This resource pack introduces the concepts of shelter and shelter deprivation around the world to students in Key Stage Two. It highlights the challenges people face in their daily lives when their homes do not provide adequate shelter. It linked to the curriculum areas of design and technology, geography and PSHE and promotes thinking…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
This Nuffield Foundation resource opens with a team game that demonstrates the need for careful planning and collaboration. Students use their findings to construct a standard operating procedure that enables them to improve their performance through better collaboration. They are also introduced to their games learning log which…
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)…
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…
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.…
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…
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…
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…
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…
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)
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…
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…
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…
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…
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’.…
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…
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…
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…
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,…
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…
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