| 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.
- 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.
- 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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