Unit
Graphs and Data
Local Objective
At the completion of this unit, the students will be able to:
- Collect data and record data in frequency tables and line plots and interpret the results.
- Create and interpret bar graphs, double-bar graphs, and picture graphs.
- Make a line graph from a set of ordered pairs and read and interpret the line graph.
- Organize data by place value in a stem and leaf plot.
- Make and interpret histograms.
- Complete circle graphs and interpret data given in circle graphs.
- Find the mean of data sets.
- Find the median, mode and range of data sets.
- Read, interpret, and create various types of graphs to solve problems.
Objective used to evaluate students
Yes
Assessment Activity
- Using the 18-1 Data from Surveys Quick Check and Practice worksheets to show the student can collect data and record data in frequency tables and line plots and interpret the results.
- Using the 18-2 Bar Graphs and Picture Graphs Quick Check and Practice worksheets to show the student canCreate and interpret bar graphs, double-bar graphs, and picture graphs.
- Using the 18-3 Line Graphs Quick Check and Practice worksheets to show that the student can make a line graph from a set of ordered pairs and read and interpret the line graph.
Using the 18-4 Stem-and-Leaf Plots Quick Check and Practice worksheets to show the student can organize data by place value in a stem and leaf plot.
- Using the 18-5 Histograms Quick Check and Practice worksheets to show the student can make and interpret histograms.
- Using the 18-6 Circle Graphs Quick Check and Practice worksheets to show the student can complete circle graphs and interpret data given in circle graphs.
- Using the 18-7 Mean Quick Check and Practice worksheets to show the student can find the mean of data sets.
- Using the 18-8 Median, Mode, and Range Quick Check and Practice worksheets to show the student can find the median, mode, and range of data sets.
- Using the Topic 18 Graphs and Data Multiple Choice Exam to show students can:
- Collect data and record data in frequency tables and line plots and interpret the results. ( Question 5 )
- Create and interpret bar graphs, double-bar graphs, and picture graphs. ( Questions 2,4,9-12 )
- Make a line graph from a set of ordered pairs and read and interpret the line graph. ( Question 15 )
- Organize data by place value in a stem and leaf plot.( Question 8 )
- Make and interpret histograms. ( Question 1)
- Complete circle graphs and interpret data given in circle graphs. ( Question 3 )
- Find the mean of data sets. ( Questions 6,7,14)
- Find the median, mode and range of data sets. ( Questions 6,7,13)
Using the Topic 18 Graphs and Data Free-Response Exam to show students can:
- Collect data and record data in frequency tables and line plots and interpret the results. ( Question 5 )
- Create and interpret bar graphs, double-bar graphs, and picture graphs. ( Questions 2,4,9-12 )
- Make a line graph from a set of ordered pairs and read and interpret the line graph. ( Question 15 )
- Organize data by place value in a stem and leaf plot.( Question 8 )
- Make and interpret histograms. ( Question 1)
- Complete circle graphs and interpret data given in circle graphs. ( Question 3 )
- Find the mean of data sets. ( Questions 6,7,14)
- Find the median, mode and range of data sets. ( Questions 6,7,13)
Level of Expectation
80%
List of concepts and Evaluation Types
| Concept | Evaluation Type |
| Find the median, mode and range of data sets | CR |
| Find the median, mode and range of data sets | SR |
| Find the mean of data sets | CR |
| Find the mean of data sets | SR |
| Complete circle graphs and interpret data given in | CR |
| Complete circle graphs and interpret data given in | SR |
| Make and interpret histograms | CR |
| Make and interpret histograms | SR |
| Organize data by place value in a stem and leaf pl | CR |
| Organize data by place value in a stem and leaf pl | SR |
| Make a line graph from a set of ordered pairs and | CR |
| Make a line graph from a set of ordered pairs and | SR |
| Create and interpret bar graphs, double-bar graphs | CR |
| Create and interpret bar graphs, double-bar graphs | SR |
| Collect data and record data in frequency tables a | CR |
| Collect data and record data in frequency tables a | SR |
Learning Activity
During whole group instruction, students will:
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to collect data and record data in frequency tables and line plots and interpret the results. .
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to create and interpret bar graphs, double-bar graphs, and picture graphs.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to make a line graph from a set of ordered pairs and read and interpret the line graph.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to organize data by place value in a stem and leaf plot.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to make and interpret histograms.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to complete circle graphs and interpret data given in circle graphs.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to find the mean of data sets.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to find the median, mode, and range of data sets.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to read, interpret, and create various types of graphs to solve problems.
During independent work time, students will complete the:
- 18-1 Data From Surveys Quick Check and Practice worksheet.
- 18-2 Bar Graphs and Picture Graphs Quick Check and Practice worksheet.Students will use their laptop computers to play a bar graphs and picture graphs game at the following website: http://www.gamequarium.com/data.html
- 18-3 Line Graphs Quick Check and Practice worksheet.
- 18-4 Stem-and-Leaf Plots Quick Check and Practice worksheet
- 18-5 Histograms Quick Check and Practice worksheet.
- 18-6 Circle Graphs Quick Check and Practice worksheet. Students will work with a partner to create a circle graph using information they have obtained from doing a survey of something favorite ( ie, favorite food, sport, ice cream, etc.). They will ask a neighboring classroom for permission to obtain data for their graph. They will use Microsoft Excel to create a circle graph.
- 18-7 Mean Quick Check and Practice worksheet
- 18-8 Median, Mode, and Range Quick Check and Practice worksheet. Students will use their laptop computers to play a game on determining prime and composite numbers at the following website: http://www.gamequarium.com/data.html
- 18-9 Problem Solving: Make a Graph Quick Check and Practice worksheets.
At the end of each unit, the students will use their computers to play a review game over that topic by going to the Mind Point Quiz Bowl icon on their computer.
Instructional Method
During whole group instruction, the teacher will:
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed for student to collect data and record data in frequency tables and line plots and interpret the results.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to create and interpret bar graphs, double-bar graphs, and picture graphs. Instruct students to go to the following website : http://www.gamequarium.com/data.html , giving technological help as needed.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to make a line graph from a set of ordered pairs and read and interpret the line graph
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to organize data by place value in a stem and leaf plot.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to make and interpret histograms.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to complete circle graphs and interpret data given in circle graphs. Put students into partners and explain that they will work together to create a circle graph using information they have obtained from doing a survey of something favorite ( ie, favorite food, sport, ice cream, etc.). They will ask a neighboring classroom for permission to obtain data for their graph. They will use Microsoft Excel to create a circle graph. After everyone is finished, they will save it to the teacher's folder and the teacher will bring it up onto the SMARTBoard and the students will present it to the class.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to find the mean of data sets.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to find the median, mode, and range of data sets. . Instruct students to go to the following website: http://www.gamequarium.com/data.html to practice finding the median, mode and range of numbers.
Content Standards
MA 1, MA 3, MA 4
Process Standards
1.1, 1.2, 1.4, 1.5, 1.8, 2.1, 2.3, 3.2, 3.4, 3.5
Resources
Scott Foresman EnVision Math Series Materials
www.pearsonsuccessnet.com
SMART Board
Student laptop computers with Internet connection
Student slates with dry erase markers
Correction Exercise
Scott Foresman EnVision Math Topic 3 Reteaching Materials
Enrichment Exercise
Scott Foresman EnVision Math Enrichment Materials
Center Activities and/or manipulatives
GLEs v2.0 and CLEs
| GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
| MA/A/1/B/5/a. | Mathematics | Algebraic Relationships | Understand patterns, relations and functions | Create and analyze patterns | 5th Grade | represent and analyze patterns using words, tables and graphs |
| MA/A/3/A/5/a. | Mathematics | Algebraic Relationships | Use mathematical models to represent and understand quantitative relationships | Use mathematical models | 5th Grade | model problem situations and draw conclusions, using representations such as graphs, tables or number sentence |
| MA/A/4/A/5/a. | Mathematics | Algebraic Relationships | Analyze change in various contexts | Analyze change | 5th Grade | identify, model and describe situations with constant or varying rates of change |
| MA/D/1/A/5/a. | Mathematics | Data and Probability | Formulate questions that can be dressed with data and collect, organize, and display relevant data to answer them | Formulate questions | 5th Grade | evaluate data collection methods |
| MA/D/2/A/5/a. | Mathematics | Data and Probability | Select and use appropriate statistical methods to analyze data | Describe and analyze data | 5th Grade | compare related data sets |
| MA/D/3/A/5/a. | Mathematics | Data and Probability | Develop and evaluate inferences and predictions that are based on data | Develop and evaluate inferences | 5th Grade | given a set of data, make and justify predictions |
| MA/G/2/A/5/a. | Mathematics | Geometric and Spatial Relationships | Specify locations and describe spatial relationships using coordinate geometry and other representational systems | Use coordinate systems | 5th Grade | use coordinate systems to specify locations, describe paths and find the distance between points along horizontal and vertical lines |