Download TUP - Year 8 Geometry

Mathematics Unit Planner - Teacher
UNIT TITLE: Geometry
Year 8
Approx Timing
4 weeks
LEARNING OUTCOMES - what a student should know, be able to do and understand. Outcomes should be
measurable against criteria and include IT and calculator skills.
At the end of this topic students should be able to:
 Name the different types of triangles
 Calculate the angles in triangles
 Name the different types of Quadrilaterals
 Calculate the angles in quadrilaterals
(Test 1)
 Calculate the angles in polygons
 Find the angles in parallel lines cut by a transversal line
(Test 2)
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Construct triangles
Construct isometric drawing
Geometric constructions
Draw the Nets of solids and the 3D pictures
KEY ASSESSMENT TASKS for subject based Progression Points, as they appear on student reports. It is not
essential to assess all in one unit.
Test 1 – Name & calculate interior angles of triangles & quadrilaterals. Calculate exterior angles of triangles.
(Exercises. 8A – 8E)
Investigation Task 1 – (MQ8 p.349) Finding the formula for angles in polygons.
Test 2 – Angles in polygons & transversals of parallel lines. (Exercises. 8F – 8G)
KEY LEARNING ACTIVITIES
Time spent on each sub topic will depend on the amount of revision required to enable the completion of the
exercises.
What is Geometry?
The word geometry comes from the Latin words geo meaning earth and metre meaning measure. It dates back to
the ancient Greek philosophers and mathematicians such as Plato, Euclid and Pythagoras. They considered
geometry as the science of measuring our earth and describing its properties.
Geometry today looks at angles, shapes and solids, and investigates their relationships and properties.
Pre Test – Are You Ready?
Maths Quest 8
1. Name, draw & construct triangles according to angle or side prerequisites.
Ex. 8A Qs 1 2 3 4 8 9 10
Triangles can be names according to the length of their sides – equilateral(all sides are equal in length)
- scalene(all sides are different in length)
- isosceles( exactly 2 sides are equal in length)
or
the side of their angles – acute(all angles are cute),
- obtuse(contains one obtuse angle)
- right angle(contains one right angle)
2. Angles in a triangle.
Ex. 8B ½ of Qs 1 2 3 Qs 4 8 9 10
The sum of the angles in a triangle = 180°
The base angles of an isosceles triangle are equal.
3. Exterior angles of a triangle.
If one side of a triangle is extended, the angle between this
extension and the triangle is called the exterior angle.
Ex. 8C Qs 1 2 3 4 5 8 11
The exterior angle and the interior angle next to it are called supplementary.(This means that they add up to 180°)
In any triangle, the exterior angle is equal to the sum of the two opposite interior angles.
Eg:
REVISION: Quick Questions 1 Qs 1-8
Homework sheet 8.1
4. Name, draw & define various quadrilaterals.
Ex. 8D Qs 1 2 3 5
A quadrilateral is any closed 2-dimensional shape with 4 straight sides. Quadrilaterals are either parallelograms
(2 pairs of opposite sides that are parallel) or other quadrilaterals.
(Refer to page 339 of Maths Quest 8 for a written description and a diagram of quadrilaterals.)
5. Angles in a quadrilateral.
Ex. 8E
Qs 1 2 ½ of Qs 3 4 Qs 5 7 8
The sum of the interior angles of any quadrilateral = 360°
REVISION: Chapter Review Qs 1-10
Puzzle P.348 Text
Homework sheet 8.2
Test 1
Assessment Task: INVESTIGATION – Sum of angles in a polygon. P. 349 Text. (To be completed
prior to Ex. 8F.)
6. Angles in polygons.
Ex. 8F Qs 1 2 3 4 & communication task p.353
(Refer to page 349 of Maths Quest 8 for a written description and a diagram of polygons.)
The sum of the interior angles of any polygon =180°(n -2), where n is the number of sides of the polygon.
A regular polygon has all sides equal in length and all angles the same size.
7. Angles and parallel lines.
REVISION: Quick Questions 2
Ex. 8G Qs ALL
Chapter Review Qs 11-15
Test 2
8. Constructing triangles.
Ex. 8H ½ of Qs 1 2 3
Q4
9. Isometric drawing.
Ex. 8I Select from Qs 1-6
(Need protractor, 2 compasses, ruler)
(Need isometric dot paper, cubes)
An isometric drawing is a 2-D drawing of a 3D object.
Always draw the front face first. Vertical edges are shown as vertical lines but horizontal edges are shown with
the lines drawn at an angle.
10. Geometric constructions.
Ex. 8J Geometric constructions. Select from Qs 1-4
(Need protractor, 2 compasses, ruler, textas)
Always work with a pencil first.
11. Nets & Solids.
Ex. 8K Sheets for creating solids. Deconstruct boxes/cartons. Qs 3 4 5
A net is a 2-D plan that can be folded to create a 3-D object.
When designing your net, tabs can give extra strength.
Accuracy is important.
KEY RESOURCES
Maths Quest 8 Text book
Maths Quest Homework book
Protractor
Ruler
2 Compasses
Isometric dot paper
Cubes
Textas
Grey lead pencils
Sharpener
ACTION to take for next year, based upon reflection and feedback
Have another holiday!
Sheets with nets for solids
(in filing cabinet)
Boxes/cartons to deconstruct