Problems and tasks for 6th graders

by Sybilla Beckmann, Department of Mathematics, University of Georgia

The linked problems and tasks are ones I gave (or modifications of ones I gave) to the average class of 6th graders I taught every day during the 2004/2005 academic year at Clarke Middle School, a public school in Athens, Georgia. These problems and tasks address portions of the Georgia Performance Standard M6D, which is shown below. All linked problems and tasks are copyright Sybilla Beckmann, 2004, 2005. Teachers may freely copy and use these problems and tasks with their students. The Georgia Department of Education may use these problems and tasks for the Georgia Performance Standards.

M6D1. Students will represent and analyze data.

a. Construct frequency distributions, tables, and graphs using data.

b. Choose appropriate tables and graphs to be consistent with the nature of the data.

REMARK: M6D1. Graphs should include pictographs, histograms, bar graphs, line graphs, circle graphs, line plots, and frequency table.

• Making and interpreting graphs
• Mean, median, and mode

M6D2. Students will use experimental and simple theoretical probability and understand the nature of sampling. They will also make predictions from investigations.

a. Predict probability of a given event through trials/simulations (experimental probability).

b. Determine the theoretical probability of a given event.

c. Use proportions to estimate the nature of a collection of objects or a population from a random sample of the collection of objects or the population.

REMARK: M6D. Students should collect data through surveys.

Predicting the sizes of parts of a population from a sample:

• Equivalent Fractions and Random Samples,
• Problems on Equivalent Fractions and Random Samples,
• Equivalent fractions and random samples,

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