Using factors and multiples to create equivalent fractions (Gr 7)

content

Curriculum

Grade 7:

B1.4 use equivalent fractions to simplify fractions, when appropriate, in various contexts

B1.5 generate fractions and decimal numbers between any two quantities

B2.5 add and subtract fractions, including by creating equivalent fractions, in various contexts

B2.6 determine the greatest common factor for a variety of whole numbers up to 144 and the lowest common multiple for two and three whole numbers

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:

Adding, Subtracting, Multiplying and Dividing Fractions
Describing and Representing a Percent
Describing and Representing Ratios
Equivalent Forms of Ratios
Equivalent Forms of Rates
Greatest Common Factor and Least Common Multiple
Representing and Comparing Rational Numbers
Solving Rate Problems
Solving Percent Problems
Solving Proportion Problems

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.

Proportional Reasoning

Facilitator's Guide

Student Book

Pedagogy

Pedagogical Teacher Support Documents

BigIdeasQuestioning_ProportionalReasoning.pdf

Big Ideas & Questions for Proportional Reasoning

proportionreason.pdf

Paying Attention to Proportional Reasoning

Visual Lesson Approaches to Support Student Understanding

Desmos

access create your free teacher account at teacher.desmos.com
Desmos support page
Many of these activities are also available in French

Desmos activities for this topic include:

Gizmos

Online simulations that power inquiry and understanding

Gizmos for this topic include:

Assessment Ideas

Assessment: Open Questions for Proportional Reasoning

Open Questions Organized by Big Idea

Assessment: Parallel Questions for Proportional Reasoning

Parallel Tasks for Proportional Reasoning

Introductory Video

Knowledgehook

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

Knowledgehook Support Page

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 Number: B2)

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."

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 Number: B2)

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 - Number B1.pdf

B2: 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

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.

technology

Digital Manipulatives

Colour tiles

Number Line

Fraction Strips

Relational Rods+

Geoboard