The Lesson Contents
Below are details of the contents of the ConquerMaths program. However, please don't assume that your daughter or son will have to cover all of this. Each student using ConquerMaths follows the areas of work that are particularly relevant to the student's needs as advised by their teacher and from their own knowledge..
Each of the 480 lessons comes with an audio/animated tutorial lasting around 5 minutes, one page printable summary, printable worksheet with automatic marking and worked solutions as well as individual students progress reports and results summaries.
  Level 1 / Key Stage 3 |
| Ages 11-14, equivalent to UK Key Stage 3 |
| NUMBER |
| The
Number System I |
1.
Place Value - Writing The Numeral
2. Writing
The Place Value
3. Expanded Notation
Using 10, 100, etc.
4. Expanded Notation
Using Powers
5. Expanded Notation
As A Numeral
6. Order Of Operations
I
7. Order Of Operations
II
8. Number Properties
9. Rounding Off
10. Topic Test
|
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111 |
| The
Number System II |
1. Primes & Composites
2. HCF By
Inspection
3. Multiples
4. LCM By
Inspection
5. Prime Factor
Decomposition
6. HCF Using
Factor Trees
7. LCM Using
Factor Trees
8. The Square
Root
9. The Cube
Root
10. Averages
I
11. Averages
II
12. Topic
Test
|
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123 |
| Fractions |
1. Equivalent Fractions
2. Simplifying
Fractions
3. Mixed Numerals
To Improper Fractions
4. Improper
Fractions To Mixed Numerals
5. Addition
With Equal Denominators
6. Subtraction
With Equal Denominators
7. Addition
With Different Denominators
8. Subtraction
With Different Denominators
9. Addition
With Mixed Numerals
10. Subtraction
With Mixed Numerals
11. Fractions
Of Whole Numbers
12. Multiplication
13. Division
14. Multiplication & Division With Mixed Numerals
15. Quantities
As Fractions Of Others
16. Topic
Test
|
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139 |
| Decimals |
1. Introduction
To Decimals
2. Comparing
Size
3. Addition
4. Subtraction
5. Multiplication
6. Multiplication & Division By 10, 100, etc.
7. Division
By A Whole Number
8. Division
By A Decimal
9. Converting
Fractions To Decimals I
10. Converting
Fractions To Decimals II
11. Rounding
Off Decimals
12. Topic
Test
|
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151 |
| Percentages |
1. Percentages As
Fractions
2. Percentages
As Decimals
3. Fractions & Decimals As Percentages
4. Percentages
Of Quantities
5. Topic Test
|
3152
3153
3154
3155
3156 |
| Integers |
1. Understanding
Positive And Negative Integers
2. Ordering Integers
3. Using The Number Line
4. Addition & Subtraction
5. Multiplication
6. Division
7. Order of Operations
8. Topic Test
|
3157
3158
3159
3160
3161
3162
3163
3164 |
| Problem Solving |
1. Simpler Number
Problems
2. The Unitary
Method
3. Guess & Check
4. Using A
Diagram
5. Making
A List
6. Looking
For Patterns
7. Solving
A Simpler Problem First
8. Working
Backwards
9. Acting
It Out
10. Eliminating
Possibilities
11. Topic
Test
|
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175 |
| The Calculator & Percentages |
1. Using The Calculator
I
2. Using The
Calculator II
3. Using The
Calculator III
4. Percentages
As Fractions
5. Percentages
As Decimals
6. Fractions & Decimals As Percentages
7. Quantities
As Percentages Of Others
8. Percentages
Of Quantities
9. Increasing
By A Percentage
10. Decreasing
By A Percentage
11. The Unitary
Method
12. Topic
Test
|
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187 |
| Ratio |
1. Simplifying I
2. Simplifying
II
3. Short Stories
4. Equivalent
Ratios
5. Problem
Questions
6. Dividing
Quantities In A Given Ratio
7. Using Scale
8. Topic Test
|
3188
3189
3190
3191
3192
3193
3194
3195
|
| Rates |
1. Simplifying
2. Problems
I
3. Problems
II
4. Topic Test
|
3196
3197
3198
3199 |
| Number Applications |
1. Simple Interest
2. Discounts
3. Profit & Loss
4. Commission
5. Topic Test |
3200
3201
3202
3203
3204 |
|
| ALGEBRA |
| The
Number System I |
1. Substitution
I
2. Substitution II
3. Completing
Number Patterns I
4. Completing Number Patterns II
5. Identifying Number Patterns I
6. Identifying Number Patterns I
7. Identifying
Number Patterns III
8. The nth
Term Of A Sequence
9. Like Terms
10. Addition & Subtraction I
11. Addition & Subtraction II
12. Multiplication
13. Division
14. Topic
Test
|
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225 |
| The
Number Plane |
1. Identifying Plotted
Points
2. Plotting
Points
3. Straight
Line Graphs Using Tables
4. The Midpoint
5. The Gradient
6. Equation
Of A Straight Line
7. Topic Test
|
3205
3206
3207
3208
3209
3210
3211 |
| Algebra II |
1. Multiplication With Indices
2. Division With Indices
3. Raising Powers
4. Grouping Symbols I
5. Grouping Symbols II
6. Grouping Symbols III
7. Grouping Symbols IV
8. Grouping Symbols V
9. Generalised Arithmetic
10. Binomial Expansions
11. Perfect Squares
12. Difference Of Two Squares
13. Factorisation By A Common Factor
14. Topic
Test
|
3226
3227
3228
3229
3230
3231
3232
3233
3235
3234
3236
3237
3238
3239 |
| Equations |
1. Understanding
Equations
2. One-Step Involving Addition & Subtraction
3. One-Step Involving Division
4. One-Step Involving Multiplication
5. Two-Step Equations
6. Pronumerals On Both Sides
7. Equations With Brackets I
8. Equations With Brackets II
9. Equations With Brackets III
10. Equations Involving Fractions I
11. Equations
Involving Fractions II
12. Equations
Involving Substitution
13. Inequations
14. Simultaneous
Equations
15. Changing
The Subject
16. Solving
Problems Using Equations
17. Topic
Test |
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256 |
|
| SHAPE, SPACE & MEASURE |
| Measurement |
1. Length Conversions
I
2. Length
Conversions II
3. Metric & Imperial Conversions
4. Perimeter
I
5. Perimeter
II
6. Time Conversions
7. Time Difference
8. our Time
9. Mass
10. Bearings
And Angles I
11. Bearings
And Angles II
12. Topic
Test
|
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268 |
| Area |
1. Rectangles & Squares
2. Triangles I
3. Triangles II
4. Composite Shapes
5. Further Composite Shapes
6. Parallelograms
7. Trapeziums
8. Rhombus & Kites
9. Topic Test
|
3269
3270
3271
3272
3273
3274
3275
3276
3277 |
| Volume |
1. Prisms
2. Composite
Prisms
3. Topic Test
|
3278
3279
3280 |
| The Circle |
1. The Parts Of
A Circle
2. Circumference
Of A Circle
3. Perimeter
Of A Sector
4. Area Of
A Circle
5. Area Of
A Sector
6. Volume
Of A Cylinder
7. Topic Test
|
3281
3282
3283
3284
3285
3286
3287 |
| Transformations & Solids |
1. The Axis Of Symmetry
2. Transformations: Reflections
3. Transformations: Translations
4. Transformations: Rotations
5. Rotational Symmetry
6. Solid Shapes
7. Nets Of Solid Shapes
8. Topic Test
|
3288
3289
3290
3291
3292
3293
3294
3295 |
| Geometry |
1. Angle Types
2. Angles
On A Straight Line
3. Vertically-Opposite
Angles & Angles At A Point
4. Parallel
Lines
5. Angle Sum
Of A Triangle
6. Angle Sum
Of A Polygon
7. Mixed Examples
On Angles
8. Exterior
Angle Of A Triangle
9. Special
Triangles
10. Tests
For Congruent Triangles
11. Topic
Test
|
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306 |
| Constructions |
1. Bisecting A Line
2. Bisecting
An Angle
3. Regular
Polygons
4. Constructing
Angles I
5. Constructing
Angles II
6. Perpendicular
Lines
7. Polygons
8. Topic Test
|
3307
3308
3309
3310
3311
3312
3313
3314 |
| Pythagoras' Theorem |
1. Finding The Hypotenuse
I
2. Finding
The Hypotenuse II
3. Finding
A Shorter Side
4. Composite
Shapes I
5. Composite
Shapes II
6. Problem
Questions
7. Pythagorean Triads
8. Topic Test |
3315
3316
3317
3318
3319
3320
3321
3322 |
|
| DATA HANDLING |
| Statistics |
1. The Range & The Mode
2. The Median
3. The Mean
4. Frequency
Distribution Tables
5. Finding
The Mean From A Table
6. Finding
The Median From A Table
7. Frequency
Histograms & Polygons
8. Probability
Basics
9. Topic Test
|
3323
3324
3325
3326
3327
3328
3329
3330
3331 |
| Representing Data |
1. Bar Graphs
2. Column Graphs
3. Line Graphs
4. Pie Graphs
5. Step Graphs
6. Travel
Graphs
7. Topic Test |
3332
3333
3334
3335
3336
3337
3338 |
|
|
| Level 2 / Key Stage 4 |
| Ages 14-16, equivalent to UK Key Stage 4 |
| NUMBER |
| Standard Form |
1. Changing Numerals
To Standard Form
2. Changing From Standard Form To Numerals
3. Significant
Figures
4. Using A
Calculator
5. Topic Test |
4100
4101
4102
4103
4104 |
| Applications of Number |
1. Discounts
2. Profit & Loss
3. Best Buys
4. Commission & Piecework
5. Simple
Interest
6. Compound
Interest
7. Depreciation
8. Loans
9. Buying
On Terms
10. Topic
Test
|
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114 |
| Rates & Variation |
1. Calculating Distance
2. Calculating Time
3. Calculating Speed
4. Converting Rates
5. Problem Solving Using Rates
6. Direct Variation
7. Inverse Variation
8. Topic Test
|
4115
4116
4117
4118
4119
4120
4121
4122 |
| Surds |
1. Simplification
I
2. Simplification
II
3. Multiplication
4. Division
5. Addition & Subtraction
6. Mixed Examples
7. Binomial
Products
8. Special
Products I
9. Special
Products II
10. Rationalising
The Denominator I
11. Rationalising
The Denominator II
12. Topic
Test |
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134 |
|
| ALGEBRA |
| Indices |
1. Multiplication
With Indices
2. Division
With Indices
3. Raising
Powers
4. Zero Index
5. Mixed Examples
6. Negative
Indices
7. Fractional
Indices
8. Topic Test
|
4135
4136
4137
4138
4139
4140
4141
4142 |
| Algebraic Expansions |
1. Binomial Expansions
I
2. Binomial
Expansions II
3. Perfect
Squares
4. Difference
Of Two Squares
5. Mixed Examples
6. Topic Test
|
4143
4144
4145
4146
4147
4148 |
| Factorisation |
1. Common Factor
2. Monic Quadratics
I
3. Monic Quadratics
II
4. Monic Quadratics
III
5. Non-Monic
Quadratics I
6. Non-Monic
Quadratics II
7. Difference
Of Two Squares I
8. Difference
Of Two Squares II
9. Grouping
In Pairs I
10. Grouping
In Pairs II
11. Grouping
In Pairs III
12. Mixed
Examples
13. Topic
Test
|
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161 |
| Algebraic Freactions |
1. Simplifying I
2. Simplifying
II
3. Multiplication
I
4. Multiplication
II
5. Division
I
6. Division
II
7. Addition & Subtraction I
8. Addition & Subtraction II
9. Addition & Subtraction III
10. Topic
Test
|
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171 |
| Equations & Inequations |
1. Solving Linear
Equations
2. Solving
Problems Using Equations
3. Equations
Involving Fractions I
4. Equations
Involving Fractions II
5. Equations
Involving Fractions III
6. Inequations
7. Inequations
Involving Fractions
8. Equations
With Squares & Cubes
9. Trial & Improvement
10. Topic
Test
|
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181 |
| Formulae |
1. Generalised Arithmetic
I
2. Generalised Arithmetic II
3. Recurring Decimals To Fractions
4. The nth Term Of A Sequence I
5. The nth Term Of A Sequence II
6. Changing The Subject I
7. Changing The Subject II
8. Topic Test
|
4182
4183
4184
4185
4186
4187
4188
4189 |
| Linear Functions I |
1. Graphing Straight
Lines Using X & Y Intercepts
2. The Gradient
Of A Straight Line
3. The Equation
Of A Straight Line
4. Finding
The Equation Given A Diagram
5. Horizontal & Vertical Lines
6. Topic Test
|
4190
4191
4192
4193
4194
4195 |
| Linear Functions II |
1. Distance Between
Points
2. The Distance
Formula
3. The Midpoint
4. The Gradient
Formula
5. General
Form Of A Straight Line
6. The Point-Gradient
Formula
7. Equation
Of A Line Given Two Points
8. Testing
Points On A Line
9. Tests For
Parallel & Perpendicular Lines
10. Equation
Of A Parallel Line
11. Equation
Of A Perpendicular Line
12. Proving
Results
13. Topic
Test
|
4196
4197
4198
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209 |
| Quadratic Equations |
1. Factored Equations
2. Unfactored
Equations I
3. Unfactored
Equations II
4. Quadratic
Formula I
5. Quadratic
Formula II
6. Quadratic
Formula III
7. Completing
The Square
8. Problem
Solving
9. Problem
Solving Using Graphs
10. Topic
Test
|
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219 |
| Simultaneous Equations |
1. Elimination Method
I
2. Elimination
Method II
3. Elimination
Method III
4. Substitution
Method I
5. Substitution
Method II
6. Substitution
Method III
7. Problem
Solving
8. Topic Test
|
4220
4221
4222
4223
4224
4225
4226
4227 |
| Loci |
1. Sketching Parabolas
I
2. Vertex & Axis Of Symmetry
3. Sketching
Parabolas II
4. Hyperbola,
Cubic & Exponential Graphs
5. Circles
With Centre At Origin
6. Circles
With Centre At (a,b)
7. Circles
With Centre On An Axis
8. Transformation
Of Graphs
9. Solving
Equations Graphically
10. Topic
Test
|
4228
4501
4229
4230
4231
4232
4233
4234
4235
4236 |
| Linear Inequalities |
1. Identifying Linear
Inequalities
2. Graphing
Linear Inequalities
3. Intersecting
Linear Inequalities I
4. Intersecting
Linear Inequalities II
5. Topic Test |
4237
4238
4239
4240
4241
|
|
| SHAPE, SPACE & MEASURE |
| Geometry I |
1. Parallel Lines
2. Isosceles
Triangles
3. Exterior
Angle Of Triangles
4. Exterior
Angles Of Polygons
5. Reasoning
In Geometry I
6. Reasoning
In Geometry II
7. Compass
Bearings
8. Three-Figure
Bearings
9. Bearings
And Angles I
10. Bearings
And Angles II
11. Geometry
Proofs
12. Topic
Test
|
4500
4244
4245
4246
4242
4243
4247
4248
4249
4250
4251
4252 |
| Trigonometry |
1. The Trigonometric
Ratios
2. Finding
A Side I
3. Finding
A Side II
4. Finding
A Side III
5. Finding
An Angle
6. Degrees & Minutes I
7. Degrees & Minutes II
8. Angles
Of Elevation & Depression
9. Compass
Questions I
10. Compass
Questions II
11. Graphs
Of Trigonometric Functions
12. Topic
Test
|
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264 |
| Geometry II |
1. Tests For Congruent
Triangles
2. Proofs Using SSS
3. Proofs Using AAS
4. Proofs Using SAS
5. Proofs Using RHS
6. Deductions Using Congruent Triangles I
7. Deductions Using Congruent Triangles II
8. Deductions Using Congruent Triangles III
9. Similar
Figures I
10. Similar
Figures II
11. Similar
Triangles I
12. Similar
Triangles II
13. Topic
Test
|
4265
4266
4267
4268
4269
4271
4272
4273
4274
4275
4276
4277
4278 |
| Enlargements & Shapes |
1. Square & Cubic Measures
2. Error In
Measurement
3. Finding
The Area Given Dimensions
4. Finding
The Dimension Given Areas
5. Problem
Solving
6. Finding
The Volume Given Dimensions
7. Finding
The Dimensions Given Volumes
8. Topic Test
|
4279
4280
4281
4282
4283
4284
4285
4286 |
| Further Trigonometry |
1. The Sine Rule
When Finding A Side
2. The Sine Rule When Finding An Angle
3. The Cosine Rule When Finding A Side
4. The Cosine Rule When Finding An Angle I
5. The Cosine Rule When Finding An Angle II
6. Area Of A Triangle I
7. Area Of A Triangle II
8. Three-Dimensional Problems I
9. Three-Dimensional Problems II
10. Compass Questions
11. Trigonometric Equations I
12. Trigonometric
Equations II
13. Topic
Test
|
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299 |
| Volume & Surface Area |
1. Volume Of A Pyramid
2. Volume Of A Cone I
3. Volume Of A Cone II
4. Volume Of A Sphere
5. Capacity
6. Surface
Area Of Cubes & Cuboids
7. Surface
Area Of Triangular Prisms
8. Surface
Area Of Cylinders
9. Surface
Area Of Pyramids
10. Surface
Area Of Spheres
11. Surface
Area Of Cones
12. Topic
Test
|
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311 |
| Circle Properties |
1. Definitions & Terms
2. Chord Properties
3. Angles
At The Centre
4. Angles
On The Same Arc
5. Angle In
A Semi-Circle
6. Cyclic
Quadrilaterals
7. Tangents
Properties
8. Angle In
The Alternate Segment
9. Topic Test
|
4312
4313
4314
4315
4316
4317
4318
4319
4321 |
| Vectors |
1. Introduction
2. Vector Arithmetic
3. Geometric Applications
4. Topic Test |
4322
4323
4324
4325 |
|
| DATA HANDLING |
| Statistics |
1. Sampling Techniques
2. Stem & Leaf Plots I
3. Stem & Leaf Plots II
4. Scatter
Graphs & Correlation
5. Moving
Averages
6. Line of
Best Fit
7. Two-Way
Tables
8. Box & Whisker Plots
9. Cumulative
Frequency Graphs
10. Median & Interquartile Range
11. Topic
Test
|
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336 |
| Probability |
1. Probability Basics
2. Experimental Probability
3. Making A List
4. Tree Diagrams
5. Product & Addition Rules
6. Probability Trees
7. Topic Test |
4337
4338
4339
4340
4341
4342
4343 |
|
|
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