Common Core Mathematics Unit Lesson Sequence 6th Grade Unit 1: Statistics and Probability Disclaimer: The following sample unit is intended to provide an example of a possible flow of instruction. Consider this a work in progress. As a sample instructional plan, it should invite discussion and development. It is not intended to be prescriptive, only suggestive. It may provide ideas and guidance in the development of conceptual understanding through a sample sequence of lessons. This UNIT can be adapted, modified, expanded, delivered as-is, or not used at all. Lessons are not time bound and may extend beyond a day. It simply provides an example unit of instruction which incorporates: Integration of the 8 Mathematical Practices Investigative tasks Formative assessment and performance assessments In this unit, you will find that specific standards are NOT listed within each lesson, as lessons integrate multiple standards to better address conceptual understanding. Previous Concepts Grade Level Standard(s) Central to Lesson Upcoming Concept CCSS.Math.Content.6.SP.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots. CCSS.Math.Content.6.SP.1 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students’ ages. CCSS.Math.Content.7.SP.2 Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. CCSS.Math.Content.6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. Common Core Mathematics Unit Lesson Sequence 6th Grade Unit 1: Statistics and Probability CCSS.Math.Content.6.SP.5 Summarize numerical data sets in relation to their context, such as by: a. Reporting the number of observations. b. Describing the nature of the attribute under investigation, including how it was measured and its units of measurement. c. Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered. d. Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered. Common Core Mathematics Unit Lesson Sequence 6th Grade Unit 1: Statistics and Probability Lesson Number 1 Title of Lesson & Description CCSS.Math.Content.6.SP.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots. CCSS.Math.Content.6.SP.3 Resources Post its enVision text book Ch 19 Exit tickets (Teacher’s choice) enVision Ch 19 http://illuminations.nctm.org/ActivityDetail.aspx?ID=78 Central Tendency lesson 3.1 handout Exit Ticket (Teacher’s choice) http://illuminations.nctm.org/ActivityDetail.aspx?ID=77 Box and whisker Lesson 3.4 handout Box and whisker exit ticket template Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. 2 CCSS.Math.Content.6.SP.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots. CCSS.Math.Content.6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. 3 CCSS.Math.Content.6.SP.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots. CCSS.Math.Content.6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number Common Core Mathematics Unit Lesson Sequence 6th Grade Unit 1: Statistics and Probability Lesson Number 4 Title of Lesson & Description CCSS.Math.Content.6.SP.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots. Resources The Task hand out enVision CH 19 Exit ticket Post its enVision text book Ch 19 Exit tickets (Teacher’s choice) CCSS.Math.Content.6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number CCSS.Math.Content.6.SP.1 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students’ ages. 5 CCSS.Math.Content.6.SP.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots. CCSS.Math.Content.6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. Common Core Mathematics Unit Lesson Sequence 6th Grade Unit 1: Statistics and Probability Lesson Number 6 Title of Lesson & Description CCSS.Math.Content.6.SP.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots. Resources enVision Ch 19 http://illuminations.nctm.org/ActivityDetail.aspx?ID=78 Central Tendency lesson 3.1 handout Exit Ticket (Teacher’s choice) http://illuminations.nctm.org/ActivityDetail.aspx?ID=77 Box and whisker Lesson 3.4 handout Box and whisker exit ticket template CCSS.Math.Content.6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. 7 CCSS.Math.Content.6.SP.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots. CCSS.Math.Content.6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number