| High School
- Benchmark 1. "Identify important variables
in a context, symbolize them and express their relationships
algebraically."
- Jurassic
Oil: Fuel Blending - Algebraic and Analytical
Thinking (V.2.HS.1,2,3,4&5)
Students will convert statements to the language
of mathematics by determining the optimal blend
of gasoline that minimizes cost. The website is
not interactive but contains worksheets, teacher
notes and case studies.
- Starting
A Problem Solution - Algebraic and Analytical
Thinking (V.2.HS.1)
This is an interactive site on solving problems.
It presents a suggested scheme to use, and has
interactive sample problems for students. This
is a student activity.
- Shedding
Light on the Subject: Function Models of Light
Decay - Algebraic and Analytical Thinking (V.2.HS.1,2,3,4&5)
Presented by NCTM (Illuminations), this website
provides the teacher with a four lesson unit on
the decay of light as an exponential model. Teachers
will appreciate the printer friendly lesson plans
accompanied by student objectives, worksheets,
and references. The site includes an interactive
grapher and downloadable movie clips (quick time
required) for students.
- The
Yo-Yo Problem - Algebraic and Analytical Thinking
(V.2.HS.1)
This site has a couple activities for students
that a teacher can print that involve representing
quantities with symbols and expressing their relationship
with equations. In the Yo-Y-o problem, they must
write and solve an equation. In the Penny Pattern,
they explore another linear model with the calculator.
- Benchmark 2. "Represent algebraic concepts
and relationships with matrices, spreadsheets, diagrams,
graphs, tables, physical models, vectors, equations
and inequalities; and translate among the various
representations."
- Function
Flyer - Algebraic and Analytical Thinking (V.2.HS.2&3)
This site allows students in Algebra and Pre-calculus
to graph equations using a java applet. Students
may then observe what happens to the graph of
a function when the constants are changed. The
site provides printable grid sheets for "pencil
and paper" activities as well as discussions
on each graphing activity.
- Jurassic
Oil: Fuel Blending - Algebraic and Analytical
Thinking (V.2.HS.1,2,3,4&5)
Students will convert statements to the
language of mathematics by determining the optimal
blend of gasoline that minimizes cost. The website
is not interactive but contains worksheets, teacher
notes and case studies.
- Modeling
Orbital Debris Problems - Algebraic and Analytical
Thinking (V.2.HS.2)
This is an excellent activity that students can
do on the computer. They must use a spreadsheet
program to enter data so they can make a scatter
plot and get a best fit line. They can compare
models they create to the actual data. They can
also answer the questions with a word processor
if they desire, or they can simply use a pencil
and paper. Searching the Internet may be necessary
to help them find answers to some of the questions.
Students are exposed to linear, quadratic, and
exponential function models. It also eludes to
acceleration in terms of the changing rate of
the deposit of orbital debris.
- Simple
Plot- Algebraic and Analytical Thinking (V.2.HS.2)
This site contains information, an interactive
coordiate plane for students and lesson plan for
teacher. The activity helps students associate
ordered pairs with their location on a coordinate
plane.
- Shedding
Light on the Subject: Function Models of Light
Decay - Algebraic and Analytical Thinking (V.2.HS.1,2,3,4&5)
Presented by NCTM (Illuminations), this website
provides the teacher with a four lesson unit on
the decay of light as an exponential model. Teachers
will appreciate the printer friendly lesson plans
accompanied by student objectives, worksheets,
and references. The site includes an interactive
grapher and downloadable movie clips (quick time
required) for students.
- The
Pythagorean Theorem: Figure It Out All By Yourself
- Algebraic and Analytical Thinking (V.2.HS.2)
This site provides a guided interactive
discovery of the Pythagorean Theorem with the
ability of students to record and compare their
results. Included is a brief history of Pythagoras
and additional applications of the Pythagorean
Theorem.
- Using
Graphs, Equations, and Tables to Investigate the
Elimination of Medicine from the Body: Modeling
the Situation - Algebraic and Analytical Thinking
(V.2.HS.2&5)
This three-part example illustrates the use of
iteration, recursion, and algebra to model and
analyze the changing amount of medicine in an
athlete's body. During the first part, ”Modeling
the Situation" an interactive environment is used
to become familiar with the parameters involved
and the range of results that can be obtained.
In the second part, "Long-Term Effect" the interactive
environment is used to investigate how changing
parameter values affects the stabilization level
of medicine in the body. In the third part, "Graphing
the Situation" an interactive graphical analysis
provides a visual interpretation of the results.
- Volcano's
Deadly Warning - Algebraic and Analytical Thinking
(V.2.HS.2,4&5)
This lesson integrates science and mathematics
for the upper high school student. The math concepts
are centered around sine waves and complex waves
as they relate to the seismic signals from volcanoes.
- Benchmark 3. "Solve linear equations and
inequalities algebraically and non-linear equations
using graphing, symbol-manipulating or spreadsheet
technology; and solve linear and non-linear systems
using appropriate methods."
- Algebra
1: Graphing Linear Equations - Algebraic and Analytical
Thinking (V.2.HS.3&4)
This site contains student interaction, quizzes,
tests, and general information on such algebraic
topics as graphing linear equations, slope, ordering
pairs, properties of lines, and scatter plots.
It is very user friendly and contains hints for
students if they get stuck. It also contains games
and puzzles.
- Finite
Mathematics - Algebraic and Ananlytical Thinking
(V.2.HS.3)
Outstanding!
This site provides students with on-line tutorials
to aid in solving systems of two linear equations
in two unknowns, using matrices to solve systems
of equations, and applications of systems of linear
equations.
- Function
Flyer - Algebraic and Analytical Thinking (V.2.HS.2&3)
This site allows students in Algebra and
Pre-calculus to graph equations using a java applet.
Students may then observe what happens to the
graph of a function when the constants are changed.
The site provides printable grid sheets for "pencil
and paper" activities as well as discussions
on each graphing activity.
- Jurassic
Oil: Fuel Blending - Algebraic and Analytical
Thinking (V.2.HS.1,2,3,4&5)
Students will convert statements to the
language of mathematics by determining the optimal
blend of gasoline that minimizes cost. The website
is not interactive but contains worksheets, teacher
notes and case studies.
- Matrices
in Chemistry - Algebraic and Analytical Thinking
(V.2.HS.3)
This site shows an application of solving a system
of equations to balance simple equations in chemistry.
- Shedding
Light on the Subject: Function Models of Light
Decay - Algebraic and Analytical Thinking (V.2.HS.1,2,3,4&5)
Presented by NCTM (Illuminations), this
website provides the teacher with a four lesson
unit on the decay of light as an exponential model.
Teachers will appreciate the printer friendly
lesson plans accompanied by student objectives,
worksheets, and references. The site includes
an interactive grapher and downloadable movie
clips (quick time required) for students.
- Thinkquest
(Linear Algebra) - Algebraic and Analytical Thinking
(V2.HS.3)
This site provides examples of using a matrix
to solve a system of equations. The procedure
for solving the system of equations is reduced
row echelon form.
- Benchmark 4. "Analyze problems that can
be modeled by functions, determine strategies for
solving the problems and evaluate the adequacy of
the solutions in the context of the problems."
- Algebra
1: Graphing Linear Equations - Algebraic and Analytical
Thinking (V.2.HS.3&4)
This site contains student interaction, quizzes,
tests, and general information on such algebraic
topics as graphing linear equations, slope, ordering
pairs, properties of lines, and scatter plots.
It is very user friendly and contains hints for
students if they get stuck. It also contains games
and puzzles.
- How
quickly does a car skid to a stop? - Algebraic
and Analytical Thinking (V.2.HS.4)
This is an excellent site for students studying
the relationship between velocity and acceleration,
and between velocity and displacement. It contains
a problem where a driver is forced to slow down
suddenly, and the students must use math and graphing
to figure out if he will stop in time. The site
shows them how to convert units of velocity and
acceleration (miles to feet and hours to seconds).
They are required to plot data from an equation
and find the area under the curve. (The area under
the acceleration curve they plot gives them the
data for the velocity curve, and the area under
the velocity curve gives them the data for the
displacement curve.) From the displacement data,
they can answer the question about whether or
not the car stopped in enough time. The calculus
version of the equations from which the answer
can be obtained is given at the end of the activity,
however, the site never actually gives the answer.
The teacher will have to either understand how
to do it with the equations given or go through
the activity. This site is ideal for calculus
students investigating derivatives and integrals,
but knowledge of calculus is not needed to do
this activity with help.
- Jurassic
Oil: Fuel Blending - Algebraic and Analytical
Thinking (V.2.HS.1,2,3,4&5)
Students will convert statements
to the language of mathematics by determining
the optimal blend of gasoline that minimizes cost.
The website is not interactive but contains worksheets,
teacher notes and case studies.
- Modeling
Orbital Debris Problems - Algebraic and Analytical
Thinking (V.2.HS.4&5)
From NCTM (Illuminations), this website
provides an interactive lesson for high school
students in grades 9-12. Students explore how
different functions can be used to model the path
of orbital debris around the earth. Reproducible
worksheets, expectations, references and links
to other sites are provided.
- Shedding
Light on the Subject: Function Models of Light
Decay - Algebraic and Analytical Thinking (V.2.HS.1,2,3,4&5)
Presented by NCTM (Illuminations),
this website provides the teacher with a four
lesson unit on the decay of light as an exponential
model. Teachers will appreciate the printer friendly
lesson plans accompanied by student objectives,
worksheets, and references. The site includes
an interactive grapher and downloadable movie
clips (quick time required) for students.
- The
Busing Problem - Algebraic and Analytical Thinking
(V.2.HS.4)
This site is a good resource for teachers to set
up a polling activity for students to understand
random sampling and margin of error. They get
to look at real poll results so they can compare
them to others and understand just how accurate
they are.
- Volcano's
Deadly Warning - Algebraic and Analytical Thinking
(V.2.HS.2,4&5)
This lesson integrates science
and mathematics for the upper high school student.
The math concepts are centered around sine waves
and complex waves as they relate to the seismic
signals from volcanoes.
- Benchmark 5. "Explore problems that reflect
the contemporary uses of mathematics in significant
contexts and use the power of technology and algebraic
and analytic reasoning to experience the ways mathematics
is used in society."
- "I
Want a Credit Card -- or do I?" - Algebraic and
Analytical Thinking (V.2.HS.5)
Outstanding
- After using the Internet to research
the cost of borrowing on credit cards, students
will pretend to borrow money. They will calculate
the cost of the credit based on different payment
amounts, display results using a pie graph and
use a spread sheet to display their computations
and graph.
- Jurassic
Oil: Fuel Blending - Algebraic and Analytical
Thinking (V.2.HS.1,2,3,4&5)
Students will convert statements to the
language of mathematics by determining the optimal
blend of gasoline that minimizes cost. The website
is not interactive but contains worksheets, teacher
notes and case studies.
- Mathletics
- Algebraic and Analytical Thinking (V.2.HS.5)
This is an interactive site for students.
It describes one way math is used in each of four
sports; baseball, basketball, bowling, and football.
Calcuations are described for the students and
then they are provided with examples to test themselves.
- Modeling
Orbital Debris Problems - Algebraic and Analytical
Thinking (V.2.HS.4&5)
From NCTM (Illuminations), this website
provides an interactive lesson for high school
students in grades 9-12. Students explore how
different functions can be used to model the path
of orbital debris around the earth. Reproducible
worksheets, expectations, references and links
to other sites are provided.
- Shedding
Light on the Subject: Function Models of Light
Decay - Algebraic and Analytical Thinking (V.2.HS.1,2,3,4&5)
Presented by NCTM (Illuminations), this
website provides the teacher with a four lesson
unit on the decay of light as an exponential model.
Teachers will appreciate the printer friendly
lesson plans accompanied by student objectives,
worksheets, and references. The site includes
an interactive grapher and downloadable movie
clips (quick time required) for students.
- UBUYACAR
- Algebraic and Analytical Thinking (V.2.HS.5)
Students are coached through the problem-solving
process and provided resources to help them solve
the real-world problem, "What should your annual
salary be in order to be able to afford the car
you wish to purchase?" Must have adobe installed
to load.
- Using
Graphs, Equations, and Tables to Investigate the
Elimination of Medicine from the Body: Modeling
the Situation - Algebraic and Analytical Thinking
(V.2.HS.2&5)
This three-part example illustrates the use of
iteration, recursion, and algebra to model and
analyze the changing amount of medicine in an
athlete's body. During the first part, ”Modeling
the Situation" an interactive environment is used
to become familiar with the parameters involved
and the range of results that can be obtained.
In the second part, "Long-Term Effect" the interactive
environment is used to investigate how changing
parameter values affects the stabilization level
of medicine in the body. In the third part, "Graphing
the Situation" an interactive graphical analysis
provides a visual interpretation of the results.
- Volcano's
Deadly Warning - Algebraic and Analytical Thinking
(V.2.HS.2,4&5)
This
lesson integrates science and mathematics for
the upper high school student. The math concepts
are centered around sine waves and complex waves
as they relate to the seismic signals from volcanoes.
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