Mathematics Stage 4 - Dice World
Outcomes Assessed
MA4-1WMcommunicates and connects mathematical ideas using appropriate terminology, diagrams and symbols
MA4-3WMrecognises and explains mathematical relationships using reasoning
MA4-19SPcollects, represents and interprets single sets of data, using appropriate statistical displays
Task 1Roll 2 dice 20 times each (or one dice 40 times) and record your results in the table below.
Roll / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10 / 11 / 12 / 13 / 14 / 15 / 16 / 17 / 18 / 19 / 20Dice A
Dice B
2 digit number
A + B
A B
Task 2Answer these questions on a separate piece of paper
1)Use just the results from DieA to construct a frequency histogram. (3 marks)
2)Make 20 two digit numbers using Die A numbers as the tens digit and Die B numbers as the units digit. Record these numbers in the space above. Construct an ordered stem-and-leaf plot using these two digit numbers. (3 marks)
3)Compare and contrast the shape of the frequency histogram in Q1 and the stem-and-leaf plot in Q2. Suggest a reason for any similarities/differences you may find. (3 marks)
4)Add the numbers for each column together, recording the results in the space above. Plot these 20 numbers in a dot plot. (2 marks)
5)Multiply the numbers for each column together, recording the results in the space above. Plot these 20 numbers in a dot plot.(2 marks)
6)Compare and contrast the dot plots in Q4and Q5. Suggest a reason for any similarities/differences you may find. (3 marks)
Hand your assignment in, including this page, BY THE DUE DATE. Get the slip on the bottom signed, tear it off, and keep it somewhere safe. It is proof you handed the assignment in.
Dice World Assignment
Name______Date handed in______
Received by______
Dice World Assessment Criteria
Question 1
/ MarksFrequency histogram has a title, and is to scale on the vertical and horizontal axis. / 2
Columns have been correctly plotted / 1
Question 2
/ MarksStem and leaf plot has a title / 1
Numbers have been correctly combined and plotted / 2
Question 3
/ MarksSimilarities and/or differences between the shapes of the distributions explained clearly. / 1
Logical reasons given. / 1
Full sentence(s) with correct grammar and punctuation used. / 1
Question 4
/ MarksDot plot has horizontal axis to scale, and a title / 1
Numbers are added correctly, and dot plot is plotted correctly / 1
Question 5
/ MarksDot plot has horizontal axis to scale, and a title / 1
Numbers are multiplied correctly, and dot plot is plotted correctly / 1
Question 6
/ MarksSimilarities and/or differences between the shapes of the dot plots explained clearly. / 1
Logical reasons given. / 1
Full sentence(s) with correct grammar and punctuation used. / 1