Other tags that relate to Consecutive Squares
Place value. Powers & roots. Mathematical reasoning & proof. Quadratic functions and graphs. Creating and manipulating expressions and formulae. Factors and multiples. Visualising. Expanding and factorising quadratics. Describing patterns and sequences. Generalising.There are 13 results
Broad Topics > Coordinates, Functions and Graphs > Quadratic functions and graphs
Consecutive Squares
Age 14 to 16 Challenge Level:
The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?
Geometric Parabola
Age 14 to 16 Challenge Level:
Explore what happens when you draw graphs of quadratic equations with coefficients based on a geometric sequence.
Converse
Age 14 to 16 Challenge Level:
Clearly if a, b and c are the lengths of the sides of an equilateral triangle then a^2 + b^2 + c^2 = ab + bc + ca. Is the converse true?
Spaces for Exploration
Age 11 to 14
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
' Tis Whole
Age 14 to 18 Challenge Level:
Take a few whole numbers away from a triangle number. If you know the mean of the remaining numbers can you find the triangle number and which numbers were removed?
Exploring Quadratic Mappings
Age 14 to 16 Challenge Level:
Explore the relationship between quadratic functions and their graphs.
Minus One Two Three
Age 14 to 16 Challenge Level:
Substitute -1, -2 or -3, into an algebraic expression and you'll get three results. Is it possible to tell in advance which of those three will be the largest ?
Fence It
Age 11 to 14 Challenge Level:
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Parabolas Again
Age 14 to 18 Challenge Level:
Here is a pattern composed of the graphs of 14 parabolas. Can you find their equations?
Which Quadratic?
Age 14 to 18 Challenge Level:
This task develops knowledge of transformation of graphs. By framing and asking questions a member of the team has to find out which mathematical function they have chosen.
Parabolic Patterns
Age 14 to 18 Challenge Level:
The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.
More Parabolic Patterns
Age 14 to 18 Challenge Level:
The illustration shows the graphs of twelve functions. Three of them have equations y=x^2, x=y^2 and x=-y^2+2. Find the equations of all the other graphs.
Guessing the Graph
Age 14 to 16 Challenge Level:
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
NRICH is part of the family of activities in the Millennium Mathematics Project.