Download WRPs Grade 6 CCSS

Document related concepts

Halting problem wikipedia , lookup

Transcript
Name:
Date:
1.1: Explain how you could check your answer to Problem 4a.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
1.2: Explain how you can check your answer to Problem 4 without
using a calculator.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
1.5: Explain the strategy you used in Problem 3 to convert
between centimeters and meters.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
1.6: Explain why your estimate in Problem 2 may be greater or
less than the exact answer.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2. Average wind speeds for major
U.S. cities are displayed in the
table below.
1.7: Write a question that you think the data in Problem 2 answer.
Is the question you wrote a statistical question? Explain your
answer.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
1.9: Explain what would happen to the median in Problem 3 if the
number of people for Tour 3 changed from 40 to 22.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2.1: Explain how you solved Problem 5a.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
3. This line graph shows the average
monthly rainfall in Jacksonville, FL.
Which conclusion can you draw
from the graph?
Date:
A. At least 10 months of the
year, the average rainfall is
less than 3.5 inches.
B. The average rainfall increases
from June through December.
C. The average rainfall for May
and November is about the
same.
D. Jacksonville gets more rain on
average than Tampa.
2.2: Explain why each of the other three answers for Problem 3 is
not the best choice.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2.5: Explain why the product 77 x 0.1 (Problem 1b) is less than
77.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2.6: When you multiply two factors, each of which is less than 1,
the product is always less than either of the factors. Explain why,
using two examples from Problem 3.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3. The members of the Smith School
cross-country team were timed on
a one-mile run. Their times were
rounded to the nearest 0.1 minute
and recorded below. Use the data
to construct a bar graph (right).
2.7: Explain whether the bar graph you created for Problem 3 is a
histogram.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2.9: Explain how you decided where to place the decimal point in
Problems 1c and 1d.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2.10: Describe something you notice in the ordered pairs as you
move from P to Q on the line graph in Problem 5.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3.1: Explain how you know where to place the decimal point in the
quotient of Problem 4.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3.2: Describe the general pattern you wrote for Problem 1 in
words.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3.5: Explain how you can use 24, in Problem 4a, to help you write
28 in standard notation.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3.6: Describe the strategy you used to rename 0.3 as a percent in
Problem 4.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3.8: Explain the strategy you used to compare the numbers in
Problem 3b.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4.1: Explain how you found the value of m in Problem 2b.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4.2: Explain how you solved Problems 2b and 2d.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4.5: Is 302.7 x 10-3 equal to 302.7 ÷ 1,000? Explain.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4.6: Explain the strategy you used to compare the fractions in
Problems 1a and 1b.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4.9: Explain the strategies you used to compare and order the
fractions in Problem 1.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
5.1: Explain how to convert each fraction in Problem 4c to a
decimal.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
5.2: Explain how you might find the sum of the interior angle
measures in Problem 1 without using a protractor.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
5.5: Explain how to rewrite Problems 4b and 4d as multiplication
problems.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
1. Rotate rhombus BDFH 90°
counterclockwise about point
F(0,0). Then plot and label the
vertices of the image that results
from the rotation.
5.6: Identify another rotation in Problem 1 that will produce an
image with vertices at the same location as the image you got by
performing a 90° counterclockwise rotation.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
5.7: Sally said, “To solve Problem 1, I don’t have to graph the
points. I only have to find an opposite.” Do you agree with Sally?
Explain your answer.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
1. Without using a protractor, find the
degree measure of each angle listed
below.
5.8: Explain how you found the angle measures in Problem 1.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
6.1: Explain how to mentally solve Problems 2b and 2d.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
6.2: Explain how you determined the number of feet in Problem
4c.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
6.5: Explain why 3/4 of 80 is less than 80, while 9/8 of 2 is greater
than 2.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
6.6: Explain how you know that <L and <O in Problem 3 are
congruent.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
6.7: Write a number story that can be modeled by the number
sentence in Problem 2b.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
6.9: Explain how you mentally calculated 15% of 90 (Problem 5c).
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
6.10: Explain how you found and checked the solution to Problem
1c.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
7.1: Explain what happens to the solution of Problem 2a when
you multiply each term of the equation by 2.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
7.2: Two events are dependent if the occurrence of the first even
affects that of the second event. Suppose you draw a white
square in Problem 1, do not replace it, and then draw another.
Explain why the two draws are dependent events.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
7.5: Explain why the graph in Problem 2 does not represent the
set of counting numbers.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
7.6: Explain how you estimated each percent equivalent in
Problem 5.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
7.7: Give an example of a real-world context that is modeled by
the inequality graphed in Problem 2. Do the values shown on the
graph make sense in the context? Explain your answer.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3. For lunch, the school cafeteria
offers a main course and a
beverage. For the main course, the
students can choose spaghetti,
hamburgers, or hot dogs. The
beverage choices are milk, soda,
and juice. Draw a tree diagram to
show all the possible meal
combinations.
If you choose a meal at random, what
is your probability of getting a
a. Hot dog? ___________
b. Hot dog and juice? __________
8.1: Explain how to calculate the number of possible meal
combinations in Problem 3 without making a list or tree diagram.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3. Thirty-three sixth graders at Maple
Middle School belong to the drama
club. Thirty-seven sixth graders are
in the school choir.
Use this information to complete
the Venn diagram below.
Sixth Graders at Maple Middle School
8.2: Explain how you used the information given in Problem 3 to
complete the Venn diagram.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
8.5: Explain how you found the area of triangle APE in Problem 5.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
8.6: Explain how to translate Problem 1a into an equation you
could use to find the number of counters.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
8.9: Explain the method you used to find the difference in
Problem 3b.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
8.10: Describe the steps you used to rename the fraction in
Problem 3 as a decimal.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.1: Explain how you identified the regular polygons in Problem 4.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.2: Explain how you found the coordinates of the midpoint of line
segment AB in Problem 5d.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.3: Explain how the ratio in Problem 3c is related to the ratio of
the corresponding sides.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.6: Explain how you found the number of faceup cards in
Problem 3.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.7: Describe each step you followed to draw the circle in
Problem 5.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.10: Describe each step you used to find the solution to Problem
2d.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.11: Explain how you calculated the height in Problem 2.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
10.1: Explain how you decided whether Problems 6a and 6d are
true or false.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
10.2: Explain how you estimated the product in Problem 2b.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________