Loading...

There was an error loading the page.


Try to answer the following questions here:

  • What is this question used for?
  • What does this question assess?
  • What does the student have to do?
  • How is the question randomised?
  • Are there any implementation details that editors should be aware of?

Metadata

Taxonomy:

Feedback

From users who are members of Transition to university :

From users who are not members of Transition to university :

History

Comment

Checkpoint description

Describe what's changed since the last checkpoint.

Heather Short 3 years, 10 months ago

Gave some feedback: Ready to use

Elliott Fletcher 7 years, 4 months ago

Published this.
Picture of Christian Lawson-Perfect

Christian Lawson-Perfect 7 years, 4 months ago

Gave some feedback: Ready to use

Picture of Christian Lawson-Perfect

Christian Lawson-Perfect 7 years, 4 months ago

Saved a checkpoint:

I'm not sure why part b had two equations in it. I've split it into two parts.

A couple of uses of "question" instead of "equation" in the advice.

The quadratic formula was missing $x=$ a few times in the advice!

Otherwise, this is good.

Restore this checkpoint

Hannah Aldous 7 years, 4 months ago

Gave some feedback: Needs to be tested

Picture of Chris Graham

Chris Graham commented 7 years, 4 months ago

Nearly there!

In the steps you'll need to give the form of the quadratic equation associated with the solution, to assist the student in identifying $a$, $b$ and $c$.

Picture of Chris Graham

Chris Graham 7 years, 4 months ago

Gave some feedback: Has some problems

Hannah Aldous 7 years, 4 months ago

Gave some feedback: Needs to be tested

Picture of Chris Graham

Chris Graham commented 7 years, 4 months ago

I have changed the wording of the statement slightly and also removed "require trailing zeros" in part (a), which was too harsh.

I've removed (i) from part (a) as there is only one sub-part.

Otherwise looks good. However, if this is the first time we meet the quadratic formula (I'm guessing from the way the statement is worded) then I would like to have it available to the student, perhaps as a step to part (a)?

Picture of Chris Graham

Chris Graham 7 years, 4 months ago

Gave some feedback: Has some problems

Hannah Aldous 7 years, 4 months ago

Gave some feedback: Needs to be tested

Vicky Hall 7 years, 4 months ago

Gave some feedback: Has some problems

Vicky Hall commented 7 years, 4 months ago

I would give the quadractic formula in the statement and have $x=$ in front of it. I would amend the statement so that it says it can also be useful to use the formula if equations are difficult to factorise (perhaps if coefficients are large), as the equations in part a) and part b)i) could both be solved by factorising instead but using the formula is (probably) quicker. 

The expected answers in part a) are the numbers that would appear in the factorised equation and not the roots so you need to negate the answers and then swap their gaps around.

Hannah Aldous 7 years, 4 months ago

Gave some feedback: Needs to be tested

Picture of Christian Lawson-Perfect

Christian Lawson-Perfect 7 years, 4 months ago

Gave some feedback: Has some problems

Picture of Christian Lawson-Perfect

Christian Lawson-Perfect commented 7 years, 4 months ago

The non-zero right-hand sides in part a are gotchas: I'd like to have a nice part first, where the right-hand side is zero.

Could you make the coefficients in part b work so that you get integers out? You want to see if the student can work out how to deal with getting an algebraic answer, and rounding errors would be a distraction.

In part b it looks like the roots are the wrong way round - the lowest root is second.

You could split this into two questions: "use the quadratic formula to solve an equation with non-zero RHS", and "use the quadratic formula to solve an equation in terms of another variable".

Hannah Aldous 7 years, 5 months ago

Gave some feedback: Needs to be tested

Lauren Richards commented 7 years, 5 months ago

  • Your i) and ii) need to be not bold and in italics in the parts. 
  • The quadratic formula equation in the start of the advice is slightly incorrect - it should be 2a on the denominator, not 2. 
  • Something is not quite right for a)ii) in the advice as it is written as it would be when writing it and also midway through the advice for part b). 

Lauren Richards 7 years, 5 months ago

Gave some feedback: Has some problems

Hannah Aldous 7 years, 5 months ago

Gave some feedback: Needs to be tested

Hannah Aldous 7 years, 5 months ago

Created this.
Name Status Author Last Modified
Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$ Ready to use Hannah Aldous 07/01/2021 14:29
Use the quadratic formula to solve an equation in terms of an unknown variable Ready to use Hannah Aldous 20/11/2019 14:44
Katherine's copy of Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$ draft Katherine Tomlinson 02/08/2017 12:45
Emma's copy of Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$ draft Emma Cliffe 31/08/2017 12:59
Peter's copy of Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$ draft Peter Knowles 12/09/2017 12:39
Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$ [L4 Randomised] Needs to be tested Matthew James Sykes 25/07/2018 11:06
Simon's copy of Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$ draft Simon Thomas 07/03/2019 09:55
Simon's copy of Use the quadratic formula to solve an equation in terms of an unknown variable draft Simon Thomas 07/03/2019 10:00
Use the quadratic formula to solve an equation in terms of an unknown variable draft Xiaodan Leng 11/07/2019 01:50
Solve Equations of the Form $ax^2 +bx+c=0$ draft Thomas Waters 11/09/2019 22:18
Ugur's copy of Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$ Ready to use Ugur Efem 08/11/2021 16:44
Ugur's copy of Ugur's copy of Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$ Ready to use Ugur Efem 28/04/2022 11:08

There are 58 other versions that do you not have access to.

Give any introductory information the student needs.

Name Type Generated Value

Error in variable testing condition

There's an error in the variable testing condition. Variable values can't be generated until it's fixed.

Error:

for seconds

Running for ...

No variables have been defined in this question.

This variable was automatically created because there's a reference to it somewhere in this question.

Error

Warning

  • When applying the function,
    Suggestions
    • Change the signature of parameter from to .

This variable is an interactive HTML node. Interactive HTML nodes can not be relied upon to work correctly when resuming a session - for example, attached event callbacks will be lost, and mathematical notation will likely also break.

If this causes problems, try to create HTML nodes where you use them in content areas, instead of storing them in variables.

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

Generated value:

:
← Depends on:
→ Used by:

This variable doesn't seem to be used anywhere.

Help with explore mode

(sum of objective limits)

Objectives

Name Limit

Penalties

Name Limit

No parts have been defined in this question.

Select a part to edit.

This gap is not used in the parent part's prompt.

The student will not be able to enter an answer to this gap.

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

The correct answer is an equation. Use the accuracy tab to generate variable values satisfying this equation so it can be marked accurately.


Advanced settings


Checking accuracy

Define the range of points over which the student's answer will be compared with the correct answer, and the method used to compare them.

Variable value generators

Give expressions which produce values for each of the variables in the expected answer. Leave blank to pick a random value from the range defined above, following the inferred type of the variable.

(this might be a )

Pattern restriction


Variables


String restrictions

(no maximum)

Advanced settings


(The midpoint of the minimum and maximum accepted values)


Advanced settings



Advanced settings


(not displayed in columns)
(no maximum)

Advanced settings


(not displayed in columns)
(no maximum)

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

For each choice, write 1 if the student should tick it, or 0 if they should leave it unticked.

You must set a maximum number of marks in order to use this marking method.

(no maximum)

Advanced settings


(no maximum)

You must set a maximum number of marks in order to use this marking method.

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

For each combination of answer and choice, write 1 if the student should tick it, or 0 if they should leave it unticked.

Both choices and answers must be defined for this part.

Advanced settings


(Same as correct answer)
(Same as correct answer)
(No limit)
(No limit)
(No limit)
(No limit)



Help with this part type



Base marking algorithm

                
Custom marking algorithm

Test that the marking algorithm works

Check that the marking algorithm works with different sets of variables and student answers using the interface below.

Create unit tests to save expected results and to document how the algorithm should work.

There's an error which means the marking algorithm can't run:


            
Your answer is being marked.

This is an extension type part. There is no expected answer, and it's assumed that the marking depends on interactions within the part's prompt.

You can test this part's marking algorithm by interacting with the rendering of the part's prompt below.

Your answer is being marked.
Gap Expected answer Student's answer
Feedback

Score:

Question variables

These variables are available within the marking algorithm.

Name Value

Marking parameters

These values are available as extra variables in the marking algorithm.

Name Value

Part settings

These values are available as entries in the settings variable.

Name Value

This feedback is based on your last submitted answer. Submit your changed answer to get updated feedback.

Warnings:

Alternative used:

These are the notes produced by this part's marking algorithm.

Note Value Feedback

Click on a note's name to show or hide it.


Unit tests

No unit tests have been defined. Enter an answer above, select one or more notes, and click the "Create a unit test" button.

The following tests check that the question is behaving as desired.

This test has not been run yet This test produces the expected output This test does not produce the expected output

This test is not currently producing the expected result. Fix the marking algorithm to produce the expected results detailed below or, if this test is out of date, update the test to accept the current values.

One or more notes in this test are no longer defined. If these notes are no longer needed, you should delete this test.

Name Value

Note Value Feedback
This note produces the expected output Current:
Messages

No feedback messages.

Warnings

No warnings.

Expected:
Messages

A difference in feedback messages does not cause this test to fail.

No feedback messages.

Warnings

A difference in warnings does not cause this test to fail.

No warnings.

This test has not yet been run.

When you need to change the way this part works beyond the available options, you can write JavaScript code to be executed at the times described below.

Run this script the built-in script.

This script runs after the built-in script.

To account for errors made by the student in earlier calculations, replace question variables with answers to earlier parts.

In order to create a variable replacement, you must define at least one variable and one other part.

Variable Answer to use Must be answered?

The variable replacements you've chosen will cause the following variables to be regenerated each time the student submits an answer to this part:

These variables have some random elements, which means they're not guaranteed to have the same value each time the student submits an answer. You should define new variables to store the random elements, so that they remain the same each time this part is marked.

More information about this problem

This part can't be reached by the student.

Add a "next part" reference to this part from another part.

None of the parts which can lead to this part are reachable either.

Next part options

Define the list of parts that the student can visit after this one.

  • Variable replacements

    No variable replacements have been defined for this next part option.
    Variable Value

Previous parts

This part can follow on from:

This part doesn't follow on from any others.

to

Choose a type for this new .

by
More information

Give a worked solution to the whole question.

Select extensions to use in this question.

  • There was an error loading this extension.

Define rulesets for simplification and display of mathematical expressions.

Functions

Define functions to use in JME expressions.

Select a function to edit.

No functions have been defined in this question.

Name Type
of
Output type

Built-in constants

Tick the built-in constants you wish to include in this question.

Custom constants

You can define constants in terms of the built-in constants, even if they're disabled.
Names Value LaTeX

Add styling to the question's display and write a script to run when the question is created.

This script will run after the question's variable have been generated but before the HTML is attached.
Apply styling rules to the question's content.

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

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


    
Part Test Passed?
Hasn't run yet Running Passed Failed
  • :

This question is used in the following exams: