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Problem Solving

This collection features resources to encourage and develop problem solving skills. 

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Math Circles Grades 5/6 University of Waterloo
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"Named in honour of the mathematician Emmy Noether, this free online project aims to encourage the participation of both teachers and students at the Grade 5 and 6 level in solving problems for enjoyment and satisfaction. The 'circle' symbolizes an inclusive and collaborative setting, open to a variety of ability levels, wherein mutual support enhances individual investigations.

Each Circle is a set of six problems, plus hints, suggestions, and solutions. The problems can be used individually, or as a set, as time permits. While group work is a major focus, most problems are also accessible to students who prefer to work on their own."

Subject:
Math
Material Type:
Activity/Lab
Author:
Design - Graphics University Of Waterloo
Date Added:
02/24/2020
Math Pickle - games and puzzles Gr. 1-9
Unrestricted Use
CC BY
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Original math puzzles, games and problems - organized by grade.
You may find this site will not work directly from the site - If the page doesn't work copy and paste this URL into a web browser http://mathpickle.com/

Subject:
Math
Material Type:
Activity/Lab
Game
Author:
F J
G H
Jean Piaget
John Guare
Marcus Du Sautoy
Michel De Montaigne
Date Added:
06/14/2019
Math Problem Solving Questions from University of Waterloo
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The Problem of the Week is designed to provide students with an ongoing opportunity to solve mathematical problems.

Each week, problems from various areas of mathematics will be posted here and e-mailed to teachers for use with their students from grades 3 and up.

Sign up to get the weekly problem sent right to your email!

Current week and past problems with solutions are available.

Subject:
Math
Material Type:
Activity/Lab
Homework/Assignment
Author:
University of Waterloo
CEMC
Date Added:
10/31/2018
Math Problem of the Week
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"The Problem of the Week is designed to provide students with an ongoing opportunity to solve mathematical problems. Each week, problems from various areas of mathematics will be posted here and e-mailed to teachers for use with their students from grades 3 and up."

This is great way to stretch your mathematical muscle and develop good problem solving skills (Understand, plan, solve, reflect).

Solutions are always provided!

Archives of past questions are also available.

Subject:
Math
Material Type:
Activity/Lab
Author:
University of Waterloo
Design - Graphics University Of Waterloo
Date Added:
12/12/2019
Math at Home from the University of Waterloo - CEMC
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"CEMC at Home has been developed to support teachers, students and parents during these challenging times. Most weekdays, we will post something for each of four grade levels: Grade 4 to 6, Grade 7/8, Grade 9/10 and Grade 11/12. The goal is to provide a wide variety of fun and educational ways to do mathematics and computer science while at home practicing social distancing. The resources will include games, new problems to solve, applications, videos, pointers to existing materials and more."

Subscribe to have the new activity emailed directly to you daily!

Subject:
Math
Material Type:
Activity/Lab
Author:
University of Waterloo
Design - Graphics University Of Waterloo
Date Added:
03/23/2020
Mathigon – Textbook of the Future
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This award winning math site is searchable by grade level (6-8, 9-10, 11-12), course content and activities. It encourages:
Active Learning
- The unique content format makes learning more interactive than ever before. Students can explore, discover and actively engage in problem solving and creativity.
Personalization
- The content can seamlessly adapt to different students, allowing everyone to achieve mastery. A virtual personal tutor gives real-time hints and encouragement.
Storytelling
- Every course has a captivating narrative and is full of colourful illustrations. Discover all the real-life applications of mathematics, and why it is incredibly beautiful.

Just a few topics include:
- Virtual manipulatives (including Canadian money)
- multiplication flash cards
- Fractals
- timeline of mathematics
- graph theory
- Pascal's triangle
- Factris
- Fibonacci
- circles and pi
- origami
- Platonic Solids
- Symmetry
- Probability
- Cylinders

Subject:
Math
Material Type:
Activity/Lab
Homework/Assignment
Simulation
Author:
Mathigon
Date Added:
03/01/2021
Maths for adults (or students!) Practical Math!
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"Free videos and downloadable worksheets to help adult learners improve their calculation and numeracy skills."

Math tutorials that include videos & worksheets for:
*number sense
*calculations
*percent and fractions
*measuring
*shapes
*graphs

😊NOTE: to access the "Downloadable Factsheets" available for each skill, RIGHT-CLICK ON THE FILE AND CHOOSE TO OPEN IN A NEW WINDOW! 😊

THIS IS A GREAT SITE TO SHOW STUDENTS THE PRACTICAL APPLICATIONS OF THE MATH YOU TEACH THEM.

Subject:
Math
Material Type:
Activity/Lab
Author:
BBC
Date Added:
11/01/2022
Open Middle Math - Challenging math problems worth solving
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Get DEEPER Math learning from your students. Get them thinking.

Grades K-12
Worksheets and THINKING activities are organized by strand on the right side of the website.

There is a great worksheet called "Open Middle Worksheet" on the top right for kids to document their process for problem solving. It gives them up to 6 attempts and the ability to explain what they have learned and how they need to change their approach for the next attempt.

This site accompanies the book "Open Math" by Robert Kaplinsky, but you do NOT need the book to benefit from these excellent questions.

Click "Get Our Favorite Problems" to get started (you will need to enter your info.) or use the menu organized by grade and strand on the right side of the page.

Free webinars are also recorded and available for elementary and secondary teachers to help "rethink classwork"

Example Question - Grade 3 - How many numbers are there between 1 and 3? (great way to introduce fractions).

Subject:
Math
Material Type:
Activity/Lab
Author:
Robert Kaplinsky
Date Added:
11/20/2019
Photomath
Rating
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Photomath is the ultimate educational tool for a smartphone or tablet. With over 300-million downloads, students and families around the world are using Photomath to check their homework, study for tests, and are building their math confidence every month.

Teachers can use Photomath to:
- Reinforce concepts learned in the classroom.
- Check homework assignments.
- Accelerate individual learning.

Get the easy to use Photomath app today! Head on over to Google Play or Apple to download the app and get started.
Students - make sure you have your parents permission.

Subject:
Math
Material Type:
Homework/Assignment
Author:
Photomath
Date Added:
12/14/2022
Problem Solve Your School
Read the Fine Print
Educational Use
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Students apply what they have learned about the engineering design process to a real-life problem that affects them and/or their school. They chose a problem as a group, and then follow the engineering design process to come up with and test their design solution. This activity teaches students how to use the engineering design process while improving something in the school environment that matters to them. By performing each step of the design process, students can experience what it is like to be an engineer.

Subject:
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denise W. Carlson
Jackie Sullivan
Malinda Schaefer Zarske
Megan Podlogar
Date Added:
10/14/2015
Problem Solving: 100 Board Logic Problems
Read the Fine Print
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Students use a hundred board to eliminate numbers after reading each clue. Students must apply their knowledge of even-odd, multiples and place value to successfully eliminate numbers until the solution is revealed.

Subject:
Math
Material Type:
Activity/Lab
Lesson
Provider:
Mathwire
Author:
Terry Kawas
Date Added:
05/21/2018
Same or Different? – Supporting Mathematical argument in the elementary grades
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Same or Different? is a routine that provides students opportunities to construct arguments when comparing objects, such as numbers or shapes.

A routine like Same or Different? provides accessible opportunities for even youngest students to learn how to talk about various features of mathematical objects – quantity, shape, color, orientation, and arrangement, to name a few.

Subject:
Math
Material Type:
Activity/Lab
Homework/Assignment
Author:
Brian Bushart
Date Added:
09/27/2022
Sample Problem Solving Questions from Marian Small
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Open-ended questions to differentiate math instruction.

This is a collection of different types of questions you can use for problem solving that differentiate to meet the varied needs of your classroom.

Some potential number talks are included in the "What one doesn't belong" section.

Subject:
Math
Material Type:
Activity/Lab
Author:
Marian Small
Date Added:
02/25/2020
Slow Reveal Graphs
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Slow Reveal Graph (#slowrevealgraph) is an instructional routine that promotes sensemaking about data. This highly engaging routine uses scaffolded visuals and discourse to help students (in K-12 and beyond) make sense of data. As more and more of the graph is revealed, students refine their interpretation and construct meaning, often in surprising ways. This routine increases access for students without sacrificing rigor or engagement.

You will find all types of graphs for all ages of learners from elementary to high school.

Here are the steps:
- It starts with a graph that has been stripped of context: its numbers, its labels, its title.
- The teacher facilitates a discussion around what students notice and wonder. (The slides give discussion suggestions)
- Then another slide is revealed.
- Students identify what information is new.
- Then another slide is revealed.
- Again, students identify what information is new (the title) and discuss how this changes their understanding of the graph.
- As more slides are added, more insight into this data representation is revealed.

The introductory page for the graph also offers more information about the context for this graph, other content connections, and paired texts for students to explore.

Subject:
Math
Material Type:
Activity/Lab
Homework/Assignment
Lesson
Author:
SlowRevealGraphs.com
Jenna Laib
Date Added:
09/28/2022
Solve Your Math Problem
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Webmath is a math-help web site that generates answers to specific math questions and problems, as entered by a user, at any particular moment. The math answers are generated and displayed real-time, at the moment a web user types in their math problem and clicks "solve." In addition to the answers, Webmath also shows the student how to arrive at the answer.

Subject:
Math
Material Type:
Homework/Assignment
Date Added:
12/07/2018
Solving a Mixed Up Problem
Read the Fine Print
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This is a lesson about using the light from the star during an occultation event to identify the atmosphere of a planet. Learners will add and subtract light curves (presented as a series of geometrical shapes) to understand how this could occur. The activity is part of Project Spectra, a science and engineering program for middle-high school students, focusing on how light is used to explore the Solar System.

Subject:
Math
Science
Material Type:
Activity/Lab
Lesson
Provider:
NASA
Provider Set:
NASA Wavelength
Date Added:
10/05/2018
Solving for Elapsed Time in a Sequence of Events Word Problems
Conditional Remix & Share Permitted
CC BY-NC-SA
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This short video and interactive assessment activity is designed to teach third graders about solving for elapsed time in a sequence of events - word problems.

Subject:
Foundations
Math
Material Type:
Activity/Lab
Lesson
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
05/03/2018