The One Penny Whiteboard

The One Penny Whiteboard
Ongoing “in the moment” assessments may be the most powerful tool teachers have for improving student performance. For students to get better at anything, they need lots of quick rigorous practice, spaced over time, with immediate feedback. The One Penny Whiteboards can do just that. ©Bill Atwood 2014

To add the One Penny White Board to your teaching repertoire, just purchase some sheet protectors and white board markers (see the following slides). Next, find something that will erase the whiteboards (tissues, napkins, socks, or felt). Finally, fill each sheet protector (or have students do it) with 1 or 2 sheets of card stock paper to give it more weight and stability. ©Bill Atwood 2014

©Bill Atwood 2014

On Amazon, markers can be found as low as $0. 63 each
On Amazon, markers can be found as low as $0.63 each. (That’s not even a bulk discount. Consider “low odor” for students who are sensitive to smells.) ©Bill Atwood 2014

The heavy-weight model works well.
©Bill Atwood 2014

On Amazon, Avery protectors can be found as low as $0.09 each.
©Bill Atwood 2014

One Penny Whiteboards and
The Templates The One Penny Whiteboards have advantages over traditional whiteboards because they are light, portable, and able to contain a template. (A template is any paper you slide into the sheet protector). Students find templates helpful because they can work on top of the image (number line, graph paper, hundreds chart…) without having to draw it first. For more templates go to ©Bill Atwood 2014

Using the One Penny Whiteboards
There are many ways to use these whiteboards. One way is to pose a question, and then let the students work on it for a while. Then say, “Check your neighbor’s answer, fix if necessary, then hold up your whiteboard.” This gets more students involved and allows for more eyes and feedback on the work. ©Bill Atwood 2014

Group Game One way to use the whiteboards is to pose a challenge and make the session into a kind of game with a scoring system. For example, make each question worth 5 possible points. Everyone gets it right: 5 points Most everyone (4 fifths): 4 points More than half (3 fifths): 3 points Slightly less than half (2 fifths): 2 points A small number of students (1 fifth): 1 point Challenge your class to get to 50 points. Remember students should check their neighbor’s work before holding up the whiteboard. This way it is cooperative and competitive. ©Bill Atwood 2014

Without Partners Another way to use the whiteboards is for students to work on their own. Then, when students hold up the boards, use a class list to keep track who is struggling. After you can follow up later with individualized instruction. ©Bill Atwood 2014

Keep the Pace Brisk and Celebrate Mistakes
However you decide to use the One Penny Whiteboards, keep it moving! You don’t have to wait for everyone to complete a perfect answer. Have students work with the problem a bit, check it, and even if a couple kids are still working, give another question. They will work more quickly with a second chance. Anytime there is an issue, clarify and then pose another similar problem. Celebrate mistakes. Without them, there is no learning. Hold up a whiteboard with a mistake and say, “Now, here is an excellent mistake–one we can all learn from. What mistake is this? Why is this tricky? How do we fix it?” ©Bill Atwood 2014

The Questions Are Everything!
The questions you ask are critical. Without rigorous questions, there will be no rigorous practice or thinking. On the other hand, if the questions are too hard, students will be frustrated. They key is to jump back and forth from less rigor to more rigor. Also, use the models written by students who have the correct answer to show others. Once one person gets it, they all can get it. ©Bill Atwood 2014

Questions When posing questions for the One Penny Whiteboard, keep several things in mind: Mix low and high level questions Mix the strands (it may be possible to ask about fractions, geometry, and measurement on the same template) Mix in math and academic vocabulary (Calculate the area… use an expression… determine the approximate difference) Mix verbal and written questions (project the written questions onto a screen to build reading skills) Consider how much ink the answer will require and how much time it will take a student to answer (You don’t want to waste valuable ink and you want to keep things moving.) To increase rigor you can: work backwards, use variables, ask “what if”, make multi-step problems, analyze a mistake, ask for another method, or ask students to briefly show or explain answers ©Bill Atwood 2014

Examples What follows are some sample questions that relate to understanding measuring liquid volume and masses as outlined in the Massachusetts Curriculum Frameworks that incorporate the Common Core Standards: 3 MD2 ©Bill Atwood 2014

Examples Each of these problems can be solved on the One Penny Whiteboard. To mix things up, you can have students “chant” out answers in choral fashion for some rapid fire questions. You can also have students hold up fingers to show which answer is correct. Sometimes, it makes sense to have students confer with a neighbor before answering. Remember, to ask verbal follow-ups to individual students: Why does that rule work? How do you know you are right? Is there another way? Why is this wrong? ©Bill Atwood 2014

Templates Print the following slides and have students insert it into their One Penny Whiteboards. There are 7 Templates but you should also have a blank side ready for problem solving. ©Bill Atwood 2014

1 ML ©Bill Atwood 2014

2 ©Bill Atwood 2014

x Line Plot of how much water each 3rd grader drinks per day 3
Key: each x represents 1 student 0 liters 1/2 liter 1 liter 1 1/2 liters 2 liters 2 1/2 liters 3 liters x ©Bill Atwood 2014 ©Bill Atwood 2014

4 1 liter 2 liter ©Bill Atwood 2014

6 liter 5 liter 4 liter 3 liter 2 liter 1 liter 0 liter 5
©Bill Atwood 2014

6 ©Bill Atwood 2014

7 kilograms grams 1 1000 2 3 4 ©Bill Atwood 2014

Getting Comfortable with Liters
Estimating, using scales, adding, subtracting Insert Template #1 ©Bill Atwood 2014

Liters and milliliters are metric units used to measure volume– the amount of liquid held in a container… (beaker, glass, jar, mug, pitcher…) ©Bill Atwood 2014

What metric units are used to measure liquid volume?
Liters or milliliters. ©Bill Atwood 2014 ©Bill Atwood 2014

What is liquid volume? The amount of liquid in a container like this beaker. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

What metric unit would you use to measure the liquid in this beaker?
Liters or milliliters Ounces, cups, pints, quarts, gallons can be used to measure liquids but are not part of the metric system. ML ©Bill Atwood 2014

A liter is about 1 quart. Here are 2 quarts of milk and a liter of ginger ale.
©Bill Atwood 2014

A very common size for soda is the 2 liter bottle.
©Bill Atwood 2014 ©Bill Atwood 2014

How much is a liter? What common object comes in a liter size?
A liter is about equal to 1 quart. Milk comes in this size. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Abbreviation: Liter = L (l)
What size soda is this? 2 Liters Abbreviation: Liter = L (l) ©Bill Atwood 2014 ©Bill Atwood 2014

Abbreviation: ML (ml) = milliliter
For small amounts, you can use a milliliter milliliters = 1 liter Abbreviation: ML (ml) = milliliter This beaker contains 1000 ml (milliliters) A milliliter is very small. 5 milliliters = 1 teaspoon. A milliliter is 1/5 of this. ©Bill Atwood 2014 ©Bill Atwood 2014

Often medicine is given in milliliters
Often medicine is given in milliliters. When this device if full of medicine it is 1 teaspoon. 1/5 of it is 1 milliliter. 1 tsp 1 ml A milliliter is very small, you need a special syringe to give an accurate dose. It would be about the amount to fill from the bottom of your thumb to half way up your thumbnail. ©Bill Atwood 2014

How many milliliters are in a liter?
1000 milliliters = 1 liter ©Bill Atwood 2014

About how much liquid is a milliliter?
1/5 of a teaspoon From the tip of your thumb to half way up to your thumbnail. ©Bill Atwood 2014 ©Bill Atwood 2014

What is often measured in milliliters?
Medicine (you need a special syringe.) ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

About how many more milliliters need to be added to this beaker to make 1 liter?
Approximately ml more. ©Bill Atwood 2014 ©Bill Atwood 2014

What is the scale on this beaker? (What is it going up by)?
It’s marked off in 10 ml, but only the multiples of 20 are labeled. (Starts off at 20 not zero or 10) ML ©Bill Atwood 2014 ©Bill Atwood 2014

About how many milliliters (ml) of liquid are in this beaker?
Approximately 50 ml Assume it’s exactly 48 ml 48 ML ML ©Bill Atwood 2014

John said this contained 45 ml. What mistake did he make?
He thinks the scale is going up by 5’s. ML ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Shade the beaker so it contains approximately 60 ML
©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Shade the beaker so it contains Approximately 82 ML
©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Shade the beaker so it contains Approximately 50 ML
©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

X off liquid so it contains Approximately 30 ML
©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

X off liquid so it contains Approximately 20 ML
©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Write a number sentence to show your work.
This beaker has 48 ML. Use shading to add 17 ml to this beaker. How much do you have now? Write a number sentence to show your work. 65 ml 15 ml 17 ml 50 ML 2 ml 48 ML 48ml + 17ml = ? 48 + (2 + 15) = ? ML (48 + 2) + 15 = ? (50) + 15 = 65 ©Bill Atwood 2014

Use shading to add 32 ml to this beaker. How much do you have now?
Write a number sentence to show your work. 30 ml 32 ml 50 ML 2 ml 48 ML 48ml + 32ml = ? 48 + (2 + 30) = ? ML (48 + 2) + 30 = ? (50) + 30 = 80 ml ©Bill Atwood 2014 ©Bill Atwood 2014

Write a number sentence to show your work.
Use shading to subtract 18 ml from this beaker. How much do you have now? Write a number sentence to show your work. 48 ML 8 ml 40 ML 48ml - 18ml = ? 18 ml 10 ml 30 ml 48 – 8 – 10 = ? ML = ? = 30 ml ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Fractions with Liters Number Line Review Insert Template #2
©Bill Atwood 2014

Divide this container into 4 equal parts. Label them with fractions.
4/4 0/4 ©Bill Atwood 2014

4/4 8/8 ⅞ 6/8 ⅝ 4/8 ⅜ 2/8 ⅛ ©Bill Atwood 2014 ©Bill Atwood 2014

3/3 2/3 1/3 0/3 ©Bill Atwood 2014

3/3 6/6 5/6 2/3 4/6 3/6 1/2 1/3 2/6 1/6 0/6 ©Bill Atwood 2014 ©Bill Atwood 2014

Problem Solving with Liters
Using bar models and number sentences ©Bill Atwood 2014

This is a 3 liter beaker of water
This is a 3 liter beaker of water. Michael drank 4 of these these beakers. How much water did he drink? Think: You need to find the total. Draw a bar. 3 L Now, add in the information: 4 beakers Now, add in 3 liters in each beaker 3 x 4 = 12 liters Total liters ? 3 3 3 3 12 liters ©Bill Atwood 2014

This is a 2 liter beaker of water. Michael drank 5 of these these beakers. How much water did he drink? Think: You need to find the total. Draw a bar. 2 L Now, add in the information: 5 beakers Now, add in 2 liters in each beaker 2 x 5 = 10 liters Total liters ? 2 2 2 2 2 10 liters ©Bill Atwood 2014 ©Bill Atwood 2014

This is a 2 liter beaker of water. Michael drank 3 of these beakers every day for a week. How much water did he drink? Think: You need to find the total. Draw a bar. 2 L 2 liters x 3 days = 6 liters per day ? Liters each day 6 Each day 2 2 2 ? Liters each Week 42 Each week 6 6 6 6 6 6 6 6 liters x 7 = 42 liters ©Bill Atwood 2014 ©Bill Atwood 2014

Use a blank for the following slides
©Bill Atwood 2014

100 milliliters How much liquid is in each of these beakers? ML ML ML
©Bill Atwood 2014

Jessie thinks the beaker on the right has more liquid
Jessie thinks the beaker on the right has more liquid. Why does he think that? Why is he wrong? ML ML ML It looks more because the liquid is higher in the beaker. However, it is skinny and so it’s not more. The wide ones have the same amount. You can see by the labels all have 100m. ©Bill Atwood 2014 ©Bill Atwood 2014

How much liquid it this all together
How much liquid it this all together? Use a number sentence to show your thinking. 100 x 3 = 300 ml or 100ml + 100ml + 100ml = 300ml ©Bill Atwood 2014

It will take 4 25 ml beakers to fill it to the 200 ml mark
Sam is trying to fill the beaker on the right to the 200 ml mark. He only has a 25 ml beaker to fill it with. How many 25 ml will it take? 25 ml 25 ml 25 ml 25 ml 25 ml ML ML ML It will take ml beakers to fill it to the 200 ml mark 100 + ? = 200 ? = 100 ☐ = 4 25 x ☐ = 100 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

This beaker contains 8 liters. How many 2 liter beakers could it fill
This beaker contains 8 liters. How many 2 liter beakers could it fill? Use a number sentence to show your work. Think: You know the total. You need to find the parts. How many 2’s are in 8? Draw a bar. 8 liters ÷ 2 liters = ? 8 liters ÷ 2 liters = 4 8 liters 8 liters 2 2 2 2 ©Bill Atwood 2014

This can mean how many 3’s in 12
This beaker contains 12 liters of liquid. How many 3 liter beakers could it fill? Think: You know the total. You need to find the parts. Draw a bar. 3 x ☐ = 12 12 L 12 liters ÷ 3 liters = 4 This can mean how many 3’s in 12 12 liters 3 3 3 3 How many 3’s are in 12? ©Bill Atwood 2014

Think: You need to find the total water. Draw a bar.
To hike in the desert you need 4 liters of water each day. This container holds 4 liters. How many would be needed for on a seven day hike? Think: You need to find the total water. Draw a bar. Now, put on the 7 days. Then add in the 4 liters per day. ? Total liters 4 L 4 4 4 4 4 4 4 4 liters x 7 days = ? 28 liters for a week long trip ©Bill Atwood 2014 ©Bill Atwood 2014

During ordinary life, each person should drink 2 liters of water everyday. How much water should you drink in a week? Think: You need to find the total. You know 7 days and 2 liters each day. Draw a bar. 2 liters x 7 days = ? 2 L 14 liters per week ? Total liters 2 2 2 2 2 2 2 ©Bill Atwood 2014 ©Bill Atwood 2014

The total amount of liquid in these 3 beakers is 15 liters
The total amount of liquid in these 3 beakers is 15 liters. The red beaker has 2 liters. The green beaker has 4 liters. How much does the blue beaker contain? Use a number sentence to show your work. Think: You know the total. You need to find a part. Draw a bar. Put on what you know. 15 ml 2 4 ? ☐ = 15 6+ ☐ = 15 ☐ = 9 ©Bill Atwood 2014

He thinks it goes up by 5 not 50!
This beaker contains 450 ml. George thinks it contains 405 ml. Why is he wrong? He thinks it goes up by 5 not 50! ©Bill Atwood 2014

How many 50 ml beakers could you fill with this? Show total on a bar.
50 x ☐ = 450 450 ÷ 50 = ☐ 9 = ☐ 450 ml 50 50 50 50 50 50 50 50 50 ©Bill Atwood 2014 ©Bill Atwood 2014

Problem Solving with Liters
Line Plots and Problem Solving with Liters (insert line plot template) 0 liters 1/2 liter 1 liter 1 1/2 liters 2 liters 2 1/2 liters 3 liters x ©Bill Atwood 2014

Line Plot of how much water each 3rd grader drinks per day
Key: each x represents 1 student x x x x x x x x x x x x x x x 0 liters 1/2 liter 1 liter 1 1/2 liters 2 liters 2 1/2 liters 3 liters ©Bill Atwood 2014

x x x x x x x x x x x x x x x How many students drink 1 liter per day?
Key: each x represents 1 student x 3 Students x x x x x x x x x x x x x x 0 liters 1/2 liter 1 liter 1 1/2 liters 2 liters 2 1/2 liters 3 liters ©Bill Atwood 2014 ©Bill Atwood 2014

How many students drink 1/2 liter per day?
Key: each x represents 1 student x 6 Students x x x x x x x x x x x x x x 0 liters 1/2 liter 1 liter 1 1/2 liters 2 liters 2 1/2 liters 3 liters ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

What was the most common amount that students drink?
Key: each x represents 1 student x 1/2 liter is most common x x x x x x x x x x x x x x 0 liters 1/2 liter 1 liter 1 1/2 liters 2 liters 2 1/2 liters 3 liters ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

How many students drink more than 1 liter per day?
Key: each x represents 1 student x 5 Students x x x x x x x x x x x x x x 0 liters 1/2 liter 1 liter 1 1/2 liters 2 liters 2 1/2 liters 3 liters ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

How many students drink less than 1 liter per day?
Key: each x represents 1 student x 7 Students x x x x x x x x x x x x x x 0 liters 1/2 liter 1 liter 1 1/2 liters 2 liters 2 1/2 liters 3 liters ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

How was the largest amount of water that a student drank?
Key: each x represents 1 student The largest amount was 3 liters. x x x x x x x x x x x x x x x 0 liters 1/2 liter 1 liter 1 1/2 liters 2 liters 2 1/2 liters 3 liters ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

x x x x x x x x x x x x x x x How much water was drunk in all? TOTAL:
/2 + 5 = 15 1/2 LITERS Key: each x represents 1 student 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 = 3 whole liters = 3 whole liters x 1 1/ / /2 = x ( ) + 1/2 + 1/2 + 1/2= 4 and 1/2 liters x x x x 3 + 2 = 5 liters x x x x x x x x x 0 liters 1/2 liter 1 liter 1 1/2 liters 2 liters 2 1/2 liters 3 liters ©Bill Atwood 2014 ©Bill Atwood 2014

5 new students were added to the data set. See the tally chart
5 new students were added to the data set. See the tally chart. Than add them to the line plot. Liters Students Key: each x represents 1 student 0 liters I 1/2 liters 1 liters IIII x x x x x x x x x x x x x x x 0 liters 1/2 liter 1 liter 1 1/2 liters 2 liters 2 1/2 liters 3 liters ©Bill Atwood 2014 ©Bill Atwood 2014

More Fractions with Liters
Insert graduated cylinder template #4 ©Bill Atwood 2014

Finish marking off this beaker.
6 liter 5 liter 4 liter 3 liter 2 liter 1 liter ©Bill Atwood 2014

Shade this beaker so has 1 liter.

Shade this beaker so it contains
1 1/2 liters. 6 liter 5 liter 4 liter 3 liter 2 liter 1 liter ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

3 1/2 liters. 6 liter 5 liter 4 liter 3 liter 2 liter 1 liter ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

4 1/5 liters. 6 liter 5 liter 4 liter 3 liter 2 liter 1 liter ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

5 2/5 liters. 6 liter 5 liter 4 liter 3 liter 2 liter 1 liter ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Insert template #5 6 liter 5 liter 4 liter 3 liter 2 liter 1 liter
©Bill Atwood 2014

This is a large 6 liter bottle
This is a large 6 liter bottle. Divide it into 6 equal sections so you can tell how much water is in the bottle. 6 liter 6/6 5 liter 5/6 4 liter 4/6 3 liter 3/6 2 liter 2/6 1 liter 1/6 0 liter 0/6 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

When this bottle has 6 liters it is full
When this bottle has 6 liters it is full. When it has 1 liter it is 1/6 full. Label the right edge with fractions up to 6/6. 6 liter 6/6 5 liter 5/6 4 liter 4/6 3 liter 3/6 2 liter 2/6 1 liter 1/6 0 liter 0/6 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

When this bottle has 6 liters it is full
When this bottle has 6 liters it is full. When it has 1 liter it is 1/6 full. Label the edges with fractions up to 6/6. 6 liter 6/6 5 liter 5/6 4 liter 4/6 3 liter 3/6 2 liter 2/6 1 liter 1/6 0 liter 0/6 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Shade this beaker so it 1/6 full.
6 liter 6/6 5 liter 5/6 4 liter 4/6 3 liter 3/6 2 liter 2/6 1 liter 1/6 0 liter 0/6 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

6 liter 6/6 5 liter 5/6 4 liter 4/6 3 liter 3/6 2 liter 2/6 1 liter 1/6 0 liter 0/6 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

6 liter 6/6 5 liter 5/6 4 liter 4/6 3 liter 3/6 2 liter 2/6 1 liter 1/6 0 liter 0/6 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

6 liter 6/6 5 liter 5/6 4 liter 4/6 3 liter 3/6 2 liter 2/6 1 liter 1/6 0 liter 0/6 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

6 liter 6/6 5 liter 5/6 4 liter 4/6 3 liter 3/6 2 liter 2/6 1 liter 1/6 0 liter 0/6 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

What fraction is shaded?
6 liter 3/6 or 1/2 5 liter 4 liter 3 liter 2 liter 1 liter 0 liter ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

6 liter 1/6 5 liter 4 liter 3 liter 2 liter 1 liter 0 liter ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

6 liter 6/6 = 1/1 = 1 5 liter 4 liter 3 liter 2 liter 1 liter 0 liter ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Carla Marie 1/2=3/6 2/6 1/2 > 2/6 Carla drank more!
Carla drank 1/2 of a bottle. Marie drank 2/6 of a bottle. Who drank more? Draw a second bottle to show your thinking. 1/2 > 2/6 Carla drank more! 6 liter 6/6 5/6 5 liter Carla 4 liter Marie 4/6 3/6 3 liter 2/6 2 liter 1/2=3/6 2/6 1 liter 1/6 0 liter ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Frank drank 4/6 of a bottle. Mary drank 2/3 of a bottle. Who drank more? Draw a second bottle to show your thinking. 4/6 = 2/3 They drank same amount 6 liter 6/6 Frank Mary 5/6 5 liter 4 liter 4/6 1/3 3/6 3 liter 2/6 2 liter 4/6=2/3 1/3 1 liter 1/6 0 liter ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Joe drank 3 liters. What fraction is left?
1/2 of bottle 5 liter 4 liter 3 liter 2 liter 1 liter 0 liter ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Joe drank 1 liter. What fraction is left?
5/6 of bottle 5 liter 4 liter 3 liter 2 liter 1 liter 0 liter ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

This is a 6 liter bottle. If 3 friends share it equally, how many liters will each person drink? Use a bar model and number sentence. 6 ÷ 3 = 2 liters 6 total liters 2 2 2 ©Bill Atwood 2014

This is a 6 liter bottle. If Dustin drinks 4 bottles, how much will he have drunk? Write a number sentence and a bar model. 6 x 4 = 24 liters ? total liters 6 6 6 6 ©Bill Atwood 2014 ©Bill Atwood 2014

Finish marking off this beaker.
10/10 1000 ml 9/10 900 ml 8/10 800 ml 7/10 700 ml 6/10 600 ml 5/10 500 ml 4/10 400 ml 3/10 300 ml 2/10 200 ml 1/10 100 ml ©Bill Atwood 2014

350 ml Estimate the amount of water in the beaker. 100 ml 1/10

Shade the beaker so it is 1/2 full.
How many MLs is this? 500 ML? 1/10 100 ml ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

If this beaker is at 350 ml, how much must be added to reach 1 liter?
1/10 100 ml 650 ml ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

In the morning this beaker had more liquid
In the morning this beaker had more liquid. Mary came along and poured out 200 ml. Now it has only 350 ml. How much did it have in the morning? ☐ = 350 ML ? Milliliters in AM 200 350 Poured out Liquid left 1/10 100 ml 550 ml ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

This beaker has 350 ml. Charlie wants it to have 100 ml
This beaker has 350 ml. Charlie wants it to have 100 ml. How much should he pour out? 350 - ☐ = 100 ML 350 Ml before 350 ml 100 ? Desired amount Pour out 1/10 100 ml 250 ml ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Rene drank this amount (350ml) every day for 3 days
Rene drank this amount (350ml) every day for 3 days. How much did he drink? 350 x 3 = ☐ = ☐ 350 ml ? total 350 350 350 1/10 100 ml 350 x 3 = 1050 ml ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Getting Comfortable with Grams, Kilograms, and Mass
Insert Scale Template #7 kilograms grams 1 1000 2 3 4 ©Bill Atwood 2014

Kilograms are used for weighing objects or finding Mass (how much matter something has)
1 1000 2 3 4 ©Bill Atwood 2014 ©Bill Atwood 2014

1 Kilogram is about 2. 2 pounds
1 Kilogram is about 2.2 pounds. A dictionary, a pineapple, and a baseball bat each weigh about a kilogram. kilograms grams 1 1000 2 3 4 ©Bill Atwood 2014

About how many pounds is a kilogram
About how many pounds is a kilogram? What everyday objects weigh a kilogram? kilograms grams 1 1000 2 3 4 ©Bill Atwood 2014 ©Bill Atwood 2014

There are 1000 little grams in 1 kilogram
There are 1000 little grams in 1 kilogram. A paper clip weighs about a gram. kilograms grams 1 1000 2 3 4 ©Bill Atwood 2014 ©Bill Atwood 2014

How many grams in a kilogram? What everyday object weighs a gram?
kilograms grams 1 1000 2 3 4 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Fill out the chart. 3 3000 4 4000 kilograms grams 1 1000 2 2000

Draw another kg. on the scale and change the needle and chart.
kilograms grams 1 1000 2 2000 3 4 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

If the needle was here, how many kg would be on scale. Draw them
If the needle was here, how many kg would be on scale. Draw them. Record on chart. kilograms grams 1 1000 2 3 3000 4 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

If the needle was here, add weights to match the needle.
kilograms grams 1 1000 2 3 4 1 1/2 1500 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Show where the needle would go for these weights.
kilograms grams 1 1000 2 3 4 2 1/2 2500 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Show where the needle would go for these weights.
kilograms grams 1 1000 2 3 4 3 1/2 3500 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Bobby has 4 kilograms. How many grams is this?
1 1000 2 3 4 4000 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Bobby has 3 kilograms. How many grams is this?
1 1000 2 3 3000 4 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Bobby has 1/2 kilograms. How many grams is this?
1000 2 3 4 1/2 500 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Bobby has 2000 grams. How many kilograms is this?
1 1000 2 2000 3 4 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

1 1000 2 3 4 4000 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

1 1000 2 3 4 1/2 500 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

Think: You know the total!
Draw a bar. Put the total on the bar Now find the parts… 10 blocks = 200 200 total grams ? ? ? ? ? ? ? ? ? ? 20 20 20 20 20 20 20 20 20 20 Now solve: 10 x ☐ = 200 This apple weighs 200 grams. That is the same as 10 blocks. How much does 1 block weigh? ©Bill Atwood 2014

Red, purple, orange, and yellow weights are all different sizes
Red, purple, orange, and yellow weights are all different sizes. What could each weigh in grams? One answer: Red = 80 Purple = 20 Orange = 40 Yellow = 60 100 grams 100 grams ©Bill Atwood 2014

6 apples weigh approximately 1200 grams
1200 total grams ? ? ? ? ? ? 200 200 200 200 200 200 6 x ☐ = 1200 Approximately how much does 1 apple weigh? 200 grams ©Bill Atwood 2014

These apples weigh 600 grams. Each apple weighs the same amount
These apples weigh 600 grams. Each apple weighs the same amount. How much does one apple weigh? ©Bill Atwood 2014

Approximately how much does this cat weigh?
Scale in pounds Approximately how much does this cat weigh? 40 pounds ©Bill Atwood 2014

Estimate how much would 3 of these cats weigh?
Scale in pounds Estimate how much would 3 of these cats weigh? ? total pounds 120 pounds 40 40 40 ©Bill Atwood 2014 ©Bill Atwood 2014

If the scale read 160 pounds, how many of these cats would be on it?
Scale in pounds If the scale read 160 pounds, how many of these cats would be on it? 160 total pounds 4 cats 40 40 40 40 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

What is the scale on this measuring device? (What does it go by?)
It is marked off in 5’s but only the 20’s are labeled! ©Bill Atwood 2014

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