Subject: xMath ☐Science
☐Social Studies ☐ELAR / Unit 01: Graphs, Attributes, and Applications of Functions / Week of: 08/21 – 08/25/2017
Monday / Tuesday / Wednesday / Thursday / Friday
TEKS: P.2D, P.2F, and P.2I CCRS: II D2, VII. B1, VII.B2, VIII., IX., and X. ELPS: c.1C, c.1E, c.2D, c.3B, c.4H, c.4K, and c.5G
We will… / Learn about classroom culture. / Review the key attributes of functions. / Review the key attributes of functions. / Explore more of the key attributes of functions. / Explore more of the key attributes of functions.
I will… / Explain the differences between rules, procedures, and expectations. / Analyze a graph to report the following attributes: domain, range, intercepts, maximum, and minimums. / Describe in interval notation where the function is increasing, decreasing, and remaining constant. / Evaluate a specific value of x given a function. / Determine the ways a function can be represented using (1) a graph, (2) a table, (3) an algebraic equation, and (4) a verbal description.
Materials: / Syllabus, Seating Charts, Do Now, Exit Ticket / Do Now, A 2-1 Notes and Assignment, Exit Ticket. / Do Now, A 2-1 Notes and Assignment, Exit Ticket. / Do Now, A 2-2 Notes and Assignment, Exit Ticket / Do Now, A 2-2 Notes and Assignment, Exit Ticket
Academic Vocabulary/Academic Review / Procedures, Rules, Champs, Expectations, Syllabus / Domain, Range, x-intercept, y- intercept, maximum, minimum, relative, absolute, attribute, characteristic / End behaviors, Interval notation, inequality notation, set notation, zeros, increasing, decreasing, interval.[ ], ( ), [ ), and ( ]. / Evaluate, discontinuity, negative f of x, f of negative x, asymptote / Multiple representations, models, function family, parent function
5 E Model / ☐Engage ☐Explore ☐Explain
☐Elaborate ☐Evaluate / ☐Engage ☐Explore ☐Explain
☐Elaborate ☐Evaluate / ☐Engage ☐Explore ☐Explain
☐Elaborate ☐Evaluate / ☐Engage ☐Explore ☐Explain
☐Elaborate ☐Evaluate / ☐Engage ☐Explore ☐Explain
☐Elaborate ☐Evaluate
Warm-Up / Icebreaker Activity / ACT Review / ACT Review / ACT Review / ACT Review
Detailed Activities / Do Now—Icebreaker
What are the procedures/rules/expectations of this class?
Syllabus
Algebra Review test / Do Now
Function Review Notes
Exit Ticket / Do Now
Function Review Notes Continued,
Function Review Assignment
Exit Ticket / Do Now
More Function Review Notes
Exit Ticket / Do Now
More Function Review Assignment
Exit Ticket
Essential Questions with Bloom’s Taxonomy/Costa’s Inquiry Level /
- Why is it important to differentiate between a rule and a procedure?
- How do rules and procedures help establish the classroom culture?
- Why is it important for everyone to help create the classroom constitution?
- How can you help uphold the classroom constitution?
- How can the domain and range of a function be determined and described?
- What determines what is considered is a key attribute? Why?
- How can the key attributes of a function be determined from multiple representations of the function?
- How can knowledge of the key attributes of a function be used to sketch the graph of the function
- How can the intervals where the function is increasing and decreasing be determined and described?
- How can the end behavior of a function be determined and described using infinity notation?
- Without using a calculator, how can you analyze an equation to determine the graph of the function?
- If you are given a set of data how would you determine the equation which satisfies it? For example: (0,0), (2,4), (-1,1), (-2,4), did you come up with f(x)= x2?
- What is the difference between –f(x) and f(-x)?
- What is a restricted domain?
- What makes a domain a restricted domain? For example do ALL rational functions have a restricted domain? Justify your answer.
- When asked to sketch a graph how does the characteristics of the function effect the sketching process?
- How can the function family be determined from a problem situation?
- What are the real-world meanings of the key attributes of a function model?
- How can problems be solved by analyzing function attributes and their real-world meanings?
- When given a situation how do you apply previous knowledge to finding a solution?
Technology Tools / ☐Teacher: Projector, Document Camera
☐Student: Calculator / ☐Teacher: Projector, Document Camera
☐Student: Calculator / ☐Teacher: Projector, Document Camera
☐Student: Calculator / ☐Teacher: Projector, Document Camera
☐Student: Calculator / ☐Teacher: Projector, Document Camera
☐Student: Calculator
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