Vicky's copy of Sketching graphs: sketch 1/x

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Vicky Mason 6 years, 6 months ago

Created this as a copy of Sketching graphs: sketch 1/x.

Name	Status	Author	Last Modified
JSXGraph test	Should not be used	Christian Lawson-Perfect	03/02/2021 13:59
Update a non-interactive HTML tag based on a value from a JSXGraph diagram	Should not be used	Christian Lawson-Perfect	03/02/2021 13:59
Plotting a point on a graph	draft	Anthony Brown	03/02/2021 13:59
Identifying a point on a graph	draft	Anthony Brown	07/08/2018 18:22
Identifying a point on a graph	draft	Anthony Brown	07/08/2018 18:48
Plotting a point on a graph	draft	Anthony Brown	03/02/2021 13:59
Placing points on a number line	draft	Anthony Brown	07/08/2018 18:28
Placing a point on a number line	draft	Anthony Brown	07/08/2018 18:47
Plotting points on a graph	draft	Anthony Brown	07/08/2018 18:29
Identifying points on a graph	draft	Anthony Brown	07/08/2018 18:23
Draw a straight line graph by dragging points	draft	Anthony Brown	30/08/2016 12:00
Placing a point on a number line (12 bars non integers)	draft	Anthony Brown	12/07/2017 16:38
Placing a point on a number line (12 bars integers)	draft	Anthony Brown	12/07/2017 16:43
Placing a point on a number line (10 bars integers)	draft	Anthony Brown	12/07/2017 16:41
Placing a point on a number line (20 bars non-integers)	draft	Anthony Brown	12/07/2017 16:35
Placing a point on a number line (20 bars integers)	draft	Anthony Brown	12/07/2017 16:44
Placing a point on a number line (16 bars integers)	draft	Anthony Brown	12/07/2017 16:43
Placing a point on a number line (16 bars non-integers)	draft	Anthony Brown	12/07/2017 16:37
Placing a point on a number line (21 bars multiple of pi/2)	draft	Anthony Brown	06/07/2017 15:53
Placing a point on a number line (21 bars multiple of pi/3)	draft	Anthony Brown	06/07/2017 16:32
Placing a point on a number line (20 bars multiple of sqrt{2}/2)	draft	Anthony Brown	06/07/2017 15:50
Placing a point on a number line (20 bars multiple of sqrt{2}/4)	draft	Anthony Brown	06/07/2017 15:46
Draw a straight line graph by dragging points	draft	Paul Howes	20/10/2016 17:21
Morten's copy of Plotting points on a graph	draft	Morten Brekke	13/03/2017 13:59
Mark points crossing the axes	Ready to use	Christian Lawson-Perfect	14/11/2022 18:04
Morten's copy of Mark points crossing the axes	draft	Morten Brekke	13/03/2017 15:07
Linjer som krysser akser	draft	Morten Brekke	14/03/2017 10:11
Hina's copy of Draw a straight line graph by dragging points	draft	Hina Ahmed	28/03/2017 19:39
getallenas natuurlijke getallen	draft	Johan Maertens	13/09/2017 20:45
Coördinaten van punten op een assenstelsel zoeken	Ready to use	Johan Maertens	02/12/2020 15:42
Daniel's copy of Linjer som krysser akser	draft	Daniel Meselu	11/07/2017 10:11
Draw a quadratic graph by dragging points	draft	Anthony Brown	17/08/2017 17:31
Joshua's copy of JSXGraph test	draft	Joshua Capel	03/02/2021 13:59
Geometry: trig on unit circle I	draft	Lovkush Agarwal	20/06/2018 13:04
Geometry: trig on unit circle	draft	Lovkush Agarwal	20/06/2018 12:50
Sketching graphs: sketch 2^x	draft	Lovkush Agarwal	06/11/2019 14:37
Sketching graphs: sketch log_2	draft	Lovkush Agarwal	15/11/2019 09:48
Sketching graphs: sketch square root	draft	Lovkush Agarwal	20/06/2018 10:52
Sketching graphs: sketch 1/x	draft	Lovkush Agarwal	19/06/2018 16:41
Nicholas's copy of JSXGraph test	draft	Nicholas Barker	03/02/2021 13:59
Paul's copy of Geometry: trig on unit circle I	draft	Paul Emanuel	28/06/2018 01:28
Vicky's copy of Sketching graphs: sketch 1/x	draft	Vicky Mason	11/10/2018 15:35
Vicky's copy of Sketching graphs: sketch 1/x	draft	Vicky Mason	11/10/2018 15:35
José's copy of JSXGraph test	draft	Jos Klenner	03/02/2021 13:59
Geometry: trig on unit circle, short	draft	Lovkush Agarwal	15/11/2019 16:09
Barry's copy of Sketching graphs: sketch log_2	draft	Barry Zhang	23/11/2018 08:04
Portfolio Task 2 Q2	Ready to use	Ruth Allison	06/04/2021 09:24
Musa's copy of 3 Geometry: trig on unit circle, short	draft	Musa Mammadov	27/06/2023 01:32

There are 183 other versions that do you not have access to.

Question statement

This is a non-calculator question.

Give any introductory information the student needs.

			Name	Type	Generated Value

			x	list	List of 8 items
			y	list	List of 8 items

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
[1,2,3,1/2,
  random([1/3,1/4,1/5]),
  -1,
  random([-2,-3,-4]),
  random([-1/2,-1/3,-1/4,-1/5])]

JME function reference

Description

The y-intercept.

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

Can an exam override the value of this variable?

Generated value: `list`

[ 1, 2, 3, 1/2, 1/4, -1, -4, -1/5 ]

→ Used by:

This variable doesn't seem to be used anywhere.

Parts

Gap-fill

Gap-fill

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

{dragpoint()}

We want to sketch a graph of the function $f(x) = \frac{1}{x}$ . We will do this be plotting several points, and then seeing the overall pattern that emerges.

(i) By filling in a table like the one below, drag the points A to H to the correct location.

Point	A	B	C	D	E	F	G	H
$x$	$\simplify[fractionNumbers]{{x[0]}}$	$\simplify[fractionNumbers]{{x[1]}}$	$\simplify[fractionNumbers]{{x[2]}}$	$\simplify[fractionNumbers]{{x[3]}}$	$\simplify[fractionNumbers]{{x[4]}}$	$\simplify[fractionNumbers]{{x[5]}}$	$\simplify[fractionNumbers]{{x[6]}}$	$\simplify[fractionNumbers]{{x[7]}}$
$f(x)$

(Note, to be marked correctly, you only need to move the points to within 0.04 of the exact location.)

(ii) Hence, select the graph of $f(x)=\frac{1}{x}$ from below:

Gap 8.

Advice

(i) {answer(x[0],y[0],x[1],y[1],x[2],y[2],x[3],y[3],x[4],y[4],x[5],y[5],x[6],y[6],x[7],y[7],0)}

Give a worked solution to the whole question.

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There was an error which means the tests can't run:

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Choose one from a list
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Vicky's copy of Sketching graphs: sketch 1/x

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Vicky Mason 6 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

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Error

Vicky's copy of Sketching graphs: sketch 1/x

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Vicky Mason 6 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`