Year 4 Mathematics

advertisement
Year 7 Mathematics
How Fit are You Task
Task Outline:
Do you know how fit you are? Can you determine the level of your overall fitness? How does your fitness compare to the
rest of the class?
Over the next five weeks, you will participate in a series of physical activities. Before beginning the activity you will need
to take your resting heart rate. After completing the activity, you will calculate your recovery time after 2 minutes, 5
minutes, 10 minutes.
Use the data you collect to produce a report about your overall fitness. The report should include tables, graphs and
written statements to explain the data and make conclusions about your fitness.
Equipment Required:
Equipment as required such as skipping ropes, markers for laps...
Materials to record your scores.
Procedure:
1. Begin by assessing your fitness level with a beep test.
2. Record your heart rate before starting, record your score for the test and then calculate your recovery time on
completion of the test after 2 minutes, 5 minutes, and 10 minutes.
3. Record your scores in a table and create graphs that show the frequency distribution for:
a. resting heart rates,
b. the class scores of the beep test, and
c. recovery times.
(This test will be repeated at the end of five weeks and you will need to update your graphs to include this
second set of data. You will then need to compare the two sets of results.)
4. Collaboratively plan a series of five activities, organize groups to complete one of the activities each day.
5. As a daily activity begins, you should calculate your heart rate and record this. Calculate and record your
recovery time after the activity (keep this information and use it to create graphs for your report).
6. A final beep test is completed by the whole class at the conclusion of the five week period and the scores and
recovery times are used to update your initial graphs.
7. At the end of the five weeks, you will need to produce a written report containing tables and appropriate
graphs with statements about your fitness. You should use as much mathematical language as possible to
justify your statements and conclusions.
Your written report of personal fitness should include:
 An initial assessment of personal fitness with data describing resting heart rate and recovery time.
 A description of the activities to be completed each day/week.
 A collaboratively produced graph showing the range of scores of resting heart rates. The graph should illustrate the
scores obtained at the beginning of the task as well as the scores obtained after the 5 weeks of activity. The mean,
median and mode for each set of results should be shown on the graph.
 A collaboratively produced graph showing the range of scores on a beep test. The graph should illustrate the scores
obtained at the beginning of the task as well as the scores obtained after the 5 weeks of activity. The mean, median
and mode for each set of results should be shown on the graph.
 A graph showing the range of your recovery times after each beep test. The mean, median and mode should be shown
on the graph.
 Tables showing your heart rate before and after the activity and recovery times required.
 A graph showing heart rates and recovery times for each activity.
 A written report analysing data from the weekly tables and graphs to make generalizations about
o
changes to your personal fitness, and
o
how your personal fitness compares to the class.
 A concluding statement that includes a reflection on using mathematical data, tables and graphs to record personal
fitness levels and how effective this has been in raising personal awareness of fitness.
Year 7 Mathematics – How Fit am I? Task
Assessable Elements
Calculate mean median and
Knowledge and
mode and create a frequency
Understanding
Communicating
Reflecting
B
C
Consistently and accurately completes
calculations of mean, median and mode
and accurately creates a frequency
distribution chart from class data.
Calculations of mean, median and mode
are mostly correct and frequency
distribution chart is completed to a
satisfactory standard.
Draw tables and graphs to
represent data in order to
make comparisons
Creates detailed tables and graphs to
represent and compare heart rates and
recovery time
Creates a basic table showing
comparative scores for heart rate and
recovery time.
Select and use suitable mental
and written computations,
estimations, representations
and technologies to generate
solutions and to check for
reasonableness
Confidently and accurately selects and
applies computation methods to calculate
mean, median and mode and checks for
reasonableness of solutions.
Selects and applies appropriate
computation methods to calculate
mean, median and mode. Makes a basic
attempt to check solutions.
Evaluate thinking and
reasoning to determine
whether mathematical ideas,
strategies and procedures
have been applied effectively
Comprehensively explains the most
effective measure of location (mean,
median or mode) to use in order to make
comparisons and draw conclusions from
the data.
Provides a sound explanation to
compare the data using one of the
measures of location (mean, median or
mode).
Communicate thinking and
justify reasoning and
generalizations, using
mathematical language,
representations and
technologies
Comprehensively applies mathematical
reasoning to explain overall personal
fitness level. “My overall personal fitness is
Provides a sound explanation using
some mathematical language and
representations. “My score was higher
above average. This is because my scores
compared to the class mean….”(Explanation
draws on several mathematical features to
make generalizations)
than the class mean so I am fairly fit.”
Reflect on and identify the
contribution of mathematics
to their life
Comprehensively relates awareness of
overall personal fitness to mathematical
calculations and comparative data i.e. “At
Makes a sound statement to reflect on
the link between mathematics and
overall personal fitness i.e.”Doing all the
first I thought I was fairly fit, but as I began
collecting data and comparing my scores to
the class using mathematics, I began to realise
that I was actually in the lower range and that
made me really work harder to try and
improve my fitness.”
maths was good, because it really showed
how fit I was.”
distribution diagram
Thinking and
Reasoning
Descriptors
A
D
E
Download