Using patterning and the application of math facts to integers

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Curriculum

Grade 7:

C1.4 create and describe patterns to illustrate relationships among integers

B2.4 use objects, diagrams, and equations to represent, describe, and solve situations involving addition and subtraction of integers

C2.4 solve inequalities that involve multiple terms and whole numbers, and verify and graph the solutions

Grade 8:

C1.4 create and describe patterns to illustrate relationships among [integers a subset of] rational numbers

B2.4 add and subtract integers, using appropriate strategies, in various contexts

B2.7 multiply and divide integers, using appropriate strategies, in various contexts

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:

Dividing Integers
Multiplying Integers
Representing, Comparing and Adding Integers
Subtracting Integers

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.

Integers

Facilitator's Guide

Student Book

Pedagogy

Sample Discussion-Based Tasks

TwoTruths_OneLie_referenceGuide.pdf

Two Truths and a Lie

Read Jon Orr's blog post "4 WAYS TO USE TWO TRUTHS & ONE LIE IN ANY MATH CLASS"
Read Jon Orr's Two Truths & One Lie Quick Reference Guide
These sample True and False statements about integers that could be used for this activity.

Lesson from the Ontario Association of Mathematics Educators (OAME)

Grade 8 - Coding Lesson - Coding YouTube Do your students want to become YouTube stars? Students will learn how to Monetize a YouTube Channel and use coding to predict the revenue a YouTube video can generate. (Specific Expectations: A1, B1.1, C1.4, C3.1, C3.2)

Visual Lesson Approaches to Support Student Understanding

Gizmos

Online simulations that power inquiry and understanding

Gizmos for this topic include:

Integers, Opposites and Absolute Value (Absolute value can be omitted from lesson)

Adding and Subtracting Integers (Number line approach)

Adding and Subtracting Integers with Chips

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:

Adding Integers

Floats & Anchors

MathIsVisual.com

"This website was created to assist in building a better conceptual understanding of mathematics through the use of visuals. The images, videos and resources shared here are intended to help all teachers, parents and students understand that Math Is Visual and we should take every opportunity to teach it that way."

Kyle Pearce's blog post on maximizing the effectiveness of these resources
Integers Playlist

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

Use Showbie to create Problem-Solving Portfolios where students can work on problems with increasing complexity as they master the concepts and monitor their progress.

Triangulated Assessment Data

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

(Sample template for Reasoning & Proving Rubric)

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."

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