SB 149 IGC ALGEBRA I Adapted from Houston ISD Curriculum

Transcription

1 SB 149 IGC ALGEBRA I Adapted from Houston ISD Curriculum EOC Project: Create Your Own City Map As a city planner, you have been asked to create a street-map and master plan for a new sub-division that is being developed. Your final product must be represented on a coordinate plane and include all of the guidelines and requirements listed below. Project guidelines: All streets must be labeled with the name of the road. Buildings and landmarks must be labeled. Lines cannot be horizontal or vertical unless otherwise denoted. Each of the following community requirements must be represented by a different equation. For instance, you may not use the same equation to satisfy two different requirements. The map should be easy to read and colorful be creative! Community Requirements: 1. Locate the City Central Square at the origin. 2. Locate a house for yourself that lies on a street that models the parent linear function. 3. Create at least one street modeled by a line with a positive slope. Write the correct equation for the line in function notation. Indicate the domain and range for the street. 4. Create at least one street modeled by a line with a negative slope. Write the correct equation for the line in standard notation. Create a billboard that shows the table that corresponds to this linear equation (contains at least 4 points). 5. Create at least one street modeled by a line with a slope of 0. Write the correct equation for the line. Indicate the domain and range for the street. 6. Create at least one street modeled by a line with an undefined slope. Write the correct equation for the line. Indicate the domain and range for the street. 7. Plot the location for two public service buildings (Ex: Police station, fire station, hospital, etc.). You must calculate the slope between these two buildings by using only the slope formula. 8. Create a pair of streets that can be modeled by a pair of parallel lines. Write the equations for the streets in slope-intercept form. 9. Create a u-turn for a street or set of streets in your city modeled by a quadratic equation. Write the function that models this u-turn and provide the domain and range values. 10. Include a set of linear inequalities to represent a park in the city. 11. Create a hike and bike trail that models a quadratic function and write the equation of the function. Place restroom facilities and a water fountain at the roots of the trail s function. Place a bench at the vertex of the trail s function. 12. Plot points to represent where at least ten different businesses can be located within your city. Analyze how the points are dispersed across the city and determine the type of correlation (or association) modeled by the business locations. 13. Create two streets that will intersect. Write a system of equations for the streets and algebraically prove where the two lines intersect. Page 1 of 3

2 City Key Use the following template to record the required information for your city map. 1 Coordinates for City Central Square: 2 Coordinates of House location: Street Name: Linear parent equation: 3 Street Name: Function (function notation): 4 Street Name: Function (standard notation): Table on Billboard: x y 5 Street Name: 6 Street Name: 7 Coordinates for service building 1: Coordinates for service building 2: Slope calculation: 8 Street 1 Name: Street 1 Equation: Street 2 Name: Street 2 Equation: 9 Street Name: Page 2 of 3

3 10 Park name: Inequalities: 11 Trail name: Location of RR and Water 1: Location of RR and 12 Coordinates of People: Type of correlation/association: 13 Street 1 Name: Street 1 Equation: Street 2 Name: Street 2 Equation: Solution: Algebraic solution: Page 3 of 3

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5 EOC Project: Create Your Own City Map - Rubric Alignment Project Requirements Scoring* Mathematical Attributes Represents coordinate plane, plots, and origin (1, 7, 12) ALGI.2B, 5B, 9A Identifies domain and range (3, 5, 6, 9) ALGI.2D Identifies correlation of data and attributes (12) Linear Functions ALGI.1D, 4C Writes and identifies equations correctly (2, 3, 4, 5, 6) ALGI.6A, 6B Calculates or uses slope correctly (3, 4, 5, 6, 7) ALGI.1D, 7A Uses correct form of a linear equations (2, 3, 4) Linear Inequalities ALGI.1D Determines and uses linear inequalities correctly (10) ALGI.1D Represents inequalities correctly on the map (10) Systems of Linear Equations ALGI.8A, 8B Writes and uses correct system of linear equations (8, 13) ALGI.8A, 8B Determines correct intersection or none (8, 13) Quadratic Functions ALGI.10B Writes a quadratic equation (9, 11) ALGI.10B Identifies or calculates appropriate roots (11) ALGI.9D Identifies or calculates appropriate vertex (11) City Map Key Follows guidelines Demonstrates accurate mathematical understanding Professional Representation Demonstrates sufficient progress on project development Demonstrates high standards for quality and neatness Produces creative and innovative map Correlates work to the map Turns in on time * Shows complete understanding of the required mathematical The solution completely address all mathematical components presented in the task. Shows nearly complete understanding of required mathematical The solution addresses almost all mathematical components presented in the task. There may be minor errors. Shows some understanding of required mathematical The solution addresses some, but not all mathematical components presented in the task. Shows limited or no understanding of the problem, perhaps only recopying the given data. The solution addresses none of the mathematical components required to solve the task.