Bridges in Mathematics Grade 4 Student Book Unit 4 Module 4 Answer Key

Practicing the Bridges in Mathematics Grade 4 Student Book Answer Key Unit 4 Module 4 will help students analyze their level of preparation.

Bridges in Mathematics Grade 4 Student Book Answer Key Unit 4 Module 4

Bridges in Mathematics Grade 4 Student Book Unit 4 Module 4 Session 1 Answer Key

Hand Spans

Your handspan is the distance between the end of your thumb and the end of your little finger when you hold your hand outstretched, like the picture here shows.

Question 1.
Measure the span of your right hand to the nearest half-inch and record it here: ______.

Answer:
19.5 cm,

Explanation:
Given that hand span is the distance between end of your thumb and end of your little finger so, generally distance of hand span may vary for every one therefore distance of span to nearest half inch is 19.5 cm.

Question 2.
On the grid below, design a table that you can use to record your own hand span and the hand spans of at least 4 other students.
Answer:
Hand span of 4 students are student 1 – 4cm ,student 2 – 12cm ,student 3 – 10 cm , student 4 – 8cm and own hand span 20 cm respectively,

Explanation:
Given from the question recoded the measure of hand spans of 4 students .

Question 3.
Fill in the table.

Answer:

Explanation:
Given from above student hand span lengths designed the grid table by recording the given measurements.

Question 4.
Hundreds of years ago, people used the span of a hand as a unit of measure. What problem do you see with this kind of measurement?
Answer:
Yes we have a problem by using this measurement,

Explanation:
Given from above question Hand span is not used as standard units of length because their sizes vary from person to person. so, two different persons may give different measurements for same length ,which is not desirable for a standard unit.

Arm Spans

Your arm span is the distance from fingertip to fingertip when you stand with both arms outstretched, like the person in the picture.

Question 1.
In your small group, discuss how to measure each other’s arm spans. Talk about the 3 questions below.
a. What tools will you need?
Answer:
The tools used to measure each other’s  arm spans are Ruler, Tape ,

Explanation:
Given from above the most common and easily used method of measuring arm span is a tape as, using a tape measure from the individual’s sternal notch to their middle finger as it is stretched out to one side ,then double the demi-span for the actual arm span measurement.

b. How might you arrange the tools to make it as easy as possible to make accurate measurements?
Answer:
Yes the tools make accurate measurements ,

Explanation:
Given from question that ,the  measurement of length can be done accurately with the help of various measuring tools such as ruler, meter rod, measuring tape , screw guage and these make it  easy as  possible to make accurate measurements.

c. How can you and the people in your group double-check your measurements for accuracy?
Answer:
By cross checking each other with the tools used,

Explanation:
Given that by cross checking each other with the tools used  such as tape , ruler , meter rod and checking the measurements of hand span once again and recorded the readings .

Question 2.
Once you have agreed on a system for measuring, design a table on the grid below that you can use to record your own arm span and the arm spans of 3 other students.
Answer:
As measuring the hand spans of other students student 1 – 10  cm ,student 2- 8 cm , student 3- 7 cm and own hand span of student 4 is 11cm,

Explanation:

so, therefore recorded the readings and designed a grid table  as taking x-axis as length of  hand span’s and y-axis as no of students with 1 cm is 1 unit .

Question 3.
Work together to measure the arm spans of everyone in your small group and write them on the table.
Answer:

Explanation:
Given from a question measured the spans of students in a group and written on the table.

Question 4.
Collect data from other small groups to add to your table if you have time.

Answer:

Explanation:
Given from collected the measurements of another small group and designed the table .

Butterfly Wingspans

Use the table to answer the questions below.

Question 1.
What do you notice about the data in the table? Write at least two observations.
Answer:
Blue Morpho Butterfly – 6 inches , Queen Alexandra’s Birdwing Butterfly – 11 inches,

Explanation:
Given from above table we noticed the length of Butterfly wing spans and written the 2 observations of Blue Morpho Butterfly and Queen Alexandra’s Birdwing Butterfly.

Question 2.
What is the shortest (minimum) wingspan? _____
Answer:
American Copper Butterfly – 1(1/4) inches,

Explanation:
Given from above table observed the shortest wingspan is American Copper Butterfly which is 1(1/4) inches.

Question 3.
What is the longest (maximum) wingspan? ______
Answer:
Queen Alexandra’s Birdwing Butterfly – 11 inches,

Explanation:
Given from above observed that the longest wingspan of butterfly is Queen Alexandra’s Birdwing Butterfly – 11 inches.

Question 4.
What is the difference between the shortest and longest wingspans? (range) Show your work.
Answer:
The difference between the shortest and longest wingspans is 10.75 inches,

Explanation:
Given from above we noticed the wing span of shortest and longest Butterfly so the difference is 11 – 1(1/4) =11 – 1(0.25) = 11 – 0.25 = 10.75 inches.

Question 5.
If there were 5 zebra swallowtail butterflies lined up side-by-side on a branch with their wings spread out, how much space would they take up? Show your thinking using numbers, labeled sketches, or words.
Answer:
12.5 inches of would take 5 Zebra swallowtail butterflies ,

Explanation:
Given from the above table the Zebra swallowtail  butterflies wing span  is 2.5 inches so, if 5 Zebra swallowtail butterflies are lined up side – by – side with their wings spread out  then the space took by them is, 5 X (2.5)=12.5 inches respectively.

Bridges in Mathematics Grade 4 Student Book Unit 4 Module 4 Session 2 Answer Key

Arm Spans Line Plot

Question 1.
Draw a line plot showing the arm span measurements for the class.
______________
______________________
________________
Answer:

Explanation:
Given from question completed drawing a line plot and shown the measurements of Arm span length.

Question 2.
What observations can you make about the data?
Answer:

Explanation:
Completed the student’s Arm span lengths and recorded the observations in table.

Question 3.
Based on your observations, how would you describe the typical arm span for a student in your class?

Answer:
Student Amar has 10 cm length of arm span ,

Explanation:
Given from above the typical arm span has for Amar which has 10 cm more than his total height.

Median, Mode & Range

Use the line plot to answer the questions below. Remember to label your answers with the unit.

Question 1.
What is the minimum wingspan?
Answer:
Minimum Wingspan is 12 inches,

Explanation:
Given from above line plot of wings spans of North American Owl species the minimum wingspan is 12 inches respectively.

Question 2.
What is the maximum wingspan?
Answer:
Maximum wingspan is 52 inches,

Explanation:
Given from above line plot of wings spans of North American Owl species the maximum wingspan is 52 inches respectively.

Question 3.
What is the range of the wingspans of these owls? Please show your work.
Answer:
Range of the wingspan is  40 inches,

Explanation:
Given from above line plot we know that maximum wingspan  is 52 inches and minimum and minimum wingspan is 12 inches so, therefore Range of the wingspan is (maximum wingspan) – (minimum wingspan) = 52 – 12 = 40 inches respectively.

Question 4.
What is the median wingspan for these owls?
Answer:
Median of wingspan for these owls is 36 inches,

Explanation:

Question 5.
What is the mode for this set of data?
Answer:
Mode in the set of data is 42inches and 52inches,

Explanation:
Given from above line plot mode is that the value which is occurs the most so, 42 inches and 52 inches occurs 2 times each so mode is 42 inches and 52 inches respectively.

Question 6.
Circle the length you think best describes the wingspan of a typical owl in North America and explain your choice.
17 inches 36 inches 42 inches 52 inches
Answer:
42 inches wingspan of a typical owl in north America,

Explanation:
Given from above I think 42 inches wingspan of a typical owl in North America because it form long – term pair bonds while most owls have yellow to red – orange colored eyes , northern spotted owls are one of the few owls with darkish to black – colored eyes.

Bridges in Mathematics Grade 4 Student Book Unit 4 Module 4 Session 3 Answer Key

Marble Roll

Carter and Pedro made an obstacle course for a marble roll. They dropped a marble into the course 10 times and recorded how long the marble took to go through each time.

Question 1.
The line plot below shows how long it took the marble to go through the obstacle course each time.

a. What is the minimum time?
Answer:
Minimum time is 15 seconds,

Explanation:
Given from above marble roll the minimum time the marble go through obstacle is 15 seconds respectively.

b. What is the maximum time?
Answer:
Maximum time is 50 seconds,

Explanation:
Given from above marble roll the minimum time the marble go through obstacle is 50 seconds respectively.

c. What is the range?
Answer:
Range is 35 seconds,

Explanation:
Given from above marble roll the the range is (maximum time) – (minimum time) = 50 – 15 = 35 seconds .

d. What is the median?
Answer:
Median of data is 35 seconds,

Explanation:
Given from above the time in seconds which marble go through obstacle course each time is 15 , 20 , 20 , 30 , 35 , 35 , 35 , 40 , 50 , 50  so, from observations  5th and 6th time is 35 seconds and 35 seconds which is (35+35)/2 = 70/2=35 seconds respectively.

e. What does the median tell you about this set of data?
Answer:
Its the median,

Explanation:
Given from question median tells that the time took the marble to go through the obstacle course time is of 35 seconds which shows as median of data.

f. What is the mode?
Answer:
Mode of data is 35 seconds,

Explanation:
Given from above marble roll the time which occurs most is 35 seconds respectively.

g. What does the mode tell you about this set of data?
Answer:
Mode tells that it has different speeds,

Explanation:
Given from above mode tells this set of data has different speeds for which the marble roll go through obstacle course each time.