Download Mathematics Module 1 - (weeks 1 – 8)

Mathematics Module 1 - (weeks 1 – 8)
Year 9 Sets 2 & 3
Number, Decimals and Accuracy
Aims
To revise converting between percentages, fractions and decimals. To learn how to calculate percentage increases
and decreases without the use of a calculator and find percentages and fractions of a quantity. To simplify ratios
and apply fractions in calculations of ratios. To use the formulas for speed, distance and time to solve worded
questions.
To reinforce the use of BODMAS and be able to use brackets as an aid to solving equations. To improve mental
calculations when working with decimals. To revise long multiplication and long division of decimals.
To introduce number work covering rounding including the introduction of significant figures, leading on to
estimation. To learn multiplying and dividing by numbers less than one. To be able to write numbers using
standard form notation, and work out errors in measurement as an effect of rounding .
Major Outcomes
You will be able to demonstrate an understanding of the above through completion of set exercises, homework and
tests. This will be based on Chapters 7, 12 and 5.
GCSE – Skills (Level 5 pupils are expected to fully understand the majority of the following)
Use the equivalence of fractions, decimals and percentages to compare proportions, and find the outcome of a
given percentage increase or decrease.
Use measures of speed to solve problems.
Make and justify estimates and approximations of calculations.
Recognise limitations on the accuracy of data and measurements.
Key Vocabulary
Percentage, increase, decrease, ratio, proportion, rounding, decimal places, significant figures, estimate, standard
form, upper and lower limits.
Homework
One homework per week, which will either be a completion of tasks based on the continuation of the textbook, or a
piece of work related to the topic given out as a worksheet.
ICT
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
Assessment
Effort
The ability to meet to deadlines
Contribution to class and homework
Ensuring all books and full equipment is brought to school
Attainment
You will be marked By – Beyond, Ac – Achieving or T – Working Towards based on your chapter test marks.
Mathematics Module 2 - (weeks 9 – 16)
Year 9 Sets 2&3
Pythagoras, Circles and Volume
Aims
To introduce Pythagorean triples, finding the hypotenuse and finding any side of a right angled triangle
using Pythagoras’ Theorem.
To be able to calculate the length around the outside of a circle and the area of a circle given the radius
or diameter.
To learn about capacity and it’s relevance to volume, to find the volume of a cuboid and then of more
complex prisms. To be able to convert units of capacity into those of volume and vice versa.
Major Outcomes
You will be able to demonstrate an understanding of the above through completion of set exercises,
homeworks and tests. This will be based on Chapters 1, 3 and 6.
GCSE – Skills (Level 5 pupils are expected to fully understand the majority of the following)
Understand and apply Pythagoras’ theorem. Know and use the formulae for the circumference and area
of a circle. Understand and use formulae for the volume of basic 3D shapes.
Key Vocabulary
Pythagoras’ Theorem, Pythagorean triples, hypotenuse, adjacent, circumference, π, diameter, radius,
area of circle, capacity, millilitres, litres, volume, centimetres squared centimetres cubed, length, width,
height, cuboid, cylinder, prism, cross-section, dimensions.
Homework
One homework per week, which will either be a completion of tasks based on the continuation of the
textbook, or a piece of work related to the topic given out as a worksheet.
ICT
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
Assessment
Effort
The ability to meet to deadlines
Contribution to class and homework
Ensuring all books and full equipment is brought to school
Attainment
You will be marked By – Beyond, Ac – Achieving or T – Working Towards based on your chapter test
marks.
Mathematics Module 3 - (weeks 17 – 24)
Year 9 Sets 2&3
Angles, Formulas and Algebra
Aims
To revise angle facts concerning angles on a straight line, at a point, opposite angles, angles in a triangle
and quadrilateral and the types of angles involved with parallel lines. To be able to work out the
exterior angle of regular polygons and use the rules concerning interior and exterior angles. Tofind the
sum of interior angles for any polygon. To be able to reflect, translate, rotate and enlarge a shape given
a specific set of instructions. To revise using formulae to simplify real life problems. To revise finding
the rule for linear sequences and those containing a squared term. To be able to use the basic rules
involving indices. To consolidate knowledge of order of operations within an equation. To simplify
algebraic expressions through multiplying out brackets and collecting like terms. To solve linear
equations and learn how to manipulate formulae.
Major Outcomes
You will be able to demonstrate an understanding of the above through completion of set exercises,
homeworks and tests. This will be based on Chapters 13, 2 and 8.
GCSE – Skills (Level 5 pupils are expected to fully understand the majority of the following)
Solve geometrical problems using properties of angles, of parallel and intersecting lines, and of triangles
and other polygons.
Generate terms of a sequence using term-to-term and position –to-term definitions of the sequence, and
write an expression to describe the nth term of an arithmetic sequence.
Square a linear expression and expand the product of factorised expressions.
Construct and solve linear equations with integer coefficients, using an appropriate method.
Change the subject of a formula.
Key Vocabulary
Homework
One homework per week, which will either be a completion of tasks based on the continuation of the
textbook, or a piece of work related to the topic given out as a worksheet.
ICT
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
Assessment
Effort
The ability to meet to deadlines
Contribution to class and homework
Ensuring all books and full equipment is brought to school
Attainment
You will be marked By – Beyond, Ac – Achieving or T – Working Towards based on your chapter test
marks.
Mathematics Module 4 - (weeks 25 – 32)
Year 9 Sets 2&3
Statistics, Probability and Algebra
Aims
To learn how to use a variety of statistical techniques to calculate averages and range. To learn how to construct
and interpret scatter diagrams, pie charts and misleading diagrams. To learn basic probability theory, how to
calculate relative frequency, how to list outcomes. To learn how to draw graphs of straight lines from their
equations and how to solve simultaneous equations by algebraic methods.
Major Outcomes
You will be able to demonstrate an understanding of the above through completion of set exercises, homeworks
and tests. This will be based on Chapters 4, 9, 10 and 14.
GCSE – Skills (Level 6 pupils are expected to fully understand the majority of the following)
To be able to calculate averages and range for sets of data, including grouped data. To be able to construct and
use scatter graphs, pie charts, misleading diagrams and sample space diagrams. To be able to find the probability
of an event happening and to calculate relative frequencies. To be able to draw graphs of straight lines from
algebraic equations, and to identify their gradients. To be able to solve simultaneous equations by graphical and
algebraic methods.
Key Vocabulary
Discrete data, continuous data, bar chart, mean, mode, median, range, grouped data, scatter diagrams, correlation
(positive, negative, none), line of best fit, pie charts, misleading diagrams, probability scale,
probability of something happening/not happening, frequency, relative frequency, tally chart, sample space
diagram, equation, coordinates, gradient, point of intersection, simultaneous equations
Homework
One homework per week, which will either be a completion of tasks based on the continuation of the textbook, or a
piece of work related to the topic given out as a worksheet.
ICT
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
Assessment
Effort
The ability to meet deadlines
Contribution to class and homework
Ensuring all books and full equipment is brought to school
Attainment
You will be marked By – Beyond, Ac – Achieving or T – Working Towards based on your chapter test
marks.
Mathematics Module 5- (Weeks 33 – 40)
Year 9 Sets 2,3
Algebra (Trial & Improvement and Inequalities), SATS revision and Coursework
Aims
To learn how to solve equations by trial and improvement and to work out inequalities. To revise thoroughly for
SATS using past SATS papers. To prepare for the Year 10 GCSE Statistics coursework
Major Outcomes
You will be able to demonstrate an understanding of the above through completion of set exercises, homework and
tests. This will be based on Chapter 11 and past SATS papers. After SATS mathematical methods and
techniques are covered which will be required for the Year 10 GCSE statistics coursework in September/October,
and a small project is undertaken using these techniques.
GCSE – Skills (Level 6 pupils are expected to fully understand the majority of the following)
To be able to use the method of trial and improvement to solve algebraic equations. To be able to use inequality
signs and to be able to find all values for an unknown which satisfies a given set or sets of inequalities.
To be able to use statistical techniques required for the Year 10 GCSE Statistics coursework, i.e. calculation of
mean, mode, median range for lists of discrete data, from frequency tables, and for grouped data, production of
cumulative frequency tables and graphs, & calculation of median, lower quartile, upper quartile, inter-quartile range.
Key Vocabulary
Trial and improvement, inequalities, number line.
Homework
One homework per week, which will either be a completion of tasks based on the continuation of the textbook, or
a piece of work related to the topic given out as a worksheet.
ICT
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
Assessment
Effort
The ability to meet deadlines
Contribution to class and homework
Ensuring all books and equipment are brought to lessons.
Attainment
You will be marked By – Beyond, Ac – Achieving or WT – Working towards, based on your chapter test marks.