Big Ideas Algebra 2 Chapter 9
April – May (4 weeks); 2nd Semester
Big Ideas Algebra 2 Chapter 9
April – May (4 weeks); 2nd Semester
Chapter Title(s):
Data Analysis and Statistics (Chapter 9)
Prepared Graduates:
MP2. Reason abstractly and quantitatively.
MP3. Construct viable arguments and critique the reasoning of others.
MP4. Model with mathematics.
MP5. Use appropriate tools strategically.
MP6. Attend to precision.
MP8. Look for and express regularity in repeated reasoning.
Standard(s):
3. Data, Statistics, and Probability
The highlighted evidence outcomes are the priority for all students, serving as the essential concepts and skills. It is recommended that the remaining evidence outcomes listed be addressed as time allows, representing the full breadth of the curriculum.
Students Can (Evidence Outcomes):
HS.S-ID.A. Interpreting Categorical & Quantitative Data: Summarize, represent, and interpret data on a single count or measurement variable.
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages and identify data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. (CCSS: HS.S-ID.A.4)
HS.S-IC.A. Making Inferences & Justifying Conclusions: Understand and evaluate random processes underlying statistical experiments.
Describe statistics as a process for making inferences about population parameters based on a random sample from that population. (CCSS: HS.S-IC.A.1)
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? (CCSS: HS.S-IC.A.2)
HS.S-IC.B. Making Inferences & Justifying Conclusions: Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Identify the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. (CCSS: HS.S-IC.B.3)
Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling. (CCSS: HS.S-IC.B.4)
Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. (CCSS: HS.S-IC.B.5)
Evaluate reports based on data. Define and explain the meaning of significance, both statistical (using p-values) and practical (using effect size). (CCSS: HS.S-IC.B.6)
A star symbol (⭑) represents grade level expectations and evidence outcomes that make up a mathematical modeling standards category.
Additional Colorado Academic Standards Resources:
Please visit the complete 2020 Colorado Academic Standards for High School Mathematics to view the following:
Colorado Essential Skills and Mathematical Practices connections
Inquiry Questions
Coherence Connections
Prior Knowledge Connections:
Descriptive statistics (Algebra 1)
Comparative inferences about two populations (Grade 7)
Academic Vocabulary & Language Expectations:
Normal distribution, normal curve, population, sample, parameter, statistic, hypothesis, random sample, self-selected sample, systematic sample, stratified sample, cluster sample, convenience sample, bias, unbiased sample, biased sample, experiment, observational study, survey, simulation, biased questions, controlled experiment, treatment group, control group, placebo, randomization, randomized comparative experiment, descriptive statistics, inferential statistics, margin of error
Assessments:
SAT Suite Educator Question Bank (Content Domain: Problem-Solving and Data Analysis)
Instructional Resources & Notes:
Big Ideas Algebra 2 Chapter 9
Additional Modeling Tasks
Notes:
In Lesson 9.1 (Using Normal Distributions), students only need to know the areas under a normal curve (68%-95%-99.7%) for solving problems. Finding and using z-scores is optional and can be reserved for Honors Algebra 2 classes only.