Introduction
In this unit plan we want students to develop an understanding of data analysis by posing questions that need to be answered from a data collection. Students then will be asked to organize, represent, investigate, interpret and make inferences from the data.
The unit is desgined in order to prepare students to develop and implement a plan for the collection, display and analysis of data, using technology as required and to evaluate and use measures of central tendency and variability.
What is data collection? In this unit we will define data collection as the process of gathering and measuring information on variables of interest, in an established systematic fashion that enables one to answer stated questions, test hypotheses and/or evaluate outcomes.
Overall Lesson Goals
Students will be able to :
1) Organize data
2) Analyze data and form questions so that conjectures can be made
3) Demonstrate an understanding of techniques for collecting data
4) Locate data so that questions can be answered that are of significance or personal interest
5) Represent data using different types of graphs by hand and by computer
6) Compute using the most appropriate measure of central tendency using technology
7) Analyze and understand the best fit line and the least squares solution and how it is computed.
Standards
A. Georgia Performance Standards (GPS)
1. MM1D2 - Students will use basic laws of probability.
2. MM1D3 - Students will relate samples to a population.
3. MM1P3 - Students will communicate mathematically.
4. MM1P5 - Students will represent mathematics in multiple ways.
5. MM2D1 - Using samples data, students will make informal inferences about population means and standard deviations.
6 . MM2D2 - Students will determine an algebraic model to quantify the association between two quantitative variables.
7. MM3D3 - Students will understand the differences between experiemental and observational studies by posing questions and collecting, analyzing and interpreting data.
B. National Council of Teachers of Mathematics (NCTM)
1. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them
2. Select and use appropriate statistical methods to analyze data
3. Develop and evaluate inferences and predictions that are based on data
Lesson Plans