Download presentation
Presentation is loading. Please wait.
1
For use with the Edexcel 2010 Mathematics B Foundation Specification
Unit 1 Unit 2 Unit 3 Random © DBr 2011
2
Unit 1 Statistics Number Probability Algebra Random
Geometry and Measures Probability Algebra Random © DBr 2011
3
Unit 1: Statistics SP a Understand and use statistical problem solving processes/Handling data cycle SP b Identify possible sources of bias SP d Design data collection sheets distinguishing between different types of data SP c Design and experiment or survey SP e Extract data from printed tables and lists SP f Design and use two way tables for discrete and grouped data SP g Produce charts and diagrams for various data types SP h Calculate mean, median, mode, range and modal class SP i Interpret a wide range of graphs and diagrams to draw conclusions SP j Look at data to find patterns and exceptions SP k Recognise correlation and draw and use lines of best fit SP l Compare distributions and make inferences SP u Use calculators efficiently and effectively – including statistical functions © DBr 2011
4
Unit 1: Number N a Add, Subtract, Multiply and Divide any number
N h Understand equivalent fractions and simplifying a fraction N j Use decimal notation and recognise that each terminating decimal is a fraction N l Understand that percentage means per 100 and use this in proportion calculations N m Use percentage N o Interpret fractions, decimals and percentages as operators N p Use ratio notation, including simplifying and its various links to fraction notation N q Understand and use a number of operations and the relationships between them N t Divide a quantity by a given ration N u Approximate to a specified or appropriate degree of accuracy N v Use calculators effectively and efficiently © DBr 2011
5
Unit 1: Geometry and Measures
GM a Recall and use properties of angles at a point GM o Interpret scales on a range of measuring instruments and recognise the inaccuracy of measurements GM p Convert measurements from one unit to another GM q Make sensible estimates of a range of measurements GM t Measure and draw lines and angles © DBr 2011
6
Unit 1: Probability SP m Understand and use the vocabulary of probability and the probability scale SP n Understand and use estimates or measures of probability from theoretical models or from relative frequency SP o List all outcomes for single events, and for two successive events in a systematic way and derive relative probabilities SP p Identify different mutually exclusive outcomes and know that the sum of these probabilities is 1 SP s Compare experimental data and theoretical probabilities SP t Understand that if they repeat and experiment they may – and usually will – get different outcomes, and that increasing sample size generally leads to better estimates of probability. © DBr 2011 © DBr 2011
7
Unit 1: Algebra A a Distinguish the different roles played by letter symbols in algebra, using the correct notation A b Distinguish in meaning between the words ‘equation’, ‘formula’ and ‘expression’ A l Recognise and plot equations that correspond to straight line graphs in the coordinate plane, including finding gradients A s Discuss, plot and interpret graphs (which may be non-linear) modelling real situations © DBr 2011
8
Unit 2 Algebra Number Geometry Measures Random © DBr 2011
9
Unit 2: Algebra A a Distinguish the different roles played by letter symbols in algebra using correct notation A b Distinguish in meaning between the words ‘equations’, ‘formula’ and ‘expression’ A c Manipulate algebraic expressions by collecting like terms, multiplying a single term over a bracket and by taking out common factors A f Derive a formula, substitute numbers in to formula A i Generate terms of a sequence using term-to-term and position-to-term definitions A j Use linear expressions to describe the nth term of an arithmetic sequence A k Use the conventions for coordinates in the plane and in all 4 quadrants A l Recognise and plot equations that correspond to straight line graphs including finding gradients A r Construct linear functions from real life problems and plot their corresponding graphs A s Discuss, plot and interpret graphs (that may be non-linear) modelling real life situations © DBr 2011
10
Unit 2: Number N a Add, subtract, multiply and divide any number
N b order rational numbers N c Use the concepts of factor, multiple, HCF, LCM, prime and prime factor N d Use the terms square, square root (+ and - ), cube and cube root N e Use index notation for squares, cubes and powers of 10 N f Use index laws for multiplication and division of integer powers N h Understand equivalent fractions and simplifying a fraction N i Add and subtract fractions N j Use decimal notation and recognise that each terminating decimal is a fraction N k Recognise that recurring decimals are exact fractions, and visa versa NEXT PAGE © DBr 2011
11
Unit 2: Number N l Understand that percentage means per 100 and use to compare proportions N o Interpret fractions, decimals and percentages as operators N p Use ratio notation, including simplifying and its various links to fraction notation N q Understand and use a number of operations and the relationships between them N t Divide a quantity in a given ration N u Approximate to a specified or appropriate degree of accuracy PREVIOUS PAGE © DBr 2011
12
Unit 2: Geometry GM a Recall and use properties of angles at a point, angles on a straight line, perpendicular lines and opposite angles at a vertex GM b Understand and use the angle properties of parallel and intersecting lines, triangles and quadrilaterals GM d Recall the properties and definitions of special types of quadrilateral, parallelogram, trapezium, kite and rhombus GM e Recognise reflection and rotation symmetry of 2D shapes GM f Understand congruence and similarity GM i Distinguish between centre, radius, chord, diameter, circumference, tangent, arc, sector and segment GM k Use 2D representations of 3D shapes GM x Calculate perimeters and areas of shapes made from triangles and rectangles GM aa Calculate volumes of right prisms and shapes made from cubes and cuboids © DBr 2011
13
Unit 2: Measures GM o Interpret scales on a range of measuring instruments and recognise the inaccuracy of measurements GM p Convert measurements from one unit to another GM q Make sensible estimates of a range of measures GM s Understand and use compound measures GM t Measure and draw lines and angles © DBr 2011
14
Unit 3 Algebra Number Geometry Measures Random © DBr 2011
15
Unit 3: Algebra A c Manipulate algebraic expressions by collecting like terms, by multiplying over a single bracket and by taking out common factors A d Set up and solve simple equations A f Derive a formula, substitute numbers in to a formula and change the subject of a formula A g Solve linear equations in one variable, and represent the solution on a number line A h Use systematic trial and improvement to find approximate solutions of equations where there is no simple analytical method of solving them A k Use the conventions for coordinates in the plane and plot points in all four quadrants A s Discuss, plot and interpret graphs (which may be non-linear) modelling real situations A t Generate points and plot graphs of simple quadratic functions, and use these to find approximate solutions © DBr 2011
16
Unit 3: Number N a Add, Subtract, Multiply and Divide any number
N m Use percentage N o Interpret fractions, decimals and percentages as operators N l Understand that percentage means per 100 and use this in proportion calculations N q Understand and use a number of operations and the relationships between them N v Use calculators effectively and efficiently © DBr 2011
17
Unit 3: Geometry GM c Calculate and use the sums of interior and exterior angles in polygons GM f Understand congruence and similarity GM g Use Pythagoras’ theorem in 2D GM k Use 2D representations of 3D shapes GM l Describe and transform 2D shapes using single or combined rotations, reflections, translations, or enlargements by a positive scale factor and distinguish properties that are preserved under particular transformations GM v Use straight edge and a pair of compasses to do constructions GM w Construct Loci GM z Find circumferences and areas of circles GM aa Calculate volumes of right prisms and shapes made from cubes and cuboids © DBr 2011
18
Unit 3: Measures GM m Use and interpret maps and scale drawings
GM n Understand the effect of enlargement for perimeter, area and volume of shapes GM p Convert measurements from one unit to another GM r Understand and use bearings GM u Draw triangles and other 2D shapes using a ruler and protractor © DBr 2011
19
SP a Understand and use statistical problem solving processes/Handling data Cycle
Maria is playing a game with two fair dice. Dice A has six faces numbered 5 to 10. Dice B has four faces numbered 1 to 4. She throws the two dice. She subtracts the number on dice B from the number on dice A to get her score. (a)Complete the table below to show all her possible scores. Three have been done for you. [2] (b) What is the probability that her score is (i) 9, [1] (ii) a factor of 14? [2] © DBr 2011
20
SP b Identify possible sources of bias
© DBr 2011
21
SP c Design an experiment or survey
© DBr 2011
22
SP d Design data collection sheets distinguishing between different types of data
Some pupils wanted to find out how pupils in certain year groups got to school. Design a questionnaire to find this out. [4] © DBr 2011
23
SP e Extract data from printed tables and lists
[2] © DBr 2011
24
SP f Design and use two way tables for discrete and grouped data
© DBr 2011
25
SP g Produce charts and diagrams for various data types
Bar Chart Pie Chart Stem and Leaf Pictogram © DBr 2011
26
SP g Produce charts and diagrams for various data types
Bar Chart Pie Chart Stem and Leaf Pictogram [3] © DBr 2011
27
SP g Produce charts and diagrams for various data types
Bar Chart Pie Chart Stem and Leaf Pictogram [2] © DBr 2011
28
SP g Produce charts and diagrams for various data types
Bar Chart Pie Chart Stem and Leaf Pictogram [2] © DBr 2011
29
SP h Calculate mean, median, mode, range and modal class
© DBr 2011
30
SP i Interpret a wide range of graphs and diagrams to draw conclusions
© DBr 2011
31
SP j Look at data to find patterns and exceptions
(b)Describe the correlation shown on the scatter diagram. [1] (c)(i)Draw a line of best fit on the diagram.[1] (ii)Lorenzo scored 48% on Paper 1, but was absent for Paper 2. Use your line of best fit to estimate his percentage on Paper 2. % [1] (d)Rosie scored 72% in a test. Francine scored 52 out of 75 marks in the same test. Who did better in the test? Give a reason for your answer. because …. [2] © DBr 2011
32
SP k Recognise correlation and draw and use lines of best fit
(b) What does the diagram show about the relationship between thumb and wrist measurements? (c) Show this relationship on the graph. [2] [1] © DBr 2011
33
SP l Compare distributions and make inferences
© DBr 2011
34
SP m Understand and use the vocabulary of probability and the probability scale
© DBr 2011
35
SP n Understand and use estimates or measures of probability from theoretical models or from relative frequency © DBr 2011
36
SP o List all outcomes for single events, and for two successive events in a systematic way and derive relative probabilities © DBr 2011
37
SP p Identify different mutually exclusive outcomes and know that the sum of these probabilities is 1 © DBr 2011
38
SP s Compare experimental data and theoretical probabilities
© DBr 2011
39
SP t Understand that if they repeat and experiment the may – and usually will – get different outcomes, and that increasing sample size generally leads to better estimates of probability John was conducting an experiment to see if a dice was fair. He knows that if it is fair, the probability of rolling a number is John rolled the dice 6 times. Below are his results. Number Frequency John concluded that his dice was not fair. Is John’s conclusion correct? Explain your answer 1 6 © DBr 2011
40
SP u Use calculators efficiently and effectively – including statistical functions
© DBr 2011
41
N a Add, subtract, multiply and divide any number
© DBr 2011
42
N b Order rational numbers
© DBr 2011
43
N c Use the concepts of factor, multiple, HCF, LCM, prime and prime factor
© DBr 2011
44
N d Use the term square, square root (+ and -), cube and cube root
© DBr 2011
45
N e Use index notation for squares, cubes and powers of 10
Fill in the missing gaps (a) = 49 (b) √121 = (c) 3√ 8 = (d) = 27 [1] [1] [1] [1] © DBr 2011
46
N f Use index laws for multiplication and division of integer powers
© DBr 2011
47
N h Understand equivalent fractions and simplifying a fraction
© DBr 2011
48
N i Add and Subtract fractions
© DBr 2011
49
N j Use decimal notation and recognise that each terminating decimal is a fractions
© DBr 2011
50
N k Recognise that recurring decimals are exact fractions and visa versa
. . Change 0.42 in to a fraction. You should write your answer in its simplest form [3] © DBr 2011
51
N l Understand that percentage means per 100 and use this in proportion calculations
© DBr 2011
52
N m Use percentage © DBr 2011
53
N o Interpret fractions, decimals and percentages as operations
© DBr 2011
54
N p Use ratio notation, including simplifying and its various links to fraction notation
A piece of wood 240cm long is to be split in to the ratio 3:5:8. What fraction of the whole piece of wood will be the smallest? [3] © DBr 2011
55
N q Understand and use a number of operations and the relationships between them
[2] [2] © DBr 2011
56
N t Divide a quantity by a given ratio
© DBr 2011
57
N u Approximate to a specified or appropriate degree of accuracy
© DBr 2011
58
N v Use calculators efficiently and effectively
© DBr 2011
59
GM a Recall and use properties of angles at a point
© DBr 2011
60
GM b Understand and use the angle properties of parallel and intersecting lines, triangles and quadrilaterals Q1 Q2 Q3 © DBr 2011
61
GM b Understand and use the angle properties of parallel and intersecting lines, triangles and quadrilaterals Q1 Q2 Q3 © DBr 2011
62
GM b Understand and use the angle properties of parallel and intersecting lines, triangles and quadrilaterals Q1 Q2 Q3 © DBr 2011
63
GM c Calculate and use the sums of interior and exterior angles in polygons
© DBr 2011
64
GM d Recall the properties and definitions of special types of quadrilateral, parallelogram, trapezium, kite and rhombus © DBr 2011
65
GM e Recognise reflection and rotation symmetry of 2D shapes
© DBr 2011
66
GM f Understand congruence and similarity
© DBr 2011
67
GM g Use Pythagoras’ theorem in 2D
© DBr 2011
68
GM i Distinguish between centre, radius, chord, diameter, circumference, tangent, arc, sector and segment You should show all of your answers on the diagram Draw and label a radius Draw and label a diameter Draw and label a chord Draw and label a sector x C © DBr 2011
69
GM k Use 2D representations of 3D shapes
Nets Plans © DBr 2011
70
GM k Use 2D representations of 3D shapes
Nets Plans © DBr 2011
71
GM l Describe and transform 2D shapes using single or combined rotations, reflections, translations, or enlargements by a positive scale factor and distinguish properties that are preserved under particular transformations Q1 Q2 Q3 Q4 © DBr 2011
72
GM l Describe and transform 2D shapes using single or combined rotations, reflections, translations, or enlargements by a positive scale factor and distinguish properties that are preserved under particular transformations Q1 Q2 Q3 Q4 © DBr 2011
73
GM l Describe and transform 2D shapes using single or combined rotations, reflections, translations, or enlargements by a positive scale factor and distinguish properties that are preserved under particular transformations Q1 Q2 Q3 Q4 © DBr 2011
74
GM l Describe and transform 2D shapes using single or combined rotations, reflections, translations, or enlargements by a positive scale factor and distinguish properties that are preserved under particular transformations Q1 Q2 Q3 Q4 © DBr 2011
75
GM m Use and interpret maps and scale drawings
Scale: 2cm to 1km © DBr 2011
76
GM n Understand the effect of enlargement for perimeter, area and volume of shapes
Enlarge the shape ABCD with centre O and scale factor 3. The perimeter of ABCD is 11×21 cm to 2 decimal places. Without measuring, write down the perimeter of the enlarged shape. cm [1] © DBr 2011
77
GM o Interpret scales on a range of measuring instruments and recognise the inaccuracy of measurements Then I weigh an apple and a melon © DBr 2011
78
GM p Convert measurements from one unit to another
© DBr 2011
79
GM q Make sensible estimates of a range of measurements
© DBr 2011
80
GM r Understand and use bearings
© DBr 2011
81
GM s Understand and use compound measures
© DBr 2011
82
GM t Measure and draw lines and angles
© DBr 2011
83
GM u Draw triangles and other 2D shapes using a ruler and protractor
© DBr 2011
84
GM v Use straight edge and a pair of compasses to do constructions
© DBr 2011
85
GM w Construct Loci Q1 Q2 © DBr 2011
86
GM w Construct Loci Q1 Q2 © DBr 2011
87
GM x Calculate perimeters and areas of shapes made from triangles and rectangles
© DBr 2011
88
GM z Find circumferences and areas of circles
© DBr 2011
89
GM aa Calculate volumes of right prisms and shapes made from cubes and cuboids
© DBr 2011
90
A a Distinguish the different roles played by letter symbols in algebra, using the correct notation
© DBr 2011
91
A b Distinguish in meaning between the words ‘equation’, ‘formula’ and ‘expression’
Put a tick in the correct box © DBr 2011
92
A c Manipulate algebraic expressions by collecting like terms, multiplying a single term over a bracket and by taking out common factors © DBr 2011
93
A d Set up and solve simple linear equations
© DBr 2011
94
A f Derive a formula, substitute numbers in to formula
© DBr 2011
95
A g Solve linear equations in one variable, and represent the solution on a number line
© DBr 2011
96
A h Use systematic trial and improvement to find approximate solutions of equations where there is no simple analytical method of solving them © DBr 2011
97
A i Generate terms of a sequence using term-to-term and position-to-term definitions
© DBr 2011
98
A j Use linear expressions to describe the nth term of an arithmetic sequence
© DBr 2011
99
A k Use the conventions for coordinates in the plane and in all 4 quadrants
Write down the coordinates of the point A. ( , ) [1] Plot the point (1, –6) and label it C. [1] ABCD is a rectangle. Plot point D. Write down the coordinates of D. ( , ) [2] © DBr 2011
100
A l Recognise and plot equations that correspond to straight line graphs in the coordinate plane, including finding gradients © DBr 2011
101
A r Construct linear functions from real life problems and plot their corresponding graphs
© DBr 2011
102
A s Discuss, plot and interpret graphs (which may be non-linear) modelling real situations
© DBr 2011
103
A t Generate points and plot graphs of simple quadratic functions, and use these to find approximate solutions (b)Use your graph to find approximate solutions to the equation x2 – 2 = 2 and [2] © DBr 2011
Similar presentations
