162 results in Transition to university - search across all projects.

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• #### Complete the square and find solutions

Solve a quadratic equation by completing the square. The roots are not pretty!

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• #### Straight line equation application: measuring sunflower height

An applied example of the use of two points on a graph to develop a straight line function, then use the t estimate and predict. MCQ's are also used to develop student understanding of the uses of gradient and intercepts as well as the limitations of prediction.

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Key Stage 4 / GCSE, A-Level, Transition to university, Stage 1

• #### Find the equation of a line through two points - zero gradient

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function, which allows the student to check their answer against the graph before submitting.

This particular example has a 0 gradient.

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Key Stage 4 / GCSE, A-Level, Transition to university, Stage 1

• #### Calculate the measures of central tendency for a sample

This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

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Key Stage 4 / GCSE, Transition to university

• #### Laws of Indices

This question aims to test understanding and ability to use the laws of indices.

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• #### Using Surds, Rationalising the Denominator

Manipulate surds and rationalise the denominator of a fraction when it is a surd.

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• #### Converting from standard index form to decimal.

Given some numbers in standard index form, convert to decimal form.

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• Numeracy
• Arithmetic

Key Stage 4 / GCSE, Transition to university

• #### Finding unknown coefficients of a polynomial, using the remainder theorem

This question tests the student's knowledge of the remainder theorem and the ways in which it can be applied.

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• #### Finding the full factorisation of a polynomial, using the Factor Theorem and long division

Use a given factor of a polynomial to find the full factorisation of the polynomial through long division.

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• #### Factorising Quadratic Equations with $x^2$ Coefficients of 1

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

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