Circle Theorems
(Day 4)

OBJECTIVES:

1. Calculate unknown angles using the following geometrical properties:

   • angles at a point

   • angles at a point on a straight line and intersecting straight lines

   • angles formed within parallel lines

   • angle properties of triangles and quadrilaterals

   • angle properties of regular polygons

   • angle in a semicircle

   • angle between tangent and radius of a circle

   • angle properties of irregular polygons

   • angle at the centre of a circle is twice the

   • angle at the circumference

   • angles in the same segment are equal

   • angles in opposite segments are supplementary; cyclic quadrilaterals

   • alternate segment theorem.

ASSIGNMENT & SUGGESTED TASKS

• Provided worksheet ([W13 ] Circle Theorems - Day 4)

Circle Theorems
(Day 2)

OBJECTIVES:

1. Calculate unknown angles using the following geometrical properties:

   • angles at a point

   • angles at a point on a straight line and intersecting straight lines

   • angles formed within parallel lines

   • angle properties of triangles and quadrilaterals

   • angle properties of regular polygons

   • angle in a semicircle

   • angle between tangent and radius of a circle

   • angle properties of irregular polygons

   • angle at the centre of a circle is twice the

   • angle at the circumference

   • angles in the same segment are equal

   • angles in opposite segments are supplementary; cyclic quadrilaterals

   • alternate segment theorem.

ASSIGNMENT & SUGGESTED TASKS

• Provided worksheet ([W12 ] Circle Theorems - Day 2)

KEY VOCABULARY

• Cyclic Quadrilateral

Angle Properties

OBJECTIVES:

1. Use and interpret the geometrical terms: point, line, parallel, bearing, right angle, acute, obtuse and reflex angles, perpendicular, similarity and congruence.

2. Use and interpret vocabulary of triangles, quadrilaterals, circles, polygons, and simple solid figures including nets.

3. Use and interpret the geometrical terms: point, line, parallel, bearing, right angle, acute, obtuse and reflex angles, perpendicular, similarity and congruence.

4. Use and interpret vocabulary of triangles, quadrilaterals, circles, polygons, and simple solid figures including nets.

ASSIGNMENT & SUGGESTED TASKS

• Read pages 95 - 97, 104 - 111

• Exercises 4A, 4F, 4G

KEY VOCABULARY

• Right angle

• Acute angle

• Obtuse angle

• Reflex angle

• Revolution

• Half-turn

• Complimentary

• Supplementary

• Vertically Opposite Angles

• Corresponding Angles

• Alternate Angles

• Co-Interior Angles

Practice Test Questions

OBJECTIVES:

1. Complete these questions taken from past test papers.

Introducing Quartiles

OBJECTIVES:

1. Collect, classify, and tabulate statistical data.

2. Calculate mean, median, mode and range for individual and discrete data and distinguish between the purposes for which they are used.

3. Calculate Lower and Upper Quartiles, and use them to find the Inter-Quartile Range

ASSIGNMENT & SUGGESTED TASKS

• Complete attached worksheet.

KEY VOCABULARY

• Mean

• Median

• Mode

• Range

• Lower Quartile

• Upper Quartile

• Inter-Quartile Range

Interpreting Data

OBJECTIVES:

1. Collect, classify, and tabulate statistical data.

2. Read, interpret, and draw simple inferences from tables and statistical diagrams.

3. Construct and read bar charts, pie charts, pictograms, simple frequency distributions, histograms with equal and unequal intervals and scatter diagrams.

4. Calculate mean, median, mode and range for individual and discrete data and distinguish between the purposes for which they are used.

ASSIGNMENT & SUGGESTED TASKS

• Read pages 139-153

• Practice Exercises 6A, 6B, 6C, Review Set 6A

KEY VOCABULARY

• Bar Chart (Compound)

• Pie Chart

• Pictograph

• Line Graph (Broken or Continuous)

• Stem and Leaf Plots

Practice Test Questions

OBJECTIVES:

1. These questions have been pulled from previous IGCSE tests. The objective is to feel confident with the questions given.

Review Fraction Operations

OBJECTIVES:

1. Review adding, subtracting, multiplying, dividing fractions.

2. Introduce harder problems, including word problems.

ASSIGNMENT & SUGGESTED TASKS

• Read pages 37-38

• Practice Exercises 1D

KEY VOCABULARY

• Reciprocal

Roots and Powers

OBJECTIVES:

1. Calculate with squares, square roots, cubes and cube roots and other powers and roots of numbers.

ASSIGNMENT & SUGGESTED TASKS

• Read pages 39-40

• Practice Exercises 1E (Make sure to do #2 without a calculator. #3 is difficult without a scientific calculator, however do as much as you can).

KEY VOCABULARY

• Power

• Base

• Roots

• Square/Cube