Chance & Data

Question 0

Probability

Answer 0

Measures chance of an event or outcome is likely to occur.
Teach:
Experimental- roll dice
Theoretical-
event probability= # individual outcomes / total# possible.

Question 1

Statistical Literacy

Answer 1

Ability to interpret and evaluate information.

Teaching: reading, interpreting, critically analysing information to deconstruct meanings.make it real!

Question 2

Data

Answer 2

Visual representations & statistics.

Issue: students cannot transfer graph interpretations to everyday.

Question 3

Graphing

Mean, Median & Mode

Answer 3

Mean-average, add scores and divide by the # of items.
Median-middle value, median strip.
Mode-most frequent

Question 4

Chance Teaching.

Answer 4

Prior knowledge.
Identify attribute- everyday terms & predict possible outcomes and how sure they are. Roll a 6.
Compare & Order- likelihood of outcomes.
Scale, picture sort, toss coin, colour balls out bags, record exp.
Measurement- fractions, ratios for formal.

Question 5

Graph Teaching

Answer 5

Read & interpret other graphs.
Talk about reasons for labelling axis.
Simple picture graphs of what they know (no labels), remove concrete and bring the need for labels.
Replace pictures with squares so no visual cues.
Transfer to grid paper, colour, 1-1 representations. Both horizontal and vertical.
Construct column, remove grids and introduce scales.

Question 6

Column Graph

Answer 6

Different graphs for different reasons.
IMPORTANT to recognise need to touch or not.
Continuous = histographs
Discrete = bar graphs.

Comparative bar graph used to compare data. Either end to end or side by side.

Question 7

Grouped Frequency Histographs

Answer 7

Continuous data grouped into clusters for categories.

Eg. Ages in months 85-95 96-102 etc.

Question 8

Circle Graphs

Answer 8

Knowledge of fractions, percentages, angles, circles and operations required…
Informal intro- turn column graph into circle. Beads on string to represent data.
Formal- angles & #s that divide into 360. Then see connection between the fraction and degrees.

Question 9

Stem and Leaf Plots

Answer 9

More details then a histographs.
2sided representation good to compare 2 sets of data.
Ten units can be the stem and ones the leaf, smallest closest to the stem.

Question 10

Graphs- Discrete

Answer 10

Data falls into one category (gender, type of car).

Represent in bar graph where columns don’t touch.

Question 11

Graphs- Continuous

Answer 11

Information that exists along a continuum- length, time, temperature.
Represented in a histogram that columns touch.

Question 12

Math Language Issues

Answer 12

Some words are unique (tessellation) but most need to be put into context or confusing (side, 3D).
Ambiguity in terms -Ruler (not kings).
Homonyms- shift between life & maths (volume).
Homophones- four-for, whole-hole.
Polysemy- one word, two meanings (base).

Question 13

Word Problems - Code Breaking

Three types of problems…

Answer 13

CHANGE- alters quantity value (4apples,eat2?)
COMBINE- 2amounts separate entities (gem2, Neet 4= together?)
COMPARE= two totals find the difference?

Question 14

Word Problems- 5 steps/ skills to solve.

Answer 14

1. Read question
2. Comprehend what’s asked.
3. Identify mathematical task.
4. Skills to perform operation.
5. Represent answer in meaningful construct.