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Interactive Mathematics Program (IMP). Year 3: integrated high school mathematics
Series: Interactive Mathematics Program (IMP).
Grades: 10 11
ENC#: ENC-017368
Publisher: Key Curriculum Press
Date: 1999
Ordering Information
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Subjects:
 | Mathematics
Algebra. Applied mathematics. Exponential functions. Exponential growth. Functions. Geometry. Precalculus. Probability. Process skills. Statistics. Trigonometry. Writing. |
Resource Type:
Curriculum programs; Lessons and activities; Teacher guides; Textbooks.
 Supporting Materials:
ENC-002880 TI-81 graphics calculator
ENC-002879 TI-82 graphing calculator
ENC-007159 TI-83 graphing calculator
Abstract:
This curriculum program, containing a student text and five detailed teacher's guides, is the third in a series of INTERACTIVE MATHEMATICS PROGRAM (IMP) texts presenting a restructured, integrated approach to the traditional high school curriculum. Traditional material is blended with additional topics as recommended by the National Council of Teachers of Mathematics (NCTM) Standards. Each of the five units in the student text is structured around a central problem used to develop a specific math focus.
As examples of material presented in this year three text of IMP, quadratic equations are introduced with the analysis of the parabolic path of a fireworks rocket as the central problem; the binomial distribution is applied to situations, including the baseball pennant race; and exponential functions, slopes, and the derivative are studied in order to develop a model for world population growth. In the context of a problem based on a decision about land use, systems of equations with three variables are solved using the inverse matrix. Finally, in the unit titled Orchard Hideout, geometric ideas are applied to see how a hideout can grow from a circular planting of trees.
The IMP series is designed for heterogeneous classes and encourages exploration and investigation by the student. Each teacher's guide includes an overview, detailed lesson plans, and transparency masters. Students are assessed using a variety of criteria including class participation, homework, Problems of the Week, portfolios, and unit assessments Also found in the year three material is a writing unit with the primary goal for students to reflect on and improve the quality of their mathematical writing. Also included is a guide for using a graphing calculator in the year three classroom. (Author/JRS)
Table of Contents:
[Student text:]
Note to students
Fireworks
Days 1 to 3. The world of quadratics
Fireworks
The standard POW write up
Homework 1. A corral variation
POW 1. Growth of rat population
The ups and downs of quadratics
Quadratics and other polynomials
Homework 2. Rats in June
Homework 3. Product equations
Days 4 to 6. Factoring and solving
Factored intercepts
Homework 4. Make your own intercepts
Revisiting a mystery
Homework 5. Factoring begun
Who's perfect?
Homework 6. More about perfection
Days 7 to 11. The algebra of the vertex
The same but different
Homework 7. Make your own vertices
Vertex form begun
Homework 8. How much can they drink?
Homework 9. Corrals and pens again
Fireworks height revisited
Homework 10. Quadratic query
Homework 11. Fireworks portfolio
Appendix. Supplemental problems
Check it out!
Imagine a solution
More and more mysterious
Factors of research
Twin primes
Number research
Vertex forms everywhere
Vertex form and intercepts together
Quadratic symmetry
Equilateral efficiency
What about one?
Orchard hideout
Days 1 to 4. Orchards and mini-orchards
Orchard hideout
A geometric summary
Homework 1. Geometry and a mini-orchard
POW 2. Equally wet
Homework 2. Only two flowers
A perpendicularity proof
Homework 3. From two flowers to three
More mini-orchards
Homework 4. In, on, or out?
Days 5 to 7. Coordinates and distance
Homework 5. Other trees
Sprinkler in the orchard
Homework 6. The distance formula
How does your orchard grow?
Homework 7. A snack in the middle
Days 8 to 10. Equidistant points and lines
Homework 8. Proving with distance, part 1
Down the garden path
Homework 9. Perpendicular and vertical
POW 3. On patrol
Homework 10. Proving with distance, part 2
Days 11 to 15. all about circles
Squaring the circle
Homework 11. Using the squared circle
Hexagoning the circle
Homework 12. Octagoning the circle
Polygoning the circle
Homework 13. Another kind of bisector
Homework 14. Proving triples
POW 4. A marching strip
Homework 15. Orchard growth revisited
Days 16 to 19. Cable complications
Cable ready
Homework 16. Going around in circles
Homework 17. Daphne's dance floor
Homework 18. Defining circles
The standard equation of the circle
Homework 19. Completing the square and getting a circle
Days 20 to 24. Lines of sight
The other gap
Homework 20. Cylindrical soda
Lines of sight for radius six
Homework 21. Orchard time for radius three
Hiding in the orchard
Homework 22. Big Earth, little Earth
Homework 23. Beginning portfolios
Homework 24. Orchard hideout portfolio
Appendix. Supplemental problem
Right and isosceles
The perpendicular bisector converse
Counting trees
Perpendicular bisectors by algebra
Midpoint proof
Why do they always meet?
Inscribed angles
More inscribed angles
Angles in and out
Midpoint quadrilaterals
Equidistant lines
Right in the center
Thirty, sixty, ninety
More about triples
Darts
The inscribed circle
Medians and altitudes
Hypotenuse median
Not quite a circle
Knitting
Meadows or malls?
Days 1 to 2. Recreation versus development: a complex problem
Meadows or malls?
Homework 1. Meadows, malls, and variables
POW 5. That's entertainment!
Homework 2. Heavy flying
Days 3 to 7. A strategy for linear programming
Homework 3. Programming and algebra reflections
Ideas for solving systems
Programming puzzles
Homework 4. Donovan meets the Beatles
Homework 5. Finding corners without the graph
What wood would Woody want?
Homework 6. Widening Woody's woodwork
Homework 7. More equations
Days 8 to 14. Equations, points, lines, and planes
Being determined
Homework 8. How much after how long?
Homework 9. The points and the equations
The three variable coordinate system
Homework 10. What do they have in common?
Homework 11. Trying out triples
Homework 12. More cookies
Just the plane facts
Homework 13. Solving with systems
Homework 14. Fitting a line
Days 15 to 16. More cookies
POW 6. SubDivvy
Homework 15. The More Cookies region and strategy
Homework 16. Finishing off the cookies
Days 17 to 20. Equations, equations, equations
Homework 17. Easy does it!
Get rid of those variables!
Homework 18. Eliminating more variables
Homework 19. Gardener's dilemma
Elimination in three variables
Homework 20. More equation elimination
Days 21 to 26. Equations and more variables in linear programming
Ming's new maneuvers
Homework 21. Let me count the ways
Homework 22. Three variables, continued
Homework 23. Grind it out
POW 7. Crack the code!
Homework 24. Constraints without a context
Eastside westside story
Homework 25. Fitting more lines
Homework 26. Ages, coins, and fund-raising
Days 27 to 34. Saved by the matrices!
Matrix basics
Inventing an algebra
Homework 27. Fitting quadratics
Flying matrices
Homework 28. Matrices in the oven
Homework 29. Fresh ingredients
Calculators to the rescue
Homework 30. Make it simple
Back and forth
Matrices and linear systems
Homework 31. Solving the simplest
Homework 32. Things we take for granted
Finding an inverse
Homework 33. Inverses and equations
Calculators again
Homework 34. Fitting Mia's bird houses
Days 35 to 38. Solving Meadows or malls?
Homework 35. Getting ready for Meadows or malls?
Meadows or malls? revisited
Homework 36. Beginning portfolio, part 1
Homework 37. Beginning portfolio, part 2
Homework 38. Meadows or malls? portfolio
Appendix. Supplemental problems
How many regions?
The eternal triangle
The music business
Special planes
Embellishing the plane facts
A linear medley
The general two variable system
Playing forever
The shortest game
Producing programming problems: more variables
Your own three variable problem
Fitting a plane
Surfer's shirts
An associative proof
When can you find an inverse
Determining the determinant
Cracking another code
Small world, isn't it
Days 1 to 2. As the world grows
Small world, isn't it?
POW 8. The more, the merrier?
Homework 1. How many of us can fit?
How many more people?
Homework 2. Growing up
Days 3 to 5. Average growth
Homework 3. Story sketches
What a mess!
Homework 4. Traveling time
Comparative growth
Homework 5. If looks don't matter, what does?
Days 6 to 10. All in a row
Formulating the rate
Homework 6. Rates, graphs, slopes, and formulas
More about Tyler's friends
Homework 7. Wake up!
Homework 8. California, here I come!
POW 9. Planning the platforms
Homework 9. Points, slopes, and equations
The why of the line
Homework 10. Return of the rescue
Days 11 to 16. Beyond linearity
The instant of impact
Homework 11. Doctor's orders
Photo finish
Homework 12. Speed and slope
ZOOOOOOOOM
Homework 13. The growth of the oil slick
Homework 14. Speeds, rates, and derivatives
Zooming free for all
Homework 15. On a tangent
POW 10. Around King Arthur's table
Homework 16. What's it all about?
Days 17 to 23. A model for population growth
How much for broken eggs?!!?
Homework 17. Small but plentiful
Homework 18. The return of Alice
Slippery slopes
Homework 19. The forgotten account
Homework 20. How does it grow?
Homework 21. The significance of a sign
Homework 22. The sound of a logarithm
The power of powers
Homework 23. The power of powers, continued
Days 24 to 29. The best base
A basis for disguise
Homework 24. Blue book
Homework 25. California and exponents
Find that base!
Homework 26. Double trouble
The generous banker
Homework 27. Comparing derivatives
Homework 28. The limit of their generosity
Homework 29. California population with e's
Days 30 to 32. Back to the data
Tweaking the function
Homework 30. Beginnings portfolio, part 1
Return to Small world, isn't it?
Homework 31. Beginnings portfolio, part 2
Homework 32. Small world, isn't it? portfolio
Appendix. Supplemental problems
Solving for slope
Slope and slant
Predicting parallels
The slope's the thing
Speedy's speed algebra
Potential disaster
Proving the tangent
Summing the sequences, part 1 and 2
A little shakes a lot
Looking at logarithms
Finding a function
Deriving derivatives
The reality of compounding
Transcendental numbers
Dr. Doubleday's base
Investigating constants
Pennant fever
Days 1 to 2. Play ball!
Race for the pennant
POW 11. Happy birthday!
Homework 1. Playing with probabilities
Homework 2. New Year's Day
Days 3 to 6. Trees and baseball
Choosing for chores
Homework 3. Baseball probabilities
Homework 4. Possible outcomes
How likely is all wins?
Homework 5. Go for the gold!
Homework 6. Diagrams, baseball, and losing 'em all
Days 7 to 10. The birthday problem
POW 12. Let's make a deal
Simulate a deal
Homework 7. Day of the week matches
Homework 8. Day of the week matches continued
Homework 9. Monthly matches
The real birthday problem
Homework 10. Six for the defence
Days 11 to 18. Baseball and counting
And if you don't win 'em all?
Homework 11. But don't lose 'em all either
The good and the bad
Homework 12. Top that pizza!
Double scoops
Homework 13. Triple scoops
More cones for Johanna
Homework 14. Cones from bowls, bowls from cones
Bowls for Jonathan
Homework 15. At the Olympics
POW 13. Fair spoons
Homework 16. Which is which?
Formulas for permutations and combinations
Homework 17. Who's on first?
Five for seven
Homework 18. More five for sevens
Days 19 to 23. Combinatorial reasoning
What's for diner?
Homework 19. All or nothing
Homework 20. The perfect group
POW 14. And a fortune, too!
Homework 21. Feasible combinations
About bias
Homework 22. Binomial powers
Don't stand for it
Homework 23. Stop! Don't walk!
Days 24 to 28. Pascal's triangle
Pascal's triangle
Homework 24. Hi, there!
Homework 25. Pascal and the coefficients
Combinations, Pascal's way
Homework 26. Binomials and Pascal, part 1
Homework 27. Binomials and Pascal, part 2
Homework 28. A Pascal portfolio
Days 29 to 31. The baseball finale
Race for the pennant revisited
Homework 29. Graphing the games
Homework 30. Binomial probabilities
Homework 31. Pennant fever portfolio
Appendix. Supplemental problems
Putting things together
Ring the bells
Programming a deal
Simulation evaluation
The chances of doubles
Determining Dunkalot's druthers
Sleeping in
Twelve bags of gold revisited
My dog's smarter than yours
Defining Pascal
Maximum in the middle
The why's of binomial expansion
The binomial theorem and row sums
Glossary
[Calculator guide:]
Introduction to the year 3 calculator guide
TI calculator basics
Using the keypad
Function graphing
Function tables
Plotting points
Programming the calculator
Resetting calculator memory
Linking calculators
Linking the calculator to a Macintosh or PC
Calculator guide for Fireworks
Determining x-intercepts, the calculator way
Calculator guide for Orchard hideout
Drawing an orchard
Programming an orchard hideout
Using [ANS] and the last entry
Calculator guide for Meadows or malls?
Solving systems by graphing
Entering matrices and doing matrix arithmetic
Finding the inverse of a matrix
Solving linear systems using matrices
Matrices: shortcuts and tips
Calculator guide for Small world, isn't it?
Derivative at a point
Curve of best fit
Calculator guide for Pennant fever
Random numbers on the calculator
Simulating Choosing for chores
Combinatorics on the calculator
Graphing probability distributions
[Writing supplement:]
It's all write overview
Day 1. Checkerboard squares
Forming random groups
Introduction to It's all write
Checkerboard squares
Discussion of Checkerboard squares
Homework 1. Checkerboard write up
Day 2. Using a rubric
Collection of Homework 1. Checkerboard squares
Summing up Checkerboard squares
Discussion of summing up Checkerboard squares
Holistic scoring and rubrics
Scoring rubric for Checkerboard squares
Homework 2. A shaking party
Day 3. Assessing write ups
Discussion of Homework 2. A shaking party
Using a rubric
Discussion of Using a rubric
Scoring their own Checkerboard write ups
Homework 3. A shaking question
Day 4. Shaking presentations
Preparation for Homework 4. A shaking rubric
Discussion of Homework 3. A shaking question
Homework 4. A shaking rubric
Day 5. Scoring shaking write ups
Discussion of Homework 4. A shaking rubric
Class creation of a rubric
Scoring Homework 3. A shaking question
Homework 5. Assessing It's all write
Appendices
A. Anchor papers
B. Unscored papers
Pricing Information:
 | Description: 1 Orchard hideout teacher guide (paperback) | Cost: $20.85 | ISBN: 978-1-55953-294-5 | | Description: 1 Small world, isn't it? teacher's guide (paperback) | Cost: $20.85 | ISBN: 978-1-55953-296-9 | | Description: 1 Meadows or malls? teacher guide (paperback) | Cost: $20.85 | ISBN: 978-1-55953-295-2 | | Description: 1 Fireworks teacher guide (paperback) | Cost: $20.85 | ISBN: 978-1-55953-262-4 | | Description: 1 Pennant fever teacher guide (paperback) | Cost: $20.85 | ISBN: 978-1-55953-297-6 | | Description: 1 student text (hardcover) | Cost: $46.95 | ISBN: 978-1-55953-293-8 | |
Publisher:
Key Curriculum Press Contributor(s):
| Authors: Lynne Alper; Brian Lawer; Sherry Fraser; Dan Fendel; Diane Resek. |
Funding Agency:
National Science Foundation (NSF). Specifications:
Kit includes:
1 student text (xxi, 508 pages : illustrations ; 26 cm.)
5 teacher guides (each, approximately 170-400 pages : illustrations ; 28 cm.)
1 calculator guide (iv, 99 pages : illustrations ; 28 cm.)
1 writing supplement (viii, 59 pages : illustrations ; 28 cm.)
1 student text, Fireworks (iv, 56 pages : illustrations ; 26 cm.)
Record Created: 06/23/2000 Last Modified: 06/23/2005
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