Unit: Quadratic Functions

Pacing Guide: AFDA
Time: Week # 3-4
Unit: Quadratic Functions
Essential Knowledge and Skills
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Identify the domain and range for a relation, given a set of ordered pairs, a table, or a graph.
For each x in the domain of f, find f(x).
Identify the zeros of the function algebraically and confirm them, using the graphing calculator.
Identify the domain, range, zeros, and intercepts of a function presented algebraically or
graphically.
Recognize restricted/discontinuous domains and ranges.
Recognize graphs of parent functions for quadratic functions (y=x2).
Identify x-intercepts (zeros), y-intercepts, symmetry, intervals for which the function is increasing
or decreasing, points of discontinuity, and maximum and minimum points, given a graph of a
function.
Describe continuity of a function on its domain or at a point.
Express intervals using correct interval notation and/or a compound inequality.
Write an equation of a line when given the graph of a line.
Write the equation of a quadratic function in (h, k) form given the graph of the parent function and
transformation information. (y = a(x-h)2 + k)
Describe the transformation from the parent function given the equation written in (h, k) form or
the graph of the function.
Given the equation of a function, recognize the parent function and transformation to graph the
given function.
Recognize the vertex of a parabola given a quadratic equation in (h, k) form or graphed.
Describe the parent function represented by a scatter plot.
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Vocabulary
axis of symmetry, continuous functions, discontinuous functions, domain, range, end behavior, family of
functions, function, function notation, maximum, minimum, parent function, parabola, practical domain,
practical range, quadratic function, symmetry, transformation, vertex, x-intercept (horizontal intercept) yintercept (vertical intercept), zeros,
Resources and Activities
Primary:
● Activities:
○ What Goes Up (use a ball instead of a cart)
http://education.ti.com/calculators/downloads/US/Activities/Detail?id=3966
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Ball Drop (drop a ball and collect data with CBL)
http://www.cpet.ufl.edu/bestpractices/PDF/Physical%20Science/Motions%20of%20Objects/
Working%20with%20the%20Quadratic%20Equation%20as%20a%20Function%20of%20Projectile%20Motion.
pdf
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Quadratic CBR Exploration p. 31-36 in AFDA Scope and Sequence
Journal Entry: Sketch Graphs of Quadratic Functions (included)
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Worksheets
○ Glencoe Algebra I, Lesson 10-1 Enrichment, Page 584
○ AFDA Scope and Sequence pages 50-56 for additional practice.
Secondary:
● Notes Template (included)
● Book Work: Algebra, Functions, and Data Analysis, How Can I Practice, Pages 465-472
● Algebra, Functions, and Data Analysis, Pages 412-415
Assessment
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Algebra, Functions, and Data Analysis, Gateway Review, Pages 519-522
Notes
Start with an introductory activity to hook the students, teach the content, follow up with additional
activities.
All activities can be done with a TI-83 or 84 and CBL.
Get Hiker and Ball Drop programs for the TI-84 plus to make data collection easier.
For better results use the bleachers and not a stairwell to collect data from falling objects.