Placing a point on a number line (20 bars multiple of sqrt{2}/2)

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Anthony Brown

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Anthony Brown 8 years, 7 months ago

Created this as a copy of Placing a point on a number line (21 bars multiple of pi/2).

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 question asks you to place a point on a number line.

Give any introductory information the student needs.

			Name	Type	Generated Value

l	integer	6
r	integer	8
a	number	17
c	number	5.5
b	integer	1

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
floor(c*1.4)-b

JME function reference

Description

This is the left hand endpoint of the numberline.

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

Can an exam override the value of this variable?

Generated value: `integer`

← Depends on:

→ Used by:

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap This gap is not used in the parent part's prompt. Number entry
  Add

Gap-fill

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

Using the approximation $\sqrt{2}\simeq 1.4$ , place the point $\displaystyle A=\var[fractionNumbers]{c}\sqrt{2}$ on the number line below by dragging it.

Note that the line starts at the number $\displaystyle \var{l}$ and finishes at the number $\displaystyle \var{r}$ . In addition please disregard the numbers that appear when you drag the point $A$ , these refer to an invisible grid that enables the program to calculate where you drag the point to.

The point should finish up on a vertical bar, the vertical position of the point does not matter and your answer will default to the nearest vertical bar.

{dragpoint()}

Advice

Since each bar represents $\displaystyle \dfrac{\var{r}-(\var{l})}{20}=\var[fractionNumbers]{(r-l)/20}$ and since the number $\displaystyle A=\var[fractionNumbers]{c}\sqrt{2}\simeq \var[fractionNumbers]{c}\times 1.4=\var[fractionNumbers]{c*1.4}$ lies $\displaystyle A-(\var{l})\simeq\var[fractionNumbers]{l+a/10}-(\var{l})=\var[fractionNumbers]{a*((r-l)/20)}=\var{a}\times \var[fractionNumbers]{(r-l)/20}$ from $\displaystyle \var{l}$, the number $\displaystyle A=\var[fractionNumbers]{c}\sqrt{2}$ lies approximately $\displaystyle \var{a}$ bars from the left as shown below.

{dragpointafter()}

Give a worked solution to the whole question.

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Part	Test	Passed?
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Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

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Placing a point on a number line (20 bars multiple of sqrt{2}/2)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Anthony Brown 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Placing a point on a number line (20 bars multiple of sqrt{2}/2)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Anthony Brown 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`