Ann's copy of Integration

Error

There was an error loading the page.

Contributors

History

○

Ann Smith 6 years ago

Created this as a copy of Integration.

Name	Status	Author	Last Modified
Introduction to Integration	Ready to use	Deirdre Casey	11/02/2017 16:03
Introduction to Integration	draft	Violeta CIT	06/03/2017 14:57
cormac's copy of Introduction to Integration	draft	cormac breen	23/02/2017 18:22
Andrew's copy of cormac's copy of Introduction to Integration	draft	Andrew Dunbar	02/03/2017 02:24
Tien Chern's copy of Introduction to Integration	draft	Tien Chern Chia	11/07/2017 09:47
Tien Chern's copy of Introduction to Integration	draft	Tien Chern Chia	11/07/2017 09:53
Integration	draft	Julie Crowley	12/03/2019 15:39
Nick's copy of Introduction to Integration	draft	Nick Walker	22/06/2018 07:08
Nick's copy of Introduction to Integration	draft	Nick Walker	22/06/2018 07:11
Nick's copy of Introduction to Integration	draft	Nick Walker	22/06/2018 07:12
Johnny's copy of Integration	draft	Johnny Yi	01/11/2018 01:25
Ann's copy of Integration	draft	Ann Smith	04/04/2019 14:00
Maria's copy of Introduction to Integration	draft	Maria Aneiros	23/05/2019 02:27

There are 18 other versions that do you not have access to.

Question groups

Group 25 questions

1.
draft

Antiderivatives rebel rebelmaths
2.
draft

Definite Integrals rebel rebelmaths Rebelmaths
3.
draft

Indefinite Integrals rebel rebelmaths
4.
draft

Definite Intgerals rebel rebelmaths Rebelmaths
5.
draft

Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$ , $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$ , $\int_0^{r}x ^ {2}e^{t x}\;dx$ rebelmaths
6.
draft

5 indefinite integrals containing exponential functions rebelmaths
7.
draft

indefinite integration Find $\displaystyle \int ax ^ m+ bx^{c/n}\;dx$ . rebel rebelmaths
8.
draft

Definite Integrals
9.
draft

Integration by substitution. Hint given on susbtitution rebelmaths
10.
draft

Integration by susbtitution, no hint given
11.
draft

Evaluate $\int_0^{\,m}e^{ax}\;dx$ , $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$ .
12.
draft

Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$
13.
draft

Find the polynomial $g(x)$ such that $\displaystyle \int \frac{ax+b}{(cx+d)^{n}} dx=\frac{g(x)}{(cx+d)^{n-1}}+C$ .
14.
draft

Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q}\;dx$ .
15.
draft

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$
16.
draft

Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$
17.
draft

Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$
18.
draft

Find $\displaystyle \int \sin(x)(a+ b\cos(x))^{m}\;dx$
19.
draft

Integrating simple functions.
20.
draft

Integration using subsitution
21.
draft
22.
draft

Question is to calculate the area bounded by a cubic and the $x$ -axis. Requires finding the roots by solving a cubic equation. Calculator question
23.
Ready to use

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$ -axis. The second graph has some area above and some below the $x$ -axis.
24.
draft

Graphs are given with areas underneath them shaded. The area of the shaded regions are given. From this, the value of various integrals are to be deduced.
25.
draft

Graphs are given with areas underneath them shaded. The student is asked to select the correct integral which calculates its area.

Topics

No topics have been defined.

Diagnostic algorithm

Extend built-in algorithm?

Base diagnostic algorithm

state (Produces the initial value of the state object): // should be renamed "initial_state"
    [
        "topics": map(
            [
                "topic": topic,
                "status": "unknown" // "unknown", "passed", or "failed"
            ],
            topic,
            values(topics)
        ),
        "retries": 3,
        "finished": false,
    ]

topics_by_objective (A dictionary mapping a learning objective name to a list of indices of topics):
    dict(map(
        let(
            ltopics, values(topics),
            indices, filter(lo["name"] in ltopics[j]["learning_objectives"], j, 0..len(ltopics)-1),
            [lo["name"],indices]
        ),
        lo,
        learning_objectives
    ))

unknown_topics (Which topics are still unknown?): 
    map(x["topic"],x,filter(x["status"]="unknown",x,state["topics"]))

first_topic (The first topic to pick a question on):
    unknown_topics[floor(len(unknown_topics)/2)]["name"]

first_question (The first question to show the student):
    random(topics[first_topic]["questions"])

get_dependents (An expression which gets the topics to update after answering a question):
    expression("""
        [target] + flatten(map(eval(get_dependents,["target":t,"correct":correct]),t,topics[target][if(correct,"depends_on","leads_to")]))
    """)

correct (Did the student get the current question right?):
    current_question["credit"]=1

after_answering (Update the state after the student answers a question):
    let(
        ntopics, eval(get_dependents,["target":current_topic,"correct":correct])
    ,   nstate, state + ['topics': map(
                    if(tstate["topic"]["name"] in ntopics, tstate + ["status":if(correct,"passed","failed")], tstate),
                    tstate,
                    state["topics"]
                )]
    , nstate
    )

action_retry (Use up one retry and visit the same topic again):
    [
        "label": translate("diagnostic.use retry"),
        "state": state + ["retries": state["retries"]-1],
        "next_question": random(topics[current_topic]["questions"])
    ]

action_stop (Stop the exam):
    [
        "label": translate("diagnostic.end test"),
        "state": state,
        "next_question": nothing
    ]

action_move_on (Move to the next topic, or end the exam if there are no more):
    let(
        state, after_answering,
        immediate_next_topics, topics[current_topic][if(correct, "leads_to", "depends_on")],
        unknown_topics, map(x["topic"],x,filter(x["status"]="unknown",x,state["topics"])),
        unknown_immediate_topics, filter(x["name"] in immediate_next_topics,x,unknown_topics),
        next_topics, if(len(unknown_immediate_topics), unknown_immediate_topics, unknown_topics),
        finished, len(next_topics)=0 or state["finished"],
        topic,
            if(not finished,
                next_topics[floor(len(next_topics)/2)]["name"]
            ,
                nothing
            ),
        [
            "label": translate("diagnostic.move to next topic"),
            "state": after_answering,
            "next_question": if(not finished, random(topics[topic]["questions"]), nothing)
        ]
    )

can_move_on:
    action_move_on["next_question"]<>nothing

next_actions (Actions to offer to the student when they ask to move on):
    let(
        feedback, retries_feedback+"\n\n"+translate("diagnostic.next step question")
    ,   [
            "feedback": feedback,
            "actions": if(not correct and state["retries"]>0, [action_retry], []) + if(can_move_on,[action_move_on],[action_stop])
        ]
    )

after_exam_ended (Update the state after the exam ends):
    let(
        state, after_answering,
        ntopics, map(t+["status": if(t["status"]="unknown","failed",t["status"])],t,state["topics"]),
        state+["finished": true]
    )

finished (Is the test finished? True if there are no unknown topics):
    len(unknown_topics)=0 or state["finished"]

total_progress:
    let(
        num_topics, len(state["topics"]),
        known, filter(tstate["status"]<>"unknown",tstate,state["topics"]),
        passed, filter(tstate["status"]="passed",tstate,known),
        num_known, len(known),
        num_passed, len(passed),
        [
            "name": translate("control.total"),
            "progress": if(num_topics>0,num_known/num_topics,0), 
            "credit": if(num_known>0,num_passed/num_topics,0)
        ]
    )

learning_objective_progress:
    map(
        let(
            tstates, map(state["topics"][j],j,topics_by_objective[lo["name"]]),
            known, filter(tstate["status"]<>"unknown",tstate,tstates),
            passed, filter(tstate["status"]="passed",tstate,known),
            num_topics, len(tstates),
            num_known, len(known),
            num_passed, len(passed),
            ["name": lo["name"], "progress": if(num_topics>0,num_known/num_topics,0), "credit": if(finished,num_passed/num_topics,if(num_known>0,num_passed/num_known,0))]
        ),
        lo,
        learning_objectives
    )

progress (Progress on each of the learning objectives, plus total progress):
    learning_objective_progress+
    total_progress

retries_feedback:
    translate("diagnostic.now assessing topic", ["current_topic": current_topic]) + " " +
    let(
        retries, state["retries"], 
        pluralise(retries, translate("diagnostic.one retry left"), translate("diagnostic.retries left", ["retries": retries ]))
    )
    + " " +
    let(
        p,total_progress["progress"],
        percentage, dpformat(100p, 0),
        translate("diagnostic.percentage completed", ["percentage": percentage])
    )

weak_objective_threshold (The amount of credit below which a learning objective is considered weak):
    0.6

finished_feedback:
    let(
        weak_objectives, filter(p["credit"]<weak_objective_threshold, p, learning_objective_progress),
    //
        translate("diagnostic.test is over") + " "
        +
        if(len(weak_objectives)=0,
            translate("diagnostic.passed all lo")
        ,
            translate("diagnostic.more work on lo", ["los": 
                join(map(lo["name"], lo, weak_objectives),", ")])
        )
    )

feedback:
    if(finished,
        finished_feedback,
        retries_feedback
    )

Custom diagnostic algorithm

Interface theme

Upload a new theme

Interface language

Allow students to print question content?

Show student's name?

Enter review mode immediately on ending the exam?

	Always	In submitted mode	Only in review mode	Never
Show answer correctness
Show the student's score
Show the maximum score
Show part feedback messages
Show expected answers
Show question advice

Pass threshold

Feedback messages

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Ann Smith 6 years ago

Question groups

Topics

Learning objectives

Base diagnostic algorithm

Custom diagnostic algorithm

On leaving a question

On timeout

5 minutes before timeout