Mathematics Lower School Curriculum
Year 7
Module 1 (weeks 1 – 8) Number and Shape and Algebra
Aims
To develop skills and build on the work from Key stage 2 into Key Stage 3.
To introduce number work covering factors, primes and multiples and patterns in numbers.
To work with a variety of 2D shapes. To name and recognise the properties of polygons. To be able to construct accurate polygons. To understand the concept of congruence and tessellation.
To write simple formulas. To be able to collect like terms and substitute in formulas.
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 3, 5 and 9.
GCSE
Skills (Level 5 pupils are expected to fully understand the majority of the following)
Recognise and use multiples, factors and primes, using tests of divisibility.
To recognise the properties of 2D shapes and be able to construct accurate polygons.
Use letters to represent unknown numbers or variables. Simplify linear algebraic expressions.
Key Vocabulary
Even, Odd, Factors, Multiples, Primes, Square numbers, Triangular numbers, Triangle, Equilateral, Isosceles, Right angle, Scalene, Rectangle, Square, Rhombus, Trapezium, Parallelogram, Kite, Arrowhead, Quadrilateral, Pentagon, Hexagon, Octagon, Polygon, Regular, Irregular, Vertex, Convex, Concave, Circle, Circumference, Radius, Diameter, Chord, Semi circle, Arc, Tessellation, Congruence, Algebra, Formula, Terms, Substitution
Homework
One homework per week, which will be a combination of:
1: Completion of tasks based on continuation of textbook.
2: A set homework based on the current topic being studied which will be given a grade.
ICT
Opportunity to use Excel, LOGO and Omnigraph to aid the learning of Sequences, Functions and Polygons.
Assessment
Effort: Your ability to meet deadlines; Your contribution to classwork and homework; Ensuring all books and full equipment brought to lesson.
Attainment: You will be marked By – Beyond, Ac – Achieving or T – Working Towards based on your chapter test marks.
Sets 1 & 2 Marks 15 - 20 By
Marks 8 - 15 Ac
Marks 0 - 8 T
Sets 3 & 4 Marks 18 - 20 By
Marks 15 - 18 Ac
Marks 0 - 15 T
Mathematics Module 2 (weeks 9 – 16) Area, Arithmetic and Symmetry
Aims
To be able to find the area and perimeter of regular and irregular shapes using set rules and estimation. To be able to find the area of compound shapes.
To be able to use the rules of rounding to the nearest 10, 100 and 1000. To introduce strategies to solve mental arithmetic problems. To use estimation to check answers. To understand the priorities of operations (BODMAS) and develop the use of calculators.
To recognise line and rotational symmetry.
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 14, 4 and 2.
GCSE –
Skills (Level 5 pupils are expected to fully understand the majority of the following)
To calculate the area and perimeter of triangles, quadrilaterals and compound shapes.
To be able to use the basic rules of arithmetic. To be able to round numbers to a degree of accuracy and estimate appropriately.
Reflect and rotate 2D shapes and recognising line and rotational symmetry.
Key Vocabulary
Area, Perimeter, Compound, Estimation, Rounding, Brackets, Power, Division, Multiplication, Addition, Subtraction (BODMAS),Line symmetry, Rotational symmetry, Clockwise, Anti clockwise.
Homework
One homework per week, which will be a combination of:
1: Completion of tasks based on continuation of textbook.
2: A set homework based on the current topic being studied which will be given a grade.
ICT
Opportunity to use LOGO and Omnigraph to aid the learning of Symmetry.
Assessment
Effort: Your ability to meet deadlines; Your contribution to classwork and homework; Ensuring all books and full equipment brought to lesson.
Attainment: You will be marked By – Beyond, Ac – Achieving or T – Working Towards based on your chapter test marks.
Sets 1 & 2 Marks 15 - 20 By
Marks 8 - 15 Ac
Marks 0 - 8 T
Sets 3 & 4 Marks 18 - 20 By
Marks 15 - 18 Ac
Marks 0 - 15 T
Mathematics Module 3 (weeks 17 – 24) Fractions and Percentages, Statistics and Probability
Aims
Finding fractions and percentages of quantities. To introduce equivalent fractions. To be able to convert between fractions, decimals and percentages.
To represent and interpret data, using a variety of graphs and diagrams. The ability to distinguish and calculate averages ( mean, median, mode and range).
To introduce probability scale and calculate probabilities using fractions. To introduce experimental probabilities.
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 15, 1, 16 and 8.
GCSE
Skills (Level 5 pupils are expected to fully understand the majority of the following):
Use the equivalence of fractions, decimals and percentages in describing proportions and to be able to convert between them.
To be able to represent data on a variety of graphs and diagrams. To interpret diagrams and graphs and to calculate different measures of average.
To represent probability on a probability scale. To calculate and compare experimental and theoretical probabilities.
Key Vocabulary
Fractions, Decimals, Percentages, Numerator, Denominator, Equivalence, Cancelling, Simplifying, Graphs, Survey, Tally, Frequency, Bar chart, Pie Chart, Scatter diagrams, Mean, Median, Mode and Range, Probability, Scale, Random, Unlikely, Likely, Impossible, Certain, Even, Chance, Relative frequency
Homework
One homework per week, which will be a combination of:
1: Completion of tasks based on continuation of textbook.
2: A set homework based on the current topic being studied which will be given a grade.
ICT
Opportunity to use Excel, the Internet and other software to aid the learning Statistics and Probability.
Assessment
Effort: Your ability to meet deadlines; Your contribution to classwork and homework; Ensuring all books and full equipment brought to lesson.
Attainment: You will be marked By – Beyond, Ac – Achieving or T – Working Towards based on your chapter test marks.
Sets 1 & 2 Marks 15 - 20 By
Marks 8 - 15 Ac
Marks 0 - 8 T
Sets 3 & 4 Marks 18 - 20 By
Marks 15 - 18 Ac
Marks 0 - 15 T
Mathematics Module 4 (weeks 25 – 32) Decimals, Angles and Negative numbers
Aims
To be able to understand and use decimal notation and place value. To compare and order decimals. To round numbers appropriately in order to estimate.
To introduce the types of angles. To measure and estimate angles. To calculate angles using various rules. Being able to construct triangles.
To introduce the concept of numbers less than zero. Finding differences between positive and negative numbers. To plot coordinates of negative numbers.
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 6, 10 and 11.
GCSE
Skills (Level 5 pupils are expected to fully understand the majority of the following):
To compare and order decimals. Being able to round decimals to decimal places. To make and justify estimates and approximations.
To understand and use the rules of angles. To be able to apply basic construction techniques.
To ability to recognise negative numbers and calculate differences involving them. To plot points and draw graphs involving negative numbers.
Key Vocabulary
Decimal. Whole number, Point, Place value, Digit, Angles, Right angle, Acute, Obtuse, Reflex, Straight line, Full turn, Protractor, Degrees, Opposite, Construct, Negative, Positive, Coordinates, Axes, Quadrant, Origin.
Homework
One homework per week, which will be a combination of:
1: Completion of tasks based on continuation of textbook.
2: A set homework based on the current topic being studied which will be given a grade.
ICT
Opportunity to use Excel, LOGO, Omnigraph and the Internet to aid the learning of Angles, Coordinates and Straight Lines.
Assessment
Effort: Your ability to meet deadlines; Your contribution to classwork and homework; Ensuring all books and full equipment brought to lesson.
Attainment: You will be marked By – Beyond, Ac – Achieving or T – Working Towards based on your chapter test marks.
Sets 1 & 2 Marks 15 - 20 By
Marks 8 - 15 Ac
Marks 0 - 8 T
Sets 3 & 4 Marks 18 - 20 By
Marks 15 - 18 Ac
Marks 0 - 15 T
Mathematics Module 5 (week 33 to end of year) Revision Week – revising all topics studied this year and mental test preparation.
End of year assessment
this will be a combination of a written examination, part of which will be non-calculator, a mental test and the average mark from chapter tests. These are weighted so that of the final mark, 75% is based on the written examination mark, 15% is based on the mental test mark and 10% is based on the average chapter test mark. All sets sit the same written examination and mental test.
The assessment grades of Beyond, Achieving and Working Towards will then be given based on the overall percentage. The grade boundaries shown below are approximate.
After exam week pupils continue with Chapters 13 and 7.
YEAR 8
Mathematics Module 1 (weeks 1 – 8) Number and Algebra 1
Aims
To develop skills and build on the work from Year 7 into Year 8.
To introduce number work covering powers and roots and the ability to use correct functions on a scientific calculator. Approximating numbers to nearest 10, 100 and 1000. Working on decimal places and significant figures.
To work on number patterns and to find algebraic rules for the sequences produced. Using substitution on given formulae and to solve simple linear equations. To introduce HCF, LCM and Prime Factors.
To understand the concept of negative numbers and to use these numbers based on the four operations.
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 2, 4 and 6.
GCSE
Skills (Level 5 pupils are expected to fully understand the majority of the following)
To be able to use a calculator to find powers and roots. To be able to approximate numbers in different forms. To solve simple equations and have the ability to substitute numbers correctly in a given formula. Recognise the distinctions between positive and negative numbers and to solve related problems.
Key Vocabulary
powers, roots, square, cube, decimal, significant, sequence, formula, substitute, equation, factor, prime, multiple, negative.
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.
Set 1 Marks 15 - 20 By
Marks 6 - 15 Ac
Marks 0 - 6 T
Set 2 Marks 18 - 20 By
Marks 10 - 18 Ac
Marks 0 - 10 T
Set 3 Marks 18 - 20 By
Marks 10 - 18 Ac
Marks 0 - 10 T
Set 4 Marks 18 - 20 Ac
Marks 0 - 18 T
Mathematics Module 2 (weeks 9 – 16) Angles, Percentages and Probability
Aims
To describe different types of angles and to recognise one angle from another. Involvement of measuring and drawing angles accurately. To work out using a variety of rules missing angles. Recognising simple interior and exterior angles and being able to calculate them. Acknowledging rules of bearings.
Being able to calculate simple percentages, with and without the use of calculators, converting percentages into fractions and decimals and the converse. Being able to work out fractions of a quantity and combining fractions with percentages in answering questions.
Able to draw a probability line and mark on events ranging from impossible to certain. Simple fractional probabilities, including events not happening. Being able to complete a sample space diagram.
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 7, 9 and 8.
GCSE
Skills (Level 5 pupils are expected to fully understand the majority of the following)
Ability to draw and measure accurately angles. Knowing rules of straight lines, triangles, around a point, opposite etc. Being able to find sum of interior angles from a given polygon. Drawing bearings. Ability to calculate percentages and convert fractions and decimals. Working out probabilities as fractions and also drawing sample space diagrams to find different combinations.
Key Vocabulary
acute, obtuse, right angle, reflex, protractor, triangle, opposite, alternate, corresponding, interior, exterior, polygon, bearing, percentage, fraction, decimal, probability, certain, impossible, even, likely, unlikely, event, sample space
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.
Set 1 Marks 15 - 20 By
Marks 6 - 15 Ac
Marks 0 - 6 T
Set 2 Marks 18 - 20 By
Marks 10 - 18 Ac
Marks 0 - 10 T
Set 3 Marks 18 - 20 By
Marks 10 - 18 Ac
Marks 0 - 10 T
Set 4 Marks 18 - 20 Ac
Marks 0 - 18 T
Mathematics Module 3 (weeks 17 - 24) Project, Area and Volume
Aims
Pupils to work on a designated project for approximately 2 weeks, which will incorporate an investigational task, set by the department.
Working out the perimeter of shapes and then progressing to areas of simple 2D shapes, such as rectangles, squares and triangles. This will involve counting and estimating squares within a shape. Extension work will involve more complex shapes, including composite shapes and scale factors of enlarged shapes.
The ability to find the volume of prisms by counting and then by calculation methods. Being able to distinguish different units of volume.
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 12 and 14. You will also complete an investigation called Lines, Crossovers and Regions.
GCSE
Skills (Level 5 pupils are expected to fully understand the majority of the following)
The ability to work on the designated project through a systematic approach and writing up their findings in a clear and logical manner.
Pupils being able to calculate the perimeter of shapes and understanding how to find lengths of missing sides, given enough information. Distinguishing the different units involved in perimeter and areas of differing 2D shapes. Pupils having the ability to split composite shapes into two or more named 2D shapes and calculating the areas of them in a methodical way. For higher ability pupils, being able to find new areas when enlarged by a specific scale factor.
Calculating volumes by finding areas of individual layers. Using the formula correctly to find the volumes of prisms and recognising the shape of the cross-section.
Key Vocabulary
Perimeter, area, rectangle, square, triangle, parallelogram, trapezium, kite, parallel, composite, estimating, enlargement, scale factor, volume, capacity, millilitre, prism, cross-section.
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 and the investigation.
Set 1 Marks 15 - 20 By
Marks 6 - 15 Ac
Marks 0 - 6 T
Set 2 Marks 18 - 20 By
Marks 10 - 18 Ac
Marks 0 - 10 T
Set 3 Marks 18 - 20 By
Marks 10 - 18 Ac
Marks 0 - 10 T
Set 4 Marks 18 - 20 Ac
Marks 0 - 18 T
Mathematics Module 4 (weeks 25 - 32) Graphs, Straight Lines and Intersecting lines
Aims
Pupils being able to read from graphs and convert one variable from another. Being able to complete a table of given values and construct a linear graph accordingly. To convert a worded expression into an algebraic expression. Being able to convert 12 hour to 24 hour time and vice-versa and then working on problems related to time. As an extension, being able to draw accurately distance-time graphs.
Following from this chapter, pupils able to distinguish and label vertical and horizontal lines. Comparing steepness of lines and then concentrating on labelling parallel lines.
Looking into the crossing point of linear graphs by graphical means and for higher ability pupils, working on an algebraic method of simultaneous equations.
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, 10 and 16.
GCSE
Skills (Level 5 pupils are expected to fully understand the majority of the following)
To complete in full a table of values by simple calculation and drawing an accurate linear graph and subsequently reading from the graph. The ability to write expressions and formulae from a given worded problem and draw corresponding graphs. Distinguishing from 12 and 24 hour time and solving time problems. Foe extension pupils having the ability to read a problem and draw a travel graph or read from a given graph to answer a problem.
Being able to draw and read horizontal and vertical graphs. Seeing relationships amongst lines when steepness changes and knowing conditions for parallel lines.
Being able to substitute numbers in formulae and draw graphs. Finding the intersection point of two given linear graphs and for extension able to find these points through algebraic means.
Key Vocabulary
Graph, conversion, horizontal, vertical, formula, equation, time, 12 hour, 24 hour, distance, steepness, coordinate, parallel, intersection, simultaneous.
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.
Set 1 Marks 15 - 20 By
Marks 6 - 15 Ac
Marks 0 - 6 T
Set 2 Marks 18 - 20 By
Marks 10 - 18 Ac
Marks 0 - 10 T
Set 3 Marks 18 - 20 By
Marks 10 - 18 Ac
Marks 0 - 10 T
Set 4 Marks 18 - 20 Ac
Marks 0 - 18 T
Mathematics Module 5 (week 33 to end of year) Revision Week – revising all topics studied this year and mental test preparation.
End of year assessment – this will be a combination of a written examination, part of which will be non-calculator, a mental test and the average mark from chapter tests. These are weighted so that of the final mark, 75% is based on the written examination mark, 15% is based on the mental test mark and 10% is based on the average chapter test mark. All sets sit the same written examination and mental test.
The assessment grades of Beyond, Achieving and Working Towards will then be given based on the overall percentage. The grade boundaries shown below are approximate.
After exam week concentrate on Chapters 3 and 13 (Statistics, including stem and leaf tables and averages) and Chapter 5 involving transformations.
YEAR 9 Mathematics Module 1 (weeks 1 – 8) Set 1Number, Accuracy and Loci Aims Major Outcomes GCSE Skills (Level 6 pupils are expected to fully understand the majority of the following) Key Vocabulary Homework ICT Assessment 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) Set 1 Pythagoras, Circles and Volume Aims Major Outcomes GCSE Skills (Level 5 pupils are expected to fully understand the majority of the following) Key Vocabulary Homework ICT Assessment Aims Major Outcomes GCSE – Skills (Level 6 pupils are expected to fully understand the majority of the following) Key Vocabulary Homework ICT Assessment Mathematics Module 4 (weeks 25 – 32) Set 1 Statistics, Probability and Trigonometry Aims GCSE Skills (Level 6 pupils are expected to fully understand the majority of the following) Key Vocabulary Homework ICT Assessment 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)Set 1 Plotting and Sketching Graphs, Transformations, SATS revision and Coursework Aims Major Outcomes Skills (Level 6 pupils are expected to fully understand the majority of the following) Key Vocabulary Homework ICT Assessment Attainment: You will be marked By – Beyond, Ac – Achieving or WT – Working towards, based on your chapter test marks. Mathematics Module 1 (weeks 1 – 8) Sets 2 & 3 Number, Decimals and Accuracy Aims Major Outcomes GCSE Skills (Level 5 pupils are expected to fully understand the majority of the following) Key Vocabulary Homework ICT Assessment Mathematics Module 2 (weeks 9 – 16) Sets 2&3 Pythagoras, Circles and Volume Aims Major Outcomes GCSE Skills (Level 5 pupils are expected to fully understand the majority of the following) Key Vocabulary Homework ICT Assessment Mathematics Module 3 (weeks 17 – 24) Sets 2&3 Angles, Formulas and Algebra Aims Major Outcomes GCSE Skills (Level 5 pupils are expected to fully understand the majority of the following) Homework ICT Assessment Mathematics Module 4 (weeks 25 – 32) Sets 2&3 Statistics, Probability and Algebra Aims Major Outcomes GCSE Skills (Level 6 pupils are expected to fully understand the majority of the following) Homework ICT Assessment Mathematics Module 5 (Weeks 33 – 40) Sets 2,3 Algebra (Trial & Improvement and Inequalities), SATS revision and Coursework Aims Major Outcomes GCSE Skills (Level 6 pupils are expected to fully understand the majority of the following) Key Vocabulary Homework ICT Assessment Mathematics Module 1 (weeks 1 – 8) Set 4 Decimals, Fractions, Negative Numbers and Percentages Major Outcomes GCSE Skills (Level 5 pupils are expected to fully understand the majority of the following) Key Vocabulary Homework ICT Assessment Aims Major Outcomes GCSE Skills (Level 5 pupils are expected to fully understand the majority of the following) Key Vocabulary Homework ICT Assessment Attainment : You will be marked By – Beyond, Ac – Achieving or WT – Working towards, based on your chapter test marks. Aims Major Outcomes GCSE Skills (Level 5 pupils are expected to fully understand the majority of the following) Key Vocabulary Homework ICT Assessment Aims Major Outcomes GCSE Skills (Level 5 pupils are expected to fully understand the majority of the following) Key Vocabulary Homework ICT Assessment
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 apply fractions in calculations of ratios and speed, distance, time calculations. To approximate numbers and measurements to an appropriate degree of accuracy through the use of rounding and significant figures and understand that approximating causes errors in measurement and therefore work out the accuracy of results.
To understand standard form notation, and be able to use in calculations and learn the rules of multiplying and dividing numbers written to a power. To learn and be able to construct the locus of a point, a line and combinations of the two. To construct the bisection of angles and lines.
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, 5 and 12.
To be able to make and justify estimates and approximations of calculations.
Recognise limitations on the accuracy of data and measurements.
Know and use the index laws for multiplication and division of positive integer powers.
Use measures of speed and other compound measures to solve problems.
Find the locus of a point that moves according to a simple rule and know how to construct a perpendicular bisector and angle bisector using a pair of compasses.
significant, upper and lower limits, minimum, maximum, standard form, index number, powers, locus, perpendicular bisector, equidistant, circumscribed
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
Effort: The ability to meet deadlines; Contribution to class and homework; Ensuring all books and full equipment is brought to school
To introduce Pythagorean triples, finding the hypotenuse and finding any side of a right angled triangle.
To be able to calculate the length around the outside of a circle and the area of a circle.
To learn about prisms and how to calculate their volume.
To be able to convert units of capacity into those of volume and vice versa.
To use dimension theory to deduce whether a formula is for length, area or volume.
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 1, 3 and 6.
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.
Hypotenuse, adjacent, circumference, π, prism, cross-section, dimension.
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
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) Set 1 Formulas and Algebra
To revise using formulae to simplify real life problems. To consolidate knowledge of order of operations within an equation. To revise finding the rule for linear sequences and those containing a squared term. To use trial and improvement to find an unknown. To be able to simplify algebraic expressions through collecting like terms and factorising. To multiply out factorisations involving 2 brackets and simplify. To solve linear equations and learn how to manipulate formulae. To revise plotting straight line graphs. To learn how to solve simultaneous equations graphically, and algebraically. To learn how to show inequalities on a Cartesian plane.
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 2, 8 and 13.
Construct and solve linear equations with integer coefficients, using an appropriate method.
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.
Given values for m and c, find the gradient of lines given by equations of the form y = mx + c.
Construct functions arising from real-life problems and plot their corresponding graphs; interpreting graphs arising from real situations.
Square a linear expression and expand the product of two linear expressions of the form x±n; establish identities.
Solve a pair of simultaneous linear equations by eliminating one variable; link a graphical representation of an equation or a pair of equations to the algebraic solution.
Change the subject of a formula.
Sequence, square root, nth term, collecting terms, power, simplify, factorise, subject, gradient, point of intersection, simultaneous, inequality, region.
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
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.
To learn how to use a variety of statistical techniques to calculate averages and range and how to construct and use cumulative frequency diagrams. 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, how to construct and use probability tree diagrams. To learn the basic concepts of trigonometry.
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 4, 9 11 and 10.
To be able to calculate averages and range for sets of data, including grouped data. To be able to complete cumulative frequency tables and diagrams and to use these to determine medians, quartiles and inter quartile ranges. 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 construct probability tree diagrams and to use these to fine the probabilities of combined events. To be able to use the trigonometric functions sine, cosine, tangent to find unknown lengths and angles in right angled triangles.
Discrete data, continuous data, bar chart, mean, mode, median, range, grouped data, cumulative frequency, lower quartile, upper quartile, inter- quartile range, scatter diagrams, correlation (positive, negative, none), line of best fit, pie charts, misleading diagrams, sample space diagrams, probability scale, probability of something happening/not happening, frequency, relative frequency, tally chart, sample space diagram, independent events, tree diagrams, trigonometry sine, cosine, tangent, (and inverse sine, cosine or tangent), opposite, adjacent, hypotenuse.
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
Effort: The ability to meet deadlines; Contribution to class and homework; Ensuring all books and full equipment is brought to school
To learn how to draw and sketch curves. To learn how to apply transformations to shapes and how to calculate lengths of sides for similar triangles. To revise thoroughly for SATS using past SATS papers. To prepare for the Year 10 GCSE Statistics coursework
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 14, 15, 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
To be able to plot points and draw the curves for graphs from their algebraic equations. To be able to sketch graphs and to find the gradients of curves at different points. To be able to transform shapes by reflection, translation, rotation or enlargement. To be able to identify whether two triangles are similar and to be able to calculate the lengths of an unknown side of either triangle. 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, and calculation of standard deviation.
Graph, gradient of a curve, sketch graph, transformation, object, image, congruent, line of reflection, translation, rotation, centre of rotation, combined transformations, enlargement, centre of enlargement, similar, similar triangles.
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
Effort: The ability to meet deadlines; Contribution to class and homework; Ensuring all books and equipment are brought to lessons.
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.
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.
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.
Percentage, increase, decrease, ratio, proportion, rounding, decimal places, significant figures, estimate, standard form, upper and lower limits.
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
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.
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.
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.
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.
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.
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
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.
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.
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.
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.
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
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.
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.
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.
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
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
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.
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
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.
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.
Trial and improvement, inequalities, number line.
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
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.
Aims
To revise adding, subtracting, long multiplication and long division. To understand decimals and be able to order them. To be able to add, subtract, multiply and divide decimals. To reinforce rounding numbers to a degree of accuracy. To improve understanding of fractions through representation and equivalency.
To be able to convert between mixed and improper fractions. To calculate fractions of a quantity.
To learn the principles of negative numbers and be able to compare through basic inequalities. To learn to use number scales to aid work with negative numbers and sequences.
To be able to convert between fractions, percentages and decimals and vice versa. To find percentages of a quantity.
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, 14, 10 and 16.
Use basic number skills to solve written problems.
Use the equivalence of fractions, decimals and percentages to compare proportions, and find the percentage increase or decrease of a quantity.
Make and justify estimates and approximations of calculations.
To order negative numbers from largest to smallest and vice versa.
To solve problems involving both negative and positive numbers
Rounding, percentage, increase, decrease, equivalent, improper fraction, decimal places, estimate.
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
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) Set 4 Area, Symmetry, Volume, Estimation & Measurement
To Learn how to find the areas of a variety of shapes including rectangles, parallelograms and triangles.To understand the concepts of line symmetry, rotational symmetry and symmetry in three dimensions (3D). To understand units of capacity and volume and how to calculate the volumes of various shapes, including cuboids. To understand how to estimate lengths and how to convert units of weight and length from Metric to Imperial and vice versa. To understand how to calculate the perimeter of different shapes.
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 1, 3, 6 and 5.
Area, square, centimetres squared, triangle, rectangle, parallelogram, length, width, height, base, line of symmetry, mirror line, regular shape, rotational symmetry, order of rotational symmetry, centre of rotation, symmetry in 3D, isometric paper, capacity, millilitres, litres, volume, cuboid, centimetres cubed, volume of a cuboid, kilometres, metres, centimetres, millimetres, kilograms, grams, yards, feet, inches, miles, kilometres, perimeter.
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
Effort: The ability to meet deadlines; Contribution to class and homework; Ensuring all books and equipment are brought to lessons.
Mathematics Module 3 (Weeks 17 – 24) Set 4 Algebra (factors, primes, square and triangle numbers plus formulas) and Time
To learn how to find all the factors of any given number and how to find multiples of any number. To be able to identify prime numbers, triangle numbers and square numbers. To be able to represent formulas as function machines and to use inverse function machines to solve simple equations. To be able to plan time using a calendar and both the 12 hour clock and 24 hour clock.
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 8, 13 and 9.
To be able to identify and list factors, prime numbers, triangle numbers and square numbers. To be able to represent formulas as function machines and to use inverse function machines to solve simple equations. To be able to plan dates using a calendar and to plan time using the 12 hour and 24 hour clock.
Factor, prime numbers, multiples, square numbers, triangle numbers, perimeter, patterns, formulas, function machines, inverse function machines, calendar, am, pm, timetables
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
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.
Mathematics Module 4 (Weeks 25 – 32) 9 Set 4 Angles, Statistics (pictograms, tally tables, pie charts, averages)
To learn the names of different types of angles, how to use a protractor or angle measurer, how to calculate unknown angles on a straight line and in a triangle, how to make accurate drawings of triangles. To learn how to create tally tables and how to draw and interpret pictograms, bar charts and pie charts. To learn how to work out the mean, mode median and range of a set of data.
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 12, 4, 11
To be able to identify different types of angles, to draw and measure angles accurately and to calculate unknown angles on a straight line and in a triangle. To be able to construct triangles accurately. To be able to create and interpret tally tables, pictograms, bar charts and pie charts. To be able to calculate the mean, mode median and range for a set of data
Turns (quarter, half, three quarter, full), clockwise, anticlockwise, acute, obtuse, reflex, right angle, protractor, angle measurer, angles on a straight line, angles in a triangle, pictogram, key, barchart, tally marks, tally table, frequency, pie charts, mean, mode, median, range.
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.
You may get the opportunity to use Excel, LOGO, Omnigraph or the Internet.
Effort: The ability to meet deadlines; Contribution to class and homework; Ensuring all books and equipment are bro
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