Other tags that relate to Tangled Trig Graphs
Turning points. Transformation of functions. Inequalities. Biology. Symmetry. Maths Supporting SET. Graphing software and graphical calculators. Graph sketching. Limits of Sequences. Trigonometric functions and graphs.There are 89 results
Broad Topics > Cross-curricular Contexts > Maths Supporting SET
Integration Matcher
Age 16 to 18 Challenge Level:
Can you match the charts of these functions to the charts of their integrals?
Scientific Curves
Age 16 to 18 Challenge Level:
Can you sketch these difficult curves, which have uses in mathematical modelling?
Brimful 2
Age 16 to 18 Challenge Level:
Which of these infinitely deep vessels will eventually full up?
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.
Crystal Symmetry
Age 16 to 18 Challenge Level:
Use vectors and matrices to explore the symmetries of crystals.
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.
Aim High
Age 16 to 18 Challenge Level:
How do you choose your planting levels to minimise the total loss at harvest time?
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?
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.
Transformations for 10
Age 16 to 18 Challenge Level:
Explore the properties of matrix transformations with these 10 stimulating questions.
Differential Equation Matcher
Age 16 to 18 Challenge Level:
Match the descriptions of physical processes to these differential equations.
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.
Whose Line Graph Is it Anyway?
Age 16 to 18 Challenge Level:
Which line graph, equations and physical processes go together?
Building Approximations for Sin(x)
Age 16 to 18 Challenge Level:
Build up the concept of the Taylor series
Bessel's Equation
Age 16 to 18 Challenge Level:
Get further into power series using the fascinating Bessel's equation.
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.
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?
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.
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?
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 Physics
Age 14 to 16 Challenge Level:
Work out the numerical values for these physical quantities.
Approximately Certain
Age 14 to 18 Challenge Level:
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
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?
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.
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.
Square Pair
Age 16 to 18 Challenge Level:
Explore the shape of a square after it is transformed by the action of a matrix.
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?
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.
Construct the Solar System
Age 14 to 18 Challenge Level:
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Big and Small Numbers in Chemistry
Age 14 to 16 Challenge Level:
Get some practice using big and small numbers in chemistry.
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?
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.
Maths Filler 2
Age 14 to 16 Challenge Level:
Can you draw the height-time chart as this complicated vessel fills with water?
Big and Small Numbers in Biology
Age 14 to 16 Challenge Level:
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
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?
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?
NRICH is part of the family of activities in the Millennium Mathematics Project.