Higher Order Thinking

Improve your Maths using Blooms Taxonomy

Created by Mr.Lafferty@mathsrevision.com

Remembering

Understanding

Applying

Analysing

Evaluating

Creating

Anti-Clockwise →

← Clockwise

List

Outline

Describe

Explain

Demonstrate

Discuss

Analyse

Compare / Contrast

Check

Assess

Plan

Predict

Select

Choose

Concentrate on the main bits of the topic or item.

Give an item by item record.

Identify

Summarise

Illustrate

Prove

Examine

Investigate

Evaluate

Justify

Develop

Create

Using information you have
work out a likely outcome.

Outline in advance
covering main ideas.

Improve by building on initial ideas.

Make or invent

Explore important ideas and how they are related.

Show & discuss the similarities and differences.

Look at something closely.

Look at a topic in detail in an organised way.

Show, explain or describe using information

Explore advantages & disadvantages 
attempting to come to a judgement.

Show by explaining and giving examples. 

Give real evidence to show arguement to be true.

Give a detailed account.

Make clear giving
 reasons and causes.

Recognise or show 
something as being certain.

Give the main points of an idea.

Esitmate or evaluate the value of something.

Look something over again
and make sure it is correct.

Show something is true 
or valid using evidence.

Explore the good and bad points
supporting your agruement with evidence.

A = Intersect(xAxis, yAxis)
c = Circle(A, 6)
B = Intersect(c, xAxis, 2)
C = Intersect(c, a, 2)
d = CircleSector(A, B, C)
D = Intersect(c, b, 1)
E = Intersect(c, xAxis, 1)
F = Intersect(c, a, 1)
G = Intersect(c, b, 2)
e = CircleSector(A, C, D)
f = CircleSector(A, D, E)
g = CircleSector(A, E, F)
h = CircleSector(A, F, G)
k = CircleSector(A, G, B)
i = Segment(A, C)
j = Segment(A, D)
l = Segment(A, E)
m = Segment(A, F)
n = Segment(A, G)
p = Segment(A, B)
q = Segment(A, E)
α = 0 rad (slider from 0 to 300°, step 15°)
C' = Rotate(C, α)
D' = Rotate(D, α)
B' = Rotate(B, α)
H = Point(i)
I = Point(j)
J = Point(p)
r = CircumcircleSector(H, I, J)
H' = Rotate(H, α - 60°)
I' = Rotate(I, α - 60°)
J' = Rotate(J, α - 60°)
s = Circle(A, 6)
H'_1 = Rotate(H, α)
I'_1 = Rotate(I, α)
J'_1 = Rotate(J, α)
r' = CircumcircleSector(H'_1, I'_1, J'_1)