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What is Junior Space about?
What is Junior Space about?
The Junior Space topic is all about giving young people a set of maths and logic skills so they can solve real world problems.
By the end of the Space topic, students should know how to:
By the end of the Space topic, students should know how to:
reason about unknown angles in situations involving parallel lines and transversals and the interior and exterior angles of polygons
use the properties of similarity in two-dimensional shapes, including right-angled triangles, to find unknown lengths
use and apply Pythagoras’ theorem to find the length of an unknown side in a right-angled triangle
use invariant properties to transform a set of points in the XY plane by translation, reflection about an axis, and rotation about a given point by a multiple of 90 degrees
represent three-dimensional shapes with two-dimensional drawings and digital tools.
The following page covers each of these skills.
Unknown Angles
Unknown Angles
Students should know how to reason about unknown angles in situations involving parallel lines and transversals and the interior and exterior angles of polygons.
To learn to do this, watch these videos here.
Parallel Line Rules
More Angle Rules
Transverse Angle Rules
Interior and Exterior Angle Rules
Similar Triangles
Similar Triangles
Students should know how to use the properties of similarity in two-dimensional shapes, including right-angled triangles, to find unknown lengths.
To learn to do this, watch these videos here.
Similar Triangles
Similar Right Angled Triangles
Similar Triangles Advanced
Pythagoras' Theorem
Pythagoras' Theorem
Students should know how to use and apply Pythagoras’ theorem to find the length of an unknown side in a right-angled triangle.
To learn to do this, watch this video here.
Transformations: Translations, Reflections, and Rotations
Transformations: Translations, Reflections, and Rotations
Students should know how to use invariant properties to transform a set of points in the XY plane by translation, reflection about an axis, and rotation about a given point by a multiple of 90 degrees.
To learn to do this, watch these videos here.
Intro to Transformations
Transformations Maths
Representing In 3D
Representing In 3D
Students should know how to represent three-dimensional shapes with two-dimensional drawings and digital tools.
To learn to do this, watch this video here.
Other Space Skills
Other Space Skills
The following are other space skills that are good to know.
Students should also know how:
to solve trigonometry problems and use SOH CAH TOA.
to solve 3D Problems using Pythagoras' theorem and Trigonometry.
Trigonometry and SOH CAH TOA
Trigonometry and SOH CAH TOA
Students should know how to solve trigonometry problems and use SOH CAH TOA.
To learn to do this, watch these videos here.
Intro to Trigonometry
Advanced SOH CAH TOA
3D Pythagoras and Trigonometry
3D Pythagoras and Trigonometry
Students should know how to solve 3D Problems using Pythagoras' Theorem and Trigonometry.
To learn to do this, watch this video here.
Check Your Understanding
Check Your Understanding
You can check your understanding of the Geometry (Space) topic with the tasks below.
Answers are at the bottom of each exercise
Exercise 1.pdfExercise 1
Exercise 1
Exercise 2.pdfExercise 2
Exercise 2
Exercise 3.pdfExercise 3
Exercise 3
Exercise 4.pdfExercise 4
Exercise 4
Exercise 5.pdfExercise 5
Exercise 5
Exercise 6.pdfExercise 6
Exercise 6
Exercise 7 .pdfExercise 7
Exercise 7
Exercise 8.pdfExercise 8
Exercise 8
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