Other tags that relate to Tangled Trig Graphs
Inequalities. Turning points. Functions and their inverses. Maths Supporting SET. Biology. Limits of Sequences. Symmetry. Graph sketching. Trigonometric functions and graphs. Graphing software and graphical calculators.There are 90 results
Broad Topics > Cross-curricular Contexts > Maths Supporting SET
Real-life Equations
Age 16 to 18 Challenge Level:
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Scientific Curves
Age 16 to 18 Challenge Level:
Can you sketch these difficult curves, which have uses in mathematical modelling?
Curve Fitter 2
Age 16 to 18 Challenge Level:
Can you construct a cubic equation with a certain distance between its turning points?
Crystal Symmetry
Age 16 to 18 Challenge Level:
Use vectors and matrices to explore the symmetries of crystals.
Integration Matcher
Age 16 to 18 Challenge Level:
Can you match the charts of these functions to the charts of their integrals?
Stirling Work
Age 16 to 18 Challenge Level:
See how enormously large quantities can cancel out to give a good approximation to the factorial function.
Transformations for 10
Age 16 to 18 Challenge Level:
Explore the properties of matrix transformations with these 10 stimulating questions.
Square Pair
Age 16 to 18 Challenge Level:
Explore the shape of a square after it is transformed by the action of a matrix.
Reaction Rates
Age 16 to 18 Challenge Level:
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
Taking Trigonometry Series-ly
Age 16 to 18 Challenge Level:
Look at the advanced way of viewing sin and cos through their power series.
Root Hunter
Age 16 to 18 Challenge Level:
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
Population Dynamics Collection
Age 16 to 18 Challenge Level:
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Differential Equation Matcher
Age 16 to 18 Challenge Level:
Match the descriptions of physical processes to these differential equations.
Bessel's Equation
Age 16 to 18 Challenge Level:
Get further into power series using the fascinating Bessel's equation.
Building Approximations for Sin(x)
Age 16 to 18 Challenge Level:
Build up the concept of the Taylor series
What Do Functions Do for Tiny X?
Age 16 to 18 Challenge Level:
Looking at small values of functions. Motivating the existence of the Taylor expansion.
Brimful 2
Age 16 to 18 Challenge Level:
Which of these infinitely deep vessels will eventually full up?
Whose Line Graph Is it Anyway?
Age 16 to 18 Challenge Level:
Which line graph, equations and physical processes go together?
Back Fitter
Age 14 to 16 Challenge Level:
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
Approximately Certain
Age 14 to 18 Challenge Level:
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Big and Small Numbers in Physics
Age 14 to 16 Challenge Level:
Work out the numerical values for these physical quantities.
Operating Machines
Age 16 to 18 Challenge Level:
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
Constantly Changing
Age 14 to 16 Challenge Level:
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Speed-time Problems at the Olympics
Age 14 to 16 Challenge Level:
Have you ever wondered what it would be like to race against Usain Bolt?
Fix Me or Crush Me
Age 16 to 18 Challenge Level:
Can you make matrices which will fix one lucky vector and crush another to zero?
Cross with the Scalar Product
Age 16 to 18 Challenge Level:
Explore the meaning of the scalar and vector cross products and see how the two are related.
Robot Camera
Age 14 to 16 Challenge Level:
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Pdf Stories
Age 16 to 18 Challenge Level:
Invent scenarios which would give rise to these probability density functions.
How Do You React?
Age 14 to 16 Challenge Level:
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Big and Small Numbers in Chemistry
Age 14 to 16 Challenge Level:
Get some practice using big and small numbers in chemistry.
Alternative Record Book
Age 14 to 18 Challenge Level:
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
What's That Graph?
Age 14 to 16 Challenge Level:
Can you work out which processes are represented by the 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?
Elastic Maths
Age 14 to 18
How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.
Truth Tables and Electronic Circuits
Age 11 to 18
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Investigating the Dilution Series
Age 14 to 16 Challenge Level:
Which dilutions can you make using only 10ml pipettes?
Big and Small Numbers in the Living World
Age 11 to 16 Challenge Level:
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
The Wrong Stats
Age 16 to 18 Challenge Level:
Why MUST these statistical statements probably be at least a little bit wrong?
Big and Small Numbers in the Physical World
Age 14 to 16 Challenge Level:
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Over-booking
Age 16 to 18 Challenge Level:
The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked?
Spherical Triangles on Very Big Spheres
Age 16 to 18 Challenge Level:
Shows that Pythagoras for Spherical Triangles reduces to Pythagoras's Theorem in the plane when the triangles are small relative to the radius of the sphere.
Production Equation
Age 16 to 18 Challenge Level:
Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?
Immersion
Age 14 to 16 Challenge Level:
Various solids are lowered into a beaker of water. How does the water level rise in each case?
NRICH is part of the family of activities in the Millennium Mathematics Project.