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Quiz Quiz Trade Cards for Math

Grade 6

Purpose: To give students an opportunity to review material, teach and explain ideas, use critical vocabulary, and move about the classroom working on social skills.

Prepare: Use index cards or the top half of a full sheet of paper to create one question for each student in your class. The answer should be on the back of the card or on the bottom half of the sheet. Answers should be clear, accurate, and student friendly (showing all steps, answer in correct form).

The questions should:

1. Emphasize process over computation (How would you find? Estimate the answer Explain error)

2. Include academic verbs: explain, show, identify, indicate, (shade, select, click, drag) express, solve, compute, calculate, evaluate, estimate, approximate, claim, reason, prove, interpret, evidence, critique, reasoning, justify

3. Include math related vocabulary: coefficient, intercept, function, coordinates, independent

4. Ask students generally about the graphic: key information given, questions likely asked, related vocabulary

5. Ask students to imagine or identify a common error or analyze a given type of error

6. Include multiple parts (often an easier part then a more difficult part)

7. Make students: generalize (What does area mean?); work backwards (Given the area, what is length?); use variables (find perimeter of regular pentagon with side 2n + 3 inches long); ask What if? (what if it was hexagon); explain a pattern; explain why; explain more than one way to solve

8. If the question uses an already formed test question from a state test, then pose a different question that goes beyond the given question (Why is answer choice C definitely wrong? What choices can you easily eliminate? Why is D tempting? Why is this problem tricky? What else could they have asked? Explain how you know you are correct)

9. Make questions easy to read, not too long, not too open-ended (its hard to list all the possible solutions)

10. Include answer in a form that matches your expectations (formula is presented empty then filled in)

11. Include an answer that might show two ways to solve the problem (one visual, one with a graph etc.)

Remember, students are walking around and thinking on their feet. They wont be able to do complex calculations. Ask for estimations, approximations, how would you, why, etc. (Why is 3 = 12?; Can you estimate the volume, for a prism explain why the formula: area of base times height is the same as (l)(w)(h)? What is the difference in these word problems and how are the number sentences different? (i.e. one asks missing total and one asks for missing factor)

Explain to Students:

Today we are going to use Quiz Quiz Trade Cards. These will help you to: explain your ideas better, review key material, practice going from strand to strand, get to know your classmates, learn how to study, get exercise, and do mental math, and teach others. Quiz Quiz Trade Cards are like advanced flash cards. There is a question on the front and the answer is on the back. Often the front has a two-part question or a question that needs an explanation. Quiz Quiz Trade Cards work like this: (model this part with a student)

When you get your card review both sides. On my signal, stand up and find someone who is looking for a partner. BE NICE! Find a partner, stand shoulder to shoulder. Ask your question. If your partner doesnt know the answer give a hint, another hint, then tell them. HINT, HINT, TELL. (If your partner is really struggling you can skip the second part of questions.) Then have the other person ask you his or her question. When you are finished, trade cards. Then head out and look for another person. You can raise your hand up to show you are available, so others can see you. If you get the same question twice, just be an expert and answer it better. Three rules: Spread out; keep your voices down; and be nice. (You will have to sit down if you do not play well with others).

Pass out the cards. After a minute, allow the students to move about for 8-10 minutes mingling with others. Encourage them to get to as many different questions/people as they can. Tell students that its fine if they encounter the same question twice. When seeing a card for the second time they should be an expert on that question.

After the time expires, collect the cards and have students return to seats. Ask one of the following questions for a quick write: (dont forget: quota plus time limit 2 minutes)

1. What was good about this activity? (Suggestions to make it better? Especially for 1st time)

(write 4 lines or more.)

2. Draw and write about (list) as many cards as you can remember seeing. (Get at least 3)

3. List as many math words that you encountered. (List at least 5)

4. Describe one thing or more that you learned or reviewed. (write 3+ lines)

5. Describe one easy question and one harder question. (What was the hardest question you got?) (3 lines or more)

6. How good a teacher were you? (on a scale of 1-10) Explain your score. How could you be better?

After:

Students will not have seen all the cards but you can put up some of the cards with the document camera and solve them together or have students solve them or discuss/review them. Tell students, We will use Quiz Quiz Trade cards frequently this year. I will be adding and retiring cards as we become more skillful. In the future you will have opportunities to make cards for new Quiz Quiz Trade sessions. Tell them they may see a Quiz Quiz Trade card as a short quiz in the days ahead.

Differentiated Strategies:

1. Show the cards to the students who might struggle beforehand. Let them practice the answers so they feel more confident.

2. Use with a fewer number of cards by using duplicate cards. When students see a card they have already seen, they feel more confident. There can be bonus questions to keep it challenging.

3. Consider playing with two different sets of cards that are color-coded by difficulty (i.e. green easier, blue harder). Tell students to decide which level of challenge they are up for. They can move up or down based on how confident they are feeling.

4. Each card could have a bonus question on bottom for students who want more of a challenge.

5. If class management is a problem consider putting students into two lines, each person facing a partner about 1 meter apart. Make the questions shorter with simpler answers. Then, have students Quiz, Quiz, Trade. After 1 minute, ring a bell. Finished or not, trade cards (or keep the same card). One line of students moves down one person, so everyone faces a new partner. Repeat.

This method eliminates wandering students and down time. However, its important to try and make the cards have a simple part and then a bonus part. Maybe both students can get to the simple part, if there is time, go on to bonus part.

6. Students can make a Quiz Quiz Trade Card.

Focus Areas:

a. Include 1-2 clear, solvable, easy to read question(s)

b. Include 1 question that:

1. Asks why or explain

2. Asks What if questions

3. Attacks common mistakes

4. Uses a variable or pattern

5. Makes one work backwards

6. Uses math and/or academic vocabulary (list should be provided)

7. Generalizes the problem by asking about what might be asked, what vocabulary is related, what mistakes should be avoided

8. Emphasizes process over answers: how would you find, estimate and explain

c. Answers are clear, accurate, and easy to read

Q

A

Explain how you know you are correct.

Q

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Notice that the y coordinates are the same. That means you only need to find the distance between the x coordinates.

Notice that the library is at -4 so to travel to the school (at 5, -6) you must travel across to zero first. That distance is 4 units to the right.

Then you must go an additional 5 units to the right to get to the school. The total distance is 4 + 5 = 9

To do this problem mathematically find the difference: 5 (-4) = 9

What do you notice about the coordinates?

How could you solve if you didnt have a grid to look at?

A. How many inch cubes will fit in the right rectangular prism.

B. Its tricky because the dimensions have fractions!

C. First, find out how many inches are in each of the dimensions.

(for example: 4 inches = quarter inches)

Then multiply (area of base) x height.

What is likely to be asked in this situation?

What is going to be tricky about this problem?

What would be one logical first step?

Q

A

Joe is wrong because he is not looking carefully about the problem. Use a bar model to show what you know:

Joe tried to solve with this equation: = n

Explain why he is wrong.

Q

A

= n

9 1/3 cups of snack mix

Snack bags

2/3 cup

2/3 cup

How many 2/3 cups are in 9 1/3 cups?

2/3 cup

2/3 cup

2/3 cup

Did not distribute the 3. This means 3 (n+6)s

(n + 6) + (n + 6) + (n+6) = 3n + 18

Correct

Did not distribute correctly. (see above)

Correct

This shows 3 (n +6) as 4(n+6) 1(n+6)

Imagine nine fives = (10 fives) (1 five)

Q

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Explain your thinking for each.

What are 4 ratio questions likely to be asked in this situation with model boats and model planes?

What is important to remember when writing ratios like the ratio of boats to planes?

When writing ratios, make sure you have the order correct.

Boat to planes 4:3 or

Write ratio of planes to boats.

Write ratio of boats to planes.

Write ratio of boats to total.

Write ratio of planes to total.

Q

A

B. is opposite of (and )

C. > because is to the right of zero indicating a greater value. Its above zero!

-1/4

-3/4

-2/4

2/4

1/4

3/4

A. Name all the points on this number line.

B. Which point is opposite ?

C. Compare and (use < > =) Use number line to explain.

Q

A

A. Case contains 36 bottles

Case costs $4.69

Sells each bottle for $0.75

B. How much profit if he sells all bottles?

C. Find the amount made from sales! (36 times 0.75) Next, subtract the cost of the case ($4.69). Profit = total sales total cost

A. What are the key facts you know from this problem?

B. What is the question asking?

C. What would be a reasonable first step?

Q

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Single answer no variability

Single answer no variability

Single answer no variability

Q

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Statistical questions are answered by collecting data with variability. These are questions in which you would not expect a single answer. In this case, the heights of the oak trees would vary from tree to tree. So there would be variability.

23

1. Find the cost of some amount of cheese. (cost for 2 lbs, 3 lbs)

2. Find the weight of some cost of cheese. (weight of $2, $3, $4)

3. Find the unit rate: cost for 1 lb of cheese.

4. Give an expression for the cost of n pounds of cheese

5. What is the dependent or independent variable?

6. Make a table with this data.

What are 3+ likely questions?

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B is correct because summer had most students: 180 out of the total.

Fall and winter were equal amounts and spring was least.

Explain your thinking

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Find the area of the 3 rectangles (

Find the area of the 2 triangles +

Add all the areas together.

Describe how you would find the surface area of this triangular prism. Explain your thinking.

Q

A

The equation is asking what number divided by 4 = 9.

36 is the only possible answer!

You could solve by doing the inverse operation and multiplying both sides by 4.

Explain your thinking

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A

I know there are 24 students.

I know there are 18 who study Spanish. To find the ratio of French Students to Spanish Students I need to find how many study French.

That means there are 18 + N = 24 6 students study French.

The ratio is (simplified by dividing by 6)

The ratio is 1: 3

How would you find the ratio? Explain your thinking.

Q

A

If you forget, put the cursor over them. The name will appear.

Exponents/powers, square root, cube root, PI

Pos/neg sign, negative sign, times dot, division slash

Add, subtract, multiply, divide

Name or describe each key on this calculator.

If you forget what can you do?

Parenthesis, degrees, absolute value

Equal, not equal, fractions, mixed numbers

Q

A

A. What does this table show?

B. What is the question asking?

C. How would you find the solution?

A. Table shows relationship between pies sold and profit made.

B. How much profit from each (one) pie.

C. If its $8 for 2 pies, find the unit rate.

Q

A

The interquartile range is the difference/distance between the 1st Quartile and the 3rd quartile. 13 8 = 5

Explain your thinking

Q

A

526.8

-318.05

Remember, you must subtract hundredths from hundredths!

Write .8 as .80

Because they are equal

526.80

- 318.05

Q

A

A. What equation matches this question?

B. When you add or subtract decimals what should you remember?

If Bob chose A, what mistake is he making?

What is the correct answer?

Q

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Bob is only looking at the first row!

1 + 3 = 4

You must look at all the rows! The equation must be true for all values!

The answer is C.

1. Simplify expression 2n + 3n = 5n

Then substitute 6 into the new expression

5(n)

5(6) = 30

2. Substitute 5 in for n each time it appears.

2(n) + 3(n)

2(6) + 3(6)

12 + 18 = 30

What are 2 ways to find the value of this expression?

Q

A

C has the greatest value

A. 8 + 8 = 16

B. 8 + 7 = 15

C. 9 + 9 = 18

D. 9 + 7 = 16

What does

What does mean? What is a common mistake?

Bonus: Which is greatest?

means not

means not

Q

A

Think of it as an array or area!

30 x ? = 750

How can you help Bob understand how to solve this problem?

Explain what you know and need to find.

You know there are 750 seats and they are in 30 rows.

Every row has the same seats.

So if 1 row has 10 seats then 30 rows x 10 seats = 300 seats

So think

30 x ? = 750

Q

A

What are 3 questions likely to be asked here?

1. Find the area of the pond.

2. Find the area of the park.

3. Find the area of the grassy part.

Q

A

C is correct because the unit rate is 50h.

She gives away $50 each hour.

If you subtract that from the $1000 you started with thats how much is left!

Explain why C is correct

Q

A

Kids pick it because 17 comes first in the sentence!

Instead think of a real life situation. Bob took $10 from $100.

$100 $10 =?

A is wrong because this expression represents:

subtract x from 17. 17 is being taken from x! So it must be x -17.

Why is A wrong? Why do kids pick it?

Q

A

A. This is a histogram.

B. It shows the minutes spent studying by students. It shows the distributions of the data in groups.

C. How many students studied:

1. 21-25 minutes

2. more than 20 minutes

3. between 0 and 15 minutes

A. What is this called?

B. What does it show?

C. What is likely to be asked?

Q

A

What are the 3 key facts that you know in this problem.

1. He surveyed 48 students.

2. 25% chose soccer.

3. Baseball and Football are equal numbers.

Q

A

B shows a constant rate of changes because line goes up the same amount each time. Its linear (line).

The change in y coordinates (how much it goes up) is the same for each change in x coordinates. In B,

y goes up 2 for every time x goes over 3.

Which shows a constant rate of change? Explain.

Q

A

D shows x > 4 because it shades all the numbers to the right, bigger than 4.

B is Correct. This shows that x is all the numbers less than 4.

For example: 3, 3,

2 . And so on!

Why is D wrong?

Q

A

A. A = -7 B = -6 C = -4 D = -3

B. If you start at zero and count to the left: -1, -2, -3 you will see that C is -4 and B is -6

C. -6.5 (Its right between -5 and -6)

A. Identify the locations of each point on the number line.

B. Why is B not -4?

C. What point is between A and B?

Q

A

The unit rate is the rate or ratio for 1 thing! In this case its the cost for 1 carton of orange juice.

To find it: set up equal ratios:

A. What is a unit rate?

B. How do you find it?

Q

A

Combine like terms!

dogs + dogs = more dogs

cats + cats = more cats

g + g + g + 3f + f

3g + 4f

Q

A

Describe what you could draw to think about this problem.

What answer is correct? Explain.

Q

A

The answer must be B. -150

Ethan

These number must be between

0 and -200

Ethan is WITHIN 200 feet of sea level!

Sea level= 0

Q

A

Make a Quiz Quiz Trade Card

Focus Areas:

b. Include 1-2 clear, solvable, easy to read question(s)

b. Include 1 question that:

1. Generalizes the problem by asking:

a. What is known?

b. What might be asked?

c. What vocabulary is related?

d.. What mistakes should be avoided?

2. Emphasizes process over answers:

a. How would you find?

b. What are the first steps?

c. Explain how you know. Give your reasoning.

d. Estimate and explain.

e. Asks why?

3. Asks What if questions

4. Attacks common mistakes

5. Uses a variable or pattern

6. Makes one work backwards

7. Uses math and/or academic vocabulary (see list at front)

c. Answers are clear, accurate, and easy to read

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A total of 300 trees will be planted in the park. There will be 2 pine trees planted for every 3 maple trees planted.

On the coordinate grid, select the point that represents the number of pine trees planted and the number of maple trees planted.

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Number

of dolls

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