Calculating Mean with Manipulatives for Grade 6
Explore an engaging method to teach students how to calculate the mean using manipulatives such as multi-link cubes. Follow along as students share cubes to achieve an equal amount, representing the arithmetic average. This interactive lesson helps students grasp the concept of mean effectively.
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Presentation Transcript
GRADE 6 Calculating the MEAN with Manipulatives Teaching Support for Packet 5, Lesson 5.1
Statistics Progression 6th Grade 7th Grade Measures of central tendency (median and mean) 8th Grade Random sampling Measures of variability (Mean Absolute Deviation (MAD) and Interquartile Range) Investigate patterns of association in bivariate data Compare two distributions using measures of center and measures of variability Clustering, outliers, positive or negative association, linear association, and nonlinear association Dot plots, box plots and histograms This PD session focuses on measures of central tendency associated with the mean. 6-5-Calculating the Mean with Manipulatives 2
Goals for Grade 6, Lesson 5.1 (SP5, Lesson 5.1, page 1) One goal in Lesson 5.1 is for students to calculate the mean. Here we show a way to give meaning to this statistic after students have completed the name score activity. 6-5-Calculating the Mean with Manipulatives 3
Use Manipulatives to find the mean Al Ben Cary Susan Ari Kim Greg Sandy Tere Give each student a quantity of multi-link cubes (or markers or pennies) equivalent to their name score. 6-5-Calculating the Mean with Manipulatives 4
To Find The Mean Al Ben Cary Susan Ari Kim Greg Sandy Tere Ask students to share multi-link cubes so that each will eventually have the same amount (within 1). For example, to begin, Ben could give Al 2 cubes so that they both have 5 cubes; and Sandy could give Tere 3 cubes so they both have 7 cubes. 6-5-Calculating the Mean with Manipulatives 5
Done! Al Ben Cary Susan Ari Kim Greg Sandy Tere Have students continue to give or take multi-link cubes until everyone is holding within one of the same amount. In the example above, every student has 6 or 7 blocks. What does the leveling out (or fair sharing) of all the cubes represent? The arithmetic average (or mean, in this case 6.78). 6-5-Calculating the Mean with Manipulatives 6
Thank you www.mathandteaching.org Was this PD session helpful? Please provide feedback to shelley@mathandteaching.org. 6-5-Calculating the Mean with Manipulatives 7
