Katherine's copy of The gradient of an interval between two points

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Katherine Tomlinson

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Katherine Tomlinson 7 years, 8 months ago

Created this as a copy of The gradient of an interval between two points.

Name	Status	Author	Last Modified
Straight lines: given two points find the equation	Ready to use	Ben Brawn	19/03/2025 08:43
The gradient of an interval between two points	Ready to use	Ben Brawn	20/06/2017 06:25
Katherine's copy of The gradient of an interval between two points	draft	Katherine Tomlinson	01/08/2017 13:00
Terry's copy of Straight lines: given two points find the equation	draft	Terry Young	03/02/2021 13:59
Terry's copy of The gradient of an interval between two points	draft	Terry Young	03/04/2019 17:57

There are 9 other versions that do you not have access to.

Question statement

Fill in the blanks.

Give any introductory information the student needs.

			Name	Type	Generated Value

x0	integer	-4
y0	integer	-2
x1	integer	-5
y1	integer	9
m	rational	-11
const	rational	-46

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-10..10 except 0)

JME function reference

Description

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

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Generated value: `integer`

-4

→ Used by:

const
m
x1

Advice
"Unnamed part" - prompt
"Unnamed part" → "Unnamed gap" - Correct answer

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.

The gradient of the interval between the points ({x0},{y0}) and ({x1},{y1}) is $m=$ Unnamed gap.

Advice

{line_and_2points()}

Determine the gradient by $m=\dfrac{\text{rise}}{\text{run}}$, or $m=\dfrac{y_2-y_1}{x_2-x_1}$.

So in particular, $\displaystyle m=\frac{\simplify[!collectNumbers]{{y1}-{y0}}}{\simplify[!collectNumbers]{{x1}-{x0}}}$$=\dfrac{\simplify{{y1-y0}}}{\simplify{{x1-x0}}}$$\displaystyle =\simplify[basic, fractionNumbers, simplifyFractions]{{(y1-y0)/(x1-x0)}}$.

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Part	Test	Passed?
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Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exam:

Coordinate Geometry Test by Katherine Tomlinson in Katherine's workspace.

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Katherine's copy of The gradient of an interval between two points

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Katherine Tomlinson 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Katherine's copy of The gradient of an interval between two points

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Katherine Tomlinson 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`