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This resource is intended to be shared with families after Counting Collections have been introduced at school.  Parents/guardians can be given this at a Family Math Night, shared electronically or by paper.  This is an overview of Counting Collections with tips on how to replicate this learning experience at home.

Subject:
Numbers and Operations
Material Type:
Author:
Nanci Foster
Aubree Foster
05/22/2024
Conditional Remix & Share Permitted
CC BY-NC-SA
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Students who work on this task will benefit in seeing that given a quantity, there is often more than one way to represent it, which is a precursor to understanding the concept of equivalent expressions.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/01/2012
Conditional Remix & Share Permitted
CC BY-NC
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Students who work on this task will benefit in seeing that given a quantity, there is often more than one way to represent it, which is a precursor to understanding the concept of equivalent expressions.

Subject:
Numbers and Operations
Material Type:
Lesson Plan
Author:
Samuel Shackleford
05/31/2018
Conditional Remix & Share Permitted
CC BY-NC-SA
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This is an instructional task related to deepening place-value concepts. The important piece of knowledge upon which students need to draw is that 10 tens is 1 hundred.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/01/2012
Read the Fine Print
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Okta challenges you to a duel! That crazy octopus wants to play you in a game where the first person to choose cards with a specified sum wins. You can choose how many cards, what types of numbers, and Okta's level of strategy.

Subject:
Mathematics
Numbers and Operations
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
11/05/2000
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help you assess whether students recognize relationships of direct proportion and how well they solve problems that involve proportional reasoning. In particular, it is intended to help you identify those students who: use inappropriate additive strategies in scaling problems, which have a multiplicative structure; rely on piecemeal and inefficient strategies such as doubling, halving, and decomposition, and have not developed a single multiplier strategy for solving proportionality problems; and see multiplication as making numbers bigger, and division as making numbers smaller.

Subject:
Mathematics
Numbers and Operations
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
11/01/2017
Conditional Remix & Share Permitted
CC BY-NC-SA
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This task requires students to think of dimes and pennies as fractions of dollars.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Institute for Mathematics & Education funded by the Bill & Melinda Gates Foundation
05/01/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
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This task requires students to recognize both "number of groups unknown" and "group size unknown" division problems in the context of a whole number divided by a unit fraction.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/01/2012
Read the Fine Print
Educational Use
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Students gain an understanding of the factors that affect wind turbine operation. Following the steps of the engineering design process, engineering teams use simple materials (cardboard and wooden dowels) to build and test their own turbine blade prototypes with the objective of maximizing electrical power output for a hypothetical situation—helping scientists power their electrical devices while doing research on a remote island. Teams explore how blade size, shape, weight and rotation interact to achieve maximal performance, and relate the power generated to energy consumed on a scale that is relevant to them in daily life. A PowerPoint® presentation, worksheet and post-activity test are provided.

Subject:
Career and Technical Education
Mathematics
Measurement and Data
Numbers and Operations
Physical Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Alexander Kon
RESOURCE GK-12 Program, College of Engineering, University of California Davis
10/13/2017
Unrestricted Use
CC BY
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How many dots will be on the screen after the last bell? Through the use of videos and a couple of helpful clues, students are challenged to use counting, patterns, and algebraic thinking to determine how many dots (and even what colors!) will be on the screen (covered in the first Act) after the last bell.

Subject:
Algebra
Education
Educational Technology
Mathematics
Numbers and Operations
Material Type:
Author:
Graham Fletcher
01/06/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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One goal of this task is to help students develop comfort and ease with adding fractions with unlike denominators. Another goal is to help them develop fraction number sense by having students decompose fractions. Because the Egyptians represented fractions differently than we do, it can also help students understand that there can be many ways of representing the same number.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
08/09/2012
Conditional Remix & Share Permitted
CC BY-NC-SA
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Through the use of folding paper strips into equal size pieces students can apply their understanding that the numerator represents the parts of the whole (i.e., how many of the parts are being considered).Begin with unit fraction which are fractions with a numerator of 1. Students will understand the following concepts, symbols, and vocabulary: numerator, fraction, equal parts.

I used this resource as a part of my math intervention of seventh graders to show conceptually that a fraction must be of equal size parts. This activity does a nice job of explaining the showing the process. This was a bit long for my math intervention, but I completed a modified version over several sessions.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Author:
NCSC Wiki
04/21/2018
Conditional Remix & Share Permitted
CC BY-NC-SA
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Students will be using real-life energy use data to learn how to use spreadsheets and create graphs to better organize and view data. Discussions can then follow to analyze the data and explain the usage. Real rates are then provided, and students can use the electricity consumed data to create a utility bill for the consumer and compare the standard Residential Service charges to if the member were instead billed by the “Time of Use” rate.

Subject:
Mathematics
Measurement and Data
Numbers and Operations
Material Type:
Activity/Lab
Data Set
Lesson Plan
Primary Source
Author:
Sierra Erdmann