755 prompts matching "Structured question: circle and line with an unknown intercept"
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Gradient from a linear equation
I am in SS 1. I'm going to explain finding the gradient and y-intercept of a line directly
Finding the equation of a line parallel to the x-axis or y-axis through a point
I am in SS 1. I'm going to explain finding the equation of a line through a given point th
Gradient as a rate of change interpretation
I am in SS 1. I'm going to explain interpreting the gradient of a straight-line graph as a
Solving a word problem using simultaneous equations
I am in SS 1. I'm going to explain a word problem that must be solved by setting up and so
Common Mistakes: Why a rational number added to an irrational one stays irrational
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on why
Practice: Collecting similar surds in an expression
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Common Mistakes: Subtraction as an example of neither law
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Practice: Why an identity element must work from both sides
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Common Mistakes: Checking an inverse by working the operation both ways
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Practice: The law for a power raised to another power
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Worked Example: Solving an indicial equation where one side must be factorised first
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Common Mistakes: An indicial equation solved by substitution
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Worked Example: Writing an index statement as a logarithm
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Worked Example: Converting a logarithm to base ten so that tables can be used
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Worked Example: Finding the common difference of an arithmetic progression
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Practice: Finding n when the sum of an arithmetic progression is given
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Common Mistakes: Inserting a geometric mean between two numbers
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Worked Example: Which form of the sum formula to use when r is less than one
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Common Mistakes: A double inequality such as 2 less than x less than 7
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Common Mistakes: A quadratic inequality that has to be rearranged first
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