# Inequalities Worksheet with Answers - Excel

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```					LLANTWIT MAJOR SCHOOL                                                                                                                                                  YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3

Students will
OBJECTIVE

Resources
CHAPTER

AIMS &

C3 Book
TOPIC

learn…

page:
S
1 PERCENTAGES
1. Financial                    (a) to calculate percentage increases and decreases                  2,3              Teacher File C3 Chapter 1
Calculations                    (b) to use a multiplying factor for such increases and decreases.                     Non Calculator Percentage Worksheet
2. Profit and                   (a) the relationship between cost price, selling price,              4,5              Simple / Compound Interest Interactive
Loss                            profit and loss                                                                       Percentage Cards Worksheet
(b) to calculate percentage profit and loss                                           Percentages Revision Worksheet
(c) to calculate selling price.                                                       10 Ticks Level 5 Pack 2 p28-32
10 Ticks Level 6 Pack 3 upto p18
3. Reverse                      (a) to perform inverse calculations to find the original             6,7              10 Ticks Level 7-8 pack 2 p19-22
Percentage                      cost price.
Calculations

4. Interest                     (a) to calculate simple interest.                                    8,9

5. Review                                                                                            10,11

Mental Test                              TIME SCALE:                                           5 lessons

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LLANTWIT MAJOR SCHOOL                                                                                                                   YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
2 ALGEBRAIC
EXPRESSIONS 1. Expressions     (a) revise vocabulary: variable, expression, simplify,       12,13   Teacher File C3 Chapter 2
like and unlike terms, factorise and expand                          Simplifying Expressions Worksheet
(b) simplify simple linear expressions                               Collecting Like Terms Worksheet
(c) factorise simple linear expressions                              Forming Expressions Worksheet
(d) multiply a constant over a bracket.                              Substitution Exam Questions Worksheet
10 ticks level 5 pack 5 p8-21
2. Indices       (a) the meaning of index, power, and base                    14,15   10 ticks level 6 pack 1
(b) be reminded that n5 means n x n x n x n x n                      10 ticks level 7-8 pack 3 p11 onwards
(c) be introduced to the laws of indices

3. Expanding two (a) expand two brackets in the form (x ± a) (x ± b)          16,17
Brackets         (b) simplify the result
2
(c) expand (x ± a)

4. Further       (a) simplify more complicated non-linear expressions         18,19
Expressions      (b) use laws of indices to simplify expressions
(c) factorise simple non-linear expressions.

5. Review                                                                     20,21

Test 1,2                                          TIME SCALE:                                     6 lessons

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LLANTWIT MAJOR SCHOOL                                                                                                                     YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
3 DOING A
SURVEY     1. Collecting   (a) to write a questionnaire with clear and unbiased questions         22,23 Teacher File C3 Chapter 3
Information     (b) to give a suitable set of responses for each question                    Interpreting pie charts worksheet (hard)
(c) to recognise flaws in questions.                                         Pie charts interactive
Template of circles and tables
2. Displaying   (a) learn to distinguish between categorical and numerical data        24,25 Scatter Graphs Interactive
Data            (b) revise how to draw a tally chart and a bar chart                         Using Excel To Draw Scatter Graphs Worksheet
(c) learn to use a two-way table.                                            Using Excel To Draw Scatter Graphs Worksheet 2
Drawing Scatter Graphs Worksheet
3. Pie Charts   (a) Draw and interpret pie charts                                      26,27 Correlation Presentation
(b) to decide when a pie chart is an appropriate display to use              Questionaires Presentation
10 ticks level 6 pack 6, p11-14
4. Grouped      (a) to distinguish between discrete and continuous numerical data      28,29 10 ticks level 7-8 pack 6 p35,36
Data            (b) to understand and use class intervals for
continuous data, expressed using inequalities
(c) to make a grouped tally chart and grouped
frequency chart for continuous data.
(d) to make a frequency polygon

5. Scatter      (a) to draw and interpret scatter diagrams                             30,31
Diagrams        (b) to draw a line of best fit by eye and use it to make predictions
(c) the meaning of positive correlation and negative correlation

6.Review                                                                               32,33

Test 3, mental test                                         TIME SCALE:Middle of October                7 lessons
End of Half Term

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LLANTWIT MAJOR SCHOOL                                                                                                                 YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
4 EQUATIONS
1. Solving        (a) to solve equations involving fractiona and decimals       34,35 Teacher File C3 Chapter 4
Equations                                                                             Solving equations revision worksheet
Forming equations using angle facts / perimeter
2. Solving More   (a) solve equations involving negative coefficients of x      36,37 Forming equations using angle facts / perimeter
Equations                                                                             Forming equations: Think of a Number w/s
Linear Equations Interactive
3. Forming        (a) form equations using given information                    38,39 Solving linear equations worksheet (hard)
Equations                                                                             10 Ticks Level 6 pack 1 p6-10, 15, 16-18, 20,37-38
Trial & Improvement Game Interactive
4. Trial and      (a) form equations from written information                   40,41 Trial & Improvement Interactive
Improvement       (b) use ‘trial and improvement’ to solve equations                  10 ticks level 6 pack 4 p26-30

5. Review                                                                       42,43

TIME SCALE: End of half term.                  5 lessons

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LLANTWIT MAJOR SCHOOL                                                                                                                     YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
5 WORKING
WITH       1. Angles         (a) the meaning of adjacent and exterior with respect to angles    44,45 Teacher File C3 Chapter 5
POLYGONS                     (b) a demonstration and a proof that angles in a                         Calculating angles at a point worksheet
triangle add up to 180°                                                  Target board 360 starter
(c) the difference between a demonstration and a proof                   Target board 180 starter
(d) how to use the interior angle sum of a triangle to                   10 ticks level 5 pack 3, p1-6 and 17-28
prove that the interior angles of a quadrilateral add up to 360°         Angle calculations worksheet (hard)
10 ticks level 6 pack 2 p23-36
2. Angles of      (a) a formula for the sum of the interior                          46,47 10 ticks level 6 pack 5 p27-30,39 onwards
Polygons          angles of a polygon with n sides                                         10 ticks level 7-8 pack 2 upto p12
(b) that the sum of the exterior angles
of a polygon is 360°.

3. Regular        Students will be reminded                                          48,49
Polygons          (a) of polygon names
(b) of the requirements for a polygon to be regular.
Students will learn
(c) how to construct a regular polygon
(d) angle properties of regular polygons.

3. Pythagoras     (a) the meaning of hypotenuse                                      50,51
(b) Pythagoras’ rule
(c) the standard equation form of Pythagoras’ rule.

4. Using          how to use Pythagoras’ rule to find a shorter side                 52,53
Pythagoras rule

5. Review                                                                            54,55

TEST 4,5                                                 TIME SCALE: End of November                       6 lessons

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LLANTWIT MAJOR SCHOOL                                                                                                                         YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
6 SEQUENCES
1. Generating    (a) learn the meanings of sequence, term-to-term rule,                  56,57 Teacher File C3 Chapter 6
Sequences        position-to-term rule and function                                            Sequences Worksheet
(b) find simple term-to-term and position-to-term                             Sequences Worksheet Answers
rules given the sequences                                                     Sequences Presentation
(c) generate sequences given their rules.                                     10 Ticks level 5 pack 5 p25 onwards
10 Ticks level 7-8 pack 1 p37 onwards
2. Linear        (a) what a linear sequence is                                           58,59
Sequences        (b) to find the nth term of a linear sequence.

3. Using         (a) how to print a linear sequence on a spreadsheet                     60,61
Spreadsheets     (b) properties of the 1st and 2nd difference columns in
such sequences
(c) what a quadratic sequence is.

4. Spatial       (a) continue a spatial pattern                                          62,63
Patterns         (b) justify a rule for the nth term by considering spatial properties

5. Review                                                                                64,65

TIME SCALE: End of November                     5 lessons
11 CIRCLES
1. Circumference (a) be reminded of the names of parts of a circle                       66,67 Teacher File C3 Chapter 7
and diameter     (b) discover the relationship between the diameter and                        Area Of Circles Worksheet
circumference of a circle                                                     Area Of Circles Worksheet 2
(c) learn that two approximate values of pi are 3.14 and 22/7                 Circumference and Diameter Presentation
(d) learn how to calculate arc length                                         10 Ticks level 6 pack 5 p33-38
Area and Perimeter Circles Worksheet
2. Area of a     (a) deduce the formula for the area of a circle                         68,69 10 ticks level 7-8 pack 5 p7-10
Circle           (b) learn how to calculate the area of a sector

3. Circle        (a) learn that the locus of a point in two dimensions is                70,71
Constructions    a circle and in three dimensions is a sphere
(b) learn how to construct a tangent to a circle
(c) learn the meanings of tangent, chord and segment
(d) be reminded of loci.
4. Review                                                                                72,73
TEST 6,7                                                    TIME SCALE: End of November                     5 lessons

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LLANTWIT MAJOR SCHOOL                                                                                                                        YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
8 RATIO
1. Ratio          (a) simplification of ratios                                       74,75 Teacher File C3 Chapter 8
(b) equivalence of ratios                                                Ratio Review Worksheet
(c) division in a given ratio                                            Ratio & Proportion Worksheet
(d) using proportion                                                     Ratio & Proportion Worksheet Answers
(e) finding a missing quantity in a given ratio                          10 Ticks level 5 pack 3 p9-11
10 ticks level 5 pack 2 p39 onwards
2. Ratios and     (a) that there is a relationship between the ratio                 76,77 10 ticks level 6 pack 4 p3-16
Similar Figures   of the areas of similar figures and the ratio of their lengths           10 ticks level 7-8 pack 5 p23-28
(b) that there is a relationship between the ratio
of the volumes of similar figures and the ratio of their lengths

3. Review                                                                            78,79

NB Miss out direct, inverse proportion and miss last question on test

Test 8, Mental test                                     TIME SCALE:Middle of December                   4 lessons
End of Term
9 SIMULTANEOUS
EQUATIONS 1. Solving Pairs     (a) what simultaneous equations are                                80,81   Teacher File C3 Chapter 9
of Equations        (b) to solve simultaneous equations graphically                            Simultaneous Equations Interactive
(c) to solve simultaneous equations by substitution                        10 Ticks Level 7-8 Pack 4 upto p12

2. Simultaneous   (a) to solve simultaneous equations by elimination.                82,83
Equations

3. Simultaneous   (a) to solve more simultaneous equations by elimination            84,85
Equations

4. Simultaneous   (a) to solve simultaneous equations which need first to            86,87
Equations         be multiplied through by a constant

5. Review                                                                            88,89

TIME SCALE: End of term.                        5 lessons

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LLANTWIT MAJOR SCHOOL                                                                                                                     YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
10 FRACTIONS
1. Fractions in   (a) to use the many terms associated with fractions in an      90,91 Teacher File C3 Chapter 10
Algebra           appropriate way                                                      Adding Fractions Interactive
(b) to add, subtract and cancel simple algebraic fractions           Adding Fractions Worksheet
(c) to relate fractions in algebra and arithmetic.                   Adding / Subtracting Fractions Interactive (Hard)
2. Working with (a) to add and subtract mixed numbers                            92,93 Fractions Interactive (+,-,*,/)
Mixed Numbers (b) to multiply and divide mixed numbers.                                Fractions / Ratio Worksheet
Equivalent Fractions Worksheet
3. Review                                                                        94,95 Mixed Numbers Interactive
Multiplying Fractions Interactive
Dividing Fractions Interactive
10 ticks level 5 pack 2, p28 onward
10 ticks level 6 pack 3
10 Ticks level 7-8 pack 2 p23-28
.
Test 9,10                                           TIME SCALE: End of term.                         4 lessons
11 GRAPHS
1. Mapping        (a) what a mapping diagram is and how to draw one              96,97 Teacher File C3 Chapter 11
Diagrams          (b) how to recognise the identity mapping.                            Equation Of A Straight Line Presentation
Equation Of A Straight Line Worksheet
2. Inverse        (a) to find a formula for a simple inverse function            98,99 Equation Of A Straight Line Worksheet Answers
Mappings                                                                                Chapter Review Worksheet
Chapter Review Worksheet 2
3. Straight Lines (a) how to plot a straight line graph                          100-   10 ticks level 5 pack 4, p23-30
101 10 ticks level 6 pack 1 p27 onwards
4. Straight Line (a) how to find the gradient of a line                          102-   10 ticks level 7-8 pack 1 p21-30
Graphs           (b) to recognise the equation of a straight line                  103 10 ticks level 7-8 pack 3 p29
(c) how the gradient and intercept are connected to y=mx+c

5. Curves         (a) to plot a graph which results in a curve                   104-
(b) to predict from the equation whether a graph is a            105
straight line or a curve
(c) to recognise quadratic and cubic functions

6. Review                                                                        106-
107
TIME SCALE: End of term.                         6 lessons

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LLANTWIT MAJOR SCHOOL                                                                                                                   YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
12 CONSTRUCTION
& LOCUS    1. Using Scale     (a) use maps and scale drawings to solve real life            108-    Teacher File C3 Chapter 12
Drawings           problems.                                                        109 Perpendicular To A Line Presentation
Perpendicular From A Line Presentation
2. Congruence & (a) be reminded of the meaning of congruent and similar        110-    Making Scale Drawings Presentation
Similarity      (b) learn when three measurements for a triangle                   111 Bearings Presentation
uniquely define it.                                                    Bearings Interactive
Bearings Worksheet
3. Locus         (a) be reminded about locus                                   112-    10 ticks level 5 pack 3 p7-11
(b) learn to solve more advanced locus problems,                 113 10 ticks level 6 pack 4 p31-32
including some in three dimensions.                                   10 ticks level 6 pack 2 p27-36
10 ticks level 7-8 pack 5 p7-10
4. Review                                                                      114-
115
Test 11,12                                         TIME SCALE: End of term.                         5 lessons
End of Half Term

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LLANTWIT MAJOR SCHOOL                                                                                                           YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
13 WORKING
WITH DATA   1. The Mean      (a) to calculate the mean of a small set of data            116-   Teacher File C3 Chapter 13
(b) to calculate the mean of a large set of data from a        117 Calculating the Mean Worksheet
frequency table                                                    Calculating the median worksheet
Calculating the median worksheet
2. Median Mode   (a) to find the median of a small set of data               118-   Calculating the mode worksheet
And Range        (b) when the median may be more appropriate than the mean      119 Calculating the mode worksheet
(c) to find the mode of a set of data                              averages and range interactive
(d) to find the range of a set of data.                            averages and range worksheet
averages and range worksheet
3. Stem & Leaf   (a) to display data in a stem-and-leaf diagram              120-   Averages worksheet
Diagrams         (b) to use a stem-and-leaf diagram to find the median          121 Which average? Worksheet
(c) to use a stem-and-leaf diagram to find the modal               Finding the range worksheet
class of a set of data.                                            10 Ticks Level 5 pack 6 upto p6
Mean From A Frequency Table Worksheet
4. Estimating the (a) to estimate the mean of a set of grouped data by       122-   Mean From A Frequency Table Presentation
mean of Grouped using mid-interval values.                                      123 Mean Of Grouped Data Worksheet
Data                                                                                Mean Of Grouped Data Presentation
10 ticks level 7-8 pack 6 p33-34
5. Estimating the (a) to construct a cumulative frequency table from a       124-
Spread of         set of grouped data                                           125
Grouped Data      (b) to draw a cumulative frequency graph
(c) to use a cumulative frequency graph to estimate
the median of a set of grouped data.

6. Estimaing     (a) to estimate the range of a set of grouped data          126-
Spread           (b) to use a cumulative frequency graph to estimate the       127
interquartile range of a set of grouped data
(c) to use the interquartile range to compare the
spread of two sets of data.

7. Review                                                                    128-
129
TIME SCALE: End of term.                     7 lessons

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LLANTWIT MAJOR SCHOOL                                                                                                                YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
14 INDICES &
STANDARD    1. Using         (a) to multiply and divide using indices                      132-  Teacher File C3 Chapter 14
FORM        Indices          (b) to understand zero and negative numbers as indices          133 Standard Form Worksheet
2. Writing Large (a) to write large and small numbers in standard form         134-  Standard Form Presentation
and Small        (b) to order numbers written in standard form.                  135 10 Ticks Level 5 pack 1 p33-36
Numbers                                                                              10 Ticks Level 6 pack 4 p23
10 Ticks Level 7-8 pack 2 p32-40
3. Standard      (a) to enter a number in standard form on their calculator    136-
Form on the      (b) to interpret the display when a calculator shows a          137
Calculator       number in standard form.

4. Review                                                                      138-
139
TEST 13,14                                         TIME SCALE: End of term.                       5 lessons
15 FORMULAE
1. Formulae      (a) to construct a formula from given information             140-   Teacher File C3 Chapter 15
(b) to substitute values into a formula.                         141 Substitution Exam Questions Worksheet
Substitution Worksheet
2. Rearranging   (a) to rearrange a formula.                                   142-   10 Ticks level 4 pack 5 p42 onwards
Formulae                                                                         143 10 Ticks level 5 pack 5 p33-34
10 Ticks Level 7-8 pack 3 p21-26
3. Review                                                                      144-
145
mental test                                        TIME SCALE: End of term.                       3 lessons
End of Term

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LLANTWIT MAJOR SCHOOL                                                                                                               YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
16 ACCURACY
1. Accuracy     (a) to understand significant figures                        146-   Teacher File C3 Chapter 16
(b) to round to a given number of significant figures          147 Rounding to decimal places Interactive
Estimation Presentation
2. Range of     (a) that a measurement to a given degree of accuracy is      148-   Rounding to decimal places Presentation
Values          really a range of values                                       149 Using Rounding in Calculations Worksheet
(b) that calculations with measured values produce an               Rounding To Significant Figures Presentation
even wider range of values                                          10 Ticks Level 4 pack 3 p7-8
10 Ticks Level 5 pack 2 p27
3. Estimating   (a) to estimate answers to problems that are difficult to    150-   10 Ticks Level 6 pack 4 p21-25
(b) to round the numbers in a calculation to 1 significant
figure to provide an estimate of the answer
(c) to estimate square and cube roots.

4. Review                                                                    152-
153
test 15,16                                        TIME SCALE: End of term.                       5 lessons
17 THREE
DIMENSIONS 1. Viewing        (a) to view 3-D solids using the plan, side elevation and    154-   Teacher File C3 Chapter 17
Solids            front elevation.                                               155 Plans and Elevations Presentation
Isometric Drawing Worksheet
2. Planes of    (a) how to recognise planes of symmetry.                     156-   Isometric Drawing Rotation Worksheet
Symmetry                                                                       157 Isometric Drawing Rotation Worksheet Answers
Isometric Drawing Interactive
3. Cylinders    (a) to find the volume and surface area of a cylinder        158-   Chapter Review Worksheet
159 10 ticks level 6 pack 2 p37 onwards
4. Review                                                                    160-   10 ticks level 6 pack 5 p23-26
161 10 ticks level 5 pack 4 p41 onwards
10 ticks level 5 pack 6 p35 onwards
Composite Volumes Worksheet

TIME SCALE: End of term.                       4 lessons

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LLANTWIT MAJOR SCHOOL                                                                                                                   YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
18 REAL LIFE
GRAPHS      1. Shapes Of      (a) to interpret a range of linear and non-linear              162-  Teacher File C3 Chapter 18
Graphs            graphs arising from real situations                              163 10 Ticks Level 5 Pack 6 p19-29
(b) to draw and sketch graphs to illustrate real                     10 Ticks Level 6 Pack 5 p3-4, 15-20
situations
(c) to obtain information from graphs of real situations.

2. Working with (a) to plot graphs to illustrate real situations                 164-
Equations of    (b) to obtain information from equations of                        165
Graphs          graphs of real situations

3. Review                                                                        166-
167
TEST 17,18                                          TIME SCALE: End of term.                      4 lessons
End of Half Term
19 TRANS-
FORMATIONS 1. Trans-           (a) that a transformation is a movement of shape               168-   Teacher File C3 Chapter 19
formations          (b) of the nature of translations, reflections and               169 Enlargement Worksheet
rotations and how to specify them and combinations of them            Enlargement Worksheet Answers
(c) that in translations, reflections and rotations the               Reflection Worksheet
object and image are congruent.                                       Reflection Worksheet 2
Reflection Worksheet 3
2. Enlargement    (a) of the nature of an enlargement and how to draw one        170-   Rotation Presentation 1
and similar       (b) of the meaning of scale factor                                171 Rotation Presentation 2
figures           (c) how to find the centre of enlargement                             Rotation Interactive
(d) of the relationship between scale factor and                      Translation Worksheet
corresponding object and image lengths.                               10 Ticks level 4 pack 7 p29-38
10 Ticks level 5 pack 4 p31-35
3. Fractional     (a) be reminded that under an enlargement the object and the   172-   10 Ticks level 6 pack 2 p3-22
Enlargements      image are similar                                                173 10 Ticks level 7-8 pack 4 p31 onwards
(b) extend their knowledge of enlargements from positive
integer scale factors to fractional scale factors.

4. Review                                                                        174-
175

Test 19, mental test                                TIME SCALE: End of term.                      5 lessons

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LLANTWIT MAJOR SCHOOL                                                                                                                     YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
20 INEQUALITIES
1. Inequality      (a) to recognise and use inequalities signs                   176-  Teacher File C3 Chapter 20
Signs              (b) to write information as inequalities                        177 10 Ticks Level 6 Pack 6 p7,8
(c) that inequalities can be read in both directions                10 Ticks Level 7-8 Pack 4 p13-16

2. Inequality    (a) to show inequalities on a number line                     178-
Number Lines     (b) to use number lines to solve simultaneous                   179
inequalities.

3. Solving       (a) to solve inequalities                                     180-
Inequalities     (b) to describe regions using inequalities                       181

4. Review                                                                      182-
183
TIME SCALE: End of term.                      4 lessons
21 PROBABILITY
1. Calculating   (a) the meaning of the term mutually exclusive                184-  Teacher File C3 Chapter 21
Probabilities    (b) that the probabilities of all the mutually exclusive        185 Probability Interactive
outcomes of an experiment add up to 1.                              Probability Scales Worksheet
Probability Spinners Worksheet
2. Combined      (a) to find all the possible outcomes of                      186-  Relative Frequency Interactive
Outcomes         two or more events, using a list or a table                     187 One Dice experiment interactive
(b) to use a list or table to find probabilities                    10 Ticks Level 4 pack 6 p27-39
10 Ticks Level 5 pack 1 p39-43
3. Estimating    (a) to use relative frequency as an estimate of probability   188-  10 Ticks Level 6 pack 6 p22-42
Probabilities    (b) that the more trials that are carried out, the more         189 10 Ticks Level 7-8 pack 1 p1-18
reliable the results.

4. Review                                                                      190-
191
Test 20,21                                         TIME SCALE: End of term.                      5 lessons

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LLANTWIT MAJOR SCHOOL                                                                                                                   YEAR 9 SET 1 SCHEME OF WORK

KEY STAGE 3
22 TRIGONOMETRY
1. Right Angled    (a) the meaning of hypotenuse, opposite and adjacent           192-  Teacher File C3 Chapter 22
Triangles          (b) the ratios of pairs of sides.                                193

2. Trig ratios   (a) the definitions of the three trigonometrical ratios:       194-
sinx, cosx and tanx                                              195
(b) how to calculate each ratio using measurements or
a calculator.

3. Finding       (a) how to find lengths given one side and one angle of        196-
Lengths          a right-angled triangle.                                         197

4. Finding       (a) to calculate inverse trigonometrical values using a        198-
Angles           calculator                                                       199
(b) how to calculate angles given two sides of a rightangled
triangle.

5. Review                                                                       200-
201
Test 22, mental test                                TIME SCALE: End of term.                       6 lessons
End of Term

Page 15                                         e56fbeba-8a6b-459a-8cd7-314ef3f89def.xls

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