Flow – Ideas that underpin Differential Calculus
Presented here is a tried and proven three to five lesson sequence that begins with an engaging real-world context and grows students from the idea of average rate of change to instantaneous rate of change.
It is accessible to any student who has an understanding of average and gradient.
In this collection of resources you will find: a) a three-part introductory video (I, IIa and IIb), which structures the sequence of learning, b) two support video that shows “how to” do the technical stuff on the CG 20 AU.
CG713 Using a table of values
This video shows how to use a table of values to investigate the behaviour of a function, in particular when it takes a zero value, using the Table app of a CASIO fx-CG20 AU.
CG222 Finding a linear model of ‘best fit’ for bivariate data
This short video shows how to determine a line of best fit for bivariate data via a scatterplot drawn using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.
CG712 Generate and plot a table of values
This short video shows how to generate a table of values, along with a plot of the table, for a function using the Table app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.
CG114 Working with angles – converting to and from degrees, mins and secs
This short video shows how to convert angles measured in degrees minutes and seconds to and from angles expressed as decimals using the Run-Matrix app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.
CGA11 Solving a system of simultaneous equations
This short video shows how to solve a system of linear simultaneous equations using the Equation app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.
CG116 Calculating GCD and LCM
This short video shows how to calculate the Greatest Common Divisor (GCD) and Lowest Common Multiple (LCM) of two integers using the Run-Matrix app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.
CG111 Calculating with fractions
This short video shows how to operate with fractions using the Run.Mat app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.
CG113 Converting units of measurement
This short video shows how to convert measurement values like temperature and area between different units of measurement using the Run-Matrix app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.
CG112 Calculating recursively using Ans
This short video shows how to perform recursive calculations, in this case involving compound interest, using the Ans command in the Run.Mat app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.