Revision for GCSE Through Groupwork
This resource from SMILE consists of sets of question cards, which are differentiated by level, and include answers which can be photocopied onto the back of the card. They are best used for group work to promote discussion and collaborative learning. Different models of using the cards are suggested in the resource. Topics covered: Multiplication…
Straight Line Graphs Mystery
This resource created by Shirley Fall has twenty mystery fact cards, each containing a statement about the features of straight line graphs and how they lie on a 3 by 3 grid. The rationale is for students to use the fact cards to discover the features of each graph - its gradient, its intercept, its graph and ultimately its equation…
Ratio and Proportion Mystery
This resource written by Shirley Fall has eleven cards, each with a statement about how some students have performed in two papers of a mathematics test. Students are tasked to decide who should get the mathematics prize by working out their rank order. It is suggested that students draw up a table to show each student's marks…
Properties of Shape Mystery
This resource written by Shirley Fall has fifteen cards each with a statement about 2-D shapes and how they lie on a 3 by 3 grid. The rationale is for students to discuss the possible options and work towards a solution of which 2-D shape lies in each of the grid cells. Extension questions are also posed. The file named 2-D Shape…
5/5- Publication year: 2000 - 2009
- Group work
Probability Mystery
This resource, written by Shirley Fall, has fourteen cards with statements about the likelihood of six different runners winning a race. Students are tasked with using the statements on the cards to determine who is most likely to win the race, with what probability, and in what sequence they would expect the runners to finish. The…
- 5/5
- Publication year: 2000 - 2009
- Group work
Locus Mystery
This resource written by Shirley Fall focuses on constructing loci. There are eighteen cards with statements about an area of land centred on a four-sided field reputed once to have belonged to a notorious highwayman. Students are asked to discuss in groups and use the cards to construct the diagram and hence solve the puzzle of…
- 4/5
- Publication year: 2000 - 2009
- Group work
Directed Numbers Mystery
This resource written by Shirley Fall has thirteen cards each with a statement about directed numbers and how they lie on a 3 by 3 grid. The rationale is for students to discuss possible options and work towards a solution of which directed number lies in each of the grid cells. The file named Directed Number Mystery Solution…
Algebra Mystery
This resource written by Shirley Fall has thirteen cards each with a statement about algebraic expressions and how they lie on a 3 by 3 grid. The rationale is for students to discuss possible options and work towards a solution of which algebraic expression lies in each of the grid cells. The file named algebraic expression cards…
Interpreting Distance – Time Graphs A6
In this DfE Standards Unit resource students learn to interpret and construct distance–time graphs; relating speeds to gradients of the graphs and accelerations to changes in these speeds. Students have often constructed distance–time graphs before. However, experience shows that many still interpret them as if they are…
- 5/5
- Publication year: 2000 - 2009
- Group work
Developing an Exam Question: Probability S7
In this resource from the DfE Standards Unit, students use past examination papers creatively, analyse the demands made by examination questions, understand and use estimates or measures of probability from theoretical models, list all outcomes for two successive events in a systematic way and identify mutually exclusive outcomes…
Interpreting Frequency Graphs, Cumulative Frequency Graphs, Box and Whisker Plots S6
In this resource from the DfE Standards Unit, students interpret frequency graphs, cumulative frequency graphs, and box and whisker plots, all for large samples, and then see how a large number of data points can result in the graph being approximated by a continuous distribution (GCSE Grades A - D)
Interpreting Bar Charts, Pie Charts, Box and Whisker Plots S5
In this resource from the DfE Standards Unit, students will learn to understand and interpret bar charts, pie charts, and box and whisker plots. This session is in two linked parts. The first is matching pie charts to bar charts and secondly matching box and whisker plots to bar charts. Each part of the session starts with a whole…
- 5/5
- Publication year: 2000 - 2009
- Group work
Understanding Mean, Median, Mode and Range S4
In this DfE Standards Unit resource, students learn to understand the terms: mean, median, mode, range and explore the relationships between these measures and their relationship to the shape of a distribution. Students will have met the terms mean, median, mode and range but they may not have a clear understanding of their meaning…
- 5/5
- Publication year: 2000 - 2009
- Group work
Using Probability Computer Games S3
In this resource from the DfE Standards Unit, students confront and overcome common misconceptions about probability, count equally likely outcomes using diagrams, discuss relationships between theoretical probabilities, observed outcomes and sample sizes and calculate probabilities of dependent and independent events. Students will…
- 5/5
- Publication year: 2000 - 2009
- Group work
Evaluating Probability Statements S2
In this resource from the DfE Standards Unit, students discuss and clarify some common misconceptions about probability. This involves discussing the concepts of equally likely events, randomness and sample sizes. They will also learn to reason and explain. This session assumes that learners have encountered probability before. It…
- 5/5
- Publication year: 2000 - 2009
- Group work
Ordering Probabilities S1
In this DfE Standards Unit resource, students learn to understand that probabilities are assigned values between 0 and 1. They will on an decide an appropriate value for the probability of a given event and use some of the vocabulary associated with probability such as ‘certain’, ‘impossible’, ‘likely’.…
- 5/5
- Publication year: 2000 - 2009
- Group work
Developing an Exam Question: Transformations SS8
In this resource from the DfE Standards Unit, students learn to use past examination papers creatively, recognise and visualise transformations of 2D shapes, transform triangles and other 2D shapes by translation, rotation and reflection and combinations of these. They develop their ability to generalise and explore their own questions…
- 5/5
- Publication year: 2000 - 2009
- Group work
Transforming Shapes SS7
In this DfE Standards Unit resource, students learn to recognise and visualise transformations of 2D shapes and translate, rotate, reflect and combine these transformations. Students unfamiliar with the terms ‘rotation’, ‘reflection’ and ‘translation’ will need some introduction to these. The session…
- 5/5
- Publication year: 2000 - 2009
- Group work
Representing 3D Shapes SS6
In this resource from the DfE Standards Unit, students interpret 2D representations of 3D shapes, analyse 3D shapes using plans, elevations, and isometric drawings and develop their reasoning ability in spatial contexts. Many students may have met these ideas before, but they may still experience difficulties in this area. In this…
Evaluating Statements about Enlargements SS5
In this DfE Standards Unit resource, students explore the relationship between linear and area enlargement, substitute into algebraic statements and discuss some common misconceptions about enlargement. Students will have covered some aspects of enlarging shapes before, but they may not have explored the relationships between linear,…
- 5/5
- Publication year: 2000 - 2009
- Group work
Evaluating Statements about Length and Area SS4
In this resource from the DfE Standards Unit, students learn to understand concepts of length and area in more depth, revise the names of plane shapes, develop reasoning through considering areas of plane compound shapes and construct their own examples and counter-examples to help justify or refute conjectures.Students should have…
Dissecting a Square SS3
In this resource from the DfE Standards Unit, students learn to express a part or whole diagram in fractions or percentages, convert a fraction to a percentage (using a calculator), calculate areas of rectangles, triangles, circles and parts of circles and add, subtract and multiply fractions. This session builds on students’…
Understanding Perimeter and Area SS2
In this DfE Standards Unit resource, students learn to understand the difference between perimeter and area. Students get practice in calculating the areas and the perimeters of rectangular shapes. Students may have had some previous experience of calculating perimeter and area. (GCSE Grades D - G)
Classifying Shapes SS1
In this resource from the DfE Standards Unit, students learn to name and classify polygons according to their properties, develop mathematical language to describe the similarities and differences between shapes and develop convincing explanations as to why combinations of particular properties are impossible. (GCSE Grades D-F)
Performing Number Magic A9
In this resource from the DfE Standards Unit, students analyse simple number 'tricks', and explain how they work, using algebra. They then try to create their own variants of the trick, making it more impressive. Students will: develop an understanding of linear expressions and equations; make simple conjectures and generalisations;…
Exploring Trigonometrical Graphs A12
In this resource from the DfE Standards Unit, students explore trigonometrical graphs by recognising translations, stretches and reflections from their equations, sketching the graphs and learning about the period and amplitude. Students should be familiar with the graphs of y = sin x and y = cos x and have previously met the basic…
Factorising Cubics A11
In this resource from the DfE Standards Unit, students learn to associate x-intercepts with finding values of x such that f (x) = 0, sketch graphs of cubic functions, find linear factors of cubic functions and develop efficient strategies when factorising cubic functions. Students should have some familiarity with quadratic graphs…
- 5/5
- Publication year: 2000 - 2009
- Group work
Connecting Perpendicular Lines A10
In this resource from the DfE Standards Unit, students will identify perpendicular gradients and lines that are perpendicular, learn to relate their learning about perpendicular lines to their previous learning about straight lines and explain the reasons why lines are parallel and perpendicular. Students should have some knowledge…
- 4/5
- Publication year: 2000 - 2009
- Group work
Developing an Exam Question: Generalising Patterns A8
In this resource from the DfE Standards Unit, students will learn to: use past examination papers creatively, explore, identify, and use pattern and symmetry in algebraic contexts, investigate whether a particular case can be generalised further, understand the importance of counter-examples, develop the ability to generalise from…
Interpreting Functions, Graphs and Tables A7
In this DfE Standards Unit resource, students learn to understand the relationship between graphical, algebraic and tabular representations of functions, the nature of proportional, linear, quadratic and inverse functions and doubling and squaring. Students should already be familiar with algebraic symbols such as those representing…
Interpreting Distance-Time Graphs with a Computer A5
In this DfE Standards Unit resource, students interpret linear and non-linear distance-time graphs using the computer programme Traffic. This program provides a simple yet powerful way of helping learners to visualise distance–time graphs from first principles. The program generates situations involving traffic moving up and…
- 5/5
- Publication year: 2000 - 2009
- Group work
Evaluating Algebraic Expressions A4
In this resource from the DfE Standards Unit, students learn to distinguish between and interpret equations, inequations and identities and substitute into algebraic statements in order to test their validity in special cases. Students often use letters in algebra without understanding what they mean. Common misconceptions include…
- 5/5
- Publication year: 2000 - 2009
- Group work