Geometry

Learning Goals & Success Criteria

Angles and Triangles

Learning goal

By the end of the lesson I will be able to identify the different types of angle and triangles

Success criteria

I am able to:

· identify an acute angle

· identify an obtuse angle

· identify a reflex angle

· identify a right angle

· identify a straight angle

· identify a revolution

· identify complementary angles

· identify supplementary angles

· identify vertically opposite angles

· identify a scalene triangle

· identify an isosceles triangle

· identify an equilateral triangle

· identify an acute angled triangle

· identify an obtuse angled triangle

· identify a right angled triangle

· draw an exterior angle to a triangle

· label an angle using symbols

· label a triangle using symbols

· label a side length of a triangle using symbols

· calculate the size of an unknown angle in a triangle

· calculate the size of an unknown angle in a right angle

· calculate the size of an unknown angle in a straight angle

· calculate the size of an unknown angle at a point

Parallel Lines

Learning goal

By the end of the lesson I will be able to identify the different types of angle pairs created by parallel lines crossed by a transversal.

Success criteria

I am able to:

· identify parallel lines in a diagram from angles given

· identify corresponding angles

· identify alternate angles

· identify cointerior angles

· calculate unknown angles where a transversal crosses parallel lines

· calculate unknown angles by adding a third parallel line where necessary

Quadrilaterals and other polygons

Learning goal

By the end of the lesson I will be able to identify the different types of quadrilaterals

Success criteria

I am able to:

· identify a convex quadrilateral

· identify a non-convex quadrilateral

· identify a square

· identify a rectangle

· identify a rhombus

· identify a parallelogram

· identify a kite

· identify a trapezium

· calculate the size of an unknown angle in a quadrilateral

· apply the rule to calculate the angle sum of a polygon

· calculate the size of an unknown angle in a polygon

· identify the diagonals of a polygon

· calculate the interior angle in a regular polygon

· calculate the exterior angle in a regular polygon

Congruent triangles

Learning goal

By the end of the lesson I will be able to identify congruent shapes and test for triangle congruence

Success criteria

I am able to:

· identify congruent shapes

· use symbols to describe a congruence statement

· apply the SSS test to identify two congruent triangles

· apply the SAS test to identify two congruent triangles

· apply the AAS test to identify two congruent triangles

· apply the RHS test to identify two congruent triangles

· calculate unknown sides or angles for two congruent triangles

Enlargement and similar figures

Learning goal

By the end of the lesson I will be able to identify similar shapes and calculate the enlargement scale factor.

Success criteria

I am able to:

· identify similar shapes

· draw a similar shape using a centre of enlargement and a scale factor

· calculate the scale factor for two similar triangles

· calculate unknown sides for two similar triangles

Similar triangles

Learning goal

By the end of the lesson I will be able to identify similar shapes and calculate the enlargement scale factor.

Success criteria

I am able to:

· identify similar shapes

· use symbols to describe a similarity statement

· apply the SSS test to identify two similar triangles

· apply the SAS test to identify two similar triangles

· apply the AAA test to identify two similar triangles

· apply the RHS test to identify two similar triangles

· calculate unknown sides for two similar triangles

Victorian Curriculum

• Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar (VCMMG316)
• Solve problems using ratio and scale factors in similar figures (VCMMG317)

Text Exercises

Tasks

• Selected questions from Ex 7A, 7B, 7C, 7D, 7F, 7G
• Homework sheets
• Topic test 1 - Angles, Parallel lines & Polygons
• Topic test 2 - Congruence & Similarity

Other Resources

• Maths Is Fun
• Basic Angles
• Maths videos
• Quizziz