Solving Linear Equations: Prentice Hall Lesson # 1-4; 3-1,2,3; 3-6; 5-1 thru 4; 6-1, 2. Graphing Linear Equations: PH Lesson 1-4

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1 9-12 Achievement/Math: Algebra I Goal A: Algebra I: [Student] will complete Algebra I assignments which address content with greater depth and higher levels of complexity as evidenced by mastery of [1/2/3/4/5/6/7/8/9/10] out of [1/2/3/4/5/6/7/8/9/10] of the following objectives: Performance Objectives Units/Topics/Activities Instructional New Mexico State Standard/Benchmarks 1. [Student] will analyze and graph linear equations and inequalities. Solving Linear Equations: Prentice Hall Lesson # 1-4; 3-1,2,3; 3-6; 5-1 thru 4; 6-1, 2 Graphing Linear Equations: PH Lesson 1-4 Analyzing probability, measure of central tendency, and range: PH Lesson 1-5, 1-6 Evaluate & simplify Simplify & combine Classify Distinguish between Determine domain & range Determine relationships Use simulations Solve multi-step equations Utilize linear expressions and equations Solve linear inequalities Translate verbal expressions to algebraic formulae Calculate percentage Estimate the rate of change Analyze effects of change Translate among functions Create linear equations Math Standard 2 : 9-12 ALGEBRA, FUNCTIONS, AND GRAPHS: Students will understand algebraic concepts and applications. Benchmark A: Represent and analyze mathematical situations and structures using algebraic symbols. PO: 2, 8, 10, 1, 6, 17, Benchmarks B: Understand patterns, relations, functions, and graphs. - PO: l, 3, Math Page 1

2 Performance Objectives Units/Topics/Activities Instructional New Mexico State Standard/Benchmarks 2. [Student] will evaluate the validity of the reasoning of an argument about algebraic situations that involve rational, radical, and polynomial functions. To be determined by general education teacher 3. [Student] will demonstrate appropriate use of imaginary and complex numbers and a clear understanding of the applications of the four basic operations. To be determined by the general education teacher. Independent Study Discussion Group Projects Socratic Discussion & Questioning Inquiry Brainstorming Debate Role Playing Investigation Autonomous Learning Writing Process Simulation Case Studies Bibliotherapy To be determined by the general education teacher Math Standard 2: 9-12 ALGEBRA, FUNCTIONS, AND GRAPHS: Students will understand algebraic concepts and applications. Benchmark A: Represent and analyze mathematical situations and structures using algebraic symbols. -PO: 17, 4, 9-5, 6,7, 10-3 thru 10-6, l1-1, 11-3, Benchmark B: Understand patterns, relations, functions, and graphs. - PO: 1, 12, 9-12 Benchmark C: Use mathematical models to represent and understand quantitative relationships. - PO 2, 11, 9-12 Benchmark D: Analyze changes in various contexts. PO- 2, Math Standard 2: 9-12 ALGEBRA, FUNCTIONS, AND GRAPHS: Students will understand algebraic concepts and applications. Benchmark A: Represent and analyze mathematical situations and structures using algebraic symbols. PO17, PO14, PO Math Page 2

3 Performance Objectives Units/Topics/Activities Instructional New Mexico State Standard/Benchmarks 4. [Student] will evaluate expressions containing exponents and radicals. To be determined by the general education teacher To be determined by the general education teacher Math Standard 2: 9-12 ALGEBRA, FUNCTIONS, AND GRAPHS: Students will understand algebraic concepts and applications. Benchmark A: Represent and analyze mathematical situations and structures using algebraic symbols. PO4, PO16, PO7, 9-12 Benchmark C: Use mathematical models to represent and understand quantitative relationships. PO Math Page 3

4 9-12 Achievement/Math: Geometry Goal B: Geometry: [Student] will complete Geometry assignments which address content with greater depth and higher levels of complexity as evidenced by mastery of [1/2/3/4/5/6/7/8/9/10] out of [1/2/3/4/5/6/7/8/9/10] of the following objectives: Performance Objectives Units/Topics/Activities Instructional New Mexico State Standard/Benchmarks 01. [Student] will describe and make connections between geometry and other areas of mathematics. 02. [Student] will describe the process of finding measurements by using increasingly accurate approximations of area, including upper and lower bounds. 03. [Student] will describe and apply the use of subdivision of figures to calculate the perimeter and areas of irregular figures. 04. [Student] will identify and describe the appropriate shapes and figures in problem situations involving plane figures. Such as circles and polygons, including trapezoids, parallelograms, pentagons, and hexagons; parallel and perpendicular lines; and solid figures. Math Standard 3: 9-12 GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications. Benchmark A: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. PO1. Interpret and draw two-dimensional objects and find the area and perimeter of basic figures (e.g., rectangles, circles, triangles, other polygons [e.g., rhombi, parallelograms, and trapezoids]). GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications. PO 2. Find the area and perimeter of a geometric figure composed of a combination of two or more rectangles, triangles, and/or semicircles with just edges in common. GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications. PO 2. Find the area and perimeter of a geometric figure composed of a combination of two or more rectangles, triangles, and/or semicircles with just edges in common. GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications.po3. Find and use measures of sides and interior and exterior angles of triangles and polygons to classify figures (e.g., scalene, isosceles, and equilateral triangles; rectangles [square and non-square]; other convex polygons) Math Page 4

5 Performance Objectives Units/Topics/Activities Instructional 05. [Student] will identify the Pythagorean theorem and the difference between and triangles and numerical ratios. 06. [Student] will describe right triangles, right-triangle relationships, and solid figures, including their characteristics, attributes, and properties. 07. Describe problem situations involving surface area, volume, weight, mass, and capacity, and identify appropriate problemsolving strategies for such situations. 08. [Student] will solve both abstract and applied problems involving surface area, volume, weight, mass, and capacity. New Mexico State Standard/Benchmarks GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications. PO3. Find and use measures of sides and interior and exterior angles of triangles and polygons to classify figures (e.g., scalene, isosceles, and equilateral triangles; rectangles [square and non-square]; other convex polygons). GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications. PO3. Find and use measures of sides and interior and exterior angles of triangles and polygons to classify figures (e.g., scalene, isosceles, and equilateral triangles; rectangles [square and non-square]; other convex polygons). GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications. PO4. Interpret and draw threedimensional objects and find the surface area and volume of basic figures (e.g., spheres, rectangular solids, prisms, polygonal cones), and calculate the surface areas and volumes of these figures as well as figures constructed from unions of rectangular solids and prisms with faces in common, given the formulas for these figures. GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications.. PO4. Interpret and draw threedimensional objects and find the surface area and volume of basic figures (e.g., spheres, rectangular solids, prisms, polygonal cones), and calculate the surface areas and volumes of these figures as well as figures constructed from unions of rectangular solids and prisms with faces in common, given the formulas for these figures Math Page 5

6 Performance Objectives Units/Topics/Activities Instructional 09. [Student] will investigate how the concept of scale and conversions involving measures of length, area, and volume interact. 10. [Student] will construct arguments using models and informal reasoning, and using laws of logic, conditional statements, postulates, and theorems, to justify conclusions based on geometric relationships, such as similarity and congruence 11. [Student] will identify and correct errors in reasoning, within the geometric axiomatic systems, using laws of logic, conditional statements, postulates, and theorems to justify conclusions based on geometric relationships, such as similarity and congruency. New Mexico State Standard/Benchmarks GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications.. PO4. Interpret and draw three-dimensional objects and find the surface area and volume of basic figures (e.g., spheres, rectangular solids, prisms, polygonal cones), and calculate the surface areas and volumes of these figures as well as figures constructed from unions of rectangular solids and prisms with faces in common, given the formulas for these figures. GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications.po7. Write geometric proofs (including proofs by contradiction), including: theorems involving the properties of parallel lines cut by a transversal line and the properties of quadrilaterals theorems involving complementary, supplementary, and congruent angles theorems involving congruence and similarity the Pythagorean theorem (tangram proof) GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications. PO7. Write geometric proofs (including proofs by contradiction), including: theorems involving the properties of parallel lines cut by a transversal line and the properties of quadrilaterals theorems involving complementary, supplementary, and congruent angles theorems involving congruence and similarity the Pythagorean theorem (tangram proof) 9 12 Math Page 6

7 9-12 Achievement/Math-Algebra II Goal A: Algebra II: [Student] will complete Algebra II assignments which address content with greater depth and higher levels of complexity as evidenced by mastery of [1/2/3/4/5/6/7/8/9/10] out of [1/2/3/4/5/6/7/8/9/10] of the following objectives: Performance Units/Topics/Activities Instructional New Mexico State Standard/Benchmarks Objectives 1. [Student] will simplify square roots and cube roots with monomial radicands that are perfect squares or perfect cubes. 2. [Student] will calculate powers and roots of real numbers, both rational and irrational. 3. [Student] will analyze and describe middle and end (asymptotic) behavior of linear, quadratic, and exponential functions, and sketch the graphs of functions. 4. [Student] will calculate powers and roots of real numbers, both rational and irrational. 1-2 Simplifying monomial and binomial expressions 1-4 solve inequalities Solving and graphing absolute value equations and inequalities 2-5 absolute value graphs 2-7 absolute value inequalities Solving and graphing absolute value equations and inequalities 4-4 geometric transformations Analyzing parameter changes Math Standard 2: 9-12 ALGEBRA, FUNCTIONS, AND GRAPHS: Students will understand algebraic concepts and applications. Benchmark A. Represent and analyze mathematical situations and structures using algebraic symbols. Math Standard 2: 9-12 ALGEBRA, FUNCTIONS, AND GRAPHS: Students will understand algebraic concepts and applications. A. Represent and analyze mathematical situations and structures using algebraic symbols. Math Standard 2: 9-12 ALGEBRA, FUNCTIONS, AND GRAPHS: Students will understand algebraic concepts and applications. Benchmark B. B. Understand patterns, relations, functions, and graphs. Math Standard 2: 9-12 ALGEBRA, FUNCTIONS, AND GRAPHS: Students will understand algebraic concepts and applications. A. Represent and analyze mathematical situations and structures using algebraic symbols Math Page 7

8 Performance Objectives 5. [Student] will apply quadratic equations to physical phenomena (e.g., the motion of an object under the force of gravity. 6. [Student] will understand and apply basic concepts of probability. Units/Topics/Activities Instructional 5-5, 5-6, 5-7, 5-8 Solving quadratics by all methods Chapter 12 Construct and interpret various graphs, calculate and apply measures of central tendency and variability using technology New Mexico State Standard/Benchmarks Math Standard 2: 9-12 ALGEBRA, FUNCTIONS, AND GRAPHS: Students will understand algebraic concepts and applications. Benchmark B. Understand patterns, relations, functions, and graphs. Math Standard 5: 9-12 DATA ANALYSIS AND PROBABILITY: Students will understand how to formulate questions, analyze data, and determine probabilities Math Page 8

9 9-12 Achievement/Math:-Trigonometry/Intro to Calculus Goal D: Trigonometry/Intro to Calculus: [Student] will complete Trigonometry/Intro to Calculus assignments which address content with greater depth and higher levels of complexity as evidenced by mastery of [1/2/3/4/5/6/7/8/9/10] out of [1/2/3/4/5/6/7/8/9/10] of the following objectives: Performance Objectives 1. [Student] will graph trigonometric functions and their inverses and use trigonometric functions to solve triangles. 2. [Student] will apply trigonometry to vectors, polar coordinates, and complex numbers. Units/Topics/Activities Instructional New Mexico State Standard/Benchmarks Math Standard 3: (Grades 9-12) GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications. D. Use visualization, spatial reasoning, and geometric modeling to solve problems. Math Standard 3: (Grades 9-12) GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications. B. Specify locations and describe spatial relationships using coordinate geometry and other representational systems. 3. [Student] will graph and analyze conic sections problems (analytical geometry) Math Standard 3: (Grades 9-12) GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications. D. Use visualization, spatial reasoning, and geometric modeling to solve problems Math Page 9

10 Performance Objectives 4. [Student] will apply trigonometry to vectors, polar coordinates, and complex numbers. 5. [Student] will interpret sequences, series, and probabilities. Units/Topics/Activities Instructional New Mexico State Standard/Benchmarks Math Standard 3: (Grades 9-12) GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications. B. Specify locations and describe spatial relationships using coordinate geometry and other representational systems. Math Standard 5: 9-12 DATA ANALYSIS AND PROBABILITY: Students will understand how to formulate questions, analyze data, and determine probabilities. 6. [Student] will evaluate simple limits. Math Standard 3: (Grades 9-12) GEOMETRY AND TRIGOMETRY: Students will understand geometric concepts and applications. D. Use visualization, spatial reasoning, and geometric modeling to solve problems 9 12 Math Page 10

11 9-12 Achievement/Math Advanced Placement (AP) Calculus AB Goal E: AP Calculus AB: [Student] will complete AP Calculus [AB] [BC] assignments which address content with greater depth and higher levels of complexity as evidenced by mastery of [1/2/3/4/5/6/7/8/9/10] out of [1/2/3/4/5/6/7/8/9/10] of the following objectives: Performance Objectives Units/Topics/Activities Instructional New Mexico State Standard/Benchmarks 1. [Student] will describe the properties of functions, real numbers, limits, differentiation, and its applications, transcendental functions, integration, and its application. 2. [Student] will define the meaning of derivative and integral, and explain their relationship. 3. [Student] will communicate mathematically orally and in sentences, be able to explain problems and solutions and model a description of a physical situation with a function, a differential equation, or an integral. 4. [Student] will be able to determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement Math Page 11

12 9-12 Achievement/Math Advanced Placement (AP) Calculus BC Goal F: AP Calculus BC: [Student] will complete AP Calculus BC assignments which address content with greater depth and higher levels of complexity as evidenced by mastery of [1/2/3/4/5/6/7/8/9/10] out of [1/2/3/4/5/6/7/8/9/10] of the following objectives: Performance Objectives Units/Topics/Activities Instructional New Mexico State Standard/Benchmarks 1. [Student] will apply the properties of functions, real numbers, limits, differentiation, and its applications, transcendental functions, integration, and its application. 2. [Student] will apply the use of derivative and integral, and analyze their relationship. 3. [Student] will communicate mathematically, orally and in sentences, be able to explain problems and solutions and model a description of a physical situation with a function, a differential equation, or an integral. 4. [Student] will defend the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement Math Page 12