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5E Learning cycle – with sample lesson
Using the 5E learning cycle
The lesson plan componentsEngageExploreExplainExtendEvaluate
It appears to be linearly ordered, but loops are often desired or required.
Engage
The instructor initiates this phase by asking well‑chosen questions, by a problem to be solved, or by showing something intriguing.
The instructor “engages” the student.
Step 1: EngageActivity should: focus attention stimulate thinking generate interest access/build prior knowledge frame the setting for learning
Explore
The exploration phase provides the opportunity for students to become directly involved with the key concepts of the lesson through guided exploration that requires them to probe, inquire, and question.
Exploration Activities Activities
where where students are students are given time to given time to think, plan, think, plan, manipulate, manipulate, investigate, investigate, and organize and organize
collected collected information.information.
Step 2: ExploreAllows time for students to: experience think & reflect probe & inquire collect information & question test & make decisions establish relationships & understandings make connections
Explain
The instructor, acting as teacher and facilitator, gives further explanation, making mathematically precise the notions involved.
The instructor add additional meanings or information, or correct terminology.
Step 3: Explain
Allows students to: analyze thinking communicate new understanding reflect and clarify modify new understandings
Explanation Activities where Activities where
students are students are involved in an involved in an
analysis of their analysis of their exploration. Their exploration. Their understanding is understanding is
clarified and clarified and modified through modified through
personal reflective personal reflective activities or activities or
teacher direction.teacher direction.
Extend
Students expand and extend what they have learned.
The instructor expands and extends the basic ideas to related and perhaps more challenging problems.
Step 4: ElaborateAllows students to: expands and solidifies student thinking
applies thinking to a real-world situation
constructs, communicates, deepens new understanding
Elaboration Activities that Activities that
provide provide opportunities opportunities to expand and to expand and solidify solidify understanding understanding of the concept of the concept and/or apply it and/or apply it to a real world to a real world situation.situation.
Evaluate
Evaluation is ongoing, and by this time the instructor should know how the students have learned.
Traditional forms of assessment are administered.
Step 5: Evaluate Activity which allows the teacher to assess
student performance and/or understandings of concepts, skills, processes, and applications
Activity which allows student to demonstrate evidence of understanding
Using the 5E learning cycle
In “techno-babble” it is a recursive cycle of distinctive cognitive stages of the tripod of expository, problem solving, and experiential learning.
Lessons can take several days or weeks to complete.
5E – The Theory
A novice learner has loosely integrated knowledge maps.
A advanced learner or expert possesses tightly integrated knowledge maps.
The more loops a learner makes through the recursive cycle of expository, problem solving, and experiential learning, the tighter is the knowledge map and the greater is the chance for ascending the ladder of understanding.
5E – What is it?
An organizational tool – like tab dividers in a binder – to involve students in the learning process
A teaching cycle based on the interactive exploration of a concept
A procedure that layers knowledge, partly discovered by students, and partly amplified by teachers.
5E – What is it?
Students build on former concepts in order to place the new ideas into their working framework of knowledge
A learning cycle that supports the building or accumulation of knowledge based on previously learned concepts.
5E – Learning Cycle – Lesson PlanSample
“What is an Angle?” Understanding and measuring
…adapted from “Making connections with Measurement: Grade 6” ESC IV, Houston, TX, 2005
What is an Angle? - Engage
Begin with the angles worksheet Distribute patty paper Prompt students to identify larger or
smaller of the angle pairs Trace the larger angle on patty paper and
compare
Pair A
Pair B
Pair C
Angles Worksheet
What is an Angle? - Engage
Questions:How did you determine the larger angle? What makes an angle larger?How do the rays help your determinationDoes the length of the rays impact your
determination?
Expect varied answers.
What is an Angle? - Explore
Distribute unit angles (45o and 30o) transparencies.
Distribute Activity Worksheets (45o and 30o)
Ask students to measure the angles in terms of multiples of the unit angles, wrt each unit and worksheet
A
B
CD
Activity Worksheet for 45o
Unit angles (45o and 30o)
4 5 o
3 0 o
3 0 o4 5 o
Typical Questions - Explore
What do you notice about the number of 45o , resp. 30o, required to measure each angle.
How do the numbers of units compare for each pair (A,B; A,C; A,D; B,C; etc)?
Which angles are twice another angle?
What is an Angle? - Explore
Distribute unit angles (10o and 5o) transparencies.
Distribute Activity Worksheets (10o and 5o) Ask students to measure the angles in
terms of multiples of the unit angles, wrt each unit and worksheet
Ask similar questions to previously.
What is an Angle? - Explore
Distribute protractors You may also wish to use 45o , resp. 30o, unit
protractors – if time permits. Distribute master activity sheet with assorted
angles. (not just unit angles and multiples) Ask similar questions to previously. Ask students to construct angles of various
sizes.
What is an Angle? – Explain
Can the protractor substitute for all the unit angles? Why?
Can the protractor measure angle we have seen?
Can the protractor measure every angle? Why or why not?
Explain/explore multiples of unit angles.
What is an Angle? – Extend
Distribute the Many Angles worksheet. Ask students to find angles that meet
various conditions.Angle less than 10o? Less than 25o? EtcPairs of angles complementary?
Supplementary?Which angles are greater than 60o? 180o?
Many Angles Worksheet
1
2
3
45
67
8
91 0 11
What is an Angle? – Evaluate
Ask students to construct angles of various sizes.
Ask students to measure select angles. Ask students to determine all acute
(obtuse) angles within a collection.
Vocabulary
Angle Unit Angle Protractor Acute angle Obtuse angle
Complementary angles
Supplementary angles