|
|
|
Poyen School |
|
Poyen School Curriculum K - 12 2007-2008 |
|
Mathematics - Algebraic Connections |
|
|
Counting techniques: Number of outcomes
The learner will be able to
apply counting techniques to determine the number of outcomes: 1. Tree diagram 2. Fundamental Counting Principle 3. Permutations (with and without repetition) 4. Combinations.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Data: Evaluate, Predict, Probability |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks PS.1.AC.1 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Add to lesson, Teacher made worksheets [Teaching Strategies]. |
|
|
Simple probability experiments
The learner will be able to
conduct and interpret simple probability experiments using: 1. Manipulatives (spinners, dice, cards, coins) 2. Simulations (Using random number tables, graphing calculators, or computer software).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Data: Evaluate, Predict, Probability |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks PS.1.AC.2 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 2.6 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 2.7 [Textbook]. |
| · |
Activity, Class experiments [Teaching Strategies]. |
|
|
Theoretical & Experimental Probabili
The learner will be able to
compute and display theoretical and experimental probability including the use of Venn diagrams. 1. Simiple 2. Complementary 3. Compound (mutually exclusive, inclusive, independent and dependent events).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Data: Evaluate, Predict, Probability |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks PS.1.AC.3 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 2.6 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 2.7 [Textbook]. |
|
|
Apply probability theory
The learner will be able to
apply probability to real-world situations such as weather prediction, game theory, fair division, insurance tables, and election theory.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Data: Evaluate, Predict, Probability |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks PS.1.AC.4 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 2.6 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 2.7 [Textbook]. |
|
|
Graphical and Tabular Data Display
The learner will be able to
interpret and evaluate, with and without appropriate technology, graphical and tabular data displays for 1. Consistency with the data 2. Appropriateness of type of graph or data display. 3. Scale 4. Overall message.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Data: Evaluate, Predict, Probability |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks PS.1.AC.5 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 1.1 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 1.4 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 1.6 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 8.5 [Textbook]. |
|
|
Relationship: independent/dependent
The learner will be able to
create, given a graph without an explicit formula, a written or oral interpretation of the relationship between the independent and dependent variables.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Analyze functions |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks LF.2.AC.1 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 8.3 [Textbook]. |
|
|
Graph:Independent/Dependent Relationship
The learner will be able to
create, given a situation, a graph that models the relationship between the independent and dependent variables.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Analyze functions |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks LF.2.AC.2 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 8.4 [Textbook]. |
|
|
Domain/range/independent/dependent
The learner will be able to
determine the independent and dependent variables, domain and range of a relation from and algebraic expression, graph, set of ordered pairs, or table of data.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Analyze functions |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks LF.2.AC.3 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Independent/dependent variables; lesson 8.3 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Domain/range: lesson 8.1 [Textbook]. |
|
|
Interpret: Slope and intercepts
The learner will be able to
interpret the rate of change (slope) and intercepts within the context of everyday life (Example: Telephone charges based on base rate (y-intercept) plus rate per minute (slope)).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Analyze functions |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks LF.2.AC.4 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 5.1 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 4.6 [Textbook]. |
|
|
Calculate slope
The learner will be able to
calculate the slope given: 1. Two points 2. A graph of a line 3. An equation of a line.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Analyze functions |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks LF.2.AC.5 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 5.1 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 5.2 [Textbook]. |
|
|
Lines: Parallel/perpendicular,/neither
The learner will be able to
determine, using slope, whether a pair of lines are parallel, perpendicular, or neither.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Analyze functions |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks LF.2.AC.6 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 11.1 [Textbook]. |
|
|
Write an equation
The learner will be able to
write an equation given: 1. Two points 2. A point and y-intercept 3. An x-intercept and y-intercept 4. A point and slope 5. A table of data 6. The graph of a line.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Analyze functions |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks LF.2.AC.7 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 5.2 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 5.3 [Textbook]. |
|
|
Piece-wise and step functions
The learner will be able to
graph, with and without appropriate technology, functions defined as piece-wise and step.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Analyze functions |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks LF.2.AC.8 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Add to lesson, Algebra 2 book: lesson 2.7 [Teaching Strategies]. |
|
|
|
Solving Equations & Inequalities
|
Multi-step equations/inequalities
The learner will be able to
solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients numerically, algebraically, and graphically.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Equations, Inequalities & their Sys |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks SEI.3.AC.1 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Solve equations: lesson 4.2; lesson 4.8 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Solve inequalities: lesson 6.5 [Textbook]. |
|
|
Systems of equations/inequalities
The learner will be able to
solve, with and wtihout appropriate technology, systems of two linear equations and systems of two inequalities numerically, algebraically, and graphically.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Equations, Inequalities & their Sys |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks SEI.3.AC.2 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Systems of equations [Textbook]. lesson 6.1, lesson 6.2, lesson 6.3, lesson 6.4 |
| · |
Discovering Algebra, Key Curriculum Press, Systems of inequalities: lesson 6.6, lesson 6.7 [Textbook]. |
|
|
Literal equations
The learner will be able to
solve linear formulas and literal equations for a specified variable.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Equations, Inequalities & their Sys |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks SEI.3.AC.3 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Add to lesson, Algebra I book: section 3.7 [Teaching Strategies]. |
|
|
Distance, midpoint, Pythagorean Theorem
The learner will be able to
use, with and without appropriate technology, coordinate geometry to represent and solve problems including midpoint, length of a line segment and Pythagorean Theorem.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Equations, Inequalities & their Sys |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks SEI.3.AC.4 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Distance formula: lesson 11.6 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Midpoint formula: lesson 11.2 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Pythagorean theorem: lesson 11.4 [Textbook]. |
|
|
Affects of changing dimensions
The learner will be able to
determine and describe, with and without appropriate technology, the resulting change in the perimeter, area, and volume when one or more dimensions change (apply this idea in solving real world problems).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Equations, Inequalities & their Sys |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks SEI.3.AC.5 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Add to lesson, Teacher made worksheet [Teaching Strategies]. |
|
|
Apply linear/piece-wise/step functions
The learner will be able to
apply linear, piece-wise and step functions to real world situations that involve a combination of rates, proportions, and percents such as sales tax, simple interest, social security, constant depreciation and appreciaton, arithmetic sequences, constant rate of change, income taxes, postage, utility bills, commission, and traffic tickets.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Equations, Inequalities & their Sys |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks SEI.3.AC.6 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Rates: lesson 3.1 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Proportions: lesson 2.1; lesson 2.3 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Percent: lesson 2.2 [Textbook]. |
|
|
Factor polynomials
The learner will be able to
factor polynomials: 1. Greatest common factor 2. Binomials (difference of squares) 3. Trinomials 4. Combinations of above.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Nonlinear: solve, compare, transform |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NF.4.AC.1 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, GCF: lesson 5.4 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Difference of squares: [Textbook]. Algebra A/B book lesson 10.7 |
| · |
Discovering Algebra, Key Curriculum Press, Trinomials: lesson 10.4 [Textbook]. |
| · |
Add to lesson, Combinations of factoring: teacher made worksheet [Teaching Strategies]. |
|
|
Operations with radical expressions
The learner will be able to
simplify, add, subtract and multiply radical expressions.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Nonlinear: solve, compare, transform |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NF.4.AC.2 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 11.5 [Textbook]. |
|
|
Solve quadratic equations
The learner will be able to
solve, with and without appropriate technology, quadratic equations with real number solutions using factoring and the quadratic formula.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Nonlinear: solve, compare, transform |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NF.4.AC.3 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Solve quadratic equations: lesson 10.1 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Quadratic formula: lesson 10.7 [Textbook]. |
|
|
Domain/range/independent/dependent
The learner will be able to
determine the independent and dependent variables, domain and range of a relation from algebraic equations, graphs, sets of ordered pairs, or tables of data.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Nonlinear: solve, compare, transform |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NF.4.AC.4 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Independent/dependent: lesson 8.3 [Textbook]. |
| · |
Discovering Algebra, Key Curriculum Press, Domain/range: lesson 4.4 [Textbook]. |
|
|
Apply nonlinear functions
The learner will be able to
identify and apply nonlinear functions to real world situations such as acceleration, area, volume, population, bacteria, compound interest, percent depreciation and appreciation, amortization, geometric sequences, etc.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Nonlinear: solve, compare, transform |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NF.4.AC.5 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 8.5 [Textbook]. |
|
|
Function families
The learner will be able to
recognize function families including vertical shifts, horizontal shifts, and reflections over the x-axis.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Nonlinear: solve, compare, transform |
|
Master |
1.0 |
2004 Arkansas Mathematics Frameworks NF.4.AC.6 |
Classroom
|
| |
Instructional Resources |
| |
| · |
Discovering Algebra, Key Curriculum Press, Lesson 9.2 [Textbook]. |
|
|
|
