3. Student Learning Map

  • Topic:Data Analysis and Probability
  • Subject(s):Math
  • Days:20
  • Grade(s):5
Key Learning:

Collecting and displaying data makes it easier to use and understand
Unit Essential Question(s):
 
 

What information does data collection provide?
   
Concept:

Bar Graphs
Concept:

Line Graph
Concept:

Circle / Pie Graph
Lesson Essential Question(s):

How do I interpret and create a single bar graph?*

 (A)

How do I interpret and create a double bar graph?

 (A)
Lesson Essential Question(s):

What are the essential components of a line graph?

 (A)

When would line graphs be used?

 (A)
Lesson Essential Question(s):

When do I use a circle graph?*

 (A)

How do I read a circle graph?*

 (A)

How can I find missing data in a circle graph?*

 (A)

What might be found in working with bar, line, and/or circle graphs?

 (ET)
Vocabulary:

bar graph, double bar graph, scale, axis, interval, x-axis, y-axis

Vocabulary:

trend, line graph

Vocabulary:

circle / pie graph, percentage

Concept:

Stem & Leaf Plots
Concept:

Venn Diagram
Concept:

Analyze Data
Lesson Essential Question(s):

How do I interpret and a stem-and-leaf plot?*

 (A)

How do I construct a stem-and-leaf plot?

 (A)
Lesson Essential Question(s):

How can I interpret and create a Venn Diagram?*

 (A)

How can I interpret and create a triple Venn Diagram?

 (A)
Lesson Essential Question(s):

How can I find the range, mode, median, and mean?

 (A)

How can I analyze and compare information using graphs?

 (A)

How can I decide which type of graph or chart to use to represent data?

 (A)

How can I collect and analyze data using a survey?*

 (A)

What are some advantages to using data collection strategies?

 (ET)
Vocabulary:

stem, leaf, stem-and-leaf plot

Vocabulary:

triple Venn Diagram, intersection

Vocabulary:

average, mean, range, median, mode (most), survey

Concept:

Probability and Outcomes
Concept:

Combinations
Concept:
Lesson Essential Question(s):

How do I identify, record, explain, and predict outcomes?*

 (A)

How do I express probability as a fraction and ratio?*

 (A)
Lesson Essential Question(s):

How can I show the outcomes of an event?*

 (A)

How can I use a tree diagram to find the possible combinatios?*

 (A)

What influence does probability calculations have on predictions?

 (ET)
Lesson Essential Question(s):
Vocabulary:

event, probability, outcome, likely, not likely, least likely, impossible, certain, equally likely

Vocabulary:

tree diagram, organized list

Vocabulary:

Additional Information:

*Indicates former standard assessed through 2010.

SF 5; 12:10; It is essential that the concepts of constructing single bar, double bar, and line graphs along with interpreting and predicting data are taught thoroughly. When listing outcomes, make sure you teach both tree diagrams and making organized lists. spinners; dice; Kathy Robinson Graph and Grid Centers; graph paper; calendar math; Visual Math; Math Melodies CD; Math Party CD;

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Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • bar graph -

    A graph using rows and columns to show data

  • stem -

    The other digits (which are listed down)

  • average -

    The total of all scores, divided by how many scores there were; also referred as the mean score

  • circle / pie graph -

    A divided circle where each section represents part of the total

  • triple Venn Diagram -

    Three items being compared and contrasted

  • trend -

    Pattern in data on a line graph; shown by an increase or decrease

  • event -

    An occurance

  • tree diagram -

    A diagram that shows outcomes of an experiment

  • organized list -

    A strategy for problem solving by making a list so you can count the number of combinations prior to making a prediction; an informed guess about what will happen

  • probability -

    The chance an event will happen

  • intersection -

    To cross over

  • mean -

    The average of a set of values; 3+5+7=15÷3=5 (5 is the mean score)

  • leaf -

    The last digit (goes to the right from stem values)

  • percentage -

    Parts per 100

  • line graph -

    A graph that uses points connected by lines to show how something changes in value

  • double bar graph -

    A graph using either two rows or two columns to show data

  • range -

    Difference between lowest and highest values

  • outcome -

    A possible result

  • scale -

    Numbers that show the units used on a graph

  • likely -

    An event that probably will happen

  • stem-and-leaf plot -

    A plot that shows groups of data arranged by place value;

    i.e student grades on a test 52, 68, 73, 78, 79, 86, 89, 93, 97, 100

    stem leaf

    10 0

    9 7,3

    8 9,6

    7 9,8,3

    6 8

    5 2

  • axis -

    A reference line drawn on a graph

  • median -

    The middle value; 1,2,3,4,5

  • mode (most) -

    The number or object that appears most often in a set; 1,1,2,3,3,4,4,4,5

  • not likely -

    Low possibility of an event happening

  • interval -

    The number or item in-between two points

  • x-axis -

    Line that runs horizontally

  • survey -

    A method of collecting a sample of data by asking people questions

  • least likely -

    The smallest possibility of an event happening

  • impossible -

    An event that will not happen

  • y-axis -

    Line that runs vertically

  • certain -

    An event that will happen

  • equally likely -

    A 50/50 chance; an equal likelihood