A-C Valley Junior-Senior High School

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1 Course of Study A-C Valley Junior-Senior High School Page 1 of 17 Algebra II (NAM E OF COURSE) GRADE LEVEL(S): 9-10 Educational Curriculum Level Person(s) Revising Curriculum (List Names) 1. Junior-Senior High School 1. Mary Rothen

2 Page 2 of 17 Subject/Discipline: Algebra II PA Academic Standards Category: 2.1, 2.2, 2.4, 2.5, 2.8 Major Concept: Numbers/Computation & Estimation/Math Reasoning & Problem Solving/Algebra Grade Level(s): 9-10 Use properties of real numbers to simplify expressions Solve equations using properties of equality Solve inequalities and graph their solution sets Solve absolute value equations and inequalities worksheet A Use operations (e.g., opposite, reciprocal, absolute value, raising to a power, finding roots, finding logarithms) A Develop and use computation concept operations and procedures with real numbers in problemsolving situations E Demonstrate mathematical solutions to problems C Present mathematical procedures and results clearly, systematically, succinctly and correctly D Formulate expressions, equations, inequalities, systems of equations, systems of inequalities and matrices to model routine and nonroutine problem situations

3 Page 3 of 17 Subject/Discipline: Algebra II PA Academic Standards Category: 2.6, 2.7, 2.2 Major Concept: Statistics & Data Analysis/Probability & Predictions/Computation & Estimation Grade Level(s): 9-10 Instructional Methods PA Academic Standards Assessment Materials / Resources Find and use measures of central tendency Find standard derivations for a set of data Solve problems involving normally distributed data Create and interpret stemand-leaf plots, histograms, and box-and-whisker plots worksheets A Design and conduct an experiment using random sampling. Describe the data as an example of a distribution using statistical measures of center and spread. Organize and represent the results with graphs B Use appropriate technology to organize and analyze data taken from the local community E Determine the validity of the sampling method described in a given study Participation Attendance, attitude, behavior H Use sampling techniques to draw inferences about large populations I Describe the normal curve and use its properties to answer questions about sets of data that are assumed to be normally distributed C Draw and justify a conclusion regarding the validity of a probability or statistical argument

4 Page 4 of 17 Subject/Discipline: Algebra II PA Academic Standards Category: 2.6, 2.7, 2.2 Major Concept: Statistics & Data Analysis/Probability & Predictions/Computation & Estimation (Cont.) Grade Level(s): 9-10 Find and use measures of central tendency Find standard derivations for a set of data A Develop and use computation concept operations and procedures with real numbers in problemsolving situations Solve problems involving normally distributed data Create and interpret stemand-leaf plots, histograms, and box-and-whisker plots worksheets Participation Attendance, attitude, behavior

5 Page 5 of 17 Subject/Discipline: Algebra II PA Academic Standards Category: 2.8 Major Concept: Algebra and Functions Grade Level(s): 9-10 Use different methods to graph two-variable linear functions on the coordinate plane Graph inequalities on the coordinate plane Use patterns and tables to solve problems Determine if direct variation exists Set up and solve proportions worksheets K Select, justify and apply an appropriate technique to graph linear function in two variables, including slope-intercept, x- and y-intercepts, graphing by transformations and the use of a graphing calculator E Use equations to represent curves 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 O Determine the domain and range of a relation, given a graph or set of ordered pairs Q Represent functional relationships in tables, charts and graphs

6 Page 6 of 17 A-C VALLEY JUNIOR-SENIOR HIGH SCHOOL Subject/Discipline: Algebra II PA Academic Standards Category: 2.8 Major Concept: Algebra and Functions (Cont.) Grade Level(s): 9-10 Use different methods to graph two-variable linear functions on the coordinate plane Graph inequalities on the coordinate plane Use patterns and tables to solve problems Determine if direct variation exists worksheets C Use patterns, sequences and series to solve routine and non-routine problems P Analyze a relation to determine whether a direct or inverse variation exists and represent it algebraically and graphically Set up and solve proportions

7 Page 7 of 17 A-C VALLEY JUNIOR-SENIOR HIGH SCHOOL Subject/Discipline: Algebra II PA Academic Standards Category: 2.8, 2.2, 2.5 Major Concept: Algebra & Functions/Computation & Estimation/Mathematical Problem Solving Grade Level(s): 9-10 Solve systems of equations in two or three variables using different methods Solve systems of inequalities A Analyze a given set of data for the existence of a pattern and represent the pattern algebraically and graphically Use systems of equations to solve real world problems worksheets D Formulate expressions, equations, inequalities, systems of equations, systems of inequalities and matrices to model routine and nonroutine problem situations F Identify whether systems of equations and inequalities are consistent or inconsistent G Analyze and explain systems of equations, systems of inequalities and matrices H Select and use an appropriate strategy to solve systems of equations and inequalities using graphing calculation symbol manipulators, spreadsheets and other software

8 Page 8 of 17 Subject/Discipline: Algebra II PA Academic Standards Category: 2.8, 2.2, 2.5 Major Concept: Algebra & Functions/Computation & Estimation/Mathematical Problem Solving (Cont.) Grade Level(s): 9-10 Solve systems of equations in two or three variables using different methods Solve systems of inequalities J Demonstrate the connection between algebraic equations and inequalities and the geometry of relations in the coordinate plane Use systems of equations to solve real world problems B Use estimation to solve problems for which an exact answer is not needed worksheets D Conclude a solution process with a summary of results and evaluate the degree to which the results obtained represent an acceptable response to the initial problem and why the reasoning is valid

9 Page 9 of 17 Subject/Discipline: Algebra II PA Academic Standards Category: 2.8 Major Concept: Algebra and Functions Grade Level(s): 9-10 Use matrices to represent data and algebraic expressions Perform operations with matrices worksheets F Identify whether systems of equations and inequalities are consistent or inconsistent G Analyze and explain systems of equations, systems of inequalities and matrices I Use matrices to organize and manipulate data, including matrix addition, subtraction, multiplication and scalar multiplication

10 Page 10 of 17 Subject/Discipline: Algebra II PA Academic Standards Category: 2.5, 2.8 Major Concept: Mathematical Problem Solving and Communication/Algebra and Functions Grade Level(s): 9-10 Multiply and divide polynomials Add, subtract and multiply polynomials Factor polynomials A Select and use appropriate mathematical concepts and techniques from different areas of mathematics and apply them to solving non-routine and multi-step problems Solve polynomial equations worksheets E Use equations to represent curves Q Represent functional relationships in tables, charts and graphs S Analyze properties and relationships of functions T Analyze and categorize functions by their characteristics

11 Page 11 of 17 Subject/Discipline: Algebra II PA Academic Standards Category: 2.1, 2.2, 2.5, 2.8, 2.10 Major Concept: Numbers/Computation/Math Problem Solving/Algebra & Functions/Trigonometry Grade Level(s): 9-10 Simplify radical expressions A Use operations Operate radical expressions Solve equations containing radicals Simplify expressions with rational exponents Operations with complex numbers Operations with rational expressions Solve rational equations worksheets A Develop and use computation concept operations and procedures with real numbers in problemsolving situations B Use symbols, mathematical terminology, standard notation, mathematical rules, graphing and other types of mathematical representations to communicate observations, predictions, concepts, procedures, generalizations, ideas and results C Present mathematical procedures and results clearly, systematically, succinctly and correctly D Formulate expressions, equations, inequalities, systems of equations, systems of inequalities and matrices to model routine and nonroutine problem situations

12 Page 12 of 17 Subject/Discipline: Algebra II PA Academic Standards Category: 2.1, 2.2, 2.5, 2.8, 2.10 Major Concept: Numbers/Computation/Math Problem Solving/Algebra & Functions/Trig (Cont.) Grade Level(s): 9-10 Simplify radical expressions Operate radical expressions Solve equations containing radicals Simplify expressions with rational exponents B Identify, create and solve practical problems involving right triangles using the trigonometric functions and the Pythagorean Theorem Q Represent functional relationships in tables, charts and graphs Operations with complex numbers Operations with rational expressions Solve rational equations worksheets S Analyze properties and relationships of functions T Analyze and categorize functions by their characteristics

13 Page 13 of 17 Subject/Discipline: Algebra II PA Academic Standards Category: 2.5, 2.1, 2.2, 2.8 Major Concept: Math Problem Solving/Numbers/Computation & Estimation/Algebra and Functions Grade Level(s): 9-10 Graph quadratic functions Solve quadratic equations by graphing, factoring, completing the square and the quadratic formula Analyze graphs of quadratic functions Curve fitting with quadratic models Solve quadratic inequalities worksheets B Use symbols, mathematical terminology, standard notation, mathematical rules, graphing and other types of mathematical representations to communicate observations, predictions, concepts, procedures, generalizations, ideas and results C Present mathematical procedures and results clearly, systematically, succinctly and correctly A Use operations A Develop and use computation concept operations and procedures with real numbers in problemsolving situations B Use estimation to solve problems for which an exact answer is not needed

14 Page 14 of 17 Subject/Discipline: Algebra II PA Academic Standards Category: 2.5, 2.1, 2.2, 2.8 Major Concept: Math Problem Solving/Numbers/Computation & Estimation/Algebra & Functions (Cont.) Grade Level(s): 9-10 Graph quadratic functions Solve quadratic equations by graphing, factoring, completing the square and the quadratic formula Analyze graphs of quadratic functions Curve fitting with quadratic models Solve quadratic inequalities worksheets D Formulate expressions, equations, inequalities, systems of equations, systems of inequalities and matrices to model routine and nonroutine problem situations N Solve linear, quadratic and exponential equations both symbolically and graphically R Create and interpret functional models T Analyze and categorize functions by their characteristics S Analyze properties and relationships of functions

15 Page 15 of 17 A-C VALLEY JUNIOR-SENIOR HIGH SCHOOL Subject/Discipline: Algebra II PA Academic Standards Category: 2.7 Major Concept: Probability and Predictions Grade Level(s): 9-10 Calculate theoretical and experimental probability Compare odds and probability Calculate probability of mutually exclusive events and of independent events Solve problems involving permutations and combinations worksheets A Compare odds and probability B Apply probability and statistics to perform an experiment involving a sample and generalize its results to the entire population D Use experimental and theoretical probability distributions to make judgments about the likelihood of various outcomes in uncertain situations E Solve problems involving independent simple and compound events

16 Page 16 of 17 Subject/Discipline: Algebra II PA Academic Standards Category: 2.1, 2.2, 2.8 Major Concept: Numbers/Computation and Estimation/Algebra and Functions Grade Level(s): 9-10 Find perpendicular and parallel lines in the coordinate plane Use coordinates to classify quadrilaterals Use congruence relationships to find unknown values Identify, draw, and graph transformations Draw figures with line and rotational symmetry worksheets A Use operations A Develop and use computation concept operations and procedures with real numbers in problemsolving situations O Determine the domain and range of a relation, given a graph or set of ordered pairs Q Represent functional relationships in tables, charts and graphs Supplemental materials Create tessellations Find the circumference and area of circles T Analyze and categorize functions by their characteristics Draw 3-dimensional figures Sketch a one- and twoperspective drawing Identify similar figures

17 FOXBURG PENNSYLVANIA FACILITATIONS FOR SPECIAL NEEDS Page 17 of 17 Instructional Area: Algebra II Grade Level: 9-10 Supplemental Materials/Resources 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: Directed learning activities Self-guided exploration 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

A-C Valley Junior-Senior High School

Course of Study A-C Valley Junior-Senior High School Page 1 of 10 Stats/Calc (NAME OF COURSE) GRADE LEVEL(S): 11-12 Educational Curriculum Level Person(s) Revising Curriculum (List Names) 1. Junior-Senior