to fold? That's Easy! Just try and make the following with your square (Each number is a separate challenge, you don't do them all at once, but you can use the same square for each):
Construct a square with exactly 1⁄4 the area of the original square. Convince your partner that it is a square and has 1⁄4 of the area.
Construct a triangle with exactly 1⁄4 the area of the original square. Convince your partner that it has 1⁄4 of the area.
Construct another triangle, also with 1⁄4 the area, that is not congruent to the first one you constructed. Convince your partner that it has 1⁄4 of the area.
Construct a square with exactly 1⁄2 the area of the original square. Convince your partner that it is a square and has 1⁄2 of the area.
Construct another square, also with 1⁄2 the area, that is oriented differently from the one you constructed in 4. Convince your partner that it has 1⁄2 of the area.
A parallelogram is a shape that has two sets of parallel sides. Each opposite side is the same length. It looks like a rectangle that was pushed over a little bit.
Base and Height of a Parallelogram
The base can be any one of the sides, but it's normally easier to find the height if you pick one of the longer sides to be the base.
The height must be 90° to the base, and touch the other side. It is NOT one of the actual sides of the parallelogram.
If we cut the parallelogram along the height, and then move the pieces around we can actually make a rectangle!
This means that we can use the exact same formula as a rectangle to calculate the area of a parallelogram!
Find the area of the three parallelograms, answer the questions in the link provided. If you don't have access to Google Classroom, you can take a picture of your work and email it to Mr. G.
Question 1: Find the area of this parallelogram.
Question 2: Find the area of this parallelogram.
Question 3: Find the area of this parallelogram.
Question 4: Create a parallelogram of any length and width that has a total area of 80 m^2 (meters squared).
Before we had to cancel classes because of our physical distancing rules, we had almost finished our surface area unit. Hopefully with the review last week and the reminders this week you'll be able to easily answer these questions (the last one is a little tougher). You can answer them in any way you want, but I'm including the formula sheet here if you which to do it that way.
If you would prefer to answer by working on paper you can attach it to the assignment I made for handing in that way here. Otherwise, write out your answers in the questions that are linked below.
Question 1: Find the surface area of this right rectangular prism:
Question 2: Find the surface area of this right rectangular prism:
Question 3: Find the surface area of this cube:
Question 4: Find the surface area of this right triangular prism:
Question 5: Find the surface area of this cylinder:
Question 6: Create any right rectangular prism that has a total surface area of 300 meters squared. List the length, width, and height of your prism in your answer.
We looked at two dimensional shapes last week. But you've already studied how to find the surface area of three dimensional shapes. Please try to do these review questions on paper at home. Attach a picture of your work to the assignment.
If you've forgotten your formulas to find it, they can be found here, but you don't NEED to use them if you have other ways to get an answer.
Volume (V) is the amount of space an object takes up.
It is measured in cubic units (cm^3) because there are 3 dimensions.
Volume is equal to the AREA OF THE BASE x HEIGHT
Please answer the following three questions about volume. Answer them in the Google Document found here.
Question 1: Find the volume of this rectangular prism using the area of the base and the height. Remember to use the correct units when solving!
The area of the base is?
The height is?
Volume = area of base x height
Volume = ______________-
Question 2: Find the volume of this right triangular prism using the area of the base and the height. Remember to use the correct units when solving!
The area of the base is?
The height is?
Volume = area of base x height
Volume = ______________-
Question 3: Find the volume of this cylinder using the area of the base and the height. Remember to use the correct units when solving!
The area of the base is?
The height is?
Volume = area of base x height
Volume = ______________-