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Number
Algebra
Data Handling
Answers
to Print Offs
Animal Weigh In Game
This game requires knowledge of the metric and a non-metric
system of mass commonly used in the United Kingdom (UK).
The latter is often called the Imperial System.
Level 1
Digital scales are used throughout this level. To work
comfortably on this game the student should have a knowledge
of gram (g) and kilogram (kg) in the metric system as
well as ounces (oz) and pounds (lb) in the UK system.
Students should be aware of the following:
1000 g = 1 kg
16 oz = 1 lb
(National Curriculum Shape and Space Level 3 to
4).
Level 2
Analogue scales are used throughout this level. The
scales are divided into 8 parts. To work comfortably
on this game the student should extend their knowledge
of the UK system to stone (st). Students should be aware
that:
14 lb = 1 st
(National Curriculum Shape and Space Level 4 to 5).
Level 3
Analogue scales are used throughout this level. The
scales are all divided into 10 parts.
Students should extend their knowledge of the UK system
to ton and the metric system to metric tonnes (tonnes).
Students should be aware that:
40 st = 1 ton
1000kg = 1 tonne
Conversion from the metric to the UK system is introduced
and multiplication factors are given for:
- kilograms to stone, multiply kg by 0.16 to give
st
- stone to kilograms, multiply st by 6.4to give kg
- tons to stone, multiply t by 160 to give st
Tons and metric tonnes are considered to be the same mass
(National Curriculum Shape and Space Level 5 to 6).
Estimation Print Offs
Practise with using metric and UK measures (Imperial measures)
is offered on these sheets. Simple conversions between
the two systems are used at Level 3.
Level 1
The lengths, mass and capacity of some common containers
are estimated in metric units. The student should have
access to some of the containers in order to make comparisons
(National Curriculum Shape and Space Level 3).
Level 2
This is a familiar situation where the quantities in a
recipe are changed to provide for a larger number of people.
Metric and UK systems are used but they occur in separate
recipes (National Curriculum Shape and Space Level
3, Number and Algebra Level 5).
Level 3
Comparisons are made between cars. The student is involved
in reading tables of data and calculating with metric
and UK units of length and capacity (National Curriculum
Shape and Space Level 3, Number and Algebra Level 5).
Bathroom Tiles Game
This game can be used to extend a basic understanding
of rotation, reflection and translation.
Level 1
The transformations are reflections and rotations. The
designs are all "flowers" with line symmetry. Knowledge
of angles at a point is necessary to follow the instructions
precisely. The blue "petal" must be rotated or reflected
to the position of the red.
There are 5, 6 or 8 "petals" on the flower designs and
the mirror lines used are restricted to the x-axis, the
y-axis and the lines y = -x and y = x (National Curriculum
Shape and Space Level 5).
Level 2
The transformations are reflections, rotations and translations.
The mirror lines used are restricted to the lines of the
form x = c and y = d, where c and d are whole numbers.
Centres of rotation are described by the co-ordinates.
The angle of rotation is always 180º. Translations are
described by the number of moves in one of the directions:
left, right, up or down (National Curriculum Shape
and Space Level 5 to 6).
Level 3
The transformations are combinations of two of the following:
- reflection in lines of the form x = c and y = d, where
c and d are whole numbers
- rotations with the centre of rotation at (2,1), restricted
to angles of 90º and 180º
- translation described as horizontal and vertical with
the direction given as a positive or negative integer
(National Curriculum Shape and Space Level 6 to 7).
Transformation Board Game Print Offs
These print offs require knowledge of transformations.
Dice and counters are needed to play each game. Tracing
paper and mirrors may be used by some players.
Level 1
Skills with reflection and rotation are used to move on
a circular board. The moves are dictated by a throw of
a dice and the instructions printed on the sections. The
mirror lines used are always the x-axis and y-axis and
rotations are 90º or 180º about the centre of the board
(National Curriculum Shape and Space Level 4 to 5).
Level 2
The square board game has all the properties of Level
1 and some more.
Reflection is in lines of the form x = c and y = d, where
c and d are whole numbers. Rotation may be of 90º, 180º
or 270º about different centres, which are described by
their co-ordinates. Translations are introduced which
are described as a number of steps to the left or right
or up or down (National Curriculum Shape and Space
Level 5 to 6).
Level 3
This has all the properties of Level 2 with a combination
of two transformations (National Curriculum Shape and
Space Level 6 to 7).
| Shape,
Space & Measure - National Curriculum |
| Curriculum
Tier |
3 |
4 |
5 |
6 |
7 |
8 |
| Animal
Weigh In |
Level
1 |
Level
1
Level 2 |
Level
2
Level 3 |
Level
3 |
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| Estimation |
Level
1
Level 2
Level 3 |
Level
2
Level 3 |
Level
3 |
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| Bathroom
Tiles |
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Level
1
Level 2 |
Level
2
Level 3 |
Level
3 |
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| Transformation |
|
Level
1 |
Level
1
Level 2 |
Level
2
Level 3 |
Level
3 |
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