Let's learn how to sketch a three-dimensional rectangular prism

Surface Area (S.A.) is the total area of all outside faces of a 3D object, measured in square units (ft², in², cm², yd², etc.)

It represents the total space covering an object's exterior, such as the amount of wrapping paper needed to cover a box.

It is calculated by adding the areas of all individual faces.

Play the first minute or so... to tease out some vocabulary

1. What is the surface area of a prism with a height of 13 cm, a length of 7 cm, and width of 7 cm? (square base)

2. What is the surface area of a prism with a height of 13 cm, a length of 6 in, and width of 9 in? (rectangular base)

3. What is the surface area of a cube with a side length of 7 yards?

To find the Surface Area (SA) of a prism:

#1. Sketch the net

#2. Write the dimensions for ALL of the sides

#3. Use the dimensions to find the area of each of the faces

#4 Add the areas to find the total surface area

1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.

p767 1, 2, 3, 4, 5 (Volume 2, Chapter 10, Lesson 3)

2. Write down at least three things to remember about this topic in your math notebook (include examples)

3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search

Thursday is a retake day!

Papers are on the bottom shelf of the bookshelf near Mr. Olsen's desk.

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

Pick one or two problems that you did and show your work to you seat partner.

On the blank side, write: First name, last name, U10T2

Turn-taking ----------------------> Collaboration

When you work with your team (x), you learn and grow (y)

1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.

2. Write down at least three things to remember about this topic in your math notebook (include examples)

3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search

Tomorrow is a retake day!

Papers are on the bottom shelf of the bookshelf near Mr. Olsen's desk.

U10T2 Entry Ticket

Where does volume show up in the world around us?

Calculating the volume of water in your pool (cubic gallons, so you can add/buy chemicals)

Comparing backpacks (cubic liters, so you know if you are able to hold all your stuff/gear)

Ordering concrete for a new sidewalk, driveway, or foundation (cubic yards)

The formula for finding the volume of a prism is V = B · h (Volume = Base Area times Height)

To multiply fractions: turn mixed numbers into improper fractions and multiply straight across. Then simplify.

How does area relate to volume? (start 1:00, pause at 2:24)

Show FIAB question involving units

Let's use the rectangular prisms we created in class to explore volume:

1. Calculate the volume of a rectangular prism and use cubes to verify results

2. Use cubes to determine measurements of prism with fractional edge lengths and calculate the volume

To find the volume of a prism:

* If needed, sketch 3d prism (with dimensions)

#1 Write volume formula (V=Bh)

#2 Substitute the formula for finding the area of the base (B)

#3 Substitute dimensions

#4 Multiply and write answer with units³

1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.

p745 14, 15, 16, 17; p743: 1, 2, 3 (Ch10-1, Volume 2)

Answers to odd numbered problems are in the back of the book. Even ones below:

2. Write down at least three things to remember about this topic in your math notebook (include examples)

3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search

Unit 10 Test is next week on Thursday 3/19

No graphic organizer

EVERYONE: If you have a watch, phone, or Chromebook, please turn it off and put it in your backpack. Place your backpack in the front of the room.

Retaking? You need at your desk: the CYUqs you want to trade, pencils and/or pens, and something to do when finished (book to read, paper to draw or write on, NO Chromebooks).

NOT retaking? You need something to quiet to work on (NO Chromebooks or other electronics).

Once everyone is setup, I will call you up row by row to trade me for a retake.

This is a quiet testing environment. No talking or communicating in any way.

Minimum day

¾⋅ ⅔

⅘ ⋅ ⅓ ⋅ ⅗

1 ⅗ ⋅ 2 ⅔

1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.

2. Write down at least three things to remember about this topic in your math notebook (include examples)

3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search