Subject: Math
Grade: Nine
Topic: Probability and Statistics
Stage 1 – Desired Results Established Goals: Students will use experimental or theoretical probabilities to represent and solve problems involving uncertainty. Students will also collect, display and analyze data to solve problems. Understandings: Essential Questions: Students will understand that… -What is theoretical probability? -probability plays an important role in -What is experimental probability? decision making. -What is subjective judgment? -data collection can be influenced be many -What affects data collection? different factors. -How do you choose between a population and a -data collection about a sample will produce sample? valid results about the population if the -How do you choose an appropriate sample? sample is representative of the population. Knowledge: Skills: Students will know that… Students will… -decisions may be based on theoretical or -explain how probability is used outside of the experimental probability, subjective judgment classroom. or a combo of these -describe how the collection of data may be -probabilities are based on assumptions. adversely affected. -probabilities can be used to support -select and defend the choice of using a opposing views. population or a sample. -data collection can be affected by; bias, -search a Canadian database for information, use of language, timing, privacy, cultural then make comparisons. sensitivity, ethics, cost and time -understand and choose an appropriate sample. -in a census, data are collected from each -display data on graphs using spreadsheets. member of the population. -develop a project plan. -when it is unreasonable to conduct a census, data is collected from a sample of the population. -when a sample is representative of the population, the data collected from the sample leads to valid conclusions. -online databases can be used to find statistical information. -spreadsheet software can be used to record and graph data. -there are many different ways to select a sample. -random samples are most likely to produce valid conclusions. Stage 2 – Assessment Evidence Performance Tasks: o Census at School o Surveys and Samples Project Other Evidence: Ongoing Observations Student work Intellectual Property of Abbi Easton
Lesson #1 Specific Learner Expectation: • Students will use experimental or theoretical probabilities to represent and solve problems involving uncertainty. Materials: • https://sites.google.com/fmpsd.ab.ca/prob-stats-9 • https://www.youtube.com/watch?v=zrMvig1AwYA • https://www.khanacademy.org/math/probability/probability-geometry/probabilitybasics/e/using-probability-to-make-predictions Activity: 1. Watch the YouTube video Experimental vs. Theoretical Probability 2. Complete the Using Probability to Make Predictions activity on Khan Academy Student Self-Assessment: • Khan Academy - Using Probability to Make Predictions
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Lesson #2 Specific Learner Expectation: • Students will describe the effect of; bias, use of language, timing, privacy, cultural sensitivity, ethics, cost and time. Materials: • https://sites.google.com/fmpsd.ab.ca/prob-stats-9 • Problems with Data Collection Google Slides deck • Problems with Data Collection graphic organizer • Potential Problems with Collecting Data Google Form Activity: 1. Go through the Data Collection Google Slides deck. Students may use the Problems with Data Collection graphic organizer to help organize their notes. 2. Complete the Potential Problems with Collecting Data Google Form Formative Assessment: • Potential Problems with Collecting Data Google Form
Intellectual Property of Abbi Easton
Lesson #3 Specific Learner Expectation: • Students will select and defend the choice of using either a population or a sample of a population to answer a question. Materials: • https://sites.google.com/fmpsd.ab.ca/prob-stats-9 • https://www.youtube.com/watch?v=eIZD1BFfw8E • https://www.khanacademy.org/math/ap-statistics/gathering-data-ap/samplingobservational-studies/e/identifying-population-sample Activity: 1. Watch the YouTube video Population vs. Sample 2. Complete the Identifying Population and Samples activity on Khan Academy Student Self-Assessment: • Khan Academy - Identifying Population and Samples
Intellectual Property of Abbi Easton
Lesson #4 Specific Learner Expectation: • Students will select and defend the choice of using either a population or a sample of a population to answer a question. • Students will demonstrate an understanding of the role of probability in society. Materials: • https://sites.google.com/fmpsd.ab.ca/prob-stats-9 • Census at School Performance- Based Assessment Google Slides Deck • Census at School Questions Google Form • http://censusatschool.ca/ • Census at School Exemplar • Student Census Graphing Google Sheets Template • Census at School Graphing Instructions Activity: 1. Students complete the Census at School Questions Google Form. 2. Students review the Census at School Exemplar. 3. Students open the Student Census Graphing Google Sheets Template and use the hyperlink to open and then follow the Census at School Graphing Instructions. 4. Students share the completed Student Census Graphing Google Sheet with the teacher. Performance Based Assessment: • Census at School Rubric
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Lesson #5 Specific Learner Expectation: • Students will select and defend the choice of using either a population or a sample of a population to answer a question Materials: • https://sites.google.com/fmpsd.ab.ca/prob-stats-9 • Sampling Methods Google Slides deck • Sampling Methods graphic organizer • Ihttps://quizlet.com/338775324/match Activity: 1. Go through Sampling Methods Google Slides deck. Students may use the Sampling Methods graphic organizer to help organize their notes. 2. Complete the Identifying Sampling Methods Quizlet matching activity Student Self-Assessment: • Quizlet – Identifying Sampling Methods matching activity
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Lesson #6 Specific Learner Expectation: • Students will develop and implement a project plan for the collection, display and analysis of data. Materials: • https://sites.google.com/fmpsd.ab.ca/prob-stats-9 • Designing a Survey- Based Assessment Google Slides Deck • Designing a Survey Exemplar (https://goo.gl/AUyqyE) • Designing a Survey Prep Google Form Google Form • https://www.youtube.com/watch?v=fXQDFhKFuTU • Google Forms and Google Sheets • https://drive.google.com/open?id=1tN-oMmf6u_1sJdX0GkBv3eHPsU4y9P3E Activity: 1. Students review the Designing a Survey Exemplar. 2. Students complete the Designing a Survey Prep Google Form and wait for teacher feedback before proceeding with designing their survey. 3. Students watch the How to use Google Forms to Create a Survey YouTube video. 4. Students use Google Forms to create their survey and then share it with their sample population as well as the teacher. 5. Students create their Form Responses and Graphs Google Sheet. 6. Students watch the Compile Your Results tutorial video. 7. Students compile the results of 2 questions from their survey and then create a bar and pie graph based on the results. 8. Students share the completed Form Responses and Graphs Google Sheet with the teacher. Formative Assessment: • Designing a Survey Prep Google Form Google Form Performance Based Assessment: • Census at School Rubric
Intellectual Property of Abbi Easton