Representing and interpreting data is a common theme in elementary mathematics instruction. Unfortunately, most activities seem to "spoon feed" the representation, typically a bar or line graph, to students with the x- and y-axis, labels and scale all completed and ready to go. What happened to the good old days when students were handed a piece of graph paper and had to create the representation from scratch? I can appreciate the need for students to efficiently demonstrate their knowledge, but I feel strongly that students need to create graphs 'from scratch' like we used to (as recorded in black and white movies!) when we were children.

This template is designed with third graders in mind, but can easily be modified and used with other grade-level students. In fact, it would not require a lot of time to modify the content (from favorite sport to favorite desserts, for example) and summary questions from page three.

Avoid using a one-to-one unit correlation for the bar graph, especially if you are working with intermediate level students. Even second graders could handle partitioning the box in half in which each box equals two.

Instructional Concept: Represent and interpret data.

Template Location in Wixie: Templates > Math > Data Analysis > Graphing

Estimated Completion Time: 10-20 minutes

# Math Standards and Learning Goals - Grade 3

Common Core State Standards - Mathematics - Measurement and Data
B.3. Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent 5 pets.

Virginia SOL - Mathematics - Probability and Statistics
15. The student will
a) collect, organize, and represent data in pictographs or bar graphs; and
b) read and interpret data represented in pictographs and bar graphs.

Texas TEKS - Mathematics - Data analysis.
8. The student applies mathematical process standards to solve problems by
collecting, organizing, displaying, and interpreting data. The student is expected to:
(A) summarize a data set with multiple categories using a frequency table, dot plot,
pictograph, or bar graph with scaled intervals.

## Wixie Skills Review:

Page 1 is a simple overview of the assessment in which a survey was completed by all students in their grade.

All text boxes have been locked, but can be unlocked by someone wishing to make changes. Stickers have been glued, but can easily be 'covered' by white paintings or shapes or even erased if new images are desired.

Show students how to move between pages in a project.

Page 2 is where students will create their bar graph.

This assessment is designed for students to complete independently as a demonstration of the data representation skills. However, it could be completed as a review of this process in which the teacher guides the graph creation. Students will need to add a title, axis labels, and 'fill' in various grids/boxes/cells of the graph using the Paintbrush, Shapes, or Fill Bucket tools.

Students will need to know how to add, type, and manipulate (including resizing and rotating) text objects or use the paintbrush tool as a 'pencil'.

Students will need to know how to partition 'boxes/cells' to represent a portion of five. The paint brush can be used as well as the fill bucket which would provide more precision.

Page 3 requires students to solve one-step problems.

Although text objects can be used, students should be encouraged to use the paintbrush tool to show the equation they used to solve the problem as well as their answer. The page has been divided into different sections using various colors to help designate 'work space' for each question.

Students will need to know how to resize the paintbrush tool to represent something similar to the width of a pencil.

## Making your own custom templates in Wixie

Wixie is a powerful canvas for elementary math learning. Wixie makes it easy to combine typed and drawn numbers, with math manipulatives and audio explanations of mathematical thinking.

With limited classroom time, you can create or customize Wixie templates to guide student math practice and independent work to meet specific math goals in your classroom. This video shares a few of the strategies I used to create and customize the Favorite - Bar Graph template.

Topics: Wixie, real world of math