Eighth Grade
Draw, Explain, and Justify
Conclusions Based on Data
- D.AN.08.01 Determine which measure of central
tendency (mean, median, mode) best represents
a data set, e.g., salaries, home prices, for answering
certain questions; justify the choice made.
- A
Functional Housing Market
Students will access the Internet to search for
housing prices in their town and compare the prices
to the number of square feet found in the living
area of the house. A linear equation will be derived
from the data on a coordinate plane. Any "best-fit"
method for determining the graph of the line can
be used. This contains a teacher lesson plan and
is a student activity. This is designed for an
Algebra One course.
- Adventures
in Statistics
Students need to collect information about the
classroom in their building (example: length,
width, height and number of students in the different
classrooms). After collecting all the data the
students then need to construct graphs representing
this data. This contains a teacher lesson plan
and is a student activity.
- Houston
Area Real-Time Traffic Report
Students will calculate the time needed to travel
a certain distance given the rate of speed. They
will be collecting "real-time traffic maps of
the Houston area. Upon collecting their information
they will construct graphs. This contains a teacher
lesson plan and is a student activity.
- Indy
500
Students will find the mean and median speed for
the Indianapolis 500. Rates per lap will be calculated
as well as the length of each lap. Students will
need to research information via the Internet.
This would work best for students in grades 7-9.
- Line
Graphs
This activity is part of Project SkyMath: Module
Section 4, Activity 11. In this activity students
interpret collected data represented on graphs.
This student activity requires students to represent
and analyze changes in temperatue over time.
- Math
Files - Train Race
This is an interactive game where students need
to calculate the mean, median, mode, and range
of a set of numbers and then use this information
to determine which train Pythagoras or Hypatia
should board to reach the station on time. An
on-screen calculator is provided for students
to calculate means.
- Name
that Medium
Information is given in a chart on cassette and
CD sales the past decade. The students are
to make a double line graph, predictions, figure
costs by year and draw conclusions based on other
factors or questions being presented.
- New
Kids in The Hall: Analyzing Baseball Hall of Fame
Statistics in the Math Classroom
In this activity, students see how statistics
are used to determine which athletes are chosen
to be inducted into the Baseball Hall of Fame.
Students work in small groups to calculate, chart,
and graph various statistics for different Hall
of Fame members. After reading an article about
new inductees to the Hall of Fame students collect
data on the statistics used to recommend atheletes
for the Hall of Fame and predict which athletes
would be good choices to be inducted in the future.
- Stem
and Leaf Plots
Stem and leaf plots explained.
- Stem
and Leaf Plots Interactive
Stem and Leaf Plots Interactive site.
- Stem
and Leaf Plots
Stem and Leaf Plots.
- Surfing
Amusement Parks
Students have a choice of going to any one of
five amusement parks in California. They have
to choose one with an entrance fee that is the
median price range. Surf the Internet to find
how much it will cost for your family to go to
each park and then graph your findings. This contains
a teacher lesson plan and is a student activity.
- Virtual
Manipulative Box Plot
Box and Whiskers Plot-interactive.
- What
Percentage of Your Class is Right or Left Handed?
Students will write letters down for 20 seconds
with their right hand and then do the same for
their left. And record the results in a graph
form. This is a student activity.
- D.AN.08.02 Recognize practices of collecting
and displaying data that may bias the presentation
or analysis.
- A
Functional Housing Market
Students will access the Internet to search for
housing prices in their town and compare the prices
to the number of square feet found in the living
area of the house. A linear equation will be derived
from the data on a coordinate plane. Any "best-fit"
method for determining the graph of the line can
be used. This contains a teacher lesson plan and
is a student activity. This is designed for an Algebra
One course.
- Adventures
in Statistics
Students need to collect information about the classroom
in their building (example: length, width, height
and number of students in the different classrooms).
After collecting all the data the students then
need to construct graphs representing this data.
This contains a teacher lesson plan and is a student
activity.
- Houston
Area Real-Time Traffic Report
Students will calculate the time needed to travel
a certain distance given the rate of speed. They
will be collecting "real-time traffic maps of the
Houston area. Upon collecting their information
they will construct graphs. This contains a teacher
lesson plan and is a student activity.
- New
Kids in The Hall: Analyzing Baseball Hall of Fame
Statistics in the Math Classroom
In this activity, students see how statistics are
used to determine which athletes are chosen to be
inducted into the Baseball Hall of Fame. Students
work in small groups to calculate, chart, and graph
various statistics for different Hall of Fame members.
After reading an article about new inductees to
the Hall of Fame students collect data on the statistics
used to recommend atheletes for the Hall of Fame
and predict which athletes would be good choices
to be inducted in the future.
- Surfing
Amusement Parks
Students have a choice of going to any one of five
amusement parks in California. They have to choose
one with an entrance fee that is the median price
range. Surf the Internet to find how much it will
cost for your family to go to each park and then
graph your findings. This contains a teacher lesson
plan and is a student activity.
- What
Percentage of Your Class is Right or Left Handed?
Students will write letters down for 20 seconds
with their right hand and then do the same for their
left. And record the results in a graph form. This
is a student activity.
Understand Probability Concepts
for Simple and Compound Events
- D.PR.08.03 Compute relative frequencies
from a table of experimental results for a
repeated event. Interpret the results using relationship
of probability to relative frequency.*
- Area
Probability (Throw Darts!)
Students manipulate the size of a circle and a
rectangle to explore the probability that a dart
thrown into a rectangle will land in the circle.
- The
Birthday Problem: A short lesson in probability
This activity surveys the possibility of birthdays
occurring on the same day in as small a group
as 28 students. It also extends the problem to
using a computer to simulate this problem to see
what the probability generated by a random list
of birthdays would be.
- The
Cereal Box Problem - A Lesson in Expected Value
This activity addresses the NCTM Standard for
Probability for grades 5-8 through it's use of
modeling situations and asking students to make
predictions. It includes online simulation of
the problem in addition to a hands-on activity
using dice and a pencil and paper. Also includes
teacher notes, references and related questions.
- Figure
This! Math Challenges for Families
Figure This! Mathematics Challenges for Families
provides interesting math challenges that middle-school
students can do at home with their families.
Each challenge features a description of the
important
math involved, a note on where the math is used
in the real world, a hint to get started, complete
solutions, a "Try This" section, additional related
problems with answers, questions to think about,
fun facts related to math, and resources for
further
exploration. Math Challenge #26 is an example
of a problem that would help teach this particular
benchmark.
- Simulating
Probability Situations
Students can use interactive box models to explore
probability. Open-ended questions are included.
Bar graphs of the experiments are automatically
generated.
- D.PR.08.04 Apply the Basic Counting Principle
to find total number of outcomes possible for independent
and dependent events, and calculate the probabilities
using organized lists or tree diagrams.
- Discrete
Math Project
This site is an excellent resource for teacher
lesson plans for discrete math.
- How
Many Valentines
A story problem is given which allows the student
to solve and then see the correct answer and why
it is correct. There is a space given to make
corrections and write what he/she did correctly
or incorrectly.
- Independent
and Dependent Events
After a brief explanation and example of independent
and dependent events, the student conducts experiments,
tally results, and determine probability to find
the number of yellow chips in a bag.
- Replacement
and Probability
This site is a teacher lesson plan which goes
through a step by step description of the differences
between dependent and independent events. It allows
the teacher to use hands-on activities to show
students the difference. It then has follow up
questions for the students.
- Simulating
Probability Situations
Students can use interactive box models to explore
probability. Open-ended questions are included.
Bar graphs of the experiments are automatically
generated.
- The
Most Colorful Map of All
This lesson allows you
to connect reading and mathematics in a fun and
interesting way. Map coloring is used as a way
of stimulating student's to think logically and
to use strategies to solve problems which are
both interesting and pertinent. Excellent resources
are included for the teacher to use, copy, and
share.
- Webmath
- See How Many Combinations You Can Make
This site allows students to input names of things
or objects and see how many possible combinations
can be made. A detailed explanation is provided
for how to find the solution.
- Welcome
to the Hotel Infinity
This lesson allows you to connect reading and
mathematics in a fun and interesting way. The
Hotel Infinity story is shared with students (copies
can be made for their use) to raise questions
about the logic and mathematics found in the text.
Teacher resources are include vocabulary, background
information, and questions to expand student thinking
about the story.
- D.PR.08.05 Find and/or compare the theoretical
probability, the experimental probability, and/or
the relative frequency of a given event.*
- Difference in Frequency
We seldom use the raw counts of something when
we compare frequencies.
- Probability and Relative
Frequency
Suppose there are six faces on a
dice. When we roll the dice and the number on the
top
of the dice is 1, we define this as a successful
event.
- Relative
Frequency Histogram.
A relative frequency histogram compares each
class interval to the total number of items.
For example, the first interval
($1–$5) contains 8 out of the total of 32
items, so the relative frequency of the first class
interval is 8/32
- D.PR.08.06 Understand the difference between
independent and dependent events, and recognize common
misconceptions involving probability, e.g., Alice
rolls a 6 on a die three times in a row; she is just
as likely to roll a 6 on the fourth roll as she was
on any previous roll.
- Independent
and Dependent Events
After a brief explanation and example of independent
and dependent events, the student conducts experiments,
tally results, and determine probability to find
the number of yellow chips in a bag.
- Replacement
and Probability
This site is a teacher lesson plan which goes
through a step by step description of the differences
between dependent and independent events. It allows
the teacher to use hands-on activities to show
students the difference. It then has follow up
questions for the students.
- Simulating
Probability Situations
Students can use interactive box models to explore
probability. Open-ended questions are included.
Bar graphs of the experiments are automatically
generated.
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