1) Ryan picks 16 apples, Sammy picks 18 apples, and Tia picks 20 apples. They put 6 apples in each bag. How many bags can they fill?
2) Charles studied math this week on four days:
Monday for 15 minutes
Wednesday for 65 minutes
Thursday for 30 minutes
Sunday for 10 minutes
How long did Charles study math this week?
3) Kima has toy cars that are 3 inches long. How long are nine cars altogether?
4) Tran saved $5,500, and spent $750 to take a class. After the class, he earned $1,200. How much money does Tran now have?
5) The table shows the height of four mountains.
Mountain
Height (meters)
Broad Creek
8,051
Himalchuli
7,893
K2
8,611
Mount Everest
8,800
What is the tallest mountain? How much taller is it than the next tallest mountain?
6) What is the shortest mountain? How much shorter is it than the tallest mountains?
7) Mount Kea is a volcano that makes an island in Hawaii. The volcano is 4,205 meters above the water. There is another 6,000 meters of the volcano below the water. What is the total height of the volcano?
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You can watch this video at any time. Use the textbox below to list any words you do not know or questions you have. (You may want to have a piece of paper out, so you can write down questions you have.)
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Here are links to the materials a current student is using to explore Units 0, 1 and 2. She has high math anxiety so we are discussing each topic so she feels comfortable that she is prepared. The two biggest math issues are: 1) no understanding of part-whole relationships from a math sense; 2) no conceptual understanding of proportions.
Reading Example: Autobiography of Frederick Douglass
STEM from Mason/edMe
This event was Wednesday, 12/4. We have a partnership with the American Society of Naval Engineers to design their STEAM outreach and that is what is depicted by the boy that steals the show in this ABC7 piece:
Welcome to the first Saturday School! Scroll down to find your fun. You will see some fun for other people, but be sure to start with the thing you find most fun!!
Flight School – Paper Airplane Style
You might have made paper airplanes before, but not like this!
Things you need:
Paper (obviously!!)
Ruler
Pencil
Hard work
Using science
Step 1. Fold your paper airplane. Try 2 of these 3 ways:
While you build: Explore videos on our Flight page
Step 2. Test & Record data!
You can make your own table or print this one.
You are the scientist! Think about what variables you want to look at. Do you want to use different paper
Step 3. Use your data to make the best final design.
Share your data (and a picture of your plane if possible). Show off your STEAM success!
Share your answer as a paragraph or picture here.
Dec 7 – “A date that will live in infamy”
“Infamy” means famous for a bad reason. In 1941, U.S. president said that quote because Japan attacked Hawaii. Many people died that Sunday, and then the U.S. joined World War II.
You can see the actual video of President Roosevelt here. (This is a primary source because it is the actual information from the time.)
This CBS News story explains the Pearl Harbor attack and President Roosevelt’s speech.
Vocab you will hear:
hastily – very fast
transition – change from one thing to another thing
advisors – people that give advice
processing information – learning things
casualties – deaths
dictate – spoke to someone
deliberately – on purpose
paralyzed – cannot move legs (or arms)
Question: Do you think it was good this speech was six and a half minutes? Why or why not?
Share your answer as a paragraph or picture here.
This video from Crash Course covers World War II. We start it right before John Green describes the Pearl Harbor attack.
Your turn to study the history! Everyday someone tells you what to write. You choose today! You could write about:
What led to the attack on Pearl Harbor?
What events happened on December 7, 1941?
What happened after the attack on Pearl Harbor?
We found some great sources to help you gather facts:
You deal with whole numbers and money every day so we suggest starting with Unit 2 Practice first if these initial practices seem difficult. You memorized many rules about adding and subtracting fractions, and we are quickly going to more “rules” into common sense.
“Comparing apples and oranges” is a common phrase stating you cannot compare 2 things that are not alike. Young children start by adding 2 apples and 3 apples to find there are 5 apples. Similarly, you could add 2 orange wedges and 3 orange wedges to get 5 orange wedges. If both oranges had 8 total wedges then you may have just added 2 eighths and 3 eighths.
The biggest mistake to avoid
When we add and subtract, we have to add the same thing. Consider adding a half and a quarter.
The mistake is to add 1 half and 1 fourth and get 2 sixths. When you see it in words, hopefully it makes this mistake more obvious. You can also think about money: half a dollar is $0.50 or two quarters. So, when you add one half and one quarter it equals three quarters ($0.75).
This example can stick with you to help you add unlike denominators. You know half a dollar and one quarter is 0.75 or 3/4. Keep this in your memory whenever you need to add fractions!
We started with the big idea that is easy to make mistakes so that you could practice with this in mind. We really like this simulator so you can get used to building fractions and mixed numbers with different denominators.
In pizza terms, you can remember that one quarter of a pizza plus one half of a pizza is still three quarters of a pizza. This video will give you another resource for thinking about adding fractions.
Watch this video to understand how to add and subtract fractions. Remember that denominators must be the same!
Multiplying Fractions
This video explains how to multiply fractions. (You may want to start a “cheat sheet” with an example of each operation so you can become fast and accurate with these fraction calculations.)
Progress Check
Practice: This worksheet has subtraction of whole numbers, fractions and decimals. Click here when you are ready to check your answers.
Many people looking at NOVA find decimals more familiar than fractions because they work with money every day. If this sounds right to you, use this foundational fact to convert fractions into decimals to help you play to your strengths.
This interactive shows how to multiply decimals. (You can use it to add fractions up to 3.0, too!)
How to Multiply and Divide with Decimals
Converting between fractions, decimals and percents
We have talked a lot about fractions, decimals and numbers. Those core ideas will help you see how they are related. You know that 1/2 = 0.5 = 50%. You can divide 1 / 2 to find that the answer is 0.5 and you know that if something is 50% off, then it costs 1/2 as much. These two videos are 3-minutes long and give you the quick deep dive on how to convert between any numbers.
The big idea is that these type of numbers can represent similar numbers. The key to convert from fractions to other numbers is to divide the top number by the bottom number. Decimals and percents are very closely related. The only percents that may be surprising to you are fractions greater than 100%. If a bank account with $50 increases by 120%, then the increase is $50 x 1.2 = $60.
Word Problems
The new word problem idea is to make sure you use the correct units in your answer. In the actual question, underline the unit if you think you may forget it. Sometimes a word problem will give you all the measurements in inches and then ask for the answer in feet. You will need to remember to convert inches to feet. You may need to convert the answer after you calculate it (Example 1) or after you calculate it (Example 2). Here’s an example:
Example 1. A tile is 40 centimeters long and 10 centimeters tall. What is the area of the tile in square meters?
Example 2. Pauley has 24 toy cars end-to-end on a shelf. Each car is 3 inches long. How long must the shelf be?
What’s great about these types of word problems is that we are using real-life to understand fractions and decimals so the word problems may even be easier.
By the way, Example 1 is answer 0.4 meters x 0.1 meters = 0.04 square meters. For example 2, the cars cover 24×3 inches = 72 inches, which is 72/12 = 6 feet.
You can leave comments below if you have questions!
