JSXGraph diagram

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Lars Hansson 6 years, 3 months ago

Created this as a copy of Use student input in a JSXGraph diagram.

Name	Status	Author	Last Modified
Use student input in a JSXGraph diagram	Ready to use	Christian Lawson-Perfect	03/02/2021 13:53
Amplitude Modulation	Ready to use	Martin Johnston	24/01/2025 14:58
Graeme's copy of Amplitude Modulation	Ready to use	Graeme Chester	02/06/2016 15:23
Kirchoff's Law	Ready to use	Martin Johnston	24/01/2025 14:58
Martin's copy of Kirchoff's Law	Ready to use	Martin Johnston	24/01/2025 14:58
joshua's copy of Jinhua's copy of Equation of a line 2	Ready to use	joshua boddy	03/02/2021 13:59
Julie's copy of joshua's copy of Jinhua's copy of Equation of a line 2	Ready to use	Julie Crowley	03/02/2021 13:59
JSXGraph test	draft	Tore Gaupseth	03/02/2021 13:59
Using student input in a JSXGraph diagram	draft	Anthony Brown	03/02/2021 13:59
Graphs I: Linear - Line equation	Ready to use	Sarah Turner	03/02/2021 13:59
capturando respuestas del board de JSXGraph diagram	draft	Marlon Arcila	03/02/2021 13:59
pasar variables Graphs I: Linear - Line equation	draft	Marlon Arcila	03/02/2021 13:59
1: Linear Graph - Time vs. Orogen Elevation	Doesn't work	Luke Park	19/12/2022 17:23
Graphs I: Linear - Line equation	Ready to use	Nasir Firoz Khan	03/02/2021 13:59
Gareth's copy of pasar variables Graphs I: Linear - Line equation	draft	Gareth Woods	03/02/2021 13:59
Using student input in a JSXGraph diagram	draft	Marlon Arcila	14/11/2016 13:27
Hannah's copy of Graphs I: Linear - Line equation	draft	Hannah Bartholomew	03/02/2021 13:59
Find equation of line (negative and fractions points)	draft	Julie Crowley	03/02/2021 13:59
Find equation of line	draft	Ben Morris	03/02/2021 13:59
Lovkush's copy of Using student input in a JSXGraph diagram	draft	Lovkush Agarwal	03/02/2021 13:59
Harry's copy of Using student input in a JSXGraph diagram	draft	Harry Flynn	24/03/2017 10:39
MA1002 Find equation of line (negative and fractions points)	draft	Kieran Mulchrone	03/02/2021 13:59
Alex's copy of Using student input in a JSXGraph diagram	draft	Alex Van den Hof	03/02/2021 13:59
Joseph's copy of Using student input in a JSXGraph diagram	draft	Joseph Mastromatteo	03/02/2021 13:59
Edward's copy of Use student input in a JSXGraph diagram	draft	Edward Hall	27/09/2017 23:03
Edward's copy of Use student input in a JSXGraph diagram	draft	Edward Hall	27/09/2017 23:15
GraphTemplate	draft	Raymond Corrigan	03/02/2021 13:59
Graph1	draft	Raymond Corrigan	31/03/2018 11:10
Ashley's copy of GraphTemplate	draft	Ashley Cusack	03/02/2021 13:59
Paul's copy of Use student input in a JSXGraph diagram	draft	Paul Hancock	03/02/2021 13:59
Michael's copy of Use student input in a JSXGraph diagram	draft	Michael Hoffmann	03/02/2021 13:59
Michael's copy of Use student input in a JSXGraph diagram	draft	Michael Hoffmann	03/02/2021 13:59
Line through two points	draft	Maths Tutor	03/02/2021 13:59
Graph - Line equation	draft	heike hoffmann	03/02/2021 13:59
Ruth's copy of Use student input in a JSXGraph diagram	draft	Ruth Allison	03/02/2021 13:59
JSXGraph diagram	draft	Lars Hansson	03/02/2021 13:59
JSXGraph diagram	draft	Lars Hansson	03/02/2021 13:59
Terry's copy of Use student input in a JSXGraph diagram	draft	Terry Young	03/02/2021 13:59
Visualisation of limit definition of derivative	draft	Paul King	18/06/2020 15:49
Danny's copy of Use student input in a JSXGraph diagram	Has some problems	Danny Tan	03/02/2021 13:59
JSXGraph diagram	draft	Lars Hansson	03/02/2021 13:59
Thomas's copy of Use student input in a JSXGraph diagram	draft	Thomas Cottrell	03/02/2021 13:59
Graph question for Melissa	Needs to be tested	David Martin	16/08/2019 11:42
David's copy of Graph question for Melissa	draft	David Martin	16/08/2019 11:43

There are 142 other versions that do you not have access to.

Question statement

{eqnline(a,b,x2,y2,pos,xlimits,ylimits)}

The above graph shows a line which has an equation of the form $y=ax+b$ , where $a$ and $b$ are integers.

You are given two points on the line, $(0,\var{b})$ and $(\var{x2},\var{y2})$ , as indicated on the diagram.

Give any introductory information the student needs.

			Name	Type	Generated Value

xlimits	vector	vector(-1,6)
ylimits	vector	vector(-30,30)
xmax	integer	6
xmin	integer	-1
ymin	integer	-30
ymax	integer	30

			Name	Type	Generated Value

x2	integer	3
b	integer	-3
a	integer	-1
y2	integer	-6
p0	integer	5
pos	matrix	matrix([1,0],[1,4])
p1	integer	2
p2	integer	0

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
vector(xmin,xmax)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `vector`

vector(-1,6)

← Depends on:

xmax
xmin

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Mathematical expression
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Write the equation of the line in the diagram. The line described by your equation will also be drawn on the diagram.

$y=\;$Unnamed gap

Advice

First Method.

You are given that the line goes through $(0,\var{b})$ and $(-1,\var{b-a})$ and the equation of the line is of the form $y=ax+b$

Hence:

1) At $x=0$ we have $y=\var{b}$, and this gives $\var{b}=a \times 0 +b =b$ on putting $x=0$ into $y=ax+b$.

So $b=\var{b}$.

2) At $x=-1$ we have $y=\var{b-a}$, and this gives $\var{b-a}=a \times (-1) +b =\simplify[all,!collectNumbers]{-a+{b}}$ on putting $x=-1$ into $y=ax+b$.

On rearranging we obtain $a=\simplify[all,!collectNumbers]{{b}-{b-a}}=\var{a}$.

So $a=\var{a}$.

So the equation of the line is $\simplify{y={a}*x+{b}}$.

Second Method.

The equation $y=ax+b$ tells us that the graph crosses the $y$-axis (when $x=0$) at $y=b$.

So looking at the graph we immediately see that $b=\var{b}$.

$a$ is the gradient of the line and is given by the change from $(-1,\var{b-a})$ to $(0,\var{b})$:

\[a=\frac{\text{Change in y}}{\text{Change in x}}=\frac{\simplify[all,!collectNumbers]{({b-a}-{b})}}{-1-0}=\var{a}\]

Give a worked solution to the whole question.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Lars Hansson 6 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: `vector`

Parts

Gap-fill

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Error

JSXGraph diagram

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Lars Hansson 6 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: vector

Parts

Gap-fill

Generated value: `vector`