6.2 Q1 Which is the correct simplification? (4)

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From users who are members of MESH :

Adelle Colbourn

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Needs to be tested

1 year, 2 months ago

From users who are not members of MESH :

George Papadopoulos (MESH)

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Ready to use

1 year, 2 months ago

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Don Shearman 2 weeks, 1 day ago

Published this.

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Adelle Colbourn commented 1 year, 2 months ago

I deleted the trig identity formula sheet sentence. I've retained "Use appropriate identities and algebraic techniques" as I want to emphasise that both may be required.

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George Papadopoulos (MESH) 1 year, 2 months ago

Gave some feedback: Ready to use

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George Papadopoulos (MESH) commented 1 year, 2 months ago

Looks good, Adelle. I made some minor edits.

But I think the question is a bit too verbose. I think that writing "Simplify <expression>." is sufficient. The following information:

"Use appropriate identities and algebraic techniques"

"Then select the correct answer from the options below."

"You may wish to have the trig identity formula sheet available for reference as you attempt this question."

should be obvious. If they are not, then there are issues, in academic English, literacy, and reading comprehension, all of which I feel are outside the scope of Maths Start. I do believe that we should be training/preparing students for realistic maths questions, i.e., the way they will see them in exams in tertiary education.

As such, I would be inclined to remove these instructions. Students should know how to answer exam questions, and/or search for appropriate information.

Of course, if you feel that these tips should be kept in, then that's fine, also. I'll leave it up to you to decide.

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Adelle Colbourn 1 year, 2 months ago

Gave some feedback: Needs to be tested

○

Adelle Colbourn 1 year, 2 months ago

Created this.

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Question statement

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			Name	Type	Generated Value

scenarios	list	List of 4 items
scenario	dict	Dictionary with 6 entries
question	string	$\cos(\alpha) +\cos(\alpha)\ta
answer	string	$\sec(\alpha)$
d1	string	$\sin(\alpha)$
d2	string	$\cos(\alpha)$
d3	string	$\csc(\alpha)$
advice	number	1
adv1	string	\begin{align} \cos(\alpha) +
adv2	string	\begin{align}\displaystyle{
adv3	string	\begin{align}\displaystyle{
adv4	string	\begin{align} \displaystyle{
advicetext	string	\begin{align} \cos(\alpha) +

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Name

Data type

Value

xxxxxxxxxx
 
[
{
"qn":"$\\cos(\\alpha) +\\cos(\\alpha)\\tan^2(\\alpha)$",
"ans":"$\\sec(\\alpha)$",
"dis1":"$\\sin(\\alpha)$",
"dis2":"$\\cos(\\alpha)$",
"dis3":"$\\csc(\\alpha)$",
"adv":1
},
{
"qn":"$\\csc^2(\\beta)-\\cot^2(\\beta)$",
"ans":"$1$",
"dis1":"$2$",
"dis2":"$\\sec^2(\\beta)$",
"dis3":"$\\sin^2(\\beta)$",
"adv":2
},
{
"qn":"$\\displaystyle{\\frac{\\sec(\\theta)}{\\tan(\\theta)}}$",
"ans":"$\\csc(\\theta)$",
"dis1":"$\\sin(\\theta)$",
"dis2":"$\\cos(\\theta)$",
"dis3":"$\\tan(\\theta)$",
"adv":3
},
{
"qn":"$\\displaystyle{\\frac{\\sin^4x-\\cos^4x}{\\sin^2x-\\cos^2x}}$",
"ans":"$1$",
"dis1":"$\\sin^2x-\\cos^2x$",
"dis2":"$\\cos^2x-\\sin^2x$",
"dis3":"$\\tan^2x$",
"adv":4
}
]

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Generated value: `list`

[ [ "qn": safe("$\\cos(\\alpha) +\\cos(\\alpha)\\tan^2(\\alpha)$"), "ans": safe("$\\sec(\\alpha)$"), "dis1": safe("$\\sin(\\alpha)$"), "dis2": safe("$\\cos(\\alpha)$"), "dis3": safe("$\\csc(\\alpha)$"), "adv": 1 ], [ "qn": safe("$\\csc^2(\\beta)-\\cot^2(\\beta)$"), "ans": safe("$1$"), "dis1": safe("$2$"), "dis2": safe("$\\sec^2(\\beta)$"), "dis3": safe("$\\sin^2(\\beta)$"), "adv": 2 ], [ "qn": safe("$\\displaystyle{\\frac{\\sec(\\theta)}{\\tan(\\theta)}}$"), "ans": safe("$\\csc(\\theta)$"), "dis1": safe("$\\sin(\\theta)$"), "dis2": safe("$\\cos(\\theta)$"), "dis3": safe("$\\tan(\\theta)$"), "adv": 3 ], [ "qn": safe("$\\displaystyle{\\frac{\\sin^4x-\\cos^4x}{\\sin^2x-\\cos^2x}}$"), "ans": safe("$1$"), "dis1": safe("$\\sin^2x-\\cos^2x$"), "dis2": safe("$\\cos^2x-\\sin^2x$"), "dis3": safe("$\\tan^2x$"), "adv": 4 ] ]

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Use appropriate identities and algebraic techniques to simplify $\var{question}$ .

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6.2 Q1 Which is the correct simplification? (4)

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Taxonomy: mathcentre

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Don Shearman 2 weeks, 1 day ago

Adelle Colbourn commented 1 year, 2 months ago

George Papadopoulos (MESH) 1 year, 2 months ago

George Papadopoulos (MESH) commented 1 year, 2 months ago

Adelle Colbourn 1 year, 2 months ago

Adelle Colbourn 1 year, 2 months ago

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6.2 Q1 Which is the correct simplification? (4)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Don Shearman 2 weeks, 1 day ago

Adelle Colbourn commented 1 year, 2 months ago

George Papadopoulos (MESH) 1 year, 2 months ago

George Papadopoulos (MESH) commented 1 year, 2 months ago

Adelle Colbourn 1 year, 2 months ago

Adelle Colbourn 1 year, 2 months ago

Error in variable testing condition

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Generated value: list

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Generated value: `list`