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…
Solving Problems Using Newton's Second Law O3
In this resource, from the Department for Education Standards Unit, students will learn to understand how Newton’s second law can be applied to a range of different problems. It will encourage learners to link the stages of solutions together and appreciate the purpose and relevance of each stage of a solution. Students should…
Exploring Equations of Motion 02
In this resource, from the Department for Education Standards Unit, students learn to use past paper examination questions creatively. The questions give them practice in using the equations of motion for constant acceleration and allow them to develop their ability to generalise from specific situations of motion. Students should…
Moving from Eulerian Graphs to the Route Inspection (Chinese Postman) Problem O1
In this resource, from the Department fof Education Standards Unit, students learn to distinguish, by drawing and by using the order of the vertices, between Eulerian graphs, semi-Eulerian graphs and graphs that are neither; and to find strategies for solving the route inspection or ‘Chinese postman’ problem. Students…
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
Finding Stationary Points of Cubic Functions C5
In this resource from the DfE Standards Unit, students find the stationary points of a cubic function, determine the nature of these stationary points and to discuss and understand these processes.Students should have some knowledge of differentiation of polynomials, finding stationary points of a quadratic function and using f ″(x)…
Differentiating and Integrating Fractional and Negative Powers C4
In this resource from the DfE Standards Unit, students convert functions into an appropriate form for differentiating or integrating and then differentiate and integrate negative and fractional powers of x. Before starting the activity students should be able to differentiate and integrate polynomial functions and have some knowledge…
Matching Functions and Derivatives C3
In this resource from the DfE Standards Unit, students practise differentiating quadratic functions and finding the values of a function and its derivative at specific points. They will distinguish between f (x) and f ′(x), relate values of f (x) and f ′(x) to the graph of y = f (x) and reflect on and discuss these processes.…
- 5/5
- Publication year: 2000 - 2009
- Group work
Exploring Functions Involving Fractional and Negative Powers of x C2
In this DfE Standards Unit resource, students find the stationary points of a function and determine their nature and solve appropriate equations in order to find the intercepts of a function. Students are encouraged to connect the mathematical properties of a function and relate them to the graph. Before starting the activity students…
- 3/5
- Publication year: 2000 - 2009
- Group work
Linking the Properties and Forms of Quadratic Equations C1
In this DfE Standards Unit resource, students identify different forms and properties of quadratic functions, connect quadratic functions with their graphs and properties, including intersections with axes, maxima and minima. Students will need to be familiar with the following forms of quadratic functions and their interpretation: y…
- 5/5
- Publication year: 2000 - 2009
- Group work
Using Binomial Probabilities S8
In this resource from the DfE Standards Unit, students calculate binomial probabilities and cumulative binomial probabilities. They develop their understanding of the context in which it is appropriate to use binomial probabilities, the symmetrical nature of the formula for a binomial probability and alternative strategies for calculating…
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 Equations in Parametric Form A14
In this resource from the DfE Standards Unit, students find and determine the nature of stationary points when a function is given in parametric form and find the intercepts of the function. Students should already be able to find stationary points and their nature when equations are given in Cartesian form, understand the parametric…
Simplifying Logarithmic Expressions A13
This DfE Standards Unit resource enables students to develop their understanding of the laws of logarithms, practise using the laws of logarithms to simplify numerical expressions involving logarithms and apply their knowledge of the laws of logarithms to expressions involving variables. Students should have some knowledge of the…
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