Grade 9 Statistics and Probability Resource

Grade 9 Statistics and Probability Resource

The intent of this document is to arrange all of the materials pertaining to the Statistics and Probability outcomes from the Saskatchewan Grade 9 Math curriculum into a logical teaching sequence. This is a compilation of resources created and posted on OneStop over many years by a multitude of teachers and contributors. In many cases these resources were not sourced. Thank you to the many individuals who contributed anonymously.

1 November 2015 GSCS

Grade 9 Statistics and Probability Resource Table of Contents

Table of Contents.......................................................................................................................................... 2 Teaching Components .................................................................................................................................. 4 Assessment ................................................................................................................................................... 4

Outcome: SP9.1: Demonstrate understanding of the effect of bias, use of language, ethics, cost, time and timing, privacy, cultural sensitivity and population or sample on data collection................ 4 Outcome: SP9.2: Demonstrate an understanding of the collection, display, and analysis of data through a project. ................................................................................................................................. 4 Outcome: SP9.3: Demonstrate an understanding of the role of probability in society. ...................... 4 Outcome: SP9.4: Research and present how First Nations and M?tis peoples, past and present, envision, represent, and make use of probability and statistics. ......................................................... 4 Day by Day Sample Plan................................................................................................................................ 5 Outcome Intro: The Monty Hall Problem ..................................................................................................... 6 Let's Make a Deal!..................................................................................................................................... 7 Games of Chance PowerPoint Presentation................................................................................................. 8 First Nations Traditional Games Presentation Topics............................................................................. 10 Indigenous Games Presentation Rubric.................................................................................................. 11 Math Makes Sense Textbook Notes ........................................................................................................... 12 Unit 9 ? Probability and Statistics ........................................................................................................... 12 Unit 9 ? Probability and Statistics ............................................................................................................... 13 Unit Objectives:....................................................................................................................................... 13 9.1 Probability and Society ..................................................................................................................... 13 Investigate p. 424.................................................................................................................................... 13 Game: Cube Master p. 430 ..................................................................................................................... 16 9.2 Potential Problems with Collecting Data .......................................................................................... 17 9.3 Using Samples and Populations to Collect Data ............................................................................... 19 9.4 Selecting a Sample ............................................................................................................................ 20

2 November 2015 GSCS

Grade 9 Statistics and Probability Resource

Types of Sampling: .................................................................................................................................. 21 9.5 Designing a Project Plan.................................................................................................................... 22 Statistics and Probability Assessment (Outcomes SP9.1 and SP9.3) .......................................................... 23 Supplementary Question Bank for SP9.1-SP9.3...................................................................................... 26 Gallery Walk: Researching First Nations Use of Statistics and Probability in the Present.......................... 37 Day 1 Lesson Plan ? Gallery Walk ........................................................................................................... 37 Gallery Walk: Oskayak High Schoo.......................................................................................................... 55 Day 2 Lesson Plan - Discussion................................................................................................................ 65 Gallery Walk - Individual Reflection........................................................................................................ 66 Day 3 Lesson Plan - Re-presentation of Data Assignment ...................................................................... 68 Instructions for Re-presentation of Data Assignment ................................................................................ 69 Rubric for Re-presentation of Data Assignment ......................................................................................... 70 Sample Assignment #1 and Teacher Assessment ....................................................................................... 71 Sample Assignment #2 and Teacher Assessment ....................................................................................... 72 Sample Assignment #3 and Teacher Assessment ....................................................................................... 73 Data Collection Project ............................................................................................................................... 77 Pre-work: Survey Question Proposal Scale ? Factors that May Influence Data ..................................... 77 Data Collection Project (Outcome SP9.2) ............................................................................................... 79 Census at School ......................................................................................................................................... 81 Teacher Set-up ........................................................................................................................................ 81 Census at School Assignment ................................................................................................................. 82 Using Technology to Display Data............................................................................................................... 83

3 November 2015 GSCS

Grade 9 Statistics and Probability Resource

Math Makes Sense Resource Teaching Components

1. Textbook Sections 9.1-9.4 (SP9.1, SP9.2 and SP9.3) 2. Games of chance presentation and project ("past" SP9.4) (Group Presentation) 3. Data Collection Project (SP9.2) (Individual project) 4. Gallery Walk (SP9.4) (Group activity and discussions) Re-presentation of data

assignment(Individual assignment)

Assessment

Outcome

Formative Assessment

Summative Assessment

Outcome: SP9.1: Demonstrate understanding of the effect of bias, use of language, ethics, cost, time and timing, privacy, cultural sensitivity and population or sample on data collection.

Assignments from textbook sections 9.1-9.4

Survey Question Proposal Scale

Statistics and Probability Assessment (Outcomes SP9.1 and SP9.3)

Data Collection Project

Outcome: SP9.2: Demonstrate an understanding of the collection, display, and analysis of data through a project.

Survey Question Proposal Scale

Display Census at School data using Excel

Data Collection Project

Outcome: SP9.3: Demonstrate an understanding of the role of probability in society.

Assignments from textbook sections 9.1-9.4

Observation during Gallery Walk

Class discussion after Gallery Walk

Statistics and Probability Assessment (Outcomes SP9.1 and SP9.3)

Data Collection Project

Games of Chance Presentation

Student Reflection of Gallery Walk

Re-presentation of data assignment

Outcome: SP9.4: Research and present how First Nations and M?tis peoples, past and present, envision, represent, and make use of probability and statistics.

Observation during Gallery Walk

Class discussion after Gallery Walk Student Reflection of Gallery Walk

Games of Chance Presentation

Re-Presentation of Data Assignment

4 November 2015 GSCS

Grade 9 Statistics and Probability Resource Day by Day Sample Plan

1. Outcome Introduction: The Monty Hall Problem 2. Games of chance presentation/ research day (computer lab if possible) 3. Textbook section 9.1 4. Textbook section 9.2 5. Games of Chance presentations 6. Textbook section 9.3 7. Textbook section 9.4 8. Textbook Chapter 9 Test (Statistics and Probability Assessment) 9. Gallery Walk Day 1 10. Gallery Walk Day 2 11. Re-Presentation of data criteria/work time 12. Data collection project plan (section 9.5 from textbook) Explain rubrics/requirements

etc. 13. Project plan feedback/Working with Excel to display data 14. Re-presentation of data assignment due/Class time to work on Data Collection Project

i. Data collection project to be handed in at a later date.

5 November 2015 GSCS

Grade 9 Statistics and Probability Resource Outcome Intro: The Monty Hall Problem

? Background: Monty Hall was the host of the game show Let's Make a Deal. His classic problem involved a contestant choosing a mystery prize behind one of three doors. When the contestant picked the door, Monty would open up one of the remaining doors and then ask the contestant if they wanted to switch. The question: Is there a mathematical reason to either switch or stay with the original pick.

? Video outlining the problem: (Just play up to the point where he describes the problem.)

? Next steps: o Ask them to predict what should happen. o Determine experimental probability Have students do this in partners with cards (2 black, 1 red). One partner plays the role of the contestant, one of the host (who knows which card is the red card). Keep track of whether the contestant switches or stays and what the outcome is (got the red card, didn't get the red card). Use the Let's Make a Deal Handout to keep track. o Combine trials from each group and share this information as a class. Is there an experimental probability?

? Play the remainder of the clip to above to show the answer.

6 November 2015 GSCS

Grade 9 Statistics and Probability Resource

Let's Make a Deal!

Trial Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

TOTALS

Choice (Switch/Stay)

Result (Correct/Incorrect)

Switched

Times Correct Times Incorrect

Percentage of Success

Stayed

Times Correct Times Incorrect

Percentage of Success

7 November 2015 GSCS

Grade 9 Statistics and Probability Resource Games of Chance PowerPoint Presentation

Go to the SP9.4 Games of Chance Powerpoint Presentation on OneStop. Use teacher notes on bottom of slides to teach students about First Nations games of chance from the past.

8 November 2015 GSCS

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