Independent Activity 1: It's my Properties!
Directions: Determine the properties of the following quadratic functions.
1. f(x) = -x2 + 121
2. f(x) = x2 - 2x - 3
3. f(x) = -3x? - 12x
4. f(x) = x + x -2
5. f(x) = x2 + 2x - 24
6. f(x) = (x + 3)2 - 5
7. f(x) = (x + 5)2 - 1
8. y = (x - 3)2 + 7
9. y= -(x - 2)2 - 1
10. y = (x + 1)2 + 1
Answers
Answer:
The Mathematics Standards of Learning Enhanced Scope and Sequence is a resource intended to help teachers align their classroom instruction with the Mathematics Standards of Learning that were adopted by the Board of Education in October 2001 (January 2008 for Algebra, Functions, and Data Analysis). The Mathematics Enhanced Scope and Sequence is organized by topics from and includes the content of the Standards of Learning and the essential knowledge and skills from the Curriculum Framework. In addition, the Enhanced Scope and Sequence provides teachers with sample lesson plans that are aligned with the essential knowledge and skills in the Curriculum Framework.
School divisions and teachers can use the Enhanced Scope and Sequence as a resource for developing sound curricular and instructional programs. These materials are intended as examples of how the knowledge and skills might be presented to students in a sequence of lessons that has been aligned with the Standards of Learning. Teachers who use the Enhanced Scope and Sequence should correlate the essential knowledge and skills with available instructional resources as noted in the materials and determine the pacing of instruction as appropriate. This resource is not a complete curriculum and is neither required nor prescriptive, but it can be a valuable instructional tool.
Data Used: Data obtained using the CBR™, Internet Web sites, surveys, experiments and data provided in tables.
Materials:
CBR™
Applications: EasyData™ and Transformation™ Application
Graphing calculator and links
Handout – Up to Speed
Handout – Investigating Slope, Equations, and Tables using the CBR™
Handout – See Starbuck Run
Handout – White Water Rafting on Silly Creek
May also need graph paper
Instructional Activities:
I. Introduction--Up to Speed
Students will acknowledge the average rate of change by discussing speed as miles per hour. If a car is set on cruise control, how far will it travel in 1 hour, 2 hours,
5 hours?
Concepts covered include:
domain and range;
scatter plots;
continuity;
function;
evaluation of a function for domain values;
independent and dependent variables;
rate of change (slope);
slope-intercept form of an equation;
linear regression;
transformations; and
direct variation.