November 2, 2010
UCHS
DIFFERENTIATED
INSTRUCTION:
LESSON OUTLINE
FOR ALGEBRA
Goals
 CLE 3102.3.8: Solve and understand solutions
of quadratic equations with real roots.
 CLE 3102.3.9: Understand and use
exponential functions to solve contextual
problems
Specific Learning Objectives
 SPI 3102.3.11: Analyze nonlinear graphs
including quadratic and exponential functions
that model a contextual situation
 SWBAT recognize graphs or data as quadratic or
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exponential.
SWBAT to collect and/or organize data.
SWBAT convert data to appropriate graph.
SWBAT analyze and summarize data from a
quadratic or exponential graph.
SWBAT relate word problems and real-world
situations to quadratic & exponential graphs.
Pre-assessment
 Informal assessment via background and
introductory discussion & questions.
 Quick formal pre-test where students:
 Match data tables to appropriate graphs
 Label graphs as quadratic, exponential, or other
Link to Real World Applications
 Stress to students the importance of
problem-solving
 Stress to students the importance of criticalthinking
 Jobs using quadratics: computer techs,
engineers, HR, forestry, logging,
conservation, etc.
 Jobs using exponentials: chemists, bankers,
accountants, government, computer techs,
engineers, forestry, logging, conservation,
etc.
Group Instructional Activities
 Model/show examples of quadratic &
exponential functions.
 Model graphing of functions using a data
table by hand and with computer
program/graphing calculator.
 Model creating table of data from graphs by
hand and with computer program/graphing
calculator.
Differentiated Instruction:
Menu Overview
 List of different activities
 Students choose activities based on ability
level or interest: (grouped by teacher)
 Advanced student choose at least 4 activities
 Proficient student choose at least 3 activities
 Basic student choose at least 2 activities
 Below Basic student choose at least 1 activity
 Grades based on average of all activity grades
Differentiated Instruction:
Activity Menu
 Using data table draw graphs on graph paper.
 Walk-out giant example of graphs (outside,
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commons areas, gym, etc.)
Matching exercise with contextual situations and
appropriate graphs.
Using graphs create data tables.
Perform experiments to collect data and graph
results (experiments selected by teacher).
Research project where students find and explain
real-world uses of quadratic and exponential
functions/graphs.
Strategies for Re-teaching
 Monitor each group.
 Answer questions as needed.
 Have groups bring completed work to teacher for
immediate feedback & evaluation.
 Have students correct or re-work results based on
feedback.
 Repeat feedback and re-work process as
necessary.
Assessment Strategies
 Informal assessment during initial
instructional and group monitoring.
 Formal assessments are a culmination or
average of activity grades.
 Have students pick the results of one activity
to present to the class for final class
discussion and content assessment.
Closure
 Class discussion of group presentations
 Display work around room if appropriate
 Use tie-ins or transitions to lead into next unit