# Inverse relationship between x and y starters

### Describe the relationship between x and y. - ppt download A list of Maths lesson starter activities and interactive exercises for students on the Pupils should be taught to reduce a given linear equation in two variables to the rate of change; recognise and interpret graphs that illustrate direct and inverse . A graph is a diagram which represents a relationship between two or more. X = 4? Now look at a graph of how Y varies as we change X. As X increases in magnitude, Y increases in a linear fashion. This is called a direct relationship. Inverse Variation Inverse Proportion Inversely Proportional. A relationship between two variables in which the product is a constant. When one variable.

I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much Best wishes from Inger Kisby" Notes: This topic includes algebraic and statistical graphs including bar charts, line graphs, scatter graphs and pie charts.

A graph is a diagram which represents a relationship between two or more sets of numbers or categories. The data items are shown as points positioned relative to axes indicating their values.

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Pupils are typically first introduced to simple bar charts and learn to interpret their meaning and to draw their own. More sophisticated statistical graphs are introduced as the pupil's mathematical understanding develops. Pupils also learn about coordinates as a pre-requisite for understanding algebraic graphs. They then progress to straight line graphs before learning to work with curves, gradients, intercepts, regions and, for older pupils, calculus.

A Show Of Hands: Produce a number of graphs and charts from a quick show of hands. Place the cartoon characters on the scatter graph according to their height and age. Arrange the given statements in groups to show the type of correlation they have.

Flexible graph paper which can be printed or projected onto a white board as an effective visual aid. An online tool to draw, display and investigate graphs of many different kinds. An animated introduction to distance-time graphs. Arial photographs of vehicles moving along a road placed side to side form a graph. Students should be encouraged to stand up and make the shapes of the graphs with their arms. Pupils move to positions in the room according to their data relative to the walls as axes.

An animated distance time graph to be viewed while a student interprets the graph and comments on the race that produced the graph. A quick and convenient tool for rapidly creating simple pie charts.

Recognise and use the equation of a circle with centre at the origin and the equation of a tangent to a circle. Practise this technique for use in solving quadratic equations and analysing graphs.

Practise the technique of differentiating polynomials with this self marking exercise. Equation of a Line Through Points: Match the equations of the straight line graphs to the clues about gradients and points. Equation of a Straight Line: If the container is gradually filled with a steady flow of water which height-time graph would be produced?

An interactive function machine for patterns, numbers and equations. Gradient of a Line: Practise the skill of finding the gradients of straight lines by counting squares and dividing rise by run.

Match the equation with its graph. Includes quadratics, cubics, reciprocals, exponential and the sine function. Match the equations with the images of the corresponding graphs. Find the equations which will produce the given patterns of graphs.

Collect together in groups the equations of the graphs that are parallel to each other. Develop the skills to construct and interpret pie charts in this self-marking set of exercises.

## Describe the relationship between x and y.

Complete a table of values then plot the corresponding points to create a graph. Plot scatter graphs from data representing a number of different everyday situations. Reading Graphs and Charts: Answer real-life problems from different types of graphs and charts including piece-wise linear graphs.

Test your understanding of distance-time and speed-time graphs with this self-marking exercise. Use the graphs provided to solve both simultaneous and quadratic equations.

A game to determine the mathematical item by asking questions that can only be answered yes or no.

### Inverse Proportion Graphs by Mr Mattock on Prezi

Manipulate the Lissajou curve to produce a perfectly symmetrical vertically and horizontally infinity symbol. Chapel Hill-Chauncy Hall teacher Kelly Overbye demonstrates how she uses Multiple Intelligences, to teach her students about the slope of graphs. Maths teachers from England construct a scatter graph from their heights and shoe sizes.

Pupils should be taught to understand and use the concepts and vocabulary of ex pressions, equations, inequalities, terms and factors more Pupils should be taught to simplify and manipulate algebraic ex pressions to maintain equivalence by: Pupils should be taught to understand and use standard mathematical formulae; rearrange formulae to change the subject more Pupils should be taught to model situations or procedures by translating them into algebraic ex pressions or formulae and by using graphs more Pupils should be taught to recognise and use relationships between operations including inverse operations more Pupils should be taught to use algebraic methods to solve linear equations in one variable including all forms that require rearrangement more Pupils should be taught to interpret mathematical relationships both algebraically and graphically more Pupils should be taught to interpret mathematical relationships both algebraically and geometrically. Pupils should be taught to translate simple situations or procedures into algebraic ex pressions or formulae; derive an equation or 2 simultaneous equationssolve the equation s and interpret the solution more The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please. This linked really well and prompted a discussion about learning styles and short term memory. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles.

## SLOPE function

I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions. I nearly wet my pants with joy. Fantastic way to engage the pupils at the start of a lesson. Lots of good ideas for starters.

Use it most of the time in KS3. My class and I really enjoy doing the activites. We all often use the starters as the pupils come in the door and get settled as we take the register. I told them in advance I would do 10 then record their percentages. Thank you for being so creative and imaginative. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun! Only recently been discovered but is used daily with all my classes.

It is particularly useful when things can be saved for further use. So useful and handy, the children love them. Could we have some on angles too please? The range of questioning provided is excellent as are some of the images.

I rate this site as a 5! To engage them I used their name and favorite football team or pop group instead of the school name. For homework, I asked each student to find a definition for the key words they had been given once they had fun trying to guess the answer and they presented their findings to the rest of the class the following day.

They felt really special because the key words came from their own personal information.