Other tags that relate to Tangled Trig Graphs
Graph sketching. Inequalities. Biology. Turning points. Transformation of functions. Maths Supporting SET. Functions and their inverses. Graphing software and graphical calculators. Symmetry. Trigonometric functions and graphs.There are 89 results
Broad Topics > Cross-curricular Contexts > Maths Supporting SET
What's That Graph?
Age 14 to 18
Challenge Level
Can you work out which processes are represented by the graphs?
Scientific Curves
Age 16 to 18
Challenge Level
Can you sketch these difficult curves, which have uses in mathematical modelling?
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?
Integration Matcher
Age 16 to 18
Challenge Level
Can you match the charts of these functions to the charts of their integrals?
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.
Back Fitter
Age 14 to 18
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?
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.
Crystal Symmetry
Age 16 to 18
Challenge Level
Use vectors and matrices to explore the symmetries of crystals.
Aim High
Age 16 to 18
Challenge Level
How do you choose your planting levels to minimise the total loss at harvest time?
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.
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?
Bessel's Equation
Age 16 to 18
Challenge Level
Get further into power series using the fascinating Bessel's equation.
Whose Line Graph Is it Anyway?
Age 16 to 18
Challenge Level
Which line graph, equations and physical processes go together?
Brimful 2
Age 16 to 18
Challenge Level
Which of these infinitely deep vessels will eventually full up?
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.
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.
Taking Trigonometry Series-ly
Age 16 to 18
Challenge Level
Look at the advanced way of viewing sin and cos through their power series.
Scale Invariance
Age 16 to 18
Challenge Level
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
Differential Equation Matcher
Age 16 to 18
Challenge Level
Match the descriptions of physical processes to these differential equations.
Transformations for 10
Age 16 to 18
Challenge Level
Explore the properties of matrix transformations with these 10 stimulating questions.
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.
Building Approximations for Sin(x)
Age 16 to 18
Challenge Level
Build up the concept of the Taylor series
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
Big and Small Numbers in Chemistry
Age 14 to 16
Challenge Level
Get some practice using big and small numbers in chemistry.
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?
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.
Approximately Certain
Age 14 to 18
Challenge Level
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Pdf Stories
Age 16 to 18
Challenge Level
Invent scenarios which would give rise to these probability density functions.
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?
Big and Small Numbers in Physics
Age 14 to 16
Challenge Level
Work out the numerical values for these physical quantities.
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.
Vector Walk
Age 14 to 18
Challenge Level
Starting with two basic vector steps, which destinations can you reach on a vector walk?
The Wrong Stats
Age 16 to 18
Challenge Level
Why MUST these statistical statements probably be at least a little bit wrong?
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.
Bigger or Smaller?
Age 14 to 16
Challenge Level
When you change the units, do the numbers get bigger or smaller?
Quorum-sensing
Age 16 to 18 Short
Challenge Level
This problem explores the biology behind Rudolph's glowing red nose.
Biology Measurement Challenge
Age 14 to 16
Challenge Level
Analyse these beautiful biological images and attempt to rank them in size order.
Ball Bearings
Age 16 to 18
Challenge Level
If a is the radius of the axle, b the radius of each ball-bearing, and c the radius of the hub, why does the number of ball bearings n determine the ratio c/a? Find a formula for c/a in terms of n.
Air Routes
Age 16 to 18
Challenge Level
Find the distance of the shortest air route at an altitude of 6000 metres between London and Cape Town given the latitudes and longitudes. A simple application of scalar products of vectors.
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?
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?
NRICH is part of the family of activities in the Millennium Mathematics Project.