Unit 3:  Mathematical Representations

Time Frame:  6 Weeks

 

 

 

Math > Grade 4 > Unit 3

 

Unit Description

Students will explore activities to discover trends in data to present in appropriate graphs and tables.  The information revealed in the graphs will lead the students to make predictions and summaries.  Cause-and-effect relationships and critical thinking skills will be utilized to make informed decisions. Activities that use collection and organizational techniques will deepen number sense, estimation, use of manipulative, and technology as they explore problem solving.

 

Enduring Understandings

·    Mathematical information can be described in a picture.

·    There are a variety of ways to draw a mathematical picture.

·    Change in one part of the mathematical picture can cause a change in another part.

 

Essential Questions

·     Why is it necessary to describe things in mathematical pictures?

·     How can we use graphs and graphic organizers to draw mathematical pictures?

·     How does different mathematical information influence my choices of how to draw the picture?

·     How can changes in one part of the picture affect other parts of the picture?

GLEs: 2, 4, 5, 7, 8, 9, 14, 16, 33, 34, 35, 36, 37, 38, 39, 40, 41, 44

 

Students will know…

·         Trends                  

·         key/legend    

·         table

·         Summaries           

·         mean              

·         tree diagram

·         Predictions            

·         mode            

·         outcomes

·         Data representations 

·         median      

·         probability               

·         number set   

·         line plots

·         Ordinal numbers    

·         titles            

·         bar graph

·         Data                      

·         axis labels   

·         interval

·         pictograph              

·         scales           

·         range

·         survey                     

·         symbol

 

Students will be able to…

·         Use data from graphs to make realistic predictions & determine patterns and trends.

·         Determine mean, median, and mode.

·         Construct charts, graphs with titles, axis labels, scales, and legends.

·         Match data and graph

·         Use deductive reasoning

·         Construct tree diagram to display combinations

·         Represent relationship in an input-output situation

Assessments

·       Performance Task

·       Performance Task 1 Rubric

·       Performance Task 2 & 3 Rubric

·       Journal – Rubric

·       Every Day Counts - Test

 

 

 

 

 

·     Understanding Average (1)

·     Understanding Average (1) Key

·     Understanding Average (2)

·     Understanding Average (2) Key

·     Understanding Average (3)

·     Understanding Average (3) Key

·     Understanding Average (4)

·     Understanding Average (4) Key

·     Understanding Average (5)

·     Understanding Average (5) Key

·     Place Value Mat