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 7 Integrated Math III (NAME OF COURSE) GRADE LEVEL(S): 9-12 Educational Curriculum Level Person(s) Revising Curriculum (List Names) 1. Junior-Senior High School 1. Wendy McKain
2 Page 2 of 7 Subject/Discipline: Integrated Math III PA Academic Standards Category: 2.1, 2.2, 2.3, 2.4 Major Concept: Numbers, Computation & Estimation/Measurement & Estimation/Math Reasoning Grade Level(s): 9-12 Categorize numbers by type: natural, whole, rational, irrational, real Use arithmetic operations on real numbers Measure and calculate angles of geometric figures Demonstration Guided and independent practice 2.1.8C Distinguish between and order rational and irrational numbers A Develop and use computation concept operations and procedures with real numbers in problemsolving situations A Select and use appropriate units and tools to measure to the degree of accuracy required in particular measurement situations Math Matters III book PSSA Mathematics Coach, grade 11 Geometer s sketchpad Protractors Rulers Calculators B Measure and compare angles in degrees and radians C Demonstrate the ability to produce measures with specified levels of precision A Use direct proofs, indirect proofs or proof by contradiction to validate conjectures
3 Page 3 of 7 Subject/Discipline: Integrated Math III PA Academic Standards Category: 2.1, 2.2, 2.3, 2.4 Major Concept: Numbers, Computation & Estimate/Measurement & Estimation/Math Reason (Cont.) Grade Level(s): 9-12 Instructional Methods PA Academic Standards Assessment Materials / Resources Categorize numbers by type: natural, whole, rational, irrational, real Use arithmetic operations on real numbers Measure and calculate angles of geometric figures Demonstration Guided and independent practice B Construct valid arguments from stated facts C Determine the validity of an argument E Demonstrate mathematical solutions to problems (e.g., in the physical sciences) Math Matters III book PSSA Mathematics Coach, grade 11 Geometer s sketchpad Protractors Rulers Calculators
4 Page 4 of 7 Subject/Discipline: Integrated Math III PA Academic Standards Category: 2.5, 2.6, 2.7 Major Concept: Math Problem Solving/Statistics & Data Analysis/Probability and Predictions Grade Level(s): 9-12 Evaluate functions for given input values properties of equality to prove conjectures and theorems Calculate, perimeter, area, surface area, and volumes of geometric shapes and solids Modeling Real life examples Exploration with technology Group work C Present mathematical procedures and results clearly, systematically, succinctly and correctly 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 Graphing calculator Analyze and construct graphs Calculate probabilities E Determine the validity of the sampling method described in a given study E Solve problems involving independent simple and compound events 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
5 Page 5 of 7 Subject/Discipline: Integrated Math III PA Academic Standards Category: 2.5, 2.6, 2.7 Major Concept: Math Problem Solving/Statistics & Data Analysis/Probability and Predictions (Cont.) Grade Level(s): 9-12 Evaluate functions for given input values properties of equality to prove conjectures and theorems Calculate, perimeter, area, surface area, and volumes of geometric shapes and solids Modeling Real life examples Exploration with technology Group work C Draw and justify a conclusion regarding the validity of a probability or statistical argument D Use experimental and theoretical probability distributions to make judgments about the likelihood of various outcomes in uncertain situations Graphing calculator Analyze and construct graphs Calculate probabilities
6 Page 6 of 7 Subject/Discipline: Integrated Math III PA Academic Standards Category: 2.9, 2.10 Major Concept: Geometry/Trigonometry Grade Level(s): 9-12 Use properties of polygons to solve problems proven theorems, and B Prove that two triangles or two polygons are congruent or similar using algebraic, coordinate and deductive proofs C Identify and prove the properties of quadrilaterals involving opposite sides and angles, consecutive sides and angles and diagonals using deductive proofs Geometer s Sketchpad software D Identify corresponding parts in congruent triangles to solve problems E Solve problems involving inscribed and circumscribed polygons F Use the properties of angles, arcs, chords, tangents and secants to solve problems involving circles G Solve problems using analytic geometry
7 Page 7 of 7 Subject/Discipline: Integrated Math III PA Academic Standards Category: 2.9, 2.10 Major Concept: Geometry/Trigonometry (Cont.) Grade Level(s): 9-12 Use properties of polygons to solve problems proven theorems, and B Identify, create and solve practical problems involving right triangles using the trigonometric functions and the Pythagorean Theorem Geometer s Sketchpad software
A-C Valley Junior-Senior High School
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