Lesson Plan Template



Unit 6: Statistics Monday – Wednesday March 18 – March 20Standard:Monday 3/18/13: MCC6.SP.4. Display numerical data in plots on a number line, including dot plots, histograms, and box plots.Tuesday 3/19/13:MCC6.SP.5. Summarize numerical data sets in relation to their context, such as by: MCC6.SP.5.a. Reporting the number of observations.MCC6.SP.5.b. Describing the nature of the attribute under investigation, including how it was measured and its units of measurementWednesday 3/20/13MCC6.SP.5.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. MCC6.SP.5.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.Objective:Monday 3/18/13: Students will be able to (SWBAT) display numerical data in plots on a number line, including dot plots, histograms, and box plots.Tuesday 3/19/13: Students will be able to (SWBAT) summarize numerical data sets in relation to their context, such as by: reporting the number of observations. Describing the nature of the attribute under investigation, including how it was measured and its units of measurement. Wednesday 3/20/13: Students will be able to (SWBAT) 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. 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.Essential Question, Knowledge and Skill:Monday 3/18/13: What are dot plots, histograms, and box plots? A) Dot plots, histograms, and box plots are charts and graphs that display data. Tuesday 3/19/13: How do you interpret data in chart? A) It shows people results in a clear, organized, visual way. Wednesday 3/20/13: Where do the patterns in the chart (dot plots, histograms and box plots come from? A) The patterns come from the data results displayed in an organized visual way. Assessment:Formative: Teacher will have students but what they learned from the lesson on a sticky note and post to the “Parking Lot - Go” poster (Monday, Tuesday, Wednesday, Thursday, and Friday).Summative: Opening:Opening will consist of: Monday 3/18/13: Please find the mean, median, mode and range from the dot plot above. Mean: A) 124/20 = 6.2Median: A) 6+6 = 12 12/2= 6Mode: A) 6Range: A) 8 – 4 = 4 Tuesday 3/19/13:Please answer the following question for the above Histogram. How many students scored between 60 and 80 on the final exam?How many students scored below 60 on the final exam?How many students scored 80 to 100 on the final exam?How many students scored below 40 on the final exam?A1) 40A2) 35A3) 25A4) 15 Wednesday 3/20/13:Q1) What do you think the median is? A) 82Q2) What do you think the lower quartile median is? A) 69Q3) What do you think the upper quartile median is? A) 92New Content:(I Do)Teacher will:Monday 3/18/13: Teacher will put dot plot on the promethean board. Teacher will say today we are using data to make plots. A dot plot is like a line plot, but with the dots instead of X’s or numbers. Look at the data. Teacher will explain how you can show information. Class Survey ? ? ? ? How many sports do you play? ? ? ? 0, 2, 1, 3, 1, 2, 0, 3, 2, ? ? ? ? ? ? ? ? 2, 1, 2, 1, 0, 2, 1 ??? ?~--=-. ~--.----.-~--.--.-, 0 1 2 3 4 5 6 Number of sports Teacher will ask students how is the dot plot useful to represent data in this way. Teacher will guide students in finding the mean, median, mode, and range for the dot box plot. Mean – 23/16 = 1.43Median – 2+1 = 3 – 3/2 = 1.5Mode – 2 Range – 3-0 = 3 ?Tuesday 3/19/13: Teacher will draw a histogram and the data table on the promethean board. Teacher will say today we will use data to make histograms. A histogram is like a bar graph, but it is used to show frequency and ranges of data.AgesFrequency1-101511-202521-302031-401041-501051-605 Teacher will ask How it is useful to represent data in this way. (A, shows people results in a clear, organized, visual way). Teacher will ask students what does this graph tell you about who uses the park? (A, this graph shows the students that people ages11-20 use the park more than anyone else). Teacher will explain to students They are very easy to read, They show?trends?in the data clearly. A histogram is great for comparing data. A?Histogram?displays data so that it can be easily nderstood.? A?histogram?is similar to a bar graph, but the bars?must touch!Wednesday 3/20/13: Teacher will draw a box plot on the Promethean Board, as say today we are going to be making box plots (also known as whisker and box plots). A box plot is a type of graph that shows how the data in a set are distributed. Teacher will explain that to make a box plot, they must first put the data in order from least to greatest, from smallest to largest. Then find the lower and upper extreme, the lower quartile, the least and greatest numbers in the data set. The middle quartile is the median. The lower quartile is the median of the lower half of the data set. The upper quartile is the median of the upper half of the data set. Guided Practice:(We Do)Teacher and students will: Monday 3/18/13: Teacher will work with students to find answers to the questions related to the dot plot. Q1) Tuesday 3/19/13: Teacher will work with students to find the answers to questions related to the histogram. Q1) How many people who are 51 -60 use the park? A1) 5Q2) How many people who are ages 21 – 30 use the park? A2) 20Q3) How many people who are over the age of 20 use the park?A3) 45Wednesday 3/20/13: Teacher will draw a box plot on the board and give the data set of 91, 95, 98, 100, 101, 105, 109, 114, 117, 120, 128. Teacher will work through the first two problems from worksheet with students. Q1) What is the least value of the data? (Label is as Point A. A) 91. Q2) What is the greatest value of the data? (Label it Point B) A) 128Independent Practice:(You Do)Students will: Monday 3/18/13: Students will complete worksheet with 6 questions about dot plots. What are dot plots, histograms, and box plots? [ If time remains students will make their own Dot Plot]Tuesday 3/19/13: Students will complete the 8 questions on the worksheet for histograms. [ If time remains students will make their own Histogram]Wednesday 3/20/13: Students will continue to complete the remaining 7 question on the worksheet. [ If time remains students will make their own Whisker and Box Plots] Closure:Teacher will ask: Monday 3/18/13: Teacher will ask students to answer the Essential Question.Tuesday 3/19/13: Teacher will ask students to answer the Essential Question.Wednesday 3/20/13: Teacher will ask students to answer the Essential Question. Differentiation:Teacher will differentiate by: ELL: Will benefit by having all questions and steps read to them and clarified. (According to the accommodations)Verbal-Linguistic Students: will benefit by writing in their openings. Logical-Mathematical: will benefit by working with numbers.Visual-Spatial: will benefit from writing in their journals and the vocabulary activity and Frayer model homework.Bodily-Kinesthetic: will benefit by working in groups on vocabulary activity. Musical: will benefit from low school approved music being played in background. Interpersonal: will benefit by allowed to workIntrapersonal: will benefit from writing in their journals and Frayer model vocabulary homework. Naturalistic: will benefit by relating openings to real life nature questions.Technology/Resources/Materials:Promethean/Active Board installed in classroom. Worksheets Student Misconceptions:M1) Students may think that dot plots, histograms, and box plots are the dame?A1) Teacher will clarify by showing the student the differences between, dot plots, histograms, and box plots. M2) Student may think that the number 0 in the frequency tables do not represent a number?A2) Teacher will clarify that the number 0, has a place, and must be counted as a number when finding, the mean, median, mode, and range. M3) Students may think that the frequency in the data or frequency table is different when students are using box plots.A3) Teacher will walk students through the tables of data and explain that data is data. Mathematics PracticesMathematical Practices: 1. Make sense of problems and persevere in solving them.2. Reason abstractly and quantitatively.3. Construct viable arguments and critique the reasoning of others.4. Model with mathematics.5. Use appropriate tools strategically.6. Attend to precision.7. Look for and make use of structure.8. Look for and express regularity in repeated reasoning. ................
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