Bar Graphing
Standards Addressed:
Content Area:
Mathematics
1. Visual displays
are used to describe data
Standard 3: Data
Analysis, Statistics, and Probability
a. Represent and interpret data. (CCSS: 3.MD)
i.
Draw a scaled picture graph and a scaled bar
graph to represent a data set with several categories. (CCSS: 3.MD.3)
Learning Objective:
Can I create a bar graph using my math dictionary?
Materials:
Magic Number pocket chart
Loose-leaf paper
8 Student iPads
Whiteboard iPad app
1 Teacher iPad with Apple TV
Students’ math dictionaries
Pencils
Dry erase markers, erasers, and small whiteboards
Computer, document camera, and projector
Anticipatory Set:
Warm-up board work
to get students’ brains in math mode.
1.
Magic
Number
-Projected on the whiteboard is a 4 digit number along with a number of
prompts. Students must answer the prompts with help from their neighbors about
the number on a half piece of paper to be turned in for me to check when they
are finished.
Example: 6742
a.
Write in
standard form
b.
Write in
expanded form
c.
Write in
word form
d.
Round to
the nearest 10
e.
Round to
the nearest 100
f.
Round to
the nearest 1000
g.
Add 427
h.
Subtract
from 10,000
i.
Multiply
by 3
j.
Multiply
by 7
k.
Divide
by 4
l.
Divide
by 9
Lesson:
2.
60
Second Question: What are all the parts of a graph you can think of? Students
will write on small whiteboards at their desks.
3.
Ask
students to provide the learning objective for the lesson based on the 60
second question.
4.
Using
the iPad app Whiteboard and the Apple
TV I will project blank graph paper up on the board. The students will pass the
stylus pen and iPad around and several of them will place the necessary parts
onto the graph. All students will be following along and creating the graph on
their own small whiteboards.
a.
These
are the parts that need to be included:
i. Axis
ii. Title
iii. Labels
iv. Scale
v. Data (bars)
5.
I will
use the iMac Desktop Computer, the Document camera, and the ceiling mounted
projector to project my math dictionary on the whiteboard. I will draw a simple
graph with all the pieces labeled for the students to copy into their math
dictionaries.
a.
All the
students and I keep a math dictionary, which is a composition notebook where we
keep notes about every topic we learn about. I do not grade these. They are
strictly for the students’ reference.
b.
I also
post the pages I write in my math dictionary online on my website so if
students are struggling with their homework they can consult my lesson notes to
help them.
6.
Introduce
graphing project.
a.
I will
place the students in similar ability groups of 3 students. The students need
to work together to come up with what question they want to graph and what age
group they want to survey to get that information.
b.
We will
have a class discussion of the project and the students will decide what the
rubric should be for grading the final product.
c.
They will
then use the iPads to type their question and possible answer choices and email
it to a teacher of their choice. That teacher will then poll their class and
email the results back.
d.
Students
need to take that data and create a tally chart on the iPads in the Whiteboard app.
e.
From the
tally chart they will create a bar graph in the Whiteboard app and save it.
f.
When
they are done with their graph they need to write a paragraph summary of their
data analysis to include the following information:
i. Is the data what you expected it to be? Why
or why not?
ii. Which bar is the biggest? What does that
mean?
iii. Which bar is the smallest? What does that
mean?
iv. Do you think the data would be different if
we asked Kindergarteners? Why or why not?
v. Do you think the data would be different if
we asked only boys? Why or why not?
vi. Do you think the data would be different if
we asked teachers? Why or why not?
7.
I will
project the student’s graphs on the whiteboard using the Apple TV while the
students present their findings and read their analysis summaries to the class.
Formative Assessment:
8.
I will
be grading their magic number papers to assess their number sense and
understating.
9.
I will
be taking anecdotal notes and circulating to monitor student groups as they
work on their graphing project.
Summative Assessment:
10.
Their
final project will be graded using the rubric the class created.
11.
I will
also give the students a grade for their oral presentation skills.
Closure:
12.
We close
the class by discussing how we use math in real life. When outside of school
would we need to use a bar graph? What jobs need to know how to use bar graphs?
We write our ideas on a piece of paper on our math corkboard.