Equations of straight lines MCQ

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Christian Lawson-Perfect	said	Ready to use	7 years, 9 months ago
Bradley Bush	said	Needs to be tested	7 years, 10 months ago

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Elliott Fletcher 7 years, 9 months ago

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Christian Lawson-Perfect 7 years, 9 months ago

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Christian Lawson-Perfect 7 years, 9 months ago

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Bradley Bush 7 years, 10 months ago

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Name	Status	Author	Last Modified
Equations of straight lines MCQ	Ready to use	Bradley Bush	20/11/2019 14:37
Equations of parallel lines	Ready to use	Bradley Bush	20/11/2019 14:37
Ida's copy of Equations of straight lines MCQ	draft	Ida Landgärds	12/04/2018 14:04
Identifiera graf med ekvation	draft	Ida Landgärds	12/04/2018 14:05
Spørsmål 2	draft	Ida Landgärds	13/03/2023 08:46
Dadas las ecuaciones de rectas paralelas....	Ready to use	Luis Hernandez	14/12/2020 18:36

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Question statement

Identify the equations which relate to the different functions displayed on the graph bellow.

{geogebra_applet('WuavQqEG',[["m1",m1],["m2",m2],["m3",m3],["c1",c1],["c2",c2],["c3",c3],["c4",c4],["c5",c5],["f1",f1],["d1",d1],["a1",a1],["b1",b1]])}

Give any introductory information the student needs.

			Name	Type	Generated Value

m1	number	1.1
m2	number	1.1
m3	number	-1
mfake	integer	-1

			Name	Type	Generated Value

c1	integer	-6
c2	integer	17
c3	integer	4
c4	integer	3
c5	integer	16
cfake	integer	-3
cpar	integer	584

			Name	Type	Generated Value

a1	integer	30
b1	integer	25
c10	number	30
d1	integer	60
f1	integer	-40

			Name	Type	Generated Value

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..2#0.1)

JME function reference

Description

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

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Generated value: `number`

1.1

This variable doesn't seem to be used anywhere.

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Match choices with answers

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

Use the graph above to match the correct line to each equation.

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$y=\simplify{{m1}x+{c1}}$
$y=\simplify{{m2}x+{c2}}$
$y=\simplify{{m3}x+{c3}}$
$y=\var{c4}$
$x=\var{c5}$
$y=\simplify{{mfake}x+{cfake}}$

$A_0$
$B_0$
$C_0$
$D_0$
$E_0$
None of these

For each combination of answer and choice, specify the number of marks to add or subtract when the student picks it.

	$A_0$	$B_0$	$C_0$	$D_0$	$E_0$	None of these
$y=\simplify{{m1}x+{c1}}$
$y=\simplify{{m2}x+{c2}}$
$y=\simplify{{m3}x+{c3}}$
$y=\var{c4}$
$x=\var{c5}$
$y=\simplify{{mfake}x+{cfake}}$

Advice

All but one of the straight lines above follow the general formula $y=mx+c$ where $m$ is a constant denoting the gradient of a line and $c$ is a constant denting the $y$-intercept of a line.

The gradient (given by $m$), indicates the slope of a straight line. Where this is positive, the $y$-coordinate along the line increases by $m$ for every increase in the value of $x$ by $1$. For example, $y=3x$ indicates that for every increase in the value of $x$ by $1$, the value of $y$ increases by $3$. Where there is no $m$ (i.e. $y=c$), the line is straight and horizontal as the value of $y$ has no dependence on the value of $x$.

The $y$-intercept (given by $c$), indicates the point where the line passes through the $y$-axis. If the line equation has no $c$ (i.e. $y=mx$), the line has a $y$ intercept of $0$ (passing through the origin).

We can use our knowledge of the slope of the line and the $y$-intercept to then judge which points on the graph correspond to which equations.

$y=\simplify{{m1}x+{c1}}$ gives us $m=\var{m1}$ and $c=\var{c1}$.

$y=\simplify{{m2}x+{c2}}$ gives us $m=\var{m2}$ and $c=\var{c2}$.

$y=\simplify{{m3}x+{c3}}$ gives us $m=\var{m3}$ and $c=\var{c3}$.

$y=\simplify{{c4}}$ gives us $m=0$ and $c=\var{c1}$.

$x=\var{c5}$ is the exception to the $y=mx+c$ form of writing straight line equations. This equation gives a value for $x$ independent of the value of $y$ so a straight, vertical line is formed at the $x$-coordinate $\var{c5}$.

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Taxonomy: mathcentre

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Taxonomy: Context

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Elliott Fletcher 7 years, 9 months ago

Christian Lawson-Perfect 7 years, 9 months ago

Christian Lawson-Perfect 7 years, 9 months ago

Bradley Bush 7 years, 10 months ago

Bradley Bush 7 years, 10 months ago

Error in variable testing condition

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Generated value: `number`

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Match choices with answers

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Equations of straight lines MCQ

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Elliott Fletcher 7 years, 9 months ago

Christian Lawson-Perfect 7 years, 9 months ago

Christian Lawson-Perfect 7 years, 9 months ago

Bradley Bush 7 years, 10 months ago

Bradley Bush 7 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Match choices with answers

Advanced settings

Generated value: `number`