Measure, Shape and Space Dimension
Key Stage 3
Learning and Teaching Package on S1-5 Mathematics
Table of Contents
Foreword
Acknowledgements
I.
Learning Targets, Learning Objectives and Notes on Teaching
A.
Learning Targets
B.
Learning Objectives and Notes on Teaching (KS3)
C.
Learning Objectives and Notes on Teaching (KS4)
II.
Exemplars of Learning Activities
Exemplar 1
Estimation Strategies
Exemplar 2
Ways to Reduce Errors
Exemplar
3
Formula for the Areas of Circles
Exemplar
4
Accumulated Errors
Exemplar
5
Formula for Arc Length
Exemplar
6
Construction and Properties of Polyhedra
Exemplar
7
2-D Representations of Simple Solids
Exemplar
8
Rotational Symmetry about a Point
Exemplar
9
Reflectional and Rotational Symmetry in a Plane
Exemplar
10
Transformation on 2-D Shapes
Exemplar
11
Applications of Transformation in Daily Life
Exemplar
12
Minimal Conditions in Fixing a Triangle
Exemplar
13
Angles Associated with Parallel Lines and Intersecting Lines
Exemplar
14
Exterior Angles of Polygons
Exemplar
15
Tessellation in a Plane
Exemplar
16
Symmetries in 3-D Shapes
Exemplar
17
Nets and Solids
Exemplar
18
Limitation of Using 2-D Figures to Represent 3-D Solids
Exemplar
19
Applying the Idea of Transformation in Geometric Proofs
Exemplar
20
Lines in a Triangle
Exemplar
21
The Ancient Chinese Proofs on Pythagoras' Theorem
Exemplar
22
Properties of Various Types of Parallelograms
Exemplar
23
Constructing Squares
Exemplar
24
Mid-point Theorem
Exemplar
25
Transformation of Points in Coordinate Plane
Exemplar
26
Slopes of Straight Lines
Exemplar
27
Sine Ratio
Exemplar
28
Trigonometric Identities
III.
Appendixes
Appendix A
Nets for Some 3-D Solids
Appendix B
Template for Polygons
Appendix C
Tools in
Cabri Geometry II
Appendix D
Explanations on How to Play the Transformation Game
(To download the pdf files of the exemplars, click the titles.
To download the application files of the exemplars, click
.)
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