MODULE 3
HIGHER TIER MODULAR GCSE COURSE (for teaching from September 2008)
COURSE CODE 2381
Course overview
Module exam date / Paper / Time / WeightingModule 1 / November of year 10 / 5381H / 2 x 20 mins / 20%
Module 2 / June of year 10 / 5382H / 2 x 30 mins / 30%
Module 3 / June of year 11 / 5383H / 2 x 1 hr 10mins / 50%
Learning Objectives colour key
This is assumed knowledge and is the platform on which to build from
This is core material that should try and be attempted by all students
This is extension material that should be delivered appropriately
The published starting time of all examinations is 9.00 a.m. for morning sessions and 1.30 p.m. for afternoon sessions
Each unit consists of two parts, Section A and Section B.
Module 1 : Section A is CALCULATOR
Section B is NON CALCULATOR
Module 2 : Section A is NON CALCULATOR (Multiple choice)
Section B is CALCULATOR
Module 3 : Section A is NON CALCULATOR (terminal)
Section B is CALCULATOR (terminal)
Chapter/Topic / Learning Objectives
(We are learning to…) / Target Grade / Learning Outcomes
(What I am looking for…..) / Key words
MODULE 3
Chapter 19 / ANGLES (2) – 4 LESSONS
19.1 Quadrilaterals / Ma3.2b – Explain why the angle sum of a quadrilateral is 360° / E / · Be able to explain why the angle sum of a quadrilateral is 360°.
· Know and be able to use the fact that the angle sum of a quadrilateral is 360°.
19.2 Polygons / Ma3.2d – calculate and use the sums of the interior angles of quadrilaterals, pentagons and hexagons
Ma3.2d – calculate and use the angles of regular polygons / E, D, C / · Know the meaning of the terms ‘polygon’, ‘pentagon’, ‘hexagon’, ‘octagon’, ‘decagon’ ‘regular’ and ‘interior angle’.
· Find and be able to use the sum of the interior angles of any polygon.
· Be able to use equal division of a circle to construct regular polygons.
19.3 Exterior angles / Ma3.2d – calculate and use the sums of the exterior angles of quadrilaterals, pentagons and hexagons
Ma3.2d – calculate and use the angles of regular polygons / E, D, C / · Know the meaning of the term ‘exterior angle’.
· Know and be able to use the fact that the sum of the exterior angles of any polygon is 360°.
Chapter 19
SUGGESTED ACTIVITES
and ICT
Chapter/
Topic / Learning Objectives
(We are learning to…) / Target Grade / Learning Outcomes
(What I am looking for…..) / Key words
Chapter 20 / FRACTIONS – 5 LESSONS
20.1 Addition and subtraction of fractions / Ma2.3c – add and subtract fractions by writing them with a common denominator
Ma2.3i – use efficient methods to calculate with fractions, including cancelling common factors before carrying out the calculation / D, C / · Be able to add and subtract fractions.
20.2 Addition and subtraction of mixed numbers / Ma2.3d – addition and subtraction of mixed numbers
Ma2.3i – use efficient methods to calculate with fractions, including cancelling common factors before carrying out the calculation / C, B / · Be able to add and subtract mixed numbers
20.3 Multiplication of fractions and mixed numbers / Ma2.3d – multiply a given fraction by an integer, a unit fraction and a general fraction
Ma2.3d – multiplication of mixed numbers
Ma2.3i – use efficient methods to calculate with fractions, including cancelling common factors before carrying out the calculation / D, C, B / · Be able to multiply fractions and mixed numbers
20.4 Division of fractions and mixed numbers / Ma2.3d – divide a given fraction by an integer, a unit fraction and a general fraction
Ma2.3d – division of mixed numbers
Ma2.3i – use efficient methods to calculate with fractions, including cancelling common factors before carrying out the calculation / D, C, B / · Be able to divide fractions and mixed numbers
20.5 Fractions of quantities / Ma2.3c – calculate a given fraction of a given quantity, expressing the answer as a fraction
Ma2.3d – understand and use unit fractions as multiplicative inverses
Ma2.3d – multiply a given fraction by an integer
Ma2.3i – use efficient methods to calculate with fractions, including cancelling common factors before carrying out the calculation / D / · Be able to find a fraction of a given quantity.
20.6 Fraction problems / Ma2.4a – draw on their knowledge of operations and methods of simplification in order to select and use suitable strategies and techniques to solve problems, including those involving fractions
Ma2.3i – use efficient methods to calculate with fractions, including cancelling common factors before carrying out the calculation / D, C, B / · Be able to use fractions in problems
Chapter 20
SUGGESTED ACTIVITES
and ICT
Chapter/
Topic / Learning Objectives
(We are learning to…) / Target Grade / Learning Outcomes
(What I am looking for…..) / Key words
Chapter 21 / SCALE DRAWINGS & RATIO
3 LESSONS
21.1 Scale drawings and maps / Ma3.3d – use and interpret maps and scale drawings / C, D / · Understand that lengths and distances in scale drawings and models are shorter than in the actual places and objects but the proportions and angles stay the same
· Understand that the scale of drawings and models may be given in various ways
· Use and interpret maps, scale drawings and scale models, the scale often being a ratio
21.2 Dimensions / Ma3.3d – understand the difference between formulae for perimeter, area and volume by considering dimensions / C / · Understand dimensions and recognize whether an expression could represent a length, an area, a volume or none of these.
Chapter 21
SUGGESTED ACTIVITES
and ICT
Chapter/
Topic / Learning Objectives
(We are learning to…) / Target Grade / Learning Outcomes
(What I am looking for…..) / Key words
Chapter 22 / 2D SHAPES (2) – 5 LESSONS
22.1 Drawing shapes / Ma3.4c – use straight edge and compasses to do standard constructions including an equilateral triangle with a given side / D / · Be able to construct accurately triangles and quadrilaterals using ruler and compasses
· Be able to make accurate drawings of triangles and quadrilaterals using a ruler, compasses and a protractor
· Understand the meaning of ‘construct’ and ‘construction’
22.2 Circumference of a circle / Ma 3.2h – recall the definition of a circle and the meaning of related terms, including diameter and circumference
Ma3.4d – find circumferences of circles and areas enclosed by circles, recalling relevant formula / D, C / · Work out the circumference of a circle using the formula C = πd or C = 2πr
· Work out the diameter or radius of a circle, given its circumference
· Solve problems involving the circumference of a circle, including shapes made from semicircles and rectangles
22.3 Area of a circle / Ma3.4d – find circumferences of circles and areas enclosed by circles, recalling relevant formula / D, C / · Work out the area of a circle using the formula A = πr2
· Solve problems involving the area of a circle, including shapes made from semicircles and rectangles
22.4 Circumferences and areas in terms of π / Ma3.4d – find circumferences of circles and areas enclosed by circles, recalling relevant formula / C / · Give in terms of π the answers to problems involving the circumference and area of a circle
· Solve problems in which the circumference or area is given in terms of π
22.5 Arc length and sector area / Ma3.2h – recall the definition of a circle and the meaning of related terms including centre, radius arc and sector
Ma3.4d – calculate the lengths of arcs and the areas of sectors of circles / A / · Calculate the lengths of arcs
· Calculate the perimeters of sectors
· Calculate the areas of sectors
22.6 Segment area / Ma3.2h – recall the definition of a circle and the meaning of related terms including chord, segment
Ma2.3i – solve problems involving more complex shapes…, including segments of circles… / A / · Calculate the area of simple segments
22.7 Units of area / Ma3.4a – convert measurements from one unit to another / D / · 1 m2 = 10 000 cm2 and use it to convert between m2 and cm2.
· 1 cm2 = 100 mm2 and use it to convert between cm2 and mm2.
· 1 km2 = 1 000 000 m2 and use it to convert between km2 and m2
Chapter 22
SUGGESTED ACTIVITES
and ICT
Chapter/
Topic / Learning Objectives
(We are learning to…) / Target Grade / Learning Outcomes
(What I am looking for…..) / Key words
Chapter 23 / LINEAR EQUATIONS – 6 LESSONS
23.1 The balance method for solving equations / Ma2.5e – solve simple equations by using inverse operations or by transforming both sides in the same way
Ma2.5f – solve linear equations in one unknown, with integer coefficients, in which the unknown appears on either side or on both sides of the equation.
Ma2.5f – solve linear equations that require prior simplification of brackets, including those that have negative signs occurring anywhere in the equation, and those with a negative solution. / D, C / · Know how to use the balance method to solve linear equations:
o with integer coefficients, where the unknown appears on just one side of the equation and the solutions are positive or negative whole numbers, fractions or decimals
o in one unknown involving brackets
o with letters on both sides of the equation
23.2 Setting up equations / Ma2.5e – set up simple equations – find the angle a in a triangle with angles a, a + 10, a + 20 / D, C / · Be able to set up and solve simple equations with one unknown from practical situations.
23.3 Solving equations with fractional terms / Ma2.5f – solve linear equations in one unknown, with fractional coefficients, in which the unknown appears on either side or on both sides of the equation. / C, B / · Know how to solve linear equations with one unknown involving fractional terms. / Ex 23C may not all be appropriate
23.4 Simultaneous linear equations / Ma2.5i – find exact solutions of two simultaneous equations in two unknowns by eliminating a variable. / B / · Know how to find the exact solutions of two simultaneous equations with two unknowns by removing one unknown.
23.5 Setting up simultaneous linear equations / Ma2.5i – find exact solutions of two simultaneous equations in two unknowns by eliminating a variable. / B / · Be able to set up and solve a pair of simultaneous equations from a practical situation.
Chapter 23
SUGGESTED ACTIVITES
and ICT
Chapter/
Topic / Learning Objectives
(We are learning to…) / Target Grade / Learning Outcomes
(What I am looking for…..) / Key words
Chapter 24 / PERCENTAGES – 6 LESSONS
24.1 Percentages / Ma2.2e – understand that ‘percentage’ means ‘number of pars per 100’ and use this to compare proportions
Ma2.2e – interpret percentage as the operator ‘so many hundredths of’
Ma2.4a – draw on their knowledge of operations and inverse operations, and of methods of simplification in order to select and use suitable strategies and techniques to solve problems and word problems, including those involving percentages
Ma2.2e – use percentage in real-life situations (commerce and business, inflation, VAT, interest) / C, D / · Be able to change a percentage into a fraction or a decimal.
· Be able to find a percentage of a quantity. / NOTE : 2.2e has been delivered with CHAPTER 10
24.2 Increases and decreases / Ma2.3e – convert simple fractions of a whole to percentages of the whole and vice versa
Ma2.3e – then understand the multiplicative nature of percentages as operators
Ma2.3j – solve percentage problems, including percentage increase and decrease
Ma2.4a – draw on their knowledge of operations and inverse operations, and of methods of simplification in order to select and use suitable strategies and techniques to solve problems and word problems, including those involving percentages
Ma2.2e – use percentage in real-life situations (commerce and business, inflation, VAT, interest) / B, C / · Be able to increase or decrease a quantity by a given percentage.
· Be able to find a multiplier for a percentage increase or a percentage decrease.
· Be able to give one quantity as a percentage of another quantity.
· Be able to find percentage profit and percentage loss.
· Be able to find and use index numbers.
24.3 Use of multipliers / Ma2.3k – represent repeated proportional change using a multiplier raised to a power
Ma2.4a – draw on their knowledge of operations and inverse operations, and of methods of simplification in order to select and use suitable strategies and techniques to solve problems and word problems, including those involving repeated proportional change
Ma2.2e – use percentage in real-life situations (commerce and business, inflation, VAT, interest) / B, C / · Be able to use a multiplier for repeated percentage increase or decrease.
· Be able to work out compound interest.
24.4 Reverse percentages / Ma2.3e – calculate an original amount when given the transformed amount after a percentage change
Ma2.3e – reverse percentage problems
Ma2.3s – use calculators for reverse percentage calculations by doing an appropriate division
Ma2.4a – draw on their knowledge of operations and inverse operations, and of methods of simplification in order to select and use suitable strategies and techniques to solve problems and word problems, including those involving reverse percentages
Ma2.2e – use percentage in real-life situations (commerce and business, inflation, VAT, interest)