Probability and StatisticsGoals for Achievement

Goals: Sixth Grade Standards

Building Blocks: Vertical Alignment

Building Blocks: Vertical Alignment

What’s important now?o Part-to-Whole Relationships

o Percentso Fractions

o Modelso Histogramso Stem-and-Leaf Plotso Box Plots

o Data Analysis Descriptiveso Mean, median, modeo Distributiono Range, Interquartile range

Part-to-Whole

Building from prior knowledge

Concrete to abstract

Discovery learning using relevant data

Real-world examples

Real-World Examples—Polls • What’s your favorite…

• Movie?

• Band?

• How many…

• Siblings?

• Pets?

• Categorize the class

• Hair color

• Height

Real-World Examples—Storytelling

• Excitement levels

• Student engagement

• Character reactions

Models

Bar graphs to histograms

Stem-and-leaf plots

Box plots

Multiple representations

Multiple Representations• Class measurements as histograms

• Compare and contrast with bar graphs

• Class measurements as stem-and-leaf plots

• Introduce mode, median, range, and IQR

• Box plots as performance assessment

Data Analysis Descriptives

Measures of central tendency

Measures of spread

General distributions of data

Statistically specific language

Word Walls• Students discover concept

independently• Teacher defines the new concept

using statistically specific language• Students then redefine specific

statistical terms using student-friendly language

• Terms are displayed• After term introduction, students

must practice using specific vocabulary vs. general

• “Could you be more specific?”• “Do you see a Word Wall term

that could be used here?”

Putting it All Together

Helpful Links

More data collection ideas:http://www.lessonplanet.com/lesson-plans/data-collection

Storytelling as data collection:http://www.carolhurst.com/subjects/math/datagather.html

Histograms vs. bar graphs:http://illuminations.nctm.org/LessonDetail.aspx?id=L812

Word Wall activities and examples:http://www.mathconcentration.com/profiles/blogs/math-word-wall-s-work

cspeck@(redacted).edu

References

Data Collection Teacher Resources. (n.d.). In Lesson Planet—Where teachers go to find, learn, plan & inspire. Retrieved from http://www.lessonplanet.com/lesson-plans/data-collection

Hurst, C. O., & Otis, R. (1996). Picturing Math. Retrieved from http://www.carolhurst.com/subjects/math/datagather.html

Ideas for a Successful Math Word Wall. (2012). In Math Concentration—When we believe our students achieve. Retrieved from http://www.mathconcentration.com/profiles/blogs/math-word-wall-s-work

National Council of Teachers of Mathematics. (n.d.). In Illuminations. Retrieved from http://illuminations.nctm.org/Lesson.aspx?id=2983