Lesson plan
Teacher`s name: Msc. Ing. Arian Martinez Montes de Oca
Session title
Integration
Date
Location
Learner group
Grade level 11
Duration
Learning aims
Enable students to:
40 minutes
Classroom
Group size
1-Develop their mathematical knowledge and skills in a way which encourages confidence and provides satisfaction and enjoyment.
2-Develop the abilities to analyze problems logically.
3-Acquire a range of mathematical skills, particularly those which will enable them to use applications of mathematics as a logical
and coherent subject.
4-Acquire the mathematical background necessary for further study in mathematics or related subjects.
Learning objectives
1-use definite integration to find:
– the area of a region bounded by a curve and lines parallel to the axes, or between a curve and a line or between two curves
– a volume of revolution about one of the axes.
Time
5 min
Content and teacher activity
Purpose: Introduce yourself, set
expectations and review the day`s
learning objective, skills check and
set the rules of the class.
Learner activity
-Before class starts, explain how to
find areas under a curve
Formative assessment
-Review assignment from previous
class
-Choose some student to answer.
Purpose. Provide students with key
content knowledge/skills needed to
achieve the day`s objective.
-Syllabus
-Pure Mathematics for Cambridge
International AS and A level. Book 1
-Set of words (vocabulary in English)
related the teaching topic.
1- Quietly rise your hand to
speak unless we`re doing
pair or group work.
2- Look at the person whose
turn it is to speak so we all
feel respected
15min
Learning materials and resources
Students listen silently during this
explanation and take notes.
Rise some question about the
calculation if needed.
-Pure Mathematics for Cambridge
International AS and A level. Book 1
Time
Content and teacher activity
-Finding
areas
integration
using
definite
-Finding areas bounded by two
curves or a curve and a line.
-Volumes of revolution
15min
Purpose: Pair, group or whole-class
activity that allows students to
practice mastering the objective
Learner activity
Formative assessment
-(see example 11,12,14)
-(See examples 15,16,17)
-(See example 20,21,22)
Students work in pairs to answer
they thought prompts.
-Solve exercise 10.5…item 1,7,8,9
-Solve exercise 10.6
-Solve exercise 10.8…item 1
Choose a student from each team
and have him to explain his results to
the rest of the group.
Acknowledge student answers and if
applicable, add a few of your own.
Allow students to access their notes
Teacher circulates to make sure all
students are working
To assist those students’ team that
are not able to solve the exercises
on their own.
5min
Closing: Reflect with students on
their mastery of the objective, thank
them for their engagement, and
provide any final announcements
and assignment.
Learning materials and resources
``Can I have a volunteer to
summarize the thing that we learned
today?
Call 1-2 students as needed, then
thank students for their participation.
For students who need it, allow the
access to their notes.
Assignment: -Solve summary
exercises 11-15, 18,19 (Exam-style
questions)
-Worksheet
-Pure Mathematics for Cambridge
International AS and A level. Book 1