688 prompts matching "Treating any vector with small components as a unit vector"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Show All Working: Simplifying a surd expression that contains brackets
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on simplifying a s
Common Mistakes: Expanding the product of two surd brackets
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on exp
Worked Example: Rationalising a denominator that is a single surd
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on ration
Explain Back: Simplifying the answer once the denominator is rational
I have just studied simplifying the answer once the denominator is rational in my SS1 Furt
Show All Working: Checking a rationalised answer by decimal approximation
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on checking a rati
Common Mistakes: Rationalising a denominator of the form root a over root b
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on rat
Worked Example: Why multiplying by the conjugate clears the surd
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why mu
Explain Back: The difference of two squares applied to surd conjugates
I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur
Show All Working: A conjugate where the surd term comes first
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on a conjugate whe
Common Mistakes: Rationalising when both terms of the denominator are surds
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on rat
Worked Example: Squaring both sides safely when solving a surd equation
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on squari
Explain Back: Solving an equation where the surd must be isolated first
I have just studied solving an equation where the surd must be isolated first in my SS1 Fu
Show All Working: Finding a and b when a plus b root 2 equals a given surd
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on finding a and b
Worked Example: Reading the symbol used for a binary operation
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on readin
Explain Back: A binary operation defined on the integers
I have just studied a binary operation defined on the integers in my SS1 Further Mathemati
Common Mistakes: A binary operation that is ordinary addition in disguise
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a b
Worked Example: Testing the even numbers for closure under addition
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on testin
Explain Back: Testing the integers for closure under division
I have just studied testing the integers for closure under division in my SS1 Further Math
Show All Working: Showing a set is not closed by a single counter-example
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on showing a set i
Common Mistakes: Closure on a set of three elements under a stated rule
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on clo