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5E Learning cycle – with sample lesson

5E Learning cycle – with sample lesson

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Page 1: 5E Learning cycle – with sample lesson

5E Learning cycle – with sample lesson

Page 2: 5E Learning cycle – with sample lesson
Page 3: 5E Learning cycle – with sample lesson
Page 4: 5E Learning cycle – with sample lesson
Page 5: 5E Learning cycle – with sample lesson
Page 6: 5E Learning cycle – with sample lesson
Page 7: 5E Learning cycle – with sample lesson
Page 8: 5E Learning cycle – with sample lesson
Page 9: 5E Learning cycle – with sample lesson
Page 10: 5E Learning cycle – with sample lesson
Page 11: 5E Learning cycle – with sample lesson
Page 12: 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.

Page 13: 5E Learning cycle – with sample lesson

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.

Page 14: 5E Learning cycle – with sample lesson

Step 1: EngageActivity should: focus attention stimulate thinking generate interest access/build prior knowledge frame the setting for learning

Page 15: 5E Learning cycle – with sample lesson

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.

Page 16: 5E Learning cycle – with sample lesson

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.

Page 17: 5E Learning cycle – with sample lesson

Step 2: ExploreAllows time for students to: experience think & reflect probe & inquire collect information & question test & make decisions establish relationships & understandings make connections

Page 18: 5E Learning cycle – with sample lesson

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.

Page 19: 5E Learning cycle – with sample lesson

Step 3: Explain

Allows students to: analyze thinking communicate new understanding reflect and clarify modify new understandings

Page 20: 5E Learning cycle – with sample lesson

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.

Page 21: 5E Learning cycle – with sample lesson

Extend

Students expand and extend what they have learned.

The instructor expands and extends the basic ideas to related and perhaps more challenging problems.

Page 22: 5E Learning cycle – with sample lesson

Step 4: ElaborateAllows students to: expands and solidifies student thinking

applies thinking to a real-world situation

constructs, communicates, deepens new understanding

Page 23: 5E Learning cycle – with sample lesson

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.

Page 24: 5E Learning cycle – with sample lesson

Evaluate

Evaluation is ongoing, and by this time the instructor should know how the students have learned.

Traditional forms of assessment are administered.

Page 25: 5E Learning cycle – with sample lesson

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

Page 26: 5E Learning cycle – with sample lesson

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.

Page 27: 5E Learning cycle – with sample lesson

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.

Page 28: 5E Learning cycle – with sample lesson

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.

Page 29: 5E Learning cycle – with sample lesson

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.

Page 30: 5E Learning cycle – with sample lesson
Page 31: 5E Learning cycle – with sample lesson

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

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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

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Pair A

Pair B

Pair C

Angles Worksheet

Page 34: 5E Learning cycle – with sample lesson

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.

Page 35: 5E Learning cycle – with sample lesson

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

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A

B

CD

Activity Worksheet for 45o

Page 37: 5E Learning cycle – with sample lesson

Unit angles (45o and 30o)

4 5 o

3 0 o

3 0 o4 5 o

Page 38: 5E Learning cycle – with sample lesson

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?

Page 39: 5E Learning cycle – with sample lesson

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.

Page 40: 5E Learning cycle – with sample lesson

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.

Page 41: 5E Learning cycle – with sample lesson
Page 42: 5E Learning cycle – with sample lesson

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.

Page 43: 5E Learning cycle – with sample lesson

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?

Page 44: 5E Learning cycle – with sample lesson

Many Angles Worksheet

1

2

3

45

67

8

91 0 11

Page 45: 5E Learning cycle – with sample lesson

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.

Page 46: 5E Learning cycle – with sample lesson

Vocabulary

Angle Unit Angle Protractor Acute angle Obtuse angle

Complementary angles

Supplementary angles