York Public Schools Math, Advanced Algebra. OBJECTIVES (What it looks like in the classroom) The learner will

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1 York Public Schools Math, Advanced STRAND 1.1 NUMERATION /NUMBER SENSE By the end of will describe and compare the relationships between subsets of real numbers By the end of will express the equivalent forms of numbers using exponents, radicals, scientific notation, absolute values, fractions, decimals, and percents. ) Compare the relationships between subsets of real numbers. Express equivalent forms of numbers using radicals, scientific notation, and absolute values S TAUGHT Aug. Mid-March SSED Aug. End March v Form developed by ESU #6 Page - 1 -

2 1.. COMPUTATION /ESTIMATION York Public Schools Math, Advanced 1..1 By the end of will solve theoretical and applied problems using numbers in equivalent forms, radicals, exponents, scientific notation, absolute values, fractions, decimals, and percents, ratios and proportions, order of operations, and properties of real numbers. 1.. By the end of will justify solutions to mathematical problems. ) Apply properties of rational exponents. Model direct, invers and joint variation S TAUGHT Aug.-May Sept SSED Various different assessments. assessment in early April Sept v Form developed by ESU #6 Page - -

3 1..3 MEASUREME York Public Schools Math, Advanced 1..3 By the end of will perform estimations and computations of real numbers mentally, with paper and pencil, and with technology By the end of will select and use measuring units, tools, and/or technology and explain the degree of accuracy and precision of measurements By the end of will convert between metric and standard units of measurement, given conversion factors. ) S TAUGHT SSED v Form developed by ESU #6 Page - 3 -

4 1.4 GEOMETRY /SPATIAL CONCEPT York Public Schools Math, Advanced By the end of will calculate perimeter and area of twodimensional shapes and surface area and volume of three-dimensional shapes By the end of will create geometric models to describe the physical world By the end of will evaluate characteristics and properties of two- and three-dimensional geometric shapes. ) S TAUGHT SSED v Form developed by ESU #6 Page - 4 -

5 York Public Schools Math, Advanced By the end of will apply coordinate geometry to locate and describe objects algebraically By the end of will apply right triangle trigonometry to find length and angle measures By the end of will apply geometric properties to solve problems By the end of will apply deductive reasoning to arrive at a conclusion. ) S TAUGHT SSED v Form developed by ESU #6 Page - 5 -

6 1.5 Probability and Statistics York Public Schools Math, Advanced By the end of will select a sampling technique to gather data, analyze the resulting data and make inferences By the end of will write equations and make predictions from sets of data By the end of will apply theoretical probability to represent problems and make decisions. ) Find and graph measures of central tendency. Apply counting methods and probability of overlapping, independent and dependent events S TAUGHT Early April MidApril SSED in Mid-April in Mid- April v group practice group probability activities Form developed by ESU #6 Page - 6 -

7 1.6 ALGEBRAIC CONCEPTS York Public Schools Math, Advanced By the end of will evaluate how transformations on data affect the measures of central tendency and variability By the end of will interpret data represented by the normal distribution and formulate conclusions By the end of will calculate probabilities of independent events By the end of will graph and interpret algebraic relations and inequalities. ) Writ solv graph and apply equations and inequalities S TAUGHT Aug.-May SSED v Various assessments. in Form developed by ESU #6 Page - 7 -

8 York Public Schools Math, Advanced 1.6. By the end of will solve problems involving equations and inequalities. ) Perform operations on and analyze graphs of polynomial functions. Solv graph and apply logarithmic functions. Use inverse functions and graph square root and cube root functions. Writ solv graph and apply equations and inequalities S TAUGHT Jan-Feb. April March-April Sept SSED Early Feb. End of April March. in early March Mid-Sept. v Form developed by ESU #6 Page - 8 -

9 York Public Schools Math, Advanced ) Solve quadratic functions by graphing, factoring, completing the squar and by applying the quadratic formula S TAUGHT Nov-Dec. SSED Mid-Dec. v By the end of will solve problems involving systems of two equations, and systems of two or more inequalities By the end of will solve problems using patterns and functions. Solve linear systems algebraically, by graphing and by applying matrix operations. Perform operations on rational functions Oct.-Nov May Mid-Nov. Mid-May Form developed by ESU #6 Page - 9 -

10 York Public Schools Math, Advanced (Additional) (Additional) ) Solv graph and apply quadratic relations and conic sections. Apply and graph exponential growth and decay functions. Perform operations on complex numbers S TAUGHT Feb.-March April Nov-Dec SSED Mid-March Mid-April Mid-Dec. v, internet resours es, Glogste r, parabola projects. Form developed by ESU #6 Page