Applied Mathematics: Detailed Geometry Lesson Plans for Year 9 Class

This assignment presents a series of applied mathematics lesson plans designed for Year 9 students, focusing on the topic of geometry. The lesson plans cover various aspects of geometry, including the evaluation of open and closed figures, determination of shapes, calculation of area and volume of different shapes (triangle, square, circle, and rectangle), types of polygons, and properties of triangles. Each lesson plan outlines the intended learning outcomes, assessment methods (formative and summative), preparation activities, procedures, required resources, and reflection points. The assignment also includes a justification for the teaching methods employed, such as game-based learning, direct instruction, and personalized instruction, along with the use of ICT resources to enhance student engagement and understanding. The lesson plans are designed to integrate curriculum connections and biblical contexts, ensuring a holistic and engaging learning experience for the students.

Applied Mathematics

Table of Contents
Lesson plan 1:.........................................................................................................................1
Lesson plan 2..........................................................................................................................1
Lesson plan 3..........................................................................................................................2
Lesson plan 4:.........................................................................................................................3
lesson plan 5:.........................................................................................................................4
Justification.............................................................................................................................5
REFERENCES................................................................................................................................8

Lesson plan 1:
Learning Area: Mathematics Year Level: Year 9 Class Size: 40
Timing: 60 minutes
Topic: Introduction to Geometry
Curriculum Connections: MA5.5-1WM, MA5.2-2WM, MA5.9-17SV
Biblical Context: CV1: Our actual work matters to God, now and eternally
CV2: A rhythm of work and rest is essential to life.
CV3: Man is to use accurate weights and measures.
Intended
Learning
Outcomes
Student will learn about:
- Evaluation of closed and open figures.
- Determination of shapes and figures.
Assessment Formative Assessment:
Classroom assessment of Types of shapes
Summative Assessment:
A worksheet consisting of examination style questions on the topic.
Prep
(negotiation)
Preparation of PowerPoint presentation, teaching aids such as shapes and
figures.
Procedure Engagement:
Learning experiences:
Classroom Organization:
The classroom would be divided in groups of 4 students, one being the
monitor for the group.
Closure:
3-2-1 Quick Write:
 3 things you learned about the concept of geometry
 2 learned concepts that you are confident about
 1 thing that you have doubt in.
Resources Textbook, YouTube video's , shapes
Questions Types of shapes that student learnt during the lesson?
Reflection Discussion of different types of open and enclosed figures.
Evaluation Student will draw the open and closed figures in their notebook.
Lesson plan 2
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Learning Area: Mathematics Year Level: Year 9 Class Size: 40
Timing: 60 minutes
Topic: Area of closed figures
Curriculum Connections: MA5.5-1WM, MA5.2-2WM, MA5.9-17SV
Biblical Context: CV1: Our actual work matters to God, now and eternally
CV2: A rhythm of work and rest is essential to life.
CV3: Man is to use accurate weights and measures.
Intended
Learning
Outcomes
Student will learn about:
- Calculation of area of triangle, square, circle and rectangle through
formulas
Assessment Formative Assessment:
Classroom assessment of calculation of areas of different figures
Summative Assessment:
A worksheet with numerical questions on each shape.
Prep
(negotiation)
Preparation of a sheet of formulas, Youtube videos and an excel sheet of
calculation
Procedure Engagement:
 Introduction of areas of different shapes with the help of ruler
 Practical example of these shapes
 ICT- Use of the excel sheet to explain the usage of formulas in
different shapes.
Learning experiences:
Practice the usage of the formulas on different shapes with various
dimensions.
Classroom Organization:
The classroom would be divided in groups of 4 students, one being the
monitor for the group.
Closure:
A game of quiz with 4 questions for every group. This will help in
assessment of the learning.
Resources Textbook, you tube video's , shapes, ICT, quiz booklet
Questions Write formula's of rectangle, square, circle and triangle
Reflection Discussion of ways to understand and learn the formulas
Evaluation Calculation in areas in different problems related to shape
Lesson plan 3
Learning Area: Mathematics Year Level: Year 9 Class Size: 40
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Timing: 60 minutes
Topic: Volume of shapes
Curriculum Connections: MA5.5-1WM, MA5.2-2WM, MA5.9-17SV
Biblical Context: CV1: Our actual work matters to God, now and eternally
CV2: A rhythm of work and rest is essential to life.
CV3: Man is to use accurate weights and measures.
Intended
Learning
Outcomes
Student will learn about:
- Calculation of volume of triangle, square, circle and rectangle
through formulas
Assessment Formative Assessment:
Classroom assessment of calculation of areas of different figures
Summative Assessment:
A worksheet with volume questions on each shape.
Prep
(negotiation)
Preparation of a sheet of formulas, You-tube videos and an excel sheet of
calculation
Procedure Engagement:
 Introduction of volume with the help of real shapes
 Practical example of these shapes
Learning experiences:
Understand the evolution of these formulas with the help of shape
Classroom Organization:
The classroom would be divided in groups of 4 students.
Closure:
A Classroom activity- Word problems related to the volume of different
shape.
Resources Textbook, Questions from internet, Things of different shape
Questions Write the volume formulas for circle, rectangle, square and triangle
Reflection The source of evaluation of these formulas, this would help the students in
understand the formula.
Evaluation Applying the formulas during the class and group discussions.
Lesson plan 4:
Learning Area: Mathematics Year Level: Year 9 Class Size: 40
Timing: 60 minutes
Topic: Types of polygons
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Curriculum Connections: MA7.8-1WM, MA5.89WM, MA5.9-17SV
Biblical Context: CV1: Our actual work matters to God, now and eternally
CV2: A rhythm of work and rest is essential to life.
CV3: Man is to use accurate weights and measures.
Intended
Learning
Outcomes
Student will learn about:
- Types of polygons
Assessment Formative Assessment:
Classroom assessment of recognizing the type of polygon
Summative Assessment:
A worksheet consisting of all the polygon. The student needs to identify
the shape.
Prep
(negotiation)
Preparation of PowerPoint presentation, teaching aids such as chalk, ruler
etc.
Procedure Engagement:
 Introduction to polygon
 Characteristics of different types of polygon
Learning experiences:
Identifying the type and characteristics of the polygon by the help of the
diagram.
Classroom Organization:
The classroom would be divided in groups of 4 students, one being the
monitor for the group.
Closure:
A quiz on the characteristics, the student needs to identify the polygon
with the help of characteristics mentioned in the question.
Resources Textbook, YouTube video's , Chalks, Ruler
Questions Types of polygons that student learnt in the classroom?
Reflection Discussion of different types of polygons based on the number of sides.
Evaluation Student will make a list in the tabular form with three columns, one for the
diagram, second for the name of the polygon and third for writing two
characteristics of the respective polygon.
Lesson plan 5:
Learning Area: Mathematics Year Level: Year 9 Class Size: 40
Timing: 60 minutes
Topic: Properties of Triangles
Curriculum Connections: MA7.6-4WM, MA7.78WM, MA7.16-17GV
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Biblical Context: CV1: Our actual work matters to God, now and eternally
CV2: A rhythm of work and rest is essential to life.
CV3: Man is to use accurate weights and measures.
Intended
Learning
Outcomes
Student will learn about:
- Types of triangles
- Properties of different triangles
Assessment Formative Assessment:
Classroom assessment of properties of a scalene, isosceles an equilateral
triangle.
Summative Assessment:
A worksheet consisting of the properties of right angled triangle.
Prep
(negotiation)
Preparation of PowerPoint presentation, A word document file
Procedure Engagement:
 Properties and congruency of Triangles
 Application of right angled triangle theorem
Learning experiences:
Understanding properties, theorems and congruency of triangles.
Classroom Organization:
This is an individual activity, every student will be individually provided
with the resources.
Closure:
A revision by performing the activities mentioned in the textbook.
Resources Textbook, Power point. MS Word
Questions Proof to the right angled theorem.
Explain the congruency of the triangle
Reflection A brief discussion about the difference in triangles
Evaluation Student is required to write the properties of every triangle that is
discussed during the class. Along with this they must be able to explain
the congruency and the Pythagoras theorem.
Justification
This unit is the discussion of the topic “Geometry” and is a integration of the ICT
resources, game based instructions and learning and direct instructions, methods that embrace
specialized instructions, formative and summative assessments and understanding by design
(Teaching methods, 2019) . These methods will represent the knowledge of student learning and
teaching learning and strategies. Specialized methods are the methods of learning by which
students will be benefited during their learning process and also they way they represents their
learning and the environment in which they are learning. The game based learning instruction
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methods is an effective method of learning for the students as it makes them learn faster and also
it is engaging. This is the learning strategy in which in the game activities and characteristics are
embossed with the learning activities. This is the best way to enhance the student learning.
Therefore, the teachers have thoughtfully adjusted the learning plans with the games in their
instructions to have effective learning and to meet students needs (Game Based Learning, 2019).
Also through this technique of teaching the teacher gets engaged with the students and is paying
attention to each student. Also this helps the teacher in building their creativity in learning and
teaching and games also motivates them to opt the learning that is direct and innovative for the
students to understand. Though it is creative techniques of teaching and learning but it is also
burden for the teacher as the teacher has to pre- plan activities and games, maintain it every
week, reward the students and all this increases their workload. Some mathematics is burden to
students but with game and learning the students show interest and are excited to learn and attend
the class.
Apart from this method of teaching and learning direct instruction method is also used
which is effective in mathematics as clears the concept in the minds of the students and also the
teaching become more easy and precise. With the personalized instruction methods the students
are able to connect mathematics with their everyday life examples. The topic like geometry has
huge scope for learning with the daily objects rather than textbooks. Therefore, teacher has
assigned the questions that are solved with basic understanding of daily life. The lesson plan
also has the activities where the students can utilize their creativity and interest in the geometry
and learn it with efficiency. The applications of the ICT resources such as power point
presentation, Excel, You- tube videos, allow the improvement of cognitive skills which benefits
students to effectively analyse the concepts of the mathematics in visual format. Assessments are
the powerful tool used in the lesson plan to evaluate the learning of the students. The
assessments assist the teachers in analysing their personal skills in the form of strengths and
weaknesses and the strengths of the students and students those are weak in learning. Formative
feedbacks are useful to both teachers and students in analysing the progress of their learning.
These methods will represent the knowledge of student learning and teaching learning and
strategies. Specialized methods are the methods of learning by which students will be benefited
during their learning process and also they way they represents their learning and the
environment in which they are learning. Thus, the applications of the teaching and learning
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methods, techniques such as game based learning, personalized learning are beneficial in
achieving desired teaching and learning goals.
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REFERENCES
Books and Journals
Yli-Panula, E., Jeronen, E. and Lemmetty, P., 2020. Teaching and learning methods in
geography promoting sustainability. Education Sciences, 10(1), p.5.
Moreno-Guerrero, A.J and et. al., 2020. E-learning in the teaching of mathematics: an
educational experience in adult high school. Mathematics, 8(5), p.840.
Voskoglou, M.G. and Salem, A.B.M., 2020. Benefits and Limitations of the Artificial with
Respect to the Traditional Learning of Mathematics. Mathematics, 8(4), p.611.
Lee, H and et. al., 2020. The effectiveness and features of formative assessment in US K-12
education: A systematic review. Applied Measurement in Education, 33(2), pp.124-140.
Teaching methods, 2019 [Online]. Available
through,<https://teach.com/what/teachers-know/teaching-methods/>
Game Based Learning, 2019, [Online]. Available through,<https://tophat.com/glossary/g/game-
based-learning/>
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