A-C Valley Junior-Senior High School

Transcription

1 Course of Study A-C Valley Junior-Senior High School Page 1 of 10 Stats/Calc (NAME OF COURSE) GRADE LEVEL(S): Educational Curriculum Level Person(s) Revising Curriculum (List Names) 1. Junior-Senior High School 1. Wendy McKain

2 A-C VALLEY JUNIOR-SENOR HIGH SCHOOL Page 2 of 10 Subject/Discipline: Stats/Calc PA Academic Standards Category: 2.1, 2.8 Major Concept: Numbers, Number Systems and Number Relationships/Algebra and Functions Grade Level(s): Review the real number system Solve problems on inequalities Solve problems using absolute values, square roots, and squares Discuss the rectangular coordinate system Look at various characteristics of the straight line Graph geometric equations Discovery with A Use operations (e.g., opposite, reciprocal, absolute value, raising to a power, finding roots, finding logarithms A Analyze a given set of data for the existence of a pattern and represent the pattern algebraically and graphically D Formulate expressions, equations, inequalities, systems of equations, systems of inequalities and matrices to model routine and nonroutine problem situations E Use equations to represent curves (e.g., lines, circles, ellipses, paraboles, hyperbolas) F Identify whether systems of equations and inequalities are consistent or inconsistent

3 Page 3 of 10 Subject/Discipline: Stats/Calc PA Academic Standards Category: 2.8, 2.9 Major Concept: Algebra and Functions/Geometry (Cont.) Grade Level(s): Instructional Methods PA Academic Standards Assessment Materials / Resources Review the real number system Solve problems on inequalities Solve problems using absolute values, square roots, and squares Discuss the rectangular coordinate system Look at various characteristics of the straight line Graph geometric equations Discovery with J Demonstrate the connection between algebraic equations and inequalities and the geometry of relations in the coordinate plane K Select, justify and apply an appropriate technique to graph a linear function in two variables, including slope- intercept, x- and y- intercepts, graphing by transformations and the use of a graphing calculator L Write the equation of a line when given the graph of the line, two points on the line, or the slope of the line and a point on the line M Given a set of data points, write an equation for a line of best fit N Solve linear, quadratic and exponential equations both symbolically and graphically O Determine the domain and range of a relation, given a graph or set of ordered pairs

4 Page 4 of 10 Subject/Discipline: Stats/Calc PA Academic Standards Category: 2.8, 2.9 Major Concept: Algebra and Functions/Geometry (Cont.) Grade Level(s): Review the real number system Solve problems on inequalities Solve problems using absolute values, square roots, and squares Discuss the rectangular coordinate system Look at various characteristics of the straight line Discovery with P Analyze a relation to determine whether a direct or inverse variation exists and represent it algebraically and graphically S Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic) J Analyze figures in terms of the kinds of symmetries they have Graph geometric equations

5 Page 5 of 10 Subject/Discipline: Stats/Calc PA Academic Standards Category: 2.8, 2.11 Major Concept: Algebra and Functions/Concepts of Calculus Grade Level(s): To discuss and graph various types of functions Calculate limits and determine continuity of a function To define average velocity and instantaneous velocity in terms of limits Find the derivative of a function using the rules for derivatives Develop the chain rule for derivatives Discuss higher order derivatives and implicit differentiation To solve rate related rate problems using derivatives Discovery with Q Represent functional relationships in tables, charts and graphs S Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic) T Analyze and categorize functions by their characteristics A Determine maximum and minimum values of a functions over a specified interval B Interpret maximum and minimum values in problem situations Look at maximum and minimum values of a function Discuss the mean value Theorem

6 Page 6 of 10 Subject/Discipline: Stats/Calc PA Academic Standards Category: 2.8, 2.11 Major Concept: Algebra and Functions/Concepts of Calculus ( Cont.) Grade Level(s): Calculate complex possibilities involving dependent, independent, mutually exclusive events, etc. Graph data and analyze graphs Perform statistical tests on data and interpret results Discovery with Q Represent functional relationships in tables, charts and graphs S Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic) T Analyze and categorize functions by their Characteristics A Determine maximum and minimum values of a function over a specified interval B Interpret maximum and minimum values in problem situations

7 Page 7 of 10 Subject/Discipline: Stats/Calc PA Academic Standards Category: 2.8, 2.11 Major Concept: Algebra and Functions/Concepts of Calculus Grade Level(s): To solve exponential equations using the rules for exponentials Q Represent functional relationships in tables, charts and graphs To solve logarithmic equations using the rules of logarithms Discovery with S Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic) T Analyze and categorize functions by their Characteristics C Graph and interpret rates of growth/decay H Select and use an appropriate strategy to solve systems of equations and inequalities using graphing calculations, symbol manipulators, spreadsheets and other software N Solve linear, quadratic and exponential equations both symbolically and graphically

8 Page 8 of 10 Subject/Discipline: Stats/Calc PA Academic Standards Category: 2.8, 2.11 Major Concept: Algebra and Functions/Concepts of Calculus (Cont.) Grade Level(s): To solve exponential equations using the rules for exponentials To solve logarithmic equations using the rules of logarithms Discovery with A Analyze a given set of data for the existence of a pattern and represent the pattern algebraically and graphically

9 A-C VALLEY JUNIOR-SENIOR SCHOOL Page 9 of 10 Subject/Discipline: Stats/Calc PA Academic Standards Category: 2.8, 2.11 Major Concept: Algebra and Functions/Concepts of Calculus Grade Level(s): Determine antiderivatives and indefinite integrals To introduce differential equations Solve problems on sums and sigma notation Discuss the area under curves To explain the fundamental theorem of calculus Solve problems on definite integrals Discovery with Q Represent functional relationships in tables, charts and graphs S Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic) T Analyze and categorize functions by their Characteristics D Determine sums of finite sequences of numbers and infinite geometric series E Estimate areas under curves using sequences of areas

10 Page 10 of 10 A-C VALLEY JUNIOR-SENIOR HIGH SCHOOL FOXBURG PENNSYLVANIA FACILITATIONS FOR SPECIAL NEEDS Instructional Area: Stats/Calc Grade Level: 11, 12 Supplemental Materials/Resources Ti-82/83 Graphing Calculators Internet resources Published materials including workbooks that correlate with the adopted text books Adapted Activities Activity will be adapted using the guidance of the individual student IEP instructions Suggested adaptations are: 1. Directed activities 2. Self-guided exploration 3. The ability to work at student s individual pace Accelerated/Enriched Activities Individual and group projects where students research mathematicians and/or mathematical topics that either correlate with or expand the taught curriculum Individual and group activities where students share the opportunity to use the mathematics they have learned to experiment with real world situations, collect data, make predictions, derive conclusions, verify results, and report on each part of the activity performed both, orally and written