Standard #: MAFS.6.SP.1.2 (Archived Standard)


This document was generated on CPALMS - www.cpalms.org



Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.


General Information

Subject Area: Mathematics
Grade: 6
Domain-Subdomain: Statistics & Probability
Cluster: Develop understanding of statistical variability. (Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    N/A

    Assessment Limits :
    Circle graphs and line graphs may not be used. Items should include a distribution.
    Calculator :

    No

    Context :

    Allowable



Sample Test Items (1)

Test Item # Question Difficulty Type
Sample Item 1

A dot plot is shown.

 

 

If the quantities 3 and 4 are added to the data set, how would the distribution be affected? 

 

 

 

N/A MC: Multiple Choice


Related Courses

Course Number1111 Course Title222
1205010: M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1205020: M/J Accelerated Mathematics Grade 6 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
0800000: M/J Health Grade 6 Year (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
0800030: M/J Health Grade 6 Semester (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
2105030: M/J Advanced World Cultures (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
2106010: M/J Civics (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 - 2023, 2023 and beyond (current))
2106015: M/J Civics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
2106016: M/J Civics & Career Planning (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 - 2023, 2023 and beyond (current))
2106020: M/J Civics, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 - 2023, 2023 and beyond (current))
2106025: M/J Civics, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
2106026: M/J Civics, Advanced & Career Planning (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 - 2023, 2023 and beyond (current))
2106030: M/J Law Studies (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
7812015: Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
2106029: M/J Civics and Digital Technologies (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
7912110: Fundamental Explorations in Mathematics 1 (Specifically in versions: 2013 - 2015, 2015 - 2017 (course terminated))
2003030: M/J STEM Physical Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2002200: M/J STEM Environmental Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2001025: M/J STEM Astronomy and Space Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2000025: M/J STEM Life Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2109015: M/J World History and Career Planning (Specifically in versions: 2016 - 2019, 2019 - 2022, 2022 - 2023, 2023 and beyond (current))
2109025: M/J World History, Advanced and Career Planning (Specifically in versions: 2016 - 2019, 2019 - 2022, 2022 - 2023, 2023 and beyond (current))
0800005: M/J Health & Career Planning Grade 6 Year (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
7821024: Access M/J World History and Career Planning (Specifically in versions: 2019 - 2023, 2023 and beyond (current))
0800035: M/J Health Grade 6 Semester and Career Planning (Specifically in versions: 2020 - 2022, 2022 and beyond (current))


Related Resources

Formative Assessments

Name Description
Math Test Center

Students are asked to describe and compare the centers of two data sets given their dot plots.

Pet Frequency

Students are asked to describe the distribution of data given in raw form.

Math Test Spread

Students are asked to describe and compare the spread of the distribution of two data sets given their dot plots.

Math Test Shape

Students are asked to describe the shapes of three distributions given their dot plots and to explain the shapes in terms of the context.

Lesson Plans

Name Description
Climate and Careers!

Students will explore chosen outdoor careers and how the careers connect to certain climates based on temperature and precipitation. The guiding question states "How might you use evidence from weather data and dot plot displays to allow you to identify which location's climate would be best for your career and why?" Students will collect data online and display the data using dot plots on posters with analysis using the mean. Students will engage in collaboration throughout. A power point is included with all necessary resources.

Data Sets Represented in Computers

This lesson shows how data can be represented by computers, in relation to everyday activities we may not be aware that we use computer. It gives an overview of graphing data by creating a histogram based on population data. Using the data collected, students will get a chance to hand write code to show what structure is needed for computers to collect, analyze and distribute such data. This lesson is lesson 1 of the Data Set and Deviation Statistics Unit and bridges statistical concepts of data collection, graphing and analysis with programming a computer using coding language while reinforcing foundational algebraic skills.

Sensoring Data

In this follow up lesson, students will explore data collection using the weather station sensor and perform statistical analysis of the data. Students will use a scientific method of inquiry to plan an investigation of their own. This activity is meant to allow students to use a variety of skills they have acquired throughout a statistics unit in a personally meaningful way.

Measurement and Data Collection

In this interdisciplinary lesson, students will practice the skill of data collection with a variety of tools and by statistically analyzing the class data sets will begin to understand that error is inherent in all data.

This lesson uses the Hip Sciences Sensor Wand and Temperature Probe. Please refer to the corresponding Hip Science Sensor Guide(s) for information on using the sensor.

Measurement Data Error

In this interdisciplinary lesson, students will practice the skill of data collection with a variety of tools and by statistically analyzing the class data sets will begin to understand that error is inherent in all data.

Measurement and Data Collection

In this interdisciplinary lesson, students will practice the skill of data collection with a variety of tools and by statistically analyzing the class data sets will begin to understand that error is inherent in all data.

This lesson uses the Hip Sciences Sensor Wand and Temperature Probe. Please refer to the corresponding Hip Science Sensor Guide(s) for information on using the sensor.

Sensoring Data

In this follow up lesson, students will explore data collection using the weather station sensor and perform statistical analysis of the data. Students will use a scientific method of inquiry to plan an investigation of their own. This activity is meant to allow students to use a variety of skills they have acquired throughout a statistics unit in a personally meaningful way.

May the neutrally buoyant force be with you !
  • This lesson helps students understand that forces affect motion and that some forces can be manipulated to be balanced or unbalanced with respect to motion. In the lesson, students use their knowledge of types of forces and free body diagrams to do an inquiry activity where they attempt to make a film canister neutrally buoyant in a 10 gal tank full of fresh water. (I have also used 2 L bottles with tops cut off and an empty pie pan to collect spillage.) Students need to predict, observe, and explain along the way as well as collect and record data to help quantify their results.
  • After the lesson, students apply their new knowledge gained through experiential learning to real life scenarios in an abstract way as a formative assessment.
Comparing and Contrasting Data Sets Using Measures of Center and Spread

This lesson is designed to show students how to apply their understanding of data distribution, center, and spread to compare and contrast data sets. The lesson should be covered over two class periods (or one if on a block schedule). In this lesson, students will be asked to:

  • Review important vocabulary and prior knowledge.
  • Make observations from dot plots and data sets.
  • Calculate measures of central tendency (mean, median, mode).
  • Calculate a measure of spread (range).
  • Examine how outliers affect data sets.
  • Complete a group activity and compare results to other groups.
  • Use measures of center and spread to compare/contrast data sets.
Statistically Speaking Part II: An Investigation of Statistical Questions and Data Distribution

This lesson is Part 2 of 2 and uses the inquiry based learning method to help students recognize a statistical question as one that anticipates variability in the data. Through cooperative learning activities, the students will develop an understanding of how to analyze the collected data to answer a statistical question. Students will complete a statistical research project in teams. Since this lesson focuses on math concepts related to identifying clusters, gaps, outliers and overall shape of a line plot, it will help students build a strong foundation for future concepts in the statistics and probability domain. The corresponding lesson is Statistically Speaking Part I: An Investigation of Statistical Questions and Data Distribution, Resource ID 48649.

Statistically Speaking Part I: An Investigation of Statistical Questions and Data Distribution

This lesson is Part 1 of 2 and uses the inquiry-based learning method to help students recognize a statistical question as one that anticipates variability in the data. Through cooperative learning activities, the students will develop an understanding of how to analyze the data collected to answer a statistical question. Since this lesson focuses on math concepts related to identifying clusters, gaps, outliers and overall shape of a line plot, it will help students build a strong foundation for future concepts in the statistics and probability domain. The corresponding lesson Resource ID is: 49091

Heartbeat in a Box

This lesson teaches how to make a box plot paying attention to what the quartiles mean. Students find resting heartbeat and active heartbeat. They make observations of this data displayed in box plots on the same number line. Students will interpret and make sense of this data, as well. Outliers are introduced, but not calculated, as is the intent of the standards, at this grade level.

Data Doctors

Have your students become "Data Doctors" by examining and analyzing means of central tendency. This lesson is a great introduction to mean, median, mode and range. Students will be sets of data, get to work in small groups examining the sets, learn a poem that will help them remember each term and take surveys to get real data sets.

Original Student Tutorials

Name Description
Math Models and Social Distancing

Learn how math models can show why social distancing during a epidemic or pandemic is important in this interactive tutorial.

Castles, Catapults and Data: Histograms Part 2

Learn how to interpret histograms to analyze data, and help an inventor predict the range of a catapult in part 2 of this interactive tutorial series. More specifically, you'll learn to describe the shape and spread of data distributions.

Click HERE to open part 1.

Problem-Solving Tasks

Name Description
How Long is 30 Seconds?

The purpose of this task is for students to gain a better understanding of the passage of time. Students with the help of their teacher should work to design an investigation to find out how successful the class is at predicting when 30 seconds has passed. Once the data is recorded students should begin to graph their findings to make comparisons.

Electoral College

Students are given a context and a dotplot and are asked a number of questions regarding shape, center, and spread of the data.

Puppy Weights

Using the information provided, create an appropriate graphical display and answer the questions regarding shape, center and variability.

Teaching Idea

Name Description
Drops on a Penny (Box-and-Whiskers Graph) Students collect data, compute measures of central tendency, and create stem-and-leaf plots and box-and-whiskers plots.

Tutorial

Name Description
Shapes of Distributions

In this video, you will practice describing the shape of distributions as skewed left, skewed right, or symmetrical.

Virtual Manipulative

Name Description
Histogram Tool

This virtual manipulative histogram tool can aid in analyzing the distribution of a dataset. It has 6 preset datasets and a function to add your own data for analysis.

Student Resources

Original Student Tutorials

Name Description
Math Models and Social Distancing:

Learn how math models can show why social distancing during a epidemic or pandemic is important in this interactive tutorial.

Castles, Catapults and Data: Histograms Part 2:

Learn how to interpret histograms to analyze data, and help an inventor predict the range of a catapult in part 2 of this interactive tutorial series. More specifically, you'll learn to describe the shape and spread of data distributions.

Click HERE to open part 1.

Problem-Solving Tasks

Name Description
Electoral College:

Students are given a context and a dotplot and are asked a number of questions regarding shape, center, and spread of the data.

Puppy Weights:

Using the information provided, create an appropriate graphical display and answer the questions regarding shape, center and variability.

Tutorial

Name Description
Shapes of Distributions:

In this video, you will practice describing the shape of distributions as skewed left, skewed right, or symmetrical.

Virtual Manipulative

Name Description
Histogram Tool:

This virtual manipulative histogram tool can aid in analyzing the distribution of a dataset. It has 6 preset datasets and a function to add your own data for analysis.



Parent Resources

Problem-Solving Tasks

Name Description
Electoral College:

Students are given a context and a dotplot and are asked a number of questions regarding shape, center, and spread of the data.

Puppy Weights:

Using the information provided, create an appropriate graphical display and answer the questions regarding shape, center and variability.



Printed On:3/28/2024 11:53:33 PM
Print Page | Close this window