Unit 1: Exploring Real-Life Phenomena through Statistics
IN THIS UNIT, STUDENTS WILL BE EXPECTED TO:
- Describe and interpret the center of a distribution (mean through fair-share).
- Summarize numerical and categorical data using number lines (dot plots, histograms, box plots) and bar graphs.
- Interpret numerical data to answer statistical investigative questions.
- Distinguish between questions that are statistical and those that are not, and write statistical investigative questions.
- Describe the distribution of data including its center, variability, and overall shape.
- Design simple experiments and collect data.
- Draw conclusions about data, compare sets of data, and make predictions.
- Relate the choice of measures of center and variability to the shape of the data distribution.
- Describe the impact of deleting or inserting data points on the mean and median of a data set.
- Create dot plots or box plots to examine the impact of deleting or inserting data points.
- Describe and interpret the center of a distribution (mean through fair-share).
- Summarize numerical and categorical data using number lines (dot plots, histograms, box plots) and bar graphs.
- Interpret numerical data to answer statistical investigative questions.
- Distinguish between questions that are statistical and those that are not, and write statistical investigative questions.
- Describe the distribution of data including its center, variability, and overall shape.
- Design simple experiments and collect data.
- Draw conclusions about data, compare sets of data, and make predictions.
- Relate the choice of measures of center and variability to the shape of the data distribution.
- Describe the impact of deleting or inserting data points on the mean and median of a data set.
- Create dot plots or box plots to examine the impact of deleting or inserting data points.
LEARNING OBJECTIVES:
6.NR.2. Apply operations with whole numbers, fractions and decimals within relevant applications. 6.NR.2.1. Describe and interpret the center of the distribution by the equal share value (mean). 6.NR.2.2. Summarize categorical and quantitative data sets in relation to the context: display the distributions of quantitative data in plots on a number line, including dot plots, histograms, and box plots and display the distribution of categorical data using bar graphs. 6.NR.2.3. Interpret numerical data to answer a statistical investigative question created. Describe the distribution of a quantitative variable collected, including its center, variability, and overall shape. 6.NR.2.4. Design simple experiments and collect data. Use data gathered from realistic scenarios and simulations to determine quantitative measures of center (median and or mean) and variability (IQR). Use these quantities to draw conclusions about the data, compare different numerical data sets, and make predictions. 6.NR.2.5. Relate the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered. 6.NR.2.6 Describe the impact that inserting or deleting a data point has on the mean and the median of a data set. Create data displays using a dot plot to examine this impact. LEARNING TARGETS (I Can Statements):
- I can interpret the mean of a set of data. - I can describe the center of distribution using mean. - I can distinguish between categorical and numerical data. - I can calculate measures of center for a data set (mean, median) - I can calculate measures of variation from a data set (range, interquartile range, mean absolute deviation). - I can create and analyze data in a box plot. - I can identify and create statistical questions. - I can identify an outlier in a set of data. - I can describe the impact an outlier has on the mean and median for a set of data. - I can make predictions using data gathered from realistic scenarios. - I can determine the best measures of center and variation to describe data. - I can analyze the shape of the data (i.e., narrow vs wide box, long vs short whisker). |
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TEXTBOOK CONNECTIONS:
(Use Georgia Reveal Math - Course 1 - 6th Grade)
Module 10 - Statistical Measures and Displays
Find and use statistical measures.
Lesson 10-1 Statistical Questions
Students will identify and use statistical questions.
Lesson 10-2 Dot Plots and Histograms
Students will construct dot plots and histograms using collected data.
Lesson 10-3 Measures of Center
Students will understand and apply different measures of center.
Lesson 10-4 Interquartile Range and Box Plots
Students will understand the interquartile range and construct box plots.
Lesson 10-5 Mean Absolute Deviation
Students will understand mean absolute deviation.
Lesson 10-6 Outliers
Students will understand outliers and their effect on measures of center.
Lesson 10-7 Interpret Graphical Displays
Students will interpret dot plots, histograms, and box plots.
(Use Georgia Reveal Math - Course 1 - 6th Grade)
Module 10 - Statistical Measures and Displays
Find and use statistical measures.
Lesson 10-1 Statistical Questions
Students will identify and use statistical questions.
Lesson 10-2 Dot Plots and Histograms
Students will construct dot plots and histograms using collected data.
Lesson 10-3 Measures of Center
Students will understand and apply different measures of center.
Lesson 10-4 Interquartile Range and Box Plots
Students will understand the interquartile range and construct box plots.
Lesson 10-5 Mean Absolute Deviation
Students will understand mean absolute deviation.
Lesson 10-6 Outliers
Students will understand outliers and their effect on measures of center.
Lesson 10-7 Interpret Graphical Displays
Students will interpret dot plots, histograms, and box plots.
IXL SKILLS: