Mathematics - Transition to College Mathematics

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Mathematics

·	K Math
·	1st Grade Math
·	2nd Grade Math
·	3rd Grade Math
·	4th Grade Math
·	5th Grade Math
·	6th Grade Math
·	7th Grade Math
·	8th Grade Math
·	Algebra I
·	Algebra A
·	Algebra B
·	Geometry
·	ALE Geometry
·	Investigating Geometry
·	Algebraic Connections
·	Algebra II
·	Transition to College Mathematics
·	Pre-Calculus including Trigonometry
·	Computer Mathematics

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Poyen School

Poyen School Curriculum K - 12 2007-2008

Mathematics - Transition to College Mathematics

Printable Version

exponential functions | Linear Functions | Mathematical Models | Probability/Statistics

Linear Functions

Identify linear relationships
The learner will be able to identify a linear relationship represented by a table, by a graph, and by symbolic forms.

Strand	Bloom's	Scope	Hours	Source	Activities
Use technology: Student generated data		Master	1.0	2004 Arkansas Mathematics Frameworks LF.1.TM.1	Classroom

Instructional Resources

·	Integrated Math: Transition to College Math, Simms, Yesterday's Food is Walking and Talking Today Unit [Textbook].
·	Mathematical Models with Applications, Comap, Chapter 1 [Textbook].
·	Explorations and Project Book, McDougal Littell, Creating Linear Puzzles Page 34, 35 [Textbook].
·	Explorations and Project Book, McDougal Littell, Exploration 3 page 96 [Textbook].
·	Algebra 2 Resource Masters, Glencoe, Chapter 2: Lessons 2.1 - 2.5 [Textbook].
·	Hands On Activities, Prentice Hall, Activity 14 [Textbook].
·	Hands On Activities, Prentice Hall, Activity 33 [Textbook].
·	Hands On Activities, Prentice Hall, Activity 34 [Textbook].
·	Hands On Activities, Prentice Hall, Activity 35 [Textbook].
·	MathThematics: Book 3, McDougal Littell, Module 5: Section 2 [Textbook].
·	MathThematics: Book 3, McDougal Littell, Module 7: Section 1 and 2 [Textbook].

Assessment Resources

·	Project, Arm Span and Height [Teaching Strategies].
·	Project, Stretching a Rubber Band [Teaching Strategies].

Real World meaning of slope and y int.
The learner will be able to determine the initial condition and the rate of change in real-world situations described by y = mx + b.

Strand	Bloom's	Scope	Hours	Source	Activities
Use technology: Student generated data		Master	1.0	2004 Arkansas Mathematics Frameworks LF.1.TM.2	Classroom

Instructional Resources

·	Integrated Math: Transition to College Math, Simms, Yesterday's Food is Walking and Talking Today Unit [Textbook].
·	Mathematical Models with Applications, Comap, Chapter 1 [Textbook].
·	Algebra 2 Resource Masters, Glencoe, Chapter 2: Lessons 2.1 - 2.5 [Textbook].
·	MathThematics: Book 3, McDougal Littell, Module 5: Section 2 [Textbook].
·	MathThematics: Book 3, McDougal Littell, Module 7: Section 1 and 2 [Textbook].
·	Hands On Activities, Prentice Hall, Activity 14 [Textbook].
·	Hands On Activities, Prentice Hall, Activity 33 [Textbook].
·	Hands On Activities, Prentice Hall, Activity 34 [Textbook].
·	Hands On Activities, Prentice Hall, Activity 35 [Textbook].

Assessment Resources

·	Project, Arm Span and Height [Teaching Strategies].
·	Project, Stretching a Rubber Band [Teaching Strategies].

Make inferences and predictions
The learner will be able to make inferences and predictions using: 1. Recursion on the table 2. Inspection on the graph. 3. Algebraic manipulation on the model.

Strand	Bloom's	Scope	Hours	Source	Activities
Use technology: Student generated data		Master	1.0	2004 Arkansas Mathematics Frameworks LF.1.TM.3	Classroom

Instructional Resources

·	Integrated Math: Transition to College Math, Simms, Yesterday's Food is Walking and Talking Unit [Textbook].
·	Mathematical Models with Applications, Comap, Chapter 1 [Textbook].
·	Algebra 2 Resource Masters, Glencoe, Chapter 2: Lessons 2.1 - 2.5 [Textbook].
·	MathThematics: Book 3, McDougal Littell, Module 5; Section 2 [Textbook].
·	MathThematics: Book 3, McDougal Littell, Module 7: section 1 and 2 [Textbook].
·	Hands On Activities, Prentice Hall, Activity 14 [Textbook].
·	Hands On Activities, Prentice Hall, activity 33 [Textbook].
·	Hands On Activities, Prentice Hall, Activity 34 [Textbook].
·	Hands On Activities, Prentice Hall, Activity 35 [Textbook].

Assessment Resources

·	Project, Arm Span and Height [Teaching Strategies].
·	Project, Stretching a Rubber Band [Teaching Strategies].

Explain results
The learner will be able to explain, conjecture, summarize, and defend results orally, in writing and through use of appropriate technology.

Strand	Bloom's	Scope	Hours	Source	Activities
Use technology: Student generated data		Master	1.0	2004 Arkansas Mathematics Frameworks LF.1.TM.4	Classroom

Instructional Resources

·	Explorations and Project Book, McDougal Littell, Creating Linear Puzzles: page 34 & 35 [Textbook].

Assessment Resources

·	Project, Arm Span and Height [Teaching Strategies].
·	Project, Stretching a Rubber Band [Teaching Strategies].

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exponential functions

Exponential growth and decay
The learner will be able to identify exponential growth or decay by creating tables, graphs, and mathematical models.

Strand	Bloom's	Scope	Hours	Source	Activities
Enhance knowledge: exponential functions		Master	1.0	2004 Arkansas Mathematics Frameworks EF.2.TM.1	Classroom

Instructional Resources

·	Integrated Math: Transition to College Math, Simms, Unit: Skeeters are Overrunning the World [Textbook].
·	Mathematical Models with Applications, Comap, Chapter 7 [Textbook].
·	MathThematics: Book 3, McDougal Littell, Module 7: Section 3 [Textbook].
·	Explorations and Project Book, McDougal Littell, Comparing Olympic Performances; page 152 & 153 [Textbook].
·	Advanced Alg, Prentice Hall, Chapter 8 [Textbook].
·	Explorations and Project Book, McDougal Littell, Exploration 20, 21, 22 [Textbook].

Assessment Resources

·	Project, The Way A Ball Bounes [Teaching Strategies].
·	Project, Predicting Basketball Accuracy [Teaching Strategies].
·	Project, Mathematical Modeling (college algebra) [Teaching Strategies].

Compare exponential models
The learner will be able to compare exponential models.

Strand	Bloom's	Scope	Hours	Source	Activities
Enhance knowledge: exponential functions		Master	1.0	2004 Arkansas Mathematics Frameworks LF.1.TM.2	Classroom

Instructional Resources

·	Advanced Alg, Prentice Hall, Chapter 8 [Textbook].
·	Integrated Math: Transition to College Math, Simms, Skeeters are Overrunning the World Unit [Textbook].
·	Mathematical Models with Applications, Comap, Chapter 7 [Textbook].
·	Explorations and Project Book, McDougal Littell, Exploration 20, 21, 22 [Textbook].

Assessment Resources

·	Project, The Way a Ball Bounces [Teaching Strategies].
·	Project, Predicting Basketball Accuracy [Teaching Strategies].
·	Project, Mathematical Modeling (college algebra) [Teaching Strategies].

Compare: linear & exponential
The learner will be able to compare and contrast linear and exponential models.

Strand	Bloom's	Scope	Hours	Source	Activities
Enhance knowledge: exponential functions		Master	1.0	2004 Arkansas Mathematics Frameworks LF.1.TM.3	Classroom

Instructional Resources

·	Explorations and Project Book, McDougal Littell, Comparing Olympic Performances; page 152 & 153 [Textbook].

Assessment Resources

·	Project, Mathematical Modeling (college algebra) [Teaching Strategies].

Make inferences and predictions
The learner will be able to make inferences and predictions using: 1. Recursion on the table 2. Inspection of the graph 3. Algebraic manipulation on the model.

Strand	Bloom's	Scope	Hours	Source	Activities
Enhance knowledge: exponential functions		Master	1.0	2004 Arkansas Mathematics Frameworks LF.1.TM.4	Classroom

Instructional Resources

·	Advanced Alg, Prentice Hall, Chapter 8 [Textbook].
·	Integrated Math: Transition to College Math, Simms, Skeeters are Overrunning the World Unit [Textbook].
·	Mathematical Models with Applications, Comap, Chapter 7 [Textbook].
·	MathThematics: Book 3, McDougal Littell, Module 7: Section 3 [Textbook].
·	Explorations and Project Book, McDougal Littell, Exploration 20, 21, 22 [Textbook].

Assessment Resources

·	Project, Comparing Olympic Performances [Teaching Strategies].
·	Project, The Way a Ball Bounces [Teaching Strategies].
·	Project, Predicting Basketball Accuracy [Teaching Strategies].
·	Project, Mathematical Modeling (college Algebra) [Teaching Strategies].

Use regression to develop model
The learner will be able to develop, with appropriate technology, an algebraic model through the regression process.

Strand	Bloom's	Scope	Hours	Source	Activities
Enhance knowledge: exponential functions		Master	1.0	2004 Arkansas Mathematics Frameworks LF.1.TM.5	Classroom

Instructional Resources

·	Explorations and Project Book, McDougal Littell, Comparing Olympic Performances [Textbook].
·	Integrated Math: Transition to College Math, Simms, Skeeters are Overrunning the World Unit [Textbook].
·	Mathematical Models with Applications, Comap, Chapter 7 [Textbook].

Assessment Resources

·	Project, The Way a Ball Bounces [Teaching Strategies].
·	Project, Predicting Basketball Accuracy [Teaching Strategies].
·	Project, Mathematical Modeling (college Algebra) [Teaching Strategies].

Explain results
The learner will be able to explain, conjecture, summarize, and defend results orallly, in writing, and through the use of appropriate technology.

Strand	Bloom's	Scope	Hours	Source	Activities
Enhance knowledge: exponential functions		Master	1.0	2004 Arkansas Mathematics Frameworks LF.1.TM.6	Classroom

Instructional Resources

·	Explorations and Project Book, McDougal Littell, Comparing Olympic Performances: page 152 & 153 [Textbook].

Assessment Resources

·	Project, The Way a Ball Bounces [Teaching Strategies].
·	Project, Predicting Basketball Accuracy [Teaching Strategies].
·	Project, Mathematical Modeling (college algebra( [Teaching Strategies].

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Mathematical Models

Connections: tables/graphs/symbolic
The learner will be able to establish connections between tables and graphs, and the symbolic form using geometric and algebraic models (quadratic, rational, etc.).

Strand	Bloom's	Scope	Hours	Source	Activities
Continuous, discontinuous, discrete		Master	1.0	2004 Arkansas Mathematics Frameworks MM.3.TM.1	Classroom

Instructional Resources

·	Integrated Math: Transition to College Math, Simms, Graphing the Distance Module [Textbook].
·	Balanced Assessment: Middle Grades, Toothpicks [Textbook].
·	Balanced Assessment: High School, Sort Them [Textbook].

Assessment Resources

·	Project, Investigating the Flow of Water [Teaching Strategies].

Apply matrices
The learner will be able to apply, with appropriate technology, matrices to real world problems and decision making.

Strand	Bloom's	Scope	Hours	Source	Activities
Continuous, discontinuous, discrete		Master	1.0	2004 Arkansas Mathematics Frameworks MM.3.TM.2	Classroom

Instructional Resources

·	Integrated Math: Transition to College Math, Simms, Marvelous Matrices Module [Textbook].

Make inferences and predictions
The learner will be able to make inferences and predictions using: 1. Recursion on the table 2. Inspection of the graph 3. Algebraic manipulation on the model.

Strand	Bloom's	Scope	Hours	Source	Activities
Continuous, discontinuous, discrete		Master	1.0	2004 Arkansas Mathematics Frameworks MM.3.TM.3	Classroom

Instructional Resources

·	Balanced Assessment: Middle Grades, Emergency 911! Bay City [Textbook].
·	Balanced Assessment: Advanced High School, Cheetah's Lunch [Textbook].

Assessment Resources

·	Project, Investigating the Flow of Water [Teaching Strategies].

Explain results
The learner will be able to explain, conjecture, summarize, and defend results orally, in writing, and through the use of appropriate technology.

Strand	Bloom's	Scope	Hours	Source	Activities
Continuous, discontinuous, discrete		Master	1.0	2004 Arkansas Mathematics Frameworks MM.3.TM.4	Classroom

Instructional Resources

·	Balanced Assessment: Middle Grades, Emergency 911! Bay City [Textbook].
·	Balanced Assessment: Advanced High School, Cheetah's Lunch [Textbook].

Assessment Resources

·	Project, Education Project [Teaching Strategies].

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Probability/Statistics

Use data
The learner will be able to formulate questions that can be addressed with data and , with appropriate technology, collect, organize, and display relevant data to answer the questions.

Strand	Bloom's	Scope	Hours	Source	Activities
Analyze data & make decisions		Master	1.0	2004 Arkansas Mathematics Frameworks PS.4.TM.1	Classroom

Instructional Resources

·	Mathematical Models with Applications, Comap, Chapter 4 [Textbook].
·	MathThematics: Book 3, McDougal Littell, Module 8 [Textbook].
·	Algebra I Resouce Masters, Glencoe, Chapter 13 [Textbook].
·	Balanced Assessment: Advanced High School, Survey Says [Textbook].
·	Balanced Assessment: Advanced High School, World Oil Consumption [Textbook].
·	Balanced Assessment: High School, Ordering a Cab [Textbook].
·	Balanced Assessment: High School, Cross the Box [Textbook].
·	Balanced Assessment: Middle Grades, Lucky Draw [Textbook].
·	Balanced Assessment: Middle Grades, Library Books [Textbook].
·	Balanced Assessment: Middle Grades, Sum of Seven [Textbook].
·	Balanced Assessment: Advanced High School, Presidential Popularity [Textbook].

Assessment Resources

·	Project, Survey Says [Teaching Strategies].
·	Project, A Matter of Taste [Teaching Strategies].

Describe/summarize data
The learner will be able to describe and summarize data numerically using central tendency variation, position statistics, and distributions.

Strand	Bloom's	Scope	Hours	Source	Activities
Analyze data & make decisions		Master	1.0	2004 Arkansas Mathematics Frameworks PS.4.TM.2	Classroom

Instructional Resources

·	Algebra I Resouce Masters, Glencoe, Chapter 13 [Textbook].
·	Mathematical Models with Applications, Comap, Chapter 4 [Textbook].
·	MathThematics: Book 3, McDougal Littell, Module 8 [Textbook].
·	Balanced Assessment: High School, Ordering a Cab [Textbook].
·	Balanced Assessment: Middle Grades, Library Books [Textbook].
·	Balanced Assessment: Middle Grades, Best Guess [Textbook].
·	Balanced Assessment: High School, Somethings Fishy [Textbook].
·	Explorations and Project Book, McDougal Littell, Exploration 12 (Alg I) [Textbook].

Counting methods/permutation/combination
The learner will be able to use counting methods, permutations, and combinations to evaluate the likelihood of events occurring.

Strand	Bloom's	Scope	Hours	Source	Activities
Analyze data & make decisions		Master	1.0	2004 Arkansas Mathematics Frameworks PS.4.TM.3	Classroom

Instructional Resources

·	Algebra I Resouce Masters, Glencoe, Chapter 14 [Textbook].
·	MathThematics: Book 3, McDougal Littell, Book 3: Module 8 [Textbook].
·	Mathematical Models with Applications, Comap, Chapter 4 [Textbook].
·	Balanced Assessment: Advanced High School, Master Mind [Textbook].
·	Balanced Assessment: Middle Grades, Lucky Draw [Textbook].
·	Balanced Assessment: Middle Grades, Sum of Seven [Textbook].
·	Balanced Assessment: Advanced High School, Dog Tags [Textbook].
·	Hands On Activities, Prentice Hall, Activity 10, 30, 32, 56 [Textbook].
·	Explorations and Project Book, McDougal Littell, Exploration 5 (Algebra I) [Textbook].
·	Explorations and Project Book, McDougal Littell, Exploration 32, 34, 35, 36, 37 (Algebra 2) [Textbook].

Assessment Resources

·	Project, Exploring the Possibilities [Teaching Strategies].
·	Project, A Matter of Taste [Teaching Strategies].

Make inferences and predictions
The learner will be able to make inferences and predictions using: 1. Recursion on the table 2. Inspection of the graph 3. Algebraic manipulation on the model.

Strand	Bloom's	Scope	Hours	Source	Activities
Analyze data & make decisions		Master	1.0	2004 Arkansas Mathematics Frameworks PS.4.TM.4	Classroom

Instructional Resources

·	Balanced Assessment: Advanced High School, Survey Says [Textbook].
·	Balanced Assessment: Advanced High School, World Oil Consumption [Textbook].
·	Balanced Assessment: High School, Ordering a Cab [Textbook].
·	Balanced Assessment: Middle Grades, Lucky Draw [Textbook].
·	Balanced Assessment: Middle Grades, Library Books [Textbook].
·	Balanced Assessment: Middle Grades, Sum of Seven [Textbook].
·	Balanced Assessment: Middle Grades, Best Guess [Textbook].
·	Balanced Assessment: High School, Somethings Fishy [Textbook].

Assessment Resources

·	Project, A Matter of Taste [Teaching Strategies].

Explain results
The learner will be able to explain, conjecture, summarize, and defend results orally, in writing, and through the use of appropriate technology.

Strand	Bloom's	Scope	Hours	Source	Activities
Analyze data & make decisions		Master	1.0	2004 Arkansas Mathematics Frameworks PS.4.TM.5	Classroom

Instructional Resources

·	Balanced Assessment: Advanced High School, Survey Says [Textbook].
·	Balanced Assessment: Advanced High School, World Oil Consumption [Textbook].
·	Balanced Assessment: Advanced High School, Master Mind [Textbook].
·	Balanced Assessment: High School, Ordering a Cab [Textbook].
·	Balanced Assessment: Middle Grades, Lucky Draw [Textbook].
·	Balanced Assessment: Middle Grades, Library Books [Textbook].
·	Balanced Assessment: Middle Grades, Sum of Seven [Textbook].
·	Balanced Assessment: Middle Grades, Best Guess [Textbook].
·	Balanced Assessment: High School, Somethings Fishy [Textbook].

Assessment Resources

·	Project, Survey Says [Teaching Strategies].
·	Project, Exploring the Possibilities [Teaching Strategies].
·	Project, A Matter of Taste [Teaching Strategies].
·	Project, Playing the Game [Teaching Strategies].

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