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COURSE OUTLINE ADVETI

Course Title Grade 10 Mathematics

Course Codes MATHS1001, MATHS1002, MATHS1003

Duration (periods) 216

Version Number V1 Date: August 2013

Revision Date 1 yr. Short review date: July/2014

3 yrs. In depth review date: July/2016

Industry Sector Engineering, Aviation, Media, Health and Business

Linked Standards IGCSE (O Level up to Grade B)

Course Purpose

This course provides the learner with the underpinning

Mathematical skills and knowledge needed for STS Mathematics and

the capacity to sit IGCSE Mathematics at the end of the three year programme

Context of delivery and

assessment

This course is relevant to STS Mathematics and the scope to sit

IGCSE Mathematics. Not all assessment criteria need to be met in one assessment task or activity.

Pre-Requisite/Co-Requisite Successful completion of Grade 9

Assessment Refer to ADVETI Assessment Policy.

Teacher/Learner Resources

The teacher and student should have access to current industry relevant publications including but not restricted to:

Mathematics text book

Internet access

Software packages Boardworks etc.

iPads

Physical resources

It is essential that assessment is conducted in an environment which reflects industry practices with access to suitable resources

and equipment specifically:

A standard classroom environment;

Library facilities;

iPads

Smartboard/Interactive whiteboard

A data projector

A laptop & calculators

Hands-on materials: Calculators, cubes, dice, shapes and

containers such as packaging, bottles, tins, rulers, graph paper, card, scissors, glue

Measuring equipment: Scales, measuring tapes, thermometers,

compasses and protractors

Customisation required

(Please specify) Available in English only

General Comments

Essential Skills

The following skills must be assessed as a part of this course: Students ability to explain and verify mathematical relationships

and link mathematical ideas to existing knowledge and understanding. They can use mathematical language and notation

to explain mathematical ideas, and interpret tables, diagrams and

text in mathematical situations. Students ability to apply their knowledge of ratio and rates to

problems. They can calculate with percentages, decimals and fractions. Estimate and round numbers to a specified number of

significant figures. They can solve probability problems using fractions, decimals and percentages and complementary events.

Students ability to explore metric units and imperial units of

measurement, and rates and ratios, making judgements about

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measurement errors Students can solve simple inequalities. They can develop tables of

values from simple relationships, illustrate these relationships on the number plane, and graph and interpret simple linear

relationships. They can solve simultaneous linear equations

graphically. They use the index laws to simplify algebraic expressions.

Students can find the surface area and volume of a range of prisms and cylinders. They can find the area and perimeter of a range of

polygons, circles and composite figures. They use Pythagoras

theorem. They can use a range of strategies when analysing ungrouped data.

Students can use reasoning in numerical problems, drawing on their knowledge of the properties of similar and congruent figures, and

the properties of triangles and quadrilaterals.

Essential Knowledge

The following knowledge must be assessed as part of this course:

Number: Percentages, Decimals, Fractions, Ratio and Rates, Properties of Numbers, Squares, Cubes, Square root and Cube roots

Measurement and Data: Metric and Imperial Units, Perimeter,

Area, Volume, Pythagorass Theorem, Probability and Analysing Data

Pattern and Algebra: Indices and Algebraic Expressions, Linear

Relationships and Inequalities

Space and Geometry: Properties of Triangles and Quadrilaterals, Similarity and Congruence

Elements Performance criteria 1. Number

Operate with integers ,

fractions, decimals, percentages, ratios and

rates and use significant figures

1.1 Understand and use integers (positive, negative and zero) both as positions and translations on a number line

1.2 Understand place value

1.3 Order quantities by magnitude and demonstrate familiarity the symbols

= , , , , ,

1.4 Understand and use equivalent fractions, simplifying

a fraction by cancelling common factors

1.5 Understand and use mixed numbers and vulgar fractions

1.6 Identify common denominators

1.7 Apply common denominators to order fractions

1.8 Calculate a given fraction of a given quantity, expressing the answer as a fraction

1.9 Express a given number as a fraction of another number

1.10 Add and subtract fractions with like and unlike denominators

and mixed numbers

1.11 Multiply and divide fractions with whole numbers and mixed numbers

1.12 Order decimals

1.13 Convert between fractions, decimals and percentages

1.14 Perform calculations with percentages

1.15 Round integers to a given power of 10

1.16 Estimate calculations and round numbers to a specified

number of significant figures

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1.17 Identify upper and lower bounds where values are given to a degree of accuracy

1.18 Use order of operations to solve problems

1.19 Perform operations with decimals

1.20 Explore, calculate and solve problems involving proportion, rates and ratios

Measurement and Data

Explore metric units and

imperial units of measurement, and rates

and ratios, making

judgments about measurement errors

1.21 Convert between different metric units of length, volume and

mass

1.22 Calculate rates, and convert between metric units of rates,

for example km/h to m/s

1.23 Use conversion tables to convert between metric and

imperial units

Number

Investigate and apply

special number factors and find squares, square roots,

cubes and cube roots

1.24 Find squares and related square roots and cubes and related cube roots

1.25 Express numbers as products of prime factors

1.26 Evaluate Highest Common Factor (HCF) and Lowest

Common Multiple (LCM)

Number

Explore arithmetic sequences

1.27 Generate terms of a sequence using term-to-term and position-to-term definitions of the sequence

1.28 Find subsequent terms of an integer sequence and the rule for generating it

2 Patterns and Algebra

Apply the index laws, with

integral powers, to simplify

algebraic expressions

2.1 Use index laws for positive, negative and the zero index, to

solve problems arithmetically

2.2 Simplify, expand and factorise algebraic expressions, including applying index laws that have integral indices only

2.3 Use index notation to represent square roots and cube roots

Space and Geometry

Classify angles and classify,

draw and determine the

properties of triangles

2.4 Distinguish between acute, obtuse, reflex and right angles

2.5 Use angle properties of intersecting lines, parallel lines and angles on a straight line

2.6 Identify the properties of special triangles, and from a set of properties identify the type of triangle

Space and Geometry

Classify quadrilaterals and

polygons, and use these to

solve numerical problems

2.7 Recognise and give the names of polygons

2.8 Identify the properties of special quadrilaterals, and from a set of properties identify the type of quadrilateral

2.9 Understand the term regular polygon and calculate interior

and exterior angles of regular polygons

Measurement and Data

Use formulae to find the

perimeter and area of

shapes and calculate the surface area of rectangular

and triangular prisms, and the volume of prisms and

cylinders

2.10 Determine the perimeter of special quadrilaterals, triangles,

circles and composite figures made up of those shapes

2.11 Develop and use formulae to find the area of parallelograms, rhombuses, kites, trapeziums, triangles, circles and

composite shapes

2.12 Recognise and give the names of solids

2.13 Understand the terms face, edge and vertex in the context of 3-D solids

2.14 Identify and draw cross-sections of prisms

2.15 Develop the formulae for the volumes of prisms and cylinders and apply to problems

2.16 Find the surface area of rectangular and triangular prisms

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Measurement and Data

Use Pythagoras theorem to solve problems

2.17 Develop and apply Pythagoras theorem with right angled

triangles

3 Measurement and Data

Solve probability problems

involving fractions,

decimals and percentages and explore complementary

events

3.1 Solve probability problems using fractions, decimals and

percentages

3.2 Identify and find probabilities of complementary events

Patterns and Algebra

Simplify, expand and factorise expressions.

Use algebraic techniques to solve linear equations and

simple inequalities and

graph and interpret linear relationships on the

number plane

3.3 Simplify, expand and factorise simple algebraic expressions

3.4 Solve linear equations, using up to 3 steps

3.5 Solve simple inequalities and graph the solution on a number

line

3.6 Extend a line to show that there are an infinite number of

ordered pairs that satisfy a given relationship

3.7 Graph linear relationships created from tables of values

3.8 Consider similarities and differences between straight lines

drawn on the same set of axes

Measurement and Data

Collect, organise, represent and analyse ungrouped

statistical data

3.9 Construct frequency tables and display ungrouped data

3.10 Use appropriate methods of tabulation to enable the construction of statistical diagrams

3.11 Construct and use bar graphs, pie charts and pictograms

3.12 Read, interpret and draw simple inferences from tables and

statistical diagrams

3.13 Calculate means of central tendency (mean, mode, median) and range for individual and discrete data and distinguish

between the purposes for which they are used.

Space and Geometry

Identify congruent and similar two-dimensional

figures, stating the relevant

conditions

3.14 Identify congruent figures and determine their properties

3.15 Identify similar figures and determine their properties

3.16 Calculate the dimensions of similar figures using the scale

factor

Conditions 1. May be on the job or in the ADVETI campus.

Assessment Guidelines

Assessment Name Assessment Type Weighting

Investigation/Project IGCSE Past Paper

Booklet/s

20%

CA Task 2 Summative Tests 40%

Major Test Exam 40%

Workplace Health & Safety

Students should be aware of relevant health and safety issues in all

situations, and demonstrate safe working practices at all times. Any serious omission will necessitate repeating the Course (or part

thereof).

The workplace must comply with current workplace health and safety legislation.

Teacher Experience

Appropriate teaching experience

Teachers must be able to demonstrate current technical

competence at the level of the course being delivered and assessed. Ideally the teacher should have at least 3 years current

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relevant teaching experience.

REVISION HISTORY

Version No.

Approved / Rescinded /

Reviewed

Date Approved by

Resolution Number

Review Date

Document Reference

V1 Aug 2013 CDU