Beaconhouse School System
Qasimabad, Branch, Hyderabad
Mathematics Curriculum Weekly Planning Sheet
Class: V Topic: Polygons and Polyhedra/ Surface Area and Volume Date: 17th March, 2018 to 24th March, 2018
Day Learning Outcome ICT Homework Resource
Classify different types of polyhedra
Day 1 (pyramids, cubes and prisms)
Identify rotational symmetry in 2 D
Day 2 shapes.
Identify order of symmetry of 2D .
shapes.
Calculate surface area of cuboids (for
Day 3 dimensions in whole numbers).
Calculate volume of cuboids by
Day 4 formula (for dimensions in whole
numbers)
HM/SM/SC: Miss Shamaila Irfan Coordinator: _________________________ Teacher: Miss Anza Memon
Beaconhouse School System
Subject: Mathematics Class: 5 Topic: Polygons and Polyhedra
Learning Outcome Plan/Methodology Time Resources Assessment
Students should be Mental Math (Whole Class): Teacher will paste pictures of two polygons (one regular Students will be
able to: and the other irregular) and ask class to write as many properties as they can by 5min assessed on their
looking at those pictures on their mini white board. ability to:
Starter Activity (Individual Work): Students will be writing in their notes what they feel is
Classify different the difference between 2-D and 3-D objects. They are instructed to use drawings and
types of polyhedra examples to help explain the difference. I chose to do this because I wanted to assess prior
understanding or hook them in for today’s learning. I’m going to give students some time to
(pyramids, cubes write and think about 2-D vs 3-D objects. Students can then pair up to discuss their thoughts
and prisms) on the subject. 25min Classify different
types of polyhedra
(pyramids, cubes
and prisms) through
Main Teaching (Whole class): I will be discussing the vocabulary of three dimensional hands on activity,
objects. This vocabulary is important because they will need to identify prisms and class discussion and
pyramids by their faces, bases, edges, and vertices. Once we go over the vocabulary we written work.
will be doing some practice at identifying the solids by these features. We will also be 15 min
looking at their nets to help us see the characteristics easier.
a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with
flat polygonal faces, straight edges and sharp corners or vertices.
25min
As a class, we will complete the Polyhedra Activity based on students observations.
For each polyhedron, I will ask students to share how many edges, faces and vertices
they counted. There are several students with each polyhedron who should be able
to confirm the count. 10min
As we complete the table, students may start to notice a pattern/rule.
Can you figure out a relationship between the number of faces, vertices and edges of
3-Dimensional Figures?
Students may observe that if we add the number of faces and vertices and subtract 2,
we will have the number of edges. This will lead to Euler's Formula.
Euler's Formula
F+V-2=E
Written Work (Individual work):
Plenary (Group Work): Where, in the real world, have you seen polyhedrons?
Subject: Mathematics Class: 5 Topic: Polygons and Polyhedra
Learning Plan/Methodology Tim Resources Assessment
Outcome e
Qasimabad Branch, Hyderabad
Strand: (1. Number and Algebra) 1.1 Whole Number Day: 1
Beaconhouse School System
Qasimabad Branch, Hyderabad
Strand: 2.0 Shape, Space and Measure Day: 2
Students should Mental Math (Whole Class): 5 Students will
be able to: min be assessed
Main Teaching (Whole class): If we turn an object round will it look the same? on their ability
Here is an example: to:
We have put a blob in one corner to show it turning round.
25
min
You see that apart from the blob the shape looks exactly the same in 1 and 3. We say that 15
this shape has got rotational symmetry of order 2. ( That just means that there are two min
positions in which it looks exactly the same.
Here is a letter with rotational order of two. Can you see why?
25
min
You could turn (rotate) the letter s around to its new position and you would not know it had
changed (we have put the blob on to show you).
10
min
Rotational symmetry is where you can turn an object so that it looks exactly the same. The
number of positions in which it looks exactly the same gives you its order of symmetry.
By definition, the number of times a shape fits onto itself when rotated is called the order of
symmetry.
Hence, we can see that the order of symmetry for this triangle is 3.
Now, this shape will only fits onto itself for 1 time after it is been rotated for 360o. Hence, the
order of symmetry is 1.
However, for any shape that has rotation symmetry of order 1, that shape is considered
as not having any rotational symmetry.
Hence, this shape has no rotational symmetry.
https://www.youtube.com/watch?v=blQjglPb1jw
https://www.youtube.com/watch?v=oBSIU-fcDSE tracing paper
Main Activity ( Group Activity):
Written Work (Whole Class):
Homework (Individual Work):
Plenary (Pair work):
Beaconhouse School System
Qasimabad Branch, Hyderabad
Strand: 2.0 Shape, Space and Measure Day: 3
Subject: Mathematics Class: 5 Topic: Polygons and Polyhedra
Learning Outcome Plan/Methodology Time Resources Assessment
Students should Mental Math (Individual Work): 5min Students will
be able to: 1. Ashley has a polyhedron whose faces are all congruent, and it has 4 vertices. Which solid does be assessed
Ashley have? on their ability
2. Jon has 2 cubes. Henry has a square pyramid. How many faces do they have all together? to:
3. How many edges does an octagonal pyramid have?
Students will have 5 minutes to answer the questions and then they will discuss their answers with
their group. If students are unsure about their answers, I will encourage them to use their notes to
Calculate surface help them. As a class we will review any unanswered questions.
area of cuboids 25min
(for dimensions Calculate
in whole Starter Activity: surface area
numbers). Students may have difficulty identifying the dimensions of the faces, especially for the triangular of cuboids
pyramids. It is important that they remember that the base and height always form a right angle. (for
dimensions
Main Teaching: What is area? Can we find the area of a polyhedron?
Students should recall that area is the amount of square units needed to cover a surface. Some students in whole
may think we can find the area of a polyhedron, so I will pose the following questions. numbers)
When we had 2 dimensional figures, we were able to find the area. What do you think it means to find activity and
the surface area of a polyhedron? class
Students will share their ideas. They may infer that since there are several faces to a polyhedron, we 15min discussion.
need to find the areas of those faces. I will explain that surface area is the sum of the areas of all outside
faces of a 3-D figure. We will work through some examples together, so students have an understanding
of how to organize their work. See Surface Area of Polyhedron Lesson for examples.
Plenary (Individual): To assess students' understanding of the concept of surface area, I will
ask a series of questions. 25min
When find the surface area of a polyhedron, will you ever be able to find the area of only one
face?
Students should consider a cube, where all the faces have the same area.
How can you organize your work to show the steps of find surface area?
Students may suggest drawing a net, labeling the faces, labeling their work, ...
When you have congruent faces, what is a shortcut? 10min
Students should suggest that you can multiply the area by the number of congruent faces?
When you find the area of all the faces, what should you do?
Student should remember to add the areas and label their answer square units.
Subject: Mathematics Class: 5 Topic: Polygons and Polyhedra
Learning Outcome Plan/Methodology Time Resources Assessment
Beaconhouse School System
Qasimabad Branch, Hyderabad
Students should be Mental Math (Whole Class): Students will be
able to: assessed on their
Starter Activity (Pair activity): 5min ability to:
Main Teaching ( Whole class):
Calculate volume of Written Work (Individual Work):
cuboids by formula
(for dimensions in 25min
Homework (Individual Work): Calculate volume
whole numbers)
of cuboids by
Plenary: formula (for
dimensions in
whole numbers)
through ICT
15 min activity and
written work.
25min
10min
Strand: 2.0 Shape, Space and Measure Day: 4
http://www.learner.org/interactives/geometry/prisms/
