Collecting, Organizing and REpresenting Data

content

Curriculum

Grade 7:

D1.1 explain why percentages are used to represent the distribution of a variable for a population or sample in large sets of data, and provide examples

D1.2 collect qualitative data and discrete and continuous quantitative data to answer questions of interest, and organize the sets of data as appropriate, including using percentages

D1.3 select from among a variety of graphs, including circle graphs, the type of graph best suited to represent various sets of data; display the data in the graphs with proper sources, titles, and labels, and appropriate scales; and justify their choice of graphs

D1.4 create an infographic about a data set, representing the data in appropriate ways, including in tables and circle graphs, and incorporating any other relevant information that helps to tell a story about the data

E2.4 construct circles when given the radius, diameter, or circumference

Grade 8:

D1.1 identify situations involving one-variable data and situations involving two-variable data, and explain when each type of data is needed

D1.2 collect continuous data to answer questions of interest involving two variables, and organize the data sets as appropriate in a table of values

D1.3 select from among a variety of graphs, including scatter plots, the type of graph best suited to represent various sets of data; display the data in the graphs with proper sources, titles, and labels, and appropriate scales; and justify their choice of graphs

D1.4 create an infographic about a data set, representing the data in appropriate ways, including in tables and scatter plots, and incorporating any other relevant information that helps to tell a story about the data

Knowledgehook's Math Background, Misconception Charts and Gap Closing Resources

These resources are available in your Knowledgehook account. They are also linked in this Google Doc. However, you must be logged into your browser or app with your DSB1 account to access this file.

Knowledgehook's math background charts explore the big ideas in detail and address best practices and tips for remediation. Their misconceptions charts include tips for understanding, preventing, and/or remediating common learning gaps, misconceptions, and errors for this topic. The Remediation questions can be assigned to students in order to assess individual students' specific remediation needs.

Topics for this unit:

Creating and Interpreting Broken & Continuous Line Graphs
Creating and Interpreting Circle Graphs
Describing and Representing a Percent
Location on the Cartesian Plane
Representing & Comparing Decimal Hundredths
Representing & Comparing Decimal Thousandths

Grade 7 & 8 Knowledgehook Support Charts

Marian Small's Gap Closing

Gap Closing resources are designed for students who need additional support in mathematics. For each topic in the resource, there is a diagnostic and a set of intervention materials. Diagnostics are designed to uncover the typical problems students have with a specific topic. This unit requires students to express many values as percentages which requires a firm understanding of decimals.

Decimals

Facilitator's Guide

Student Book

Pedagogy

Data Talks

What Is A Data Talk?

"Data talks are short 5-10 minute classroom discussions to help students develop data literacy. This pedagogical strategy is similar in structure to a number talk, but instead of numbers, students are shown a data visual and asked what interests them. In a data talk the teacher does not have to be an expert in the topic of the data visualization – if a student asks a question, you can say that you do not know the answer but would love to find out, together! This a nice opportunity to model not knowing, and embracing uncertainty. Data talks are intended to pique students’ curiosity and encourage question asking, and to help them understand and “read” the data-filled world in which they live." YouCubed.org, 2020

What-is-a-Data-Talk-1.pdf

Sample Data Talks

Check out What's Going On In This Graph? (by The New York Times) for many, many more data talk topics.

Data Talks for Distance Learning Teachers

You can use the snapshots tool in Desmos to orchestrate the discussion for a data talk. Here's an example Desmos activity and a tutorial on using the snapshot tool to collect and share student thinking.

teacher.desmos.com/activitybuilder/custom/5c17f7dd6e98c90a9f4fecb6

Sample Lesson

Detailed Lesson Outline

Sampling and Frequency Distribution Lesson Planning Notes

Lesson Planning Notes

Desmos Activity

Visual Lesson Approaches to Support Student Understanding

Desmos

access create your free teacher account at teacher.desmos.com
See a brief introductory video and a support page

Activities for this topic include:

Charge! (Modelling smartphone charging)

The Running Game

Assessment Ideas

Introductory Video

Knowledgehook

Knowledgehook is an Instructional Guidance System (IGS) that uses engaging assessments to unlock insights and expert guidance for math teachers.

Create assessments from question banks aligned with the new 2020 Ontario Mathematics Curriculum
Assign work as "Game Shows" (class-wide activity similar to Kahoot) or as self-paced "Missions"
Reports and built-in individualized gap closing materials activities support teachers in remediation efforts
Parental portal allows parents to view their child's progress and send encouraging messages
DSB1 premium upgrade (You must be logged into Google with your DSB1 account to see this document.)
Teacher Essentials support document

Triangulating Assessment Data

Use ongoing, progressive rubrics to record student progress based on triangulated data, like observations and conversations.

(Sample template for Reasoning & Proving Rubric)
(Sample template for Data: D1)

Here's a great blog post by Damian Cooper called What is “Triangulation” in the Assessment Context?, which will help support our understanding of how we can assess as we move towards giving students messier and more real problems where the process of problem-solving is valued in addition to "the right answer."

Documenting Conversation & Observations - Data.pdf

You can use Google Forms to quickly document evidence of learning during your conversations with and observations of your students. This PDF includes links to several Google Forms organized by strand. You'll need to copy and modify them to include your students' names.

Google Forms for Documenting Student Learning.pdf