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U3T3 Entry Ticket

How did your shape turn out? Share your invention with your neighbor. Share what was easy and what was difficult about the project.

If you did not trace your shape (perimeter) with color, use some of my colored pencils to make sure your invention stands out. USE A RULER OR STRAIGHTEDGE to make the lines straight.

Rate your level:

A composite figure is a two-dimensional figure made up of basic two-dimensional shapes such as one triangle and one rectangle.

When you break up a composite shape, think about it two ways:

1. Was the shape made by adding one or more simple shapes?

2. Or, could the shape be made by subtracting a smaller shape from a bigger shape?

Either way, try to imagine the fewest number of shapes.

1. In your notebook, make meaningful notes for your forgetful selves

2. CYUqs → Click the link below to open

Do your work in your notebook. Draw the composite figure. Draw the smaller, simple shapes. Include dimensions.

Check answers as you’re working. If you make a mistake, fix it. If you need help, get help. If someone else needs help, give help.

3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search

After completing the Check-your-understanding Questions, which were important for everyone to do?

Start by working in your notebook to figure out the length of the missing sides. After one minute, discuss your work with your seat partner. Take turns. If needed, modify or make changes to your original thinking.

1. Identify missing dimensions

1A

2. Identify missing dimension

2A

To find a missing dimension after breaking up a composite figure:

First, break it into simpler shapes and include the numbers that make sense.

Second, use addition or subtraction to determine the missing sides

Example A: To find the height of the triangle:

Example B: To find the base of the triangle:

Third, verify that you have all the dimensions

What is the area of the composite figure?

1

1A

2

2A

3

3A

4

4A

To calculate the area of a composite figure:

1. Decompose the figure (i.e. break it into simple shapes)

2. Write the dimensions

3. Calculate the areas of each simple shape, and add or subtract them.

1. In your notebook, make meaningful notes for your forgetful selves

2. CYUqs → p721: 1, 2; p723: 11 (Volume 2 Ch9-6)

Do your work in your notebook. Draw the composite figure. Draw the smaller, simple shapes. Include dimensions. Write the formulas and find their areas.

Check answers as you’re working. If you make a mistake, fix it. If you need help, get help. If someone else needs help, give help.

3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search

After completing the Check-your-understanding Questions, which were important for everyone to do?

Shape 1

Area is 81 units squared. Click to see Shape 1 partial solution with shapes decomposed and dimensions:

Shape 2

Area is 229.5 units squared. Click to see Shape 2 partial solution with shapes decomposed and dimensions:

* Next move: "How could you do this a different way and get the same answer?"

Prompt:

Worksheet with questions:

Sample student work and things to remember:

U3T6 Extend. Pick any ONE of the polygons and find the area. Medium level: 4 and 5. Spicy: 2, 3, and 6. You CHOOSE.

First, neatly sketch the composite figure and its dimensions.

Next, mentally break the shape into simpler 2D figures. Next to the original figure, sketch the simple figures and their dimensions.

Finally, find the area of each simple shape and add or subtract the areas to find the area of the original composite figure.

Check your answer!

If needed, use a calculator to help you crunch the numbers.

If your work didn't demonstrate that you understood (score <3), ask for help and fix it! Resubmit ASAP.

It's time to take your projects down (that are posted in the hallway). If you want to donate it to the class, please put it in the basket. Thank you!

Yesterday's group consolidation went really well! Let's take a look at some of the work and comments that were shared:

YOU ARE THE TEACHER! Can you find the mistake?

Start by looking for one thing that the group did well.

Then, see if you can find the error or mistake that led them to come up with the wrong solution.

Unit 3 Test is Tuesday 10/21.

The test will cover everything we studied in the unit and focus mainly on T3 and T6 (the essential standards).

It will be on the computer and on paper

For each of the following, click the link to open the worksheet. Do only the assigned problems. Check answers as you work.

In your notebook, sketch each image and write the dimensions. Write the formula, and substitute to find the area. Be neat.

Parallelograms: Do 1-7 (If you're interested, try the spicy ones: 13-15)

Parallelograms Answers

Triangles: Do 1-10 (If you're interested, try the spicy ones: 13-15)

Triangles Answers

Trapezoids: Do 1-7

Trapezoids Answers

* If you need a calculator: