Ocean Mathematics Project
Activity C Shape Puzzles
Both you and your maths partner should try the following puzzles separately.
Time how long it takes you to solve each one.
Shape and Space
Word Problems
How can you fit 4 of these
remember to do
this separately
MATHS UNIT: SSM4 Extension
KEY OBJECTIVES: To solve word problems and investigate
in the context of shape and space.
into this
with no overlapping ?
Name .................................................................................. Maths Set ..................................... Date ..........................
Cut out the shapes on the information sheet to help you
and draw your solution.
Time taken:
Maths Partner ................................................................... Maths Teacher .....................................................................
Me ____________ minutes
My maths partner ______________mintutes
Words which will be used in this homework:
right angle, parallel, perpendicular, right angled triangle, scalene triangle,
trapezium, kite, pentagon, line symmetry, rotational symmetry
Explain as many as you can to the maths partner doing this homework with you.
Challenge
What is the largest number of extra squares that can be shaded to
make a pattern with no lines of symmetry?
Starter Activity
Aisha and Laura are looking at a square.
Aisha covers up part of the square and looks at what’s left.
She says ‘I’ve made a right angled triangle’
Feedback Sheet - please circle
Not at
all
1. Did you enjoy the homework ?
2. Did you find it difficult ?
3. How much did you discuss the homework ?
Parent
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Child
Parent
Child
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Parent
Child
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4. Who talked more ?
Mostly child
5.The learning objective of this homework was to
solve word problems and investigate in the context
of shape and space.
Do you think you can do this now?
Say which activity helped you most.
Laura covers up part of the square and
says “I’ve made a trapezium”
Very
Much
Mostly Parent
Use a piece of paper or a book to see what other
shapes you can make by covering up this square.
Show these to your maths partner and name them.
Can you make a pentagon ?
Draw your solutions on the squares.
60o
6. Any other comments
Page 4
Now see what shapes you can make by covering
up part of this right angled triangle.
Can you make a kite?
Draw your solution on the triangle.
C.1E
Year 7
C.1E
Page 1
Activity A
Activity B
This shape is called a pentomino. It is made with 5 squares.
In this diagram the lines in red are parallel to each other.
Describe to your maths partner what parallel means
and write your description here.
This pentomino has one line of symmetry and no rotational symmetry
Here is another pentomino.
It has no lines of symmetry
and rotational symmetry of order 2.
The centre of rotation has been marked
Look at the following photographs.
On each photograph use a coloured pen to draw
over all the lines which are parallel to the red line.
Question A1
Here are two more pentominoes.
Draw on their lines of symmetry.
Say if there are no lines of symmetry.
Here is an example;
The green lines have been
drawn parallel to the red line
Hint: There are
more than 10 and
fewer than 15
in total
Question A2
Use the grid below to draw all the other pentominoes.
Draw on all the lines of symmetry and state the order of rotational symmetry, marking the
centre of rotation
Note - every square must have at least one side touching another square
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reflections and rotations are not allowed so
and
count as one
On the photograph on the right, mark on lines
which are perpendicular to the red line.
Challenge: Can you draw a line perpendicular to the red line on each diagram?
Page 2
C.1E
C.1E
Page 3
Ocean Mathematics Project
Activity C Shape Puzzles
Both you and your maths partner should try the following puzzles separately.
Time how long it takes you to solve each one.
Shape and Space
Word Problems
How can you fit 4 of these
MATHS UNIT: SSM4 Core
KEY OBJECTIVES: To solve word problems and investigate
in the context of shape and space.
remember to do
this separately
into this
with no overlapping ?
Cut out the shapes on the information sheet to help you
and draw your solution.
Name .................................................................................. Maths Set ..................................... Date ..........................
Time taken:
Maths Partner ................................................................... Maths Teacher .....................................................................
Challenge
Me ____________ minutes
My maths partner ______________minutes
Words which will be used in this homework:
right angle, parallel, triangle, square, right angled triangle, trapezium, kite,
pentagon, line symmetry
Explain as many as you can to the maths partner doing this homework with you.
You will need: 10 coins, counters or buttons
Place them in the same position as the diagram and show your
maths partner how you would answer the following question;
Starter Activity
What is the smallest number of coins which need to be moved to
make the triangle point downwards?
Aisha and Laura are looking at a square.
Aisha covers up part of the square and looks at what’s left.
She says ‘I’ve made a right angled triangle’
Show using arrows which coins would move to where.
Feedback Sheet - please circle
Not at
all
1. Did you enjoy the homework ?
Feedback
Sheet
- please
2. Did you find
it difficult
? circle
3. How much did you discuss the homework ?
Very
Much
Parent
1
2
3
4
Child
Parent
Child
1
1
1
2
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4
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Parent
Child
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Laura covers up part of the square and says
“I’ve made a trapezium”
4. Who talked more ?
Mostly child
5.The learning objective of this homework was to
solve word problems and investigate in the context
of shape and space.
Do you think you can do this now?
Say which activity helped you most.
Mostly Parent
Use a piece of paper or a book to see what other
shapes you can make by covering up this square.
Show these to your maths partner and name them.
Can you make a pentagon ?
6. Any other comments
Page 4
Draw your solutions on the squares
C.1C
Year 7
C.1C
Page 1
Activity A
Activity B
This shape is called a pentomino. It is made with 5 squares.
In this diagram the lines in red are parallel to each other.
Describe to your maths partner what parallel means
and write your description here.
This pentomino has one line of symmetry
Here is another pentomino.
It has no lines of symmetry.
Question A1
Here are two more pentominoes.
Draw on their lines of symmetry.
Say if there are no lines of symmetry.
Look at the following photographs.
On each photograph use a coloured pen to draw
over all the lines which are parallel to the red line.
Here is an example;
The green lines have been drawn parallel to the red line
Question A2
Use the grid below to draw 5 more pentominoes.
Draw on all the lines of symmetry.
Note - every square must have at least one side touching another square
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�
reflections and rotations are not allowed so
and
Question A3 One pentomino has 4 lines of symmetry.
Page 2
C.1C
count as one
Draw it here.
Challenge: Can you draw a line perpendicular to the red line on each diagram ?
C.1C
Page 3
Ocean Mathematics Project
Activity C Shape Puzzles
Shape and Space
Word Problems
Both you and your maths partner should try the following puzzles separately.
Time how long it takes you to solve each one.
How can you fit 4 of these
MATHS UNIT: SSM4 Support
KEY OBJECTIVES: To solve word problems and investigate
in the context of shape and space.
remember to do
this separately
into this
with no overlapping ?
Name .................................................................................. Maths Set ..................................... Date ..........................
Cut out the shapes on the information sheet to help you
and draw your solution.
Time taken:
Maths Partner ................................................................... Maths Teacher .....................................................................
Me ____________ minutes
My maths partner ______________mintutes
Words which will be used in this homework:
parallel, triangle, square, right angled triangle, equilateral triangle,
trapezium, line of symmetry
Explain as many as you can to the maths partner doing this homework with you.
Challenge
Naeem says he has a way of drawing this shape without lifting his pen off
the paper and without drawing over a line twice.
Starter Activity
Show your maths partner Naeem’s method and make a dot on the
diagram to show the start point.
Feedback Sheet - please circle
Not at
all
1. Did you enjoy the homework ?
Feedback
Sheet
- please
2. Did you find
it difficult
? circle
3. How much did you discuss the homework ?
Very
Much
Parent
1
2
3
4
Child
Parent
Child
1
1
1
2
2
2
3
3
3
4
4
4
Parent
Child
1
1
2
2
3
3
4
4
Aisha and Laura are looking at a square.
Aisha covers up part of the square and looks at what’s left.
She says ‘I’ve made a right angled triangle’
Use a piece of paper or a book to see other shapes you
can make by covering up this square.
Show these to your maths partner and name
them. Can you make a pentagon ?
4. Who talked more ?
Mostly child
Mostly Parent
Draw your solution on the square.
5.The learning objective of this homework was to
solve word problems and investigate in the context
of shape and space.
Do you think you can do this now?
Say which activity helped you most.
Now see what shapes you can make by covering
up part of this trapezium
6. Any other comments
Page 4
C.1S
Year 7
C.1S
Page 1
Activity A
Activity B
A computer game called ‘Tetris’ uses shapes
called Tetrominoes,
In this diagram the lines in red are parallel to each other.
Describe to your maths partner what parallel means
and write your description here.
Tetrominoes are made up of 4 squares
for example
Look at the following photographs.
On each photograph use a coloured pen to draw
over all the lines which are parallel to the red line.
This tetromino has one line of symmetry
Here is an example;
The green lines have been drawn parallel to the red line
Question A1
How many lines of symmetry does this pentomino have?
Draw on all the lines of symmetry
Question A2
Use the grid below to draw 3 tetrominoes and show their lines of symmetry
(if there are any!)
Note - every square must have
at least one side touching another square
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Page 2
C.1S
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C.1S
Page 3
Ocean Mathematics Project
Activity C
Shape and Space
Word Problems
Example
The dots have been joined to make more triangles.
or
1
1
3
2
4
MATHS UNIT: SSM4 Booster
KEY OBJECTIVES: To solve word problems and
investigate in the context of shape and space.
2
3
Name ................................ Maths Set ..................................... Date .........................................
4
Maths Partner ............................................. Maths Teacher ..............................................................
Words which will be used in this homework:
square, right angled triangle, equilateral triangle
Explain as many as you can to the maths partner doing this homework with you.
Do not let the lines cross over
Starter Activity
�
Shade the shapes
Question C1
right angled traingle
red
square
blue
equilateral triangle
yellow
Join the dots to make
more triangles.
How many more triangles
can you make?
Number them.
Page 4
C.1B
Year 7
C.1B
Page 1
Activity B
Activity A
Symmetrical means something is the same on both sides
Colour the squares red and blue to make symmetrical patterns.
Parallel Lines
�
�
= parallel
�
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Symmetrical
Not Symmetrical
= not parallel
Tick (�) or cross (�) these lines
Example 1
Example 1
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Page 2
C.1B
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1)
2)
3)
4)
5)
6)
C.1B
Page 3