Miriam Bugeja

26 – Angles in Triangles and Quadrilaterals

At the end of this lesson you will be able to:
[1] Understand a proof that the angle sum of a triangle is 180°;
[2] Understand a proof that the exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices;
[3] Solve problems involving the angles of triangles;
[4] Understand a proof that the angle sum of a quadrilateral is 360°;
[5] Understand and use properties of the quadrilaterals to solve problems involving angles.

05 – Bearings and Scale Drawings

At the end of this lesson you will be able to:
[1] Use three-figure bearings, measured clockwise from the north to describe the position of one point from another;
[2] Draw simple scale drawings from given data and interpret scale drawings;
[3] Find the distance/bearing of one object from another by making a scale drawing.

08 – Constructions

At the end of this lesson you will be able to:
[1] Use ruler and compasses only to draw the perpendicular bisector of a line segment; Use ruler and compasses only to draw an angle of 90°
[2] Use ruler and compasses only to draw angles of 60°
[3] Use ruler and compasses to draw the bisector of an angle;
[4] Apply the bisector of an angles method to draw angles of 30° and 45°.

07 – Probability

At the end of this lesson you will be able to:
[1] Work out the probability of mutually exclusive events occurring;
[2] Work out the probability of independent/dependent events occurring;
[3] Compile and use a probability tree for independent events;
[4] Compile and use a probability tree for dependent events.

08 – Constructions and Loci

At the end of this lesson you will be able to:
[1] Recall basic constructions using ruler and compasses only;
[2] Use ruler and compasses only to construct the locus of points which are at a fixed distance from a given point and equidistant from two given points;
[3] Use ruler and compasses only to construct the locus of points which are equidistant from a straight line and
equidistant from two intersecting straight lines;
[4] Solve problems involving the above constructions using intersecting

11- Lines and Angles (2)

At the end of this lesson you will be able to:
[1] identify parallel lines in geometric figures and solve problems involving parallel lines (alternate angles);
[2] solve problems involving parallel lines (corresponding angles);
[3] alternate and corresponding angles;
[4] give reasons for deducing true statements from geometric diagrams.

22 – Areas and Volumes

At the end of this lesson you will be able to:
[1] Find the area of a rectangle and of a right angled triangle as half the area of a rectangle or square;
[2] Discover and learn that the area of a triangle can be found by using the formula: half the base times the height;
[3] Find the volume of compound shapes involving cube, cuboid and prism.

24 – The Four Rules

At the end of this lesson you will be able to:
[1] Use the four rules for calculations with numbers;
[2] Problems involving the four rules;
[3] Paper and pencil methods for multiplying and dividing with 1 digit numbers;
[4] Multiplication by two digit numbers using the partitioning method;
[5] Division by large numbers using factors and repeated subtraction.