Solving Measurement Problems

content

Curriculum

Grade 7:

C3.1 solve problems and create computational representations of mathematical situations by writing and executing efficient code, including code that involves events influenced by a defined count and/or sub-program and other control structures

C3.2 read and alter existing code, including code that involves events influenced by a defined count and/or sub-program and other control structures, and describe how changes to the code affect the outcomes and the efficiency of the code

E2.1 describe the differences and similarities between volume and capacity, and apply the relationship between millilitres and cubic centimetres to solve problems

E2.2 solve problems involving perimeter, area, and volume that require converting from one metric unit of measurement to another

E2.7 show that the volume of a prism or cylinder can be determined by multiplying the area of its base by its height, and apply this relationship to find the area of the base, volume, and height of prisms and cylinders when given two of the three measurements

Grade 8:

C2.3 solve equations that involve multiple terms, integers, and decimal numbers in various contexts, and verify solutions

C3.1 solve problems and create computational representations of mathematical situations by writing and executing code, including code that involves the analysis of data in order to inform and communicate decisions

C3.2 read and alter existing code involving the analysis of data in order to inform and communicate decisions, and describe how changes to the code affect the outcomes and the efficiency of the code

E2.2 solve problems involving angle properties, including the properties of intersecting and parallel lines and of polygons

E2.3 solve problems involving the perimeter, circumference, area, volume, and surface area of composite two-dimensional shapes and three-dimensional objects, using appropriate formulas

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:

Angle Relationships: Parallel Lines and a Transversal
Perimeter and Area of Composite Shapes
Solving Simple Linear Equations
Volume of Prisms and Cylinders

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.

Algebraic Expressions

Solving Equations

2-Dimentional Measurement

Facilitator's Guide

Student Book

Measurement: Volume & Surface Area

Facilitator's Guide

Student Book

Pedagogy

Sample Lesson

Cylinder Volume - Lesson Plan & Notes

Lesson Plan

Prism Collection.pdf

Cylinder Net.pdf

Connections to Real-Life Contexts with 3-Act Math Tasks

3-Act math tasks are a great way to weave together proportional reasoning and mathematical modelling. Visit the Mathematical Modelling page on this site for lots of 3-act math task resources.

3-Act Tasks that could connect to this unit:

(and tons more online…)

Visual Lesson Approaches to Support Student Understanding

Online simulations that power inquiry and understanding

Gizmos (ExploreLearning.com)

Gizmos that support this topic include:

Desmos

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

Some activities for this topic include:

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
How To Convert Units of Measurement Visually

Coding Tools

Click on a button below to access its support page.

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

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 ongoing, progressive rubrics (provided below) to record student progress based on triangulated data, like observations and conversations.

sample template for Reasoning & Proving Rubric

Rubrics for each of the new overall expectations

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 Conversations & Observations - Tracking Sheets.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.