Substitute values into formulas

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From users who are members of Transition to university :

Christian Lawson-Perfect	said	Ready to use	7 years, 8 months ago
Aiden McCall	said	Needs to be tested	7 years, 9 months ago
Lauren Richards	said	Has some problems	7 years, 9 months ago
Chris Graham	said	Has some problems	7 years, 9 months ago

History

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Christian Lawson-Perfect 7 years, 5 months ago

Saved a checkpoint:

I've changed the definition of x2 to make sure the sales are always non-negative.

Restore this checkpoint

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J. Richard Snape commented 7 years, 5 months ago

Part (b) uses the random variable n={0..4}, but that can give negative sales in a year which doesn't make much sense. I think that the variable definition has been copied over from a different word type question and should actually be allowed to run {2..5}

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Elliott Fletcher 7 years, 8 months ago

Published this.

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Christian Lawson-Perfect 7 years, 8 months ago

Gave some feedback: Ready to use

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Christian Lawson-Perfect 7 years, 8 months ago

Saved a checkpoint:

Part c was wrong in a few ways! Given the formula for converting from Celsius into Fahrenheit, it asked the student to convert a temperature in Celsius into Fahrenheit - the other way round. It looks like your definition of the variable T_F was also wrong.

I've fixed those, and the rest of the question looks good.

Restore this checkpoint

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Aiden McCall 7 years, 9 months ago

Gave some feedback: Needs to be tested

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Aiden McCall 7 years, 9 months ago

Gave some feedback: Has some problems

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Aiden McCall 7 years, 9 months ago

Gave some feedback: Needs to be tested

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Lauren Richards 7 years, 9 months ago

Gave some feedback: Has some problems

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Lauren Richards commented 7 years, 9 months ago

Main parts

You need a full stop at the end of the statement.

You don't need a comma before the function of the curve in part a).

I think part a) needs to be reworded a little. Maybe put the curve function first.

Part b) is fine.

You don't need a comma on the first line of part c). However, there should be one after the formula. There shouldn't be one after where on the third line.

Advice

It should be a full stop rather than a comma after "substitute 5 into 9x^2 +3x +22." in part a). Maybe reiterate that the final answer you get is equal to the y-coordinate.

Same comments as above for part b). A full stop and reiterate that it is the predicted number of yachts sold.

For part c), it should be a full stop at the end of the first line. Start the next line as a new sentence with a capital letter and end that line with a full stop. Reiterate that the final answer is the temperature in fahrenheit.

Good questions and I like the contexts!

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Aiden McCall 7 years, 9 months ago

Gave some feedback: Needs to be tested

○

Aiden McCall 7 years, 9 months ago

Gave some feedback: Has some problems

○

Aiden McCall 7 years, 9 months ago

Gave some feedback: Needs to be tested

○

Lauren Richards 7 years, 9 months ago

Gave some feedback: Has some problems

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Lauren Richards commented 7 years, 9 months ago

Hi Aiden,

- I think the way that you have written x=5 in the advice is the way you should write it in the questions. I think that would make it a little clearer. At first, it looks like x=5 is a continuation of the expression. I think this is probably better:

'At x=5,

what is the value of 4x^2+x+53?'

- You need to say in part c) that the user is to use pi=3.142. You did it for part e) but not for part c). I did the question using my calculator pi button as you hadn't specified using any simplification, and the answer I gave was marked incorrect due to different rounding. I then had to use the same answer when finding the volume of the cone and it accepted my answer that time, when multiplied with h/3 so it is only a problem for part c).

- You have the radius, 'r' written in LaTex in part c), but not in part d).

- In part e), "Geraldine has a ball of radius 31.4cm // she wants to find the volume of the ball." doesn't make sense. You're missing a full stop and a capitalisation, or an and. Also, I think the next sentence should be on a separate line personally.

- I don't know if it is automatic, or whether you can change it, but your rounding requirements in part c) and d) are specifying 1 decimal place - singular, but saying "Round your answer to 1 decimal places" - plural.

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Aiden McCall 7 years, 9 months ago

Gave some feedback: Needs to be tested

○

Aiden McCall 7 years, 9 months ago

Gave some feedback: Has some problems

○

Aiden McCall 7 years, 9 months ago

Gave some feedback: Needs to be tested

○

Chris Graham 7 years, 9 months ago

Gave some feedback: Has some problems

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Chris Graham commented 7 years, 9 months ago

In the equations for volume, the word volume itself should be in roman.

The first part of the prompt to part (e) doesn't make sense, and the second part needs a comma after "Using the below equation".

Some additional punctuation of equations is required in the advice. And where you have in small, italic, "Rounding your answer to 1 decimal place", there is no need for this to be either small or italic in the advice. Grammatically, you've also gone from first person (plural) to second person.

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Aiden McCall 7 years, 9 months ago

Gave some feedback: Needs to be tested

○

Aiden McCall 7 years, 9 months ago

Gave some feedback: Has some problems

○

Aiden McCall 7 years, 9 months ago

Gave some feedback: Needs to be tested

○

Aiden McCall 7 years, 9 months ago

Gave some feedback: Has some problems

○

Aiden McCall 7 years, 9 months ago

Gave some feedback: Needs to be tested

○

Aiden McCall 7 years, 9 months ago

Created this as a copy of Substitution without Geometry.

Name	Status	Author	Last Modified
Substitute values into formulas	Ready to use	Aiden McCall	20/11/2019 14:43
Marte's copy of Substitute values into formulas	draft	Marte Bråtalien	12/04/2018 11:00
Ida's copy of Substitute values into formulas	draft	Ida Landgärds	13/04/2018 09:16
Maria's copy of Substitute values into formulas	draft	Maria Aneiros	30/05/2019 03:12

There are 8 other versions that do you not have access to.

Question statement

Substitute the given values in the equations below.

Give any introductory information the student needs.

			Name	Type	Generated Value

name	list	List of 6 items
name2	list	List of 6 items
pronoun	string	She

			Name	Type	Generated Value

			T_F	number	60.8
			T_C	integer	16

			Name	Type	Generated Value

r	number	42.8
x1	integer	4
n	integer	1
x2	integer	2
const	integer	39
sales	number	0

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
["Andrew","Susan","Tom","Geraldine","Joshua","Chantel"]

JME function reference

Description

List of names to randomise. Can change to any name inserted

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`

[ "Andrew", "Susan", "Tom", "Geraldine", "Joshua", "Chantel" ]

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add
Part c) Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

A curve is defined by a function $y=\simplify{{x2}x^2 + {x1}x + {const}}$ .

What is the $y$ coordinate value of the point on the curve at $x=\var{n+2}$ ?

$y =$ Unnamed gap

Advice

When inserting numbers into your calculator make sure you place brackets correctly.

a)

As $x = \var{n+2}$,

substitute $\var{n+2}$ into $\var{x2}x^2 + \var{x1}x + \var{const}$.

\begin{align}
\var{x2}x^2 + \var{x1}x + \var{const} &= \var{x2} (\var{n+2})^2 + \var{x1}(\var{n+2}) + \var{const} \\
&= \simplify{{x2} ({n+2})^2 + {x1}({n+2}) + {const}}\,.
\end{align}

As $y = \var{n}$,

substitute $\var{n}$ into $\var{n+1}y^2-\var{x2}y$.

\begin{align}
\var{n+1}y^2-\var{x2}y &= \var{n+1}(\var{n})^2-\var{x2}(\var{n}) \\
&= \simplify{{n+1}({n})^2-{x2}({n})}\,.
\end{align}

As we are given a temperature in degrees Celcius, $T_C = \var{T_C}°C.$

Substituting $T_C$ into $T_C = 1.8\,T_C + 32$.

\begin{align}
T_F &=1.8\, T_C+32 \\
&=1.8 (\var{T_C}) + 32 \\
&= \var{dpformat(1.8 {T_C} +32, 1)}\,°F\,.
\end{align}

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

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

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Checkpoint description

Christian Lawson-Perfect 7 years, 5 months ago

J. Richard Snape commented 7 years, 5 months ago

Elliott Fletcher 7 years, 8 months ago

Christian Lawson-Perfect 7 years, 8 months ago

Christian Lawson-Perfect 7 years, 8 months ago

Aiden McCall 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Lauren Richards 7 years, 9 months ago

Lauren Richards commented 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Lauren Richards 7 years, 9 months ago

Lauren Richards commented 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Chris Graham 7 years, 9 months ago

Chris Graham commented 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Aiden McCall 7 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

a)

Generated value: `list`