Number Of Blocks Topics and Essential Questions REQUIRED Critical Thinking Lessons Additional Instructional Resources 10 blocks AFM.2 The student will be able to identify, graph, and write quadratic functions and to apply the concepts of quadratic functions to real-world models. OBJECTIVES: The student will be able to: Graph quadratic equations by using the vertex and axis of symmetry, vertex/standard form, and transformations. Select an appropriate strategy for solving a quadratic equation (factoring, completing the square, using the quadratic formula, or graphing). Recognize the solution(s) of a quadratic equation is/are the zero(s) of the function. Fit quadratic functions to data by using algebra and technology. Solve a quadratic equation over the set of complex numbers. Find domain, range, end behavior, symmetry of quadratic functions. Textbook Section 2.4 pp. 223-227 Textbook Section 2.7 pp. 263-267 Activities: Pennies in a Circle- Mathematical Investigations Number of points on circle vs Number of points drawn Mathematical Investigations Projectile motion Quadratic Functionsc2u4 Mathematical Investigations Shot put-Pacesetter Mathematics Rectangular Enclosures Fences- Pacesetter Mathematics Holding Pen Braking distance-Graphic Algebra Cost of operating a ship-Graphic Algebra Invention Kitchen Gadget - Cost versus profit of creating new invention- Graphic Algebra Sydney Harbor Bridge example- Graphic Algebra Falling objects- Graphic Algebra TI website: “Areas of Rectangles with Fixed Perimeter” Number Of Blocks Topics and Essential Questions REQUIRED Critical Thinking Additional Instructional Resources
and the composition of multiple functions. Functions will include exponential, logarithmic, and those that have domains and ranges that are limited and/or discontinuous. The graphing calculator will be used as a tool to assist in investigation of functions and to solve real world problems. OBJECTIVES: The student will be able to: Identify the domain, range, zeros, and inverse of a function presented algebraically or graphically. Distinguish between relations and functions that are expressed algebraically and graphically. Recognize restricted/discontinuous domains and ranges. Use interchange of variables to find the inverse of a function. Find the composition of two functions. Conversion between Celsius and Fahrenheit- Mathematical Investigations Mathematics Unit Conversions- Mathematical Investigations Kilometers/miles- Mathematical Investigations Cryptography – In coding & Decoding- Mathematical Investigations Textbook Section 4.1 p. 366 #53-54 Using a Number Box Cipher Code breaking- Math Smart Number Of Blocks Topics and Essential Questions REQUIRED Critical Thinking Lessons Additional Instructional Resources 10 blocks AFM.5 The student will be able to identify, graph, and write exponential and logarithmic functions and to apply the concepts of exponential and logarithmic functions to real world models. OBJECTIVES: The student will be able to: Recognize general shapes of exponential and Textbook Exponential & Logarithmic Functions: Hurricane Fran or Activities: M & Ms/Penny Half-Life- Mathematical Investigations Bacteria: Log Rhythms, or Half a Log is Better than None! Zooming in Precalculus Investigations Buying a New Car Zooming in Precalculus Investigations
Number Of Blocks Topics and Essential Questions REQUIRED Critical Thinking Lessons Additional Instructional Resources 8 blocks AFM.6 The student will be able to identify, graph, and write rational and radical functions and to apply the concepts of rational and radical functions to real world models. OBJECTIVES: The student will be able to: Recognize general shapes of rational and radical functions. Find domain, range, and end behavior. This should include point, jump, and infinite discontinuities. Add, subtract, multiply, and divide rational expressions whose denominators are monomials or polynomial expressions. Simplify a rational expression with common monomial or binomial factors. Recognize and simplify a complex fraction. Solve equations containing rational expressions both algebraically and graphically. Convert from radical notation to exponential notation, and vice versa. Simplify radical expressions. Add, subtract, multiply, and divide radical expressions. Do not require rationalizing the denominators. Solve equations containing radical expression both algebraically and graphically. Fit rational and radical functions to data by using algebra and technology. Planning a Summer Camp- Pacesetter Mathematics Activities: Weather Balloon Take-off- Graphic Algebra Sharing Chocolates- Graphic Algebra Area of a Farm Field- Graphic Algebra Scuba Diving- Graphic Algebra Wind Chill (Chilly Today, Hot Tamale) Zooming in Precalculus Investigations Cost/Benefit Professor Rust with RUBRIC- Mathematical Investigations Textbook Section 3.5 pp. 342-344 Average Cost #53-54