|
Middle
School Internet Sites (6-8)
Seventh Grade
1.
Number &
Operations (N)
2.
Algebra (A)
3.
Geometry (G)
4. Data and
Probability (D)
Strand 2. Algebra
(A)
- Understand and
Apply Directly
Proportional
Relationships;
Relate to Linear
Relationships
- Understand and
Represent Linear
Functions
- Understand and
Solve Problems About
Inverse Proportional
Relationships
- Apply Basic
Properties of Real
Numbers in Algebraic
Contexts
- Combine
Algebraic
Expressions and
Solve Equations
2. Algebra (A)
Seventh Grade
Understand and
Apply Directly Proportional
Relationships and Relate to
Linear Relationships
- A.PA.07.01
Recognize when information
given in a table, graph, or
formula suggests a directly
proportional or linear
relationship.*
-
Determining Ratios
This is an interactive
site where students can
reduce the given ration
into lowest form. The
student receives
immediate feedback to
their answer. If the
solution is correct you
move on to a different
problem. If the
solution is incorrect
the students are told
why there answer is
wrong.
-
Discovering Growth
Patterns
A web activity comparing
linear and exponential
growth.
-
Dot Patterns and
Sierpinski Gasket
This site allows you to
generate the Sierpanski
Triangle. You can
enlarge the triangle one
row at a time allowing
you to see the changes
at each stage of the
triangle.
-
Doubling Pennies
This site poses a
question relating to the
doubling of pennies as
opposed to receiving a
set amount of money. It
then goes through the
solution using charts
and a formula. This site
also contains links to
similar problems. This
is a student activity.
-
Lesson Plans: How Big is
That Star?
- This site gives a
complete lesson plan for
using ratios to
determine the size of a
star based on
observation.
-
One False Move
This is a game where
students find their way
out of a haunted house
by decimals in order
(either from least to
most or most to least).
This includes positive
and negative integers
with one decimal place
and varying levels of
difficulty.
-
Paper Pool Games-Number
and Operations-Number
Sense and Numeration
This site allows the
student to interact
directly with the
activity. It encourages
students to challenge
themselves to go beyond
just looking at a simple
pattern. It requires the
students to look for
ratios that are created
from the multiples and
factors of the numbers.
Students will be working
on beginning skills on
gathering data and
looking for patterns.
-
Pattern Blocks
This site allows the
students to create their
own patterns by
manipulating the pattern
block shapes onto the
graph. It also gives a
definition of each shape
if the student needs the
reference. Teachers can
choose what type of
pattern they want
students to create. Also
a possibility of using
it for fractions.
-
Play Pool on Different
Sized Pool Tables
In this interactive
activity students will
predict which pocket the
pool ball will go into
as well as the number of
hits needed to sink the
ball. By changing
variables they will see
patterns and
generalizations to aide
them in their
predictions. Data will
be represented by a
model as well as a
spreadsheet and a graph.
-
Population Ratios
This site is an
interdisciplinary
project (mathematics,
social studies) where
students choose a county
in the United States and
using ratios convert the
statistics into
meaningful numbers.
Students access web
sites and record various
population statistics
pertaining to a county
in the USA of their
choice. Students then
use this data to set up
and solve ratios.
Students compare data to
make meaning of the
numbers.
-
Proportion Basics
- This is an
interactive lesson on
proportion which
includes a good
explanation along with
examples. Practice
problems which can be
done interactively with
step by step help
available if necessary.
-
Ratios
This is an interactive
math site where students
solve for ratios. The
students are given a
ratio and one part
(either the numerator or
denominator) of another
ratio. The students
then have to solve for
the missing expression.
They are given immediate
feedback to their
answers.
-
Rectangle Pattern
Challenges
This site explores
patterns in rectangles
and then has students
organizing the data they
find into a table. Also
has discussion questions
at the end. Use as whole
class instruction or
print off for inividual
use.
-
Waldo's Interactive Math
- This interactive
site allows students to
manipulate triangles on
a coordinate graph in
order to explore their
relationship. The site
relies on Java applets.
- A.RP.07.02
Represent directly
proportional and linear
relationships using verbal
descriptions, tables,
graphs, and formulas, and
translate among these
representations.
-
Bouncing Tennis Balls
This is a lesson plan
that has the students
graph information found
by bouncing a tennis
ball. They will use
this information to
determine the dependant
and independent
variables.
-
Determining Ratios
This is an interactive
site where students can
reduce the given ration
into lowest form. The
student receives
immediate feedback to
their answer. If the
solution is correct you
move on to a different
problem. If the
solution is incorrect
the students are told
why there answer is
wrong.
-
Discovering Growth
Patterns
A web activity comparing
linear and exponential
growth.
-
Dot Patterns and
Sierpinski Gasket
This site allows you to
generate the Sierpanski
Triangle. You can
enlarge the triangle one
row at a time allowing
you to see the changes
at each stage of the
triangle.
-
Doubling Pennies
This site poses a
question relating to the
doubling of pennies as
opposed to receiving a
set amount of money. It
then goes through the
solution using charts
and a formula. This site
also contains links to
similar problems. This
is a student activity.
-
Lesson Plans: How Big is
That Star?
- This site gives a
complete lesson plan for
using ratios to
determine the size of a
star based on
observation.
-
-
One False Move
This is a game where
students find their way
out of a haunted house
by decimals in order
(either from least to
most or most to least).
This includes positive
and negative integers
with one decimal place
and varying levels of
difficulty.
-
Online Graphing
Outstanding
- Will graph functions
like a graphing
calculator would do,
only easier. Great for
those without access to
graphing calculators.
-
Paper Pool Games-Number
and Operations-Number
Sense and Numeration
This site allows the
student to interact
directly with the
activity. It encourages
students to challenge
themselves to go beyond
just looking at a simple
pattern. It requires the
students to look for
ratios that are created
from the multiples and
factors of the numbers.
Students will be working
on beginning skills on
gathering data and
looking for patterns.
-
Pattern Blocks
This site allows the
students to create their
own patterns by
manipulating the pattern
block shapes onto the
graph. It also gives a
definition of each shape
if the student needs the
reference. Teachers can
choose what type of
pattern they want
students to create. Also
a possibility of using
it for fractions.
-
Play Pool on Different
Sized Pool Tables
In this interactive
activity students will
predict which pocket the
pool ball will go into
as well as the number of
hits needed to sink the
ball. By changing
variables they will see
patterns and
generalizations to aide
them in their
predictions. Data will
be represented by a
model as well as a
spreadsheet and a graph.
-
Population Ratios
This site is an
interdisciplinary
project (mathematics,
social studies) where
students choose a county
in the United States and
using ratios convert the
statistics into
meaningful numbers.
Students access web
sites and record various
population statistics
pertaining to a county
in the USA of their
choice. Students then
use this data to set up
and solve ratios.
Students compare data to
make meaning of the
numbers.
-
Proportion Basics
- This is an
interactive lesson on
proportion which
includes a good
explanation along with
examples. Practice
problems which can be
done interactively with
step by step help
available if necessary.
-
Principles and Standards
for School Mathematics:
Learning about rate of
change…
Students interact with 2
line graphs, one with a
constant variable, the
other with 2 changing
variables. They answer
questions to learn about
change and linear
graphs.
-
Ratios
This is an interactive
math site where students
solve for ratios. The
students are given a
ratio and one part
(either the numerator or
denominator) of another
ratio. The students
then have to solve for
the missing expression.
They are given immediate
feedback to their
answers.
-
Rectangle Pattern
Challenges
This site explores
patterns in rectangles
and then has students
organizing the data they
find into a table. Also
has discussion questions
at the end. Use as whole
class instruction or
print off for inividual
use.
-
Sports and Math: Will
Women Ever Surpass Their
Male Counterparts?
Students interpret
numerical and graphical
data about athletic
performance, derive
equations, and make
statistical predictions.
-
The Hand Shake
A data collection and
analysis class
experiment. Use a table
to show the number of
handshakes when every
person in the room
shakes hands with
everyone else.
-
The Rich Get Rich
Students complete a
chart which explains
whether it would be
better to take
$1,000,000 or take $0.01
the first day and have
it doubled every day
after that. There is a
story that the students
follow to get to the
answer.
-
Waldo's Interactive Math
- This interactive
site allows students to
manipulate triangles on
a coordinate graph in
order to explore their
relationship. The site
relies on Java applets.
- A.PA.07.03 Given
a directly proportional or
other linear situation,
graph and interpret the
slope and intercept(s) in
terms of the original
situation; evaluate y = mx +
b for specific x values,
e.g., weight vs. volume of
water, base cost plus cost
per unit.*
-
Bouncing Tennis Balls
This is a lesson plan
that has the students
graph information found
by bouncing a tennis
ball. They will use
this information to
determine the dependant
and independent
variables.
-
Determining Ratios
This is an interactive
site where students can
reduce the given ration
into lowest form. The
student receives
immediate feedback to
their answer. If the
solution is correct you
move on to a different
problem. If the
solution is incorrect
the students are told
why there answer is
wrong.
-
Lesson Plans: How Big is
That Star?
- This site gives a
complete lesson plan for
using ratios to
determine the size of a
star based on
observation.
-
One False Move
This is a game where
students find their way
out of a haunted house
by decimals in order
(either from least to
most or most to least).
This includes positive
and negative integers
with one decimal place
and varying levels of
difficulty.
-
Paper Pool Games-Number
and Operations-Number
Sense and Numeration
This site allows the
student to interact
directly with the
activity. It encourages
students to challenge
themselves to go beyond
just looking at a simple
pattern. It requires the
students to look for
ratios that are created
from the multiples and
factors of the numbers.
Students will be working
on beginning skills on
gathering data and
looking for patterns.
-
Pathfinder: Measuring
Wind Speed
Students create their
own anemometer, an
instrument used to
measure wind speed.
Students can plot and
then analyze real world
wind speed data
collected by Pathfinder
during one of its recent
missions. This is a
teacher resource.
-
Population Ratios
This site is an
interdisciplinary
project (mathematics,
social studies) where
students choose a county
in the United States and
using ratios convert the
statistics into
meaningful numbers.
Students access web
sites and record various
population statistics
pertaining to a county
in the USA of their
choice. Students then
use this data to set up
and solve ratios.
Students compare data to
make meaning of the
numbers.
-
Principles and Standards
for School Mathematics:
Learning about rate of
change…
Students interact with 2
line graphs, one with a
constant variable, the
other with 2 changing
variables. They answer
questions to learn about
change and linear
graphs.
-
Proportion Basics
- This is an
interactive lesson on
proportion which
includes a good
explanation along with
examples. Practice
problems which can be
done interactively with
step by step help
available if necessary.
-
Ratios
This is an interactive
math site where students
solve for ratios. The
students are given a
ratio and one part
(either the numerator or
denominator) of another
ratio. The students
then have to solve for
the missing expression.
They are given immediate
feedback to their
answers.
-
Sports and Math: Will
Women Ever Surpass Their
Male Counterparts?
Students interpret
numerical and graphical
data about athletic
performance, derive
equations, and make
statistical predictions.
- A.PA.07.04 For
directly proportional or
linear situations, solve
applied problems using
graphs and equations, e.g.,
the heights and volume of a
container with uniform
cross-section; height of
water in a tank being filled
at a constant rate; degrees
Celsius and degrees
Fahrenheit; distance and
time under constant speed.
-
Ask Dr. Math
This site gives students
a number of algebraic
word problems to work.
Ask Dr. Math is a great
site for students to
receive feedback to
enhance their
understanding of the
problems.
-
Escape from Knab
This site is a wonderful
interactive
game/simulation that
allows the student to
learn basic finance.
Students land on the
planet Knab and have to
earn their ticket back
to Earth. Students
learn financial
vocabulary, such as
budget, capital gains,
income tax, using a
highly accessible
glossary. Students will
choose a job, calculate
income, calculate tax
withholdings, estimate
long and short term
expenses. Students have
to analyze real life
financial situations and
make decisions based on
their findings. This
game could be played as
teams or individuals.
There is a spot for
teachers to find lesson
plans, tips and
curriculum alignment
information.
-
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
relational related
problems with answers,
questions to thinks
about, fun facts related
to the math, and
resources for further
exploration. Math
Challenges #3 and 4 are
examples of problems
that would help teach
this particular
objective.
-
Illunimations Fraction -
Percent, Decimal Model
- This tool explores
several representations
for fractions using
adjustable numerators
and denominators. You
can see decimal and
percent equivalents, as
well as a model that
represents the fraction.
-
Lemonade Stand
Students run a virtual
lemonade stand. The goal
of the student is to
make as much money as
they can in 30 days.
Students have control
over every part of the
business, including
pricing, quality
control, inventory
control, and purchasing
supplies. The game also
mentions outside factors
such as weather and how
that would affect
business.
-
Math.Com (Geometry)
An informational site
for teachers and
students. There is some
interaction for students
in the lessons.
Students can participate
in quizes at the end of
each section. This is
the general site for
geometry. You will need
to choose the area of
interest. Great site
for middle school
geometry.
-
Math for Morons Like Us
- Algebra - Word
Problems
This site provides
explanations, examples,
and vocabulary
definitions that can be
used in solving word
problems using algebraic
equations. As follow-up
the student can take a
short quiz that includes
an explanation of what
problems were missed and
what was done wrong.
This site contains
general information and
is a student activity.
-
Primo Math - Cycle 001
This site contains
eleven review problems
to solve. The problems
vary in difficulty.
-
Problem Solving
- Interactive game.
Great fun with problem
solving skills required.
Also, pattern and grid
coordinates are tested
to escape from the
Dungeon.
-
Shape Explorer
- Students can
interact with area and
perimeter on various
shapes. Students will
enjoy interacting with
various shapes and
observing how perimeter
and area are both
calculated and relate.
-
-
Soda Constructor
This is a very
interactive site in
which the students will
have the opportunity to
actually construct
shapes. The teacher must
give directions of what
shape the students are
to construct and the
teacher can also request
the shape to be
something that
represents something in
our physical world.
-
Solving Functions
An interactive site to
develop strategies to
solve functions.
-
Solving Word Problems
- Interactive word
problem site. Helps with
students translation of
word problems into a
numeric equation.
Students get instant
feedback with the
excercises on this site.
-
Webmath
This site allows the
students to see how math
is used in everyday
life. The student has
access to calculators
that figure out
restaurant tips, sale
prices, windchill,
electric bills, simple
interest, compound
interest, retirement,
loans and stocks. The
student is active in
figuring these things
out.
-
Word Problems for Kids
- Has numerous story
problems that students
read and answer the
questions. If they need
help they can click on
the hint link and
receive hints to solving
the problems.
-
Using Algebra and
Discrete Mathematics to
Investigate Population
Changes in a Trout Pond
This investigation
illustrates the use of
iteration, recursion and
algebra to model and
analyze a changing fish
population. Graphs,
equations, tables, and
technological tools are
used to investigate the
effect of varying
parameters on the
long-term population.
Students will complete a
numerical analysis, a
graphical analysis, and
a symbolic analysis from
the data.
- A.PA.07.05
Recognize and use directly
proportional relationships
of the form y = mx, and
distinguish from linear
relationships of the form y
= mx + b, b non-zero;
understand that in a
directly proportional
relationship between two
quantities one quantity is a
constant multiple of the
other quantity.*
-
Determining Ratios
This is an interactive
site where students can
reduce the given ration
into lowest form. The
student receives
immediate feedback to
their answer. If the
solution is correct you
move on to a different
problem. If the
solution is incorrect
the students are told
why there answer is
wrong.
-
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
relational related
problems with answers,
questions to thinks
about, fun facts related
to the math, and
resources for further
exploration. Math
Challenges #3 and 4 are
examples of problems
that would help teach
this particular
objective.
-
Lesson Plans: How Big is
That Star?
- This site gives a
complete lesson plan for
using ratios to
determine the size of a
star based on
observation.
-
Math.Com (Geometry)
An informational site
for teachers and
students. There is some
interaction for students
in the lessons.
Students can participate
in quizes at the end of
each section. This is
the general site for
geometry. You will need
to choose the area of
interest. Great site
for middle school
geometry.
-
One False Move
This is a game where
students find their way
out of a haunted house
by decimals in order
(either from least to
most or most to least).
This includes positive
and negative integers
with one decimal place
and varying levels of
difficulty.
-
Paper Pool Games-Number
and Operations-Number
Sense and Numeration
This site allows the
student to interact
directly with the
activity. It encourages
students to challenge
themselves to go beyond
just looking at a simple
pattern. It requires the
students to look for
ratios that are created
from the multiples and
factors of the numbers.
Students will be working
on beginning skills on
gathering data and
looking for patterns.
-
Population Ratios
This site is an
interdisciplinary
project (mathematics,
social studies) where
students choose a county
in the United States and
using ratios convert the
statistics into
meaningful numbers.
Students access web
sites and record various
population statistics
pertaining to a county
in the USA of their
choice. Students then
use this data to set up
and solve ratios.
Students compare data to
make meaning of the
numbers.
-
Proportion Basics
- This is an
interactive lesson on
proportion which
includes a good
explanation along with
examples. Practice
problems which can be
done interactively with
step by step help
available if necessary.
-
Ratios
This is an interactive
math site where students
solve for ratios. The
students are given a
ratio and one part
(either the numerator or
denominator) of another
ratio. The students
then have to solve for
the missing expression.
They are given immediate
feedback to their
answers.
-
Shape Explorer
- Students can
interact with area
and perimeter on
various shapes.
Students will enjoy
interacting with
various shapes and
observing how
perimeter and area
are both calculated
and relate.
-
-
Soda Constructor
This is a very
interactive site in
which the students will
have the opportunity to
actually construct
shapes. The teacher must
give directions of what
shape the students are
to construct and the
teacher can also request
the shape to be
something that
represents something in
our physical world.
Understand and
Represent Linear Functions
- A.PA.07.06
Calculate the slope from the
graph of a linear function
as the ratio of “rise/run”
for a pair of points on the
graph, and express the
answer as a fraction and a
decimal; under- stand that
linear functions have slope
that is a constant rate of
change.
-
Determining Ratios
This is an interactive
site where students can
reduce the given ration
into lowest form. The
student receives
immediate feedback to
their answer. If the
solution is correct you
move on to a different
problem. If the
solution is incorrect
the students are told
why there answer is
wrong.
-
Lesson Plans: How Big is
That Star?
- This site gives a
complete lesson plan for
using ratios to
determine the size of a
star based on
observation.
-
One False Move
This is a game where
students find their way
out of a haunted house
by decimals in order
(either from least to
most or most to least).
This includes positive
and negative integers
with one decimal place
and varying levels of
difficulty.
-
Paper Pool Games-Number
and Operations-Number
Sense and Numeration
This site allows the
student to interact
directly with the
activity. It encourages
students to challenge
themselves to go beyond
just looking at a simple
pattern. It requires the
students to look for
ratios that are created
from the multiples and
factors of the numbers.
Students will be working
on beginning skills on
gathering data and
looking for patterns.
-
Population Ratios
This site is an
interdisciplinary
project (mathematics,
social studies) where
students choose a county
in the United States and
using ratios convert the
statistics into
meaningful numbers.
Students access web
sites and record various
population statistics
pertaining to a county
in the USA of their
choice. Students then
use this data to set up
and solve ratios.
Students compare data to
make meaning of the
numbers.
-
Proportion Basics
- This is an
interactive lesson on
proportion which
includes a good
explanation along with
examples. Practice
problems which can be
done interactively with
step by step help
available if necessary.
-
Ratios
This is an interactive
math site where students
solve for ratios. The
students are given a
ratio and one part
(either the numerator or
denominator) of another
ratio. The students
then have to solve for
the missing expression.
They are given immediate
feedback to their
answers.
- A.PA.07.07
Represent linear functions
in the form y = x + b, y =
mx, and y = mx + b, and
graph, interpreting slope
and y-intercept.
-
Ask Dr. Math
This site gives students
a number of algebraic
word problems to work.
Ask Dr. Math is a great
site for students to
receive feedback to
enhance their
understanding of the
problems.
-
Escape from Knab
This site is a wonderful
interactive
game/simulation that
allows the student to
learn basic finance.
Students land on the
planet Knab and have to
earn their ticket back
to Earth. Students
learn financial
vocabulary, such as
budget, capital gains,
income tax, using a
highly accessible
glossary. Students will
choose a job, calculate
income, calculate tax
withholdings, estimate
long and short term
expenses. Students have
to analyze real life
financial situations and
make decisions based on
their findings. This
game could be played as
teams or individuals.
There is a spot for
teachers to find lesson
plans, tips and
curriculum alignment
information.
-
Determining Ratios
This is an interactive
site where students can
reduce the given ration
into lowest form. The
student receives
immediate feedback to
their answer. If the
solution is correct you
move on to a different
problem. If the
solution is incorrect
the students are told
why there answer is
wrong.
-
Lesson Plans: How Big is
That Star?
- This site gives a
complete lesson plan for
using ratios to
determine the size of a
star based on
observation.
-
Math for Morons Like Us
- Algebra - Word
Problems
This site provides
explanations, examples,
and vocabulary
definitions that can be
used in solving word
problems using algebraic
equations. As follow-up
the student can take a
short quiz that includes
an explanation of what
problems were missed and
what was done wrong.
This site contains
general information and
is a student activity.
-
One False Move
This is a game where
students find their way
out of a haunted house
by decimals in order
(either from least to
most or most to least).
This includes positive
and negative integers
with one decimal place
and varying levels of
difficulty.
-
Paper Pool Games-Number
and Operations-Number
Sense and Numeration
This site allows the
student to interact
directly with the
activity. It encourages
students to challenge
themselves to go beyond
just looking at a simple
pattern. It requires the
students to look for
ratios that are created
from the multiples and
factors of the numbers.
Students will be working
on beginning skills on
gathering data and
looking for patterns.
-
Population Ratios
This site is an
interdisciplinary
project (mathematics,
social studies) where
students choose a county
in the United States and
using ratios convert the
statistics into
meaningful numbers.
Students access web
sites and record various
population statistics
pertaining to a county
in the USA of their
choice. Students then
use this data to set up
and solve ratios.
Students compare data to
make meaning of the
numbers.
-
Proportion Basics
- This is an
interactive lesson on
proportion which
includes a good
explanation along with
examples. Practice
problems which can be
done interactively with
step by step help
available if necessary.
-
Ratios
This is an interactive
math site where students
solve for ratios. The
students are given a
ratio and one part
(either the numerator or
denominator) of another
ratio. The students
then have to solve for
the missing expression.
They are given immediate
feedback to their
answers.
-
Solving Functions
An interactive site to
develop strategies to
solve functions.
-
Using Algebra and
Discrete Mathematics to
Investigate Population
Changes in a Trout Pond
This investigation
illustrates the use of
iteration, recursion and
algebra to model and
analyze a changing fish
population. Graphs,
equations, tables, and
technological tools are
used to investigate the
effect of varying
parameters on the
long-term population.
Students will complete a
numerical analysis, a
graphical analysis, and
a symbolic analysis from
the data.
- A.FO.07.08 Find
and interpret the x and/or y
intercepts of a linear
equation or function. Know
that the solution to a
linear equation of the form
ax+b=0 corresponds to the
point at which the graph of
y=ax+b crosses the x axis.*
-
Algebra - Fun with
Calendars
A fun mathematical
puzzle that shows
students a use for
algebra. By using a
simple linear equation
students can determine
what four days on a
calendar someone has
chosen.
-
California Here We Come!
This site allows teams
of students to choose
any state capital on the
east coast as their
starting point. They
travel west stopping at
each state capital along
the way and record miles
traveled. Each student
group will create a
chart or table showing
the number of miles
traveled from state
capital to state capital
and then total numbers
of miles driven. Lesson
plan, evaluation,
extensions, and student
activity sheets are
included. Skills used
will involve solving
linear equations and
inequalities over the
rational numbers, as
well as solving
multistep problems
involving rate, average
speed, distance and
time, or direct
variation. This includes
a teacher lesson plan
and is a student
activity.
-
Grap Mole Game
- Introduction to
Coordinate plane. Learn
about the X and Y axis
and how to plot points
on the graph. Game comes
in different levels of
difficulty. The game is
a good review, students
will have fun while
learning coordinate
plane.
-
Linear Inequalities
Manipulate and visualize
the solution sets of
linear inequalities in
slope-intercept form.
-
Slope Intercept Form
Interactive tool to
experiment with the
slope and intercept of a
line. See how the slope
of a line is calculated.
-
Using Algebra and
Discrete Mathematics to
Investigate Population
Changes in a Trout Pond
This investigation
illustrates the use of
iteration, recursion and
algebra to model and
analyze a changing fish
population. Graphs,
equations, tables, and
technological tools are
used to investigate the
effect of varying
parameters on the
long-term population.
Students will complete a
numerical analysis, a
graphical analysis, and
a symbolic analysis from
the data.
Understand and
Solve Problems About Inversely
Proportional Relationships
- A.PA.07.09
Recognize inversely
proportional relationships
in contextual situations;
know that quantities are
inversely proportional if
their product is constant,
e.g., the length and width
of a rectangle with fixed
area, and that an inversely
proportional relationship is
of the form y = k/x where k
is some non-zero number.
-
Bouncing Tennis Balls
This is a lesson plan
that has the students
graph information found
by bouncing a tennis
ball. They will use
this information to
determine the dependant
and independent
variables.
-
Function Machine
Students are able to
enter a number to
represent the variables
and then determine what
functionis taking place.
The activity explains
linear functions and
allows the students to
ask how, what, and why
for solving the problem.
-
Functions Made Easy
Students will explore
the concept of functions
as relationships, as
machines, s equations,
and as graphs. This is
a teacher resource site.
-
Graphing and the
Coordinate Plane
This lesson is designed
to introduce students to
graphing ordered pairs
of numbers on the
coordinate plane.
Students will be able to
give the rise over run
for slope.
-
Linking Length,
Perimeter, Area, and
Volume
This is a lesson plan
where students will work
with 2-dimensional
rectangles to focus on
the relationship between
the scale factor and
ratio of perimeters or
area of similar
figures. Graphs are
drawn for students to
visualize the linear and
non-linear relationships
of perimeter, area, and
scale factor .
-
Mathline: The Yo-Yo
Problem
Students explore linear
patterns, write a
pattern in symbolic
form, and solve linear
equations using algebra
tiles, symbolic
manipulation and the
graphing calculator.
- A.RP.07.10 Know
that the graph of y = k/x is
not a line, know its shape,
and know that it crosses
neither the x nor the
y-axis.
-
Bouncing Tennis Balls
This is a lesson plan
that has the students
graph information found
by bouncing a tennis
ball. They will use
this information to
determine the dependant
and independent
variables.
-
Function Machine
Students are able to
enter a number to
represent the variables
and then determine what
functionis taking place.
The activity explains
linear functions and
allows the students to
ask how, what, and why
for solving the problem.
-
Functions Made Easy
Students will explore
the concept of functions
as relationships, as
machines, s equations,
and as graphs. This is
a teacher resource site.
-
Graphing and the
Coordinate Plane
This lesson is designed
to introduce students to
graphing ordered pairs
of numbers on the
coordinate plane.
Students will be able to
give the rise over run
for slope.
-
Linking Length,
Perimeter, Area, and
Volume
This is a lesson plan
where students will work
with 2-dimensional
rectangles to focus on
the relationship between
the scale factor and
ratio of perimeters or
area of similar
figures. Graphs are
drawn for students to
visualize the linear and
non-linear relationships
of perimeter, area, and
scale factor .
-
Mathline: The Yo-Yo
Problem
Students explore linear
patterns, write a
pattern in symbolic
form, and solve linear
equations using algebra
tiles, symbolic
manipulation and the
graphing calculator.
Apply Basic
Properties of Real Numbers in
Algebraic Contexts
- A.PA.07.11
Understand and use basic
properties of real numbers:
additive and multiplicative
identities, additive and
multiplicative inverses,
commutativity, associativity,
and the distributive
property of multiplication
over addition.
-
Addition Properties
Students play an
interactive game
consisting of
commutative,
associative, additive
identity, and
distributive properties.
Students are given a
problem with one of the
properties demonstrated
and the student must
choose the correct
property. The game
immediately says if the
student is correct or
not and gives a running
total of their score.
-
Algebra Help
This site gives students
a step by step
description of
description of
distributive property,
order of operations
solving equations,
combining like terms,
F.O.I.L method,
simplifying exponents,
and substitution method
of solving equations.
Students have an
opportunity to work on
problemns after the
short lessons. This site
has many different
calculators available
that will show all work
on a problem typed in by
the student just like a
student would do the
work.
-
E-Lab : Two Step
Equations
Students will apply the
additive inverse and
multiplicative inverse
properties to solve
two-step equations.
-
Molecular Expressions,
Science, Optics, and You
- This site takes you
through a step by step
lesson to teach powers
of 10 and has an
interactive applet that
allows you to view
several things under a
micrsoscope!
-
The Derivation of Pi
- This site contains
lesson plans and
resources for a student
investigation of Pi.
Directions are clear,
directions for creating
student tools for use on
a computer are included
as well as hyperlinks to
other sites containing
more information about
the history of Pi. Very
informativve site and
useful site.
-
The National Science
Center - Concepts and
Properties of Numbers
(IV.1.MS.3)
- This site gives a
lesson plan for an
activity to discover the
value of pi. Students
will use measuring and
averaging, and hopefully
discover the value of pi.
Combine Algebraic
Expressions and Solve Equations
- A.FO.07.12 Add,
subtract, and multiply
simple algebraic expressions
of the first degree, e.g.,
(92x + 8y) – 5x + y, or
x(x+2) and justify using
properties of real numbers.*
-
E-Lab : Two Step
Equations
Students will apply the
additive inverse and
multiplicative inverse
properties to solve
two-step equations.
-
I want a credit card -
or do I?
Students will pretend to
borrow $1000.00 on a
credit card. They will
pretend to make minimum
payments for a year.
When they're done, they
will make a pie chart
showing how much of
their payments reduced
their debt, and how much
was interest. A student
worksheet, resources,
and lesson extensions
are included. Students
will be writing and
solving one-step linear
equations in one
variable. This includes
a teacher lesson plan
and is a student
activity.
-
Math Files - Equation
Match
This is an interactive
game for students. They
must find two equations
that have the same
solution. It is similar
to a game of
"Concentration".
(Warning to teachers:
Students may need a few
minutes to play with the
long arm.)
-
Molecular Expressions,
Science, Optics, and You
- This site takes you
through a step by step
lesson to teach powers
of 10 and has an
interactive applet that
allows you to view
several things under a
micrsoscope!
-
Mrs Glossers Math
Goodies
- Interactive Site
that reviews Writing
Algebraic Equations.
Students can read
questions and pick
Equations that will
answer the question.
-
Multimedia Math Glossary
-
Outstanding!
Gives students a visual
along with the
definition. Some
examples are animated,
but all examples have
the word and the
definition is read to
them. Grades K-8
-
The Derivation of Pi
- This site contains
lesson plans and
resources for a student
investigation of Pi.
Directions are clear,
directions for creating
student tools for use on
a computer are included
as well as hyperlinks to
other sites containing
more information about
the history of Pi. Very
informativve site and
useful site.
-
-
The National Science
Center
- This site gives a
lesson plan for an
activity to discover the
value of pi. Students
will use measuring and
averaging, and hopefully
discover the value of
pi.
-
Using Algebra and
Discrete Mathematics to
Investigate Population
Changes in a Trout Pond
This investigation
illustrates the use of
iteration, recursion and
algebra to model and
analyze a changing fish
population. Graphs,
equations, tables, and
technological tools are
used to investigate the
effect of varying
parameters on the
long-term population.
Students will complete a
numerical analysis, a
graphical analysis, and
a symbolic analysis from
the data.
-
Waldo's Interactive Math
- This interactive
sites includes an
activity allowing
students to manipulate a
number line in order to
solve equations.
Students may choose the
difficulty of the
equations they wish to
solve. Some teacher
direction may be needed
initially although the
directions are clear.
This site uses JAVA
applets.
- A.FO.07.13 From
applied situations, generate
and solve linear equations
of the form ax + b = c and
ax + b = cx + d, and
interpret solutions. *
revised expectations in
italics
-
Algebra - Fun with
Calendars
A fun mathematical
puzzle that shows
students a use for
algebra. By using a
simple linear equation
students can determine
what four days on a
calendar someone has
chosen.
-
California Here We Come!
This site allows teams
of students to choose
any state capital on the
east coast as their
starting point. They
travel west stopping at
each state capital along
the way and record miles
traveled. Each student
group will create a
chart or table showing
the number of miles
traveled from state
capital to state capital
and then total numbers
of miles driven. Lesson
plan, evaluation,
extensions, and student
activity sheets are
included. Skills used
will involve solving
linear equations and
inequalities over the
rational numbers, as
well as solving
multistep problems
involving rate, average
speed, distance and
time, or direct
variation. This includes
a teacher lesson plan
and is a student
activity.
-
Grap Mole Game
- Introduction to
Coordinate plane. Learn
about the X and Y axis
and how to plot points
on the graph. Game comes
in different levels of
difficulty. The game is
a good review, students
will have fun while
learning coordinate
plane.
-
Linear Inequalities
Manipulate and visualize
the solution sets of
linear inequalities in
slope-intercept form.
-
Slope Intercept Form
Interactive tool to
experiment with the
slope and intercept of a
line. See how the slope
of a line is calculated.
-
Using Algebra and
Discrete Mathematics to
Investigate Population
Changes in a Trout Pond
This investigation
illustrates the use of
iteration, recursion and
algebra to model and
analyze a changing fish
population. Graphs,
equations, tables, and
technological tools are
used to investigate the
effect of varying
parameters on the
long-term population.
Students will complete a
numerical analysis, a
graphical analysis, and
a symbolic analysis from
the data.
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