SCORE Mathematics

Standards Connections

Where do I want to live?

By: Jorretta Folley

 

 Introduction:

  • This is a segment of a larger Social Studies Project. In this project, the student selects a state and complete a detailed report.
  • This Math portion of the report allows the student to use some of the data to compare states and make decisions.

Objective:

  • The student will apply their understanding of mean and the graphing of data.

Prior Knowledge:

  • The Student should know how to add and divide to find the mean of listed data.
  • The student should know how to construct graphs.

Grade Level: 4-6

Resources:

Process:

  1. select a state to research
  2. find and record the population of your state (Access U.S. Bureau of the Census)
  3. find and record the median income for a family of 4 for your state (Access U. S. Census Bureau)
  4. find the cost of five homes in your state and calculate the mean cost of these 5 homes (Access Yahoo! Classifieds)
  5. compare findings with 4 other students and record their findings
  6. find the mean of the population of the 5 states and record the results
  7. find the mean of the incomes of the family of 4 and record the results
  8. find the mean of the cost of housing and record the results
  9. graph the results using bar graphs 

Learning Advice:

Students will learn to work independently, in small groups, and in large groups to gather data, compute mean, and graph results. 

Evaluation:

The student will select the state they would prefer to live in and tell why using and comparing the information gained from population, income and housing.

Extensions:

Each group will bring their results to the class and the class will use their findings to compile mean population, income, and housing for all states.

Conclusion:

The student will be able to apply data he/she has located to draw and support conclusions.

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California Mathematics Academic Standards:

Grade 4:
Statistics, Data Analysis and Probability
1.0 Students organize, represent, and interpret numerical and categorical data and clearly communicate their findings.
1.1 formulate survey questions; systematically collect and represent data on a number line; and coordinate graphs, tables and charts

Grade 5:
Statistics, Data Analysis and Probability
1.0 Students display, analyze, compare, and interpret different data sets, including data sets of different sizes.

1.1 know the concepts of mean, median, and mode; compute and compare simple examples to show that they may differ
1.2 organize and display single-variable data in appropriate graphs and representations (e.g., histogram, circle graphs) and explain which types of graphs are appropriate for various data sets

Grade 6:
Statistics, Data Analysis and Probability
1.0 Students compute and analyze statistical measurement for data sets.

1.1 compute the range, mean, median, and mode of data sets
1.4 know why a specific measure of central tendency (mean, median, mode) provides the most useful information in a given context

2.0 Students use data samples of a population and describe the characteristics and limitations of the samples.

2.1 compare different samples of a population with the data from the entire population and identify a situation in which it makes sense to use a sample
2.3 analyze data displays and explain why the way in which the question was asked might have influenced the results obtained and why the way in which the results were displayed might have influenced the conclusions reached
2.5 identify claims based on statistical data and, in simple cases, evaluate the validity of the claims

3.0 Students determine theoretical and experimental probabilities and use these to make predictions about events.

3.2 use data to estimate the probability for future events (e.g., batting averages or number of accidents per mile driven)

NCTM K-4:

STANDARD 1: MATHEMATICS AS PROBLEM SOLVING
STANDARD 2: MATHEMATICS AS COMMUNICATION
STANDARD 3: MATHEMATICS AS REASONING
STANDARD 4: MATHEMATICAL CONNECTIONS
STANDARD 6: NUMBER SENSE AND NUMERATION
STANDARD 7: CONCEPTS OF WHOLE NUMBER OPERATIONS
STANDARD 8: WHOLE NUMBER COMPUTATION
STANDARD 11: STATISTICS AND PROBABILITY

NCTM 5-8:

STANDARD 1: MATHEMATICS AS PROBLEM SOLVING
STANDARD 2: MATHEMATICS AS COMMUNICATION
STANDARD 3: MATHEMATICS AS REASONING
STANDARD 4: MATHEMATICAL CONNECTIONS
STANDARD 5: NUMBER AND NUMBER RELATIONSHIPS
STANDARD 7: COMPUTATION AND ESTIMATION
STANDARD 10: STATISTICS
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Revised June 19, 2000
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