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College Technical Math 1A (NWTC)
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CC BY-SA
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This college technical math textbook has been edited to cover the topics of operations with real numbers, working with and converting measurements, solving equations, using percents, using proportions and variation, graphing linear equations, geometry basics, trigonometry basics, and vectors.

Subject:
Algebra
Geometry
Mathematics
Measurement and Data
Numbers and Operations
Ratios and Proportions
Trigonometry
Material Type:
Textbook
Author:
Rachel Johnson
Date Added:
01/19/2024
Comparing Fractions
Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this task is for students to compare fractions using common numerators and common denominators and to recognize equivalent fractions.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/15/2012
Comparing Fractions
Conditional Remix & Share Permitted
CC BY-NC-SA
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This lesson was used with a tier 3 fourth grade intervention math group to help students understand how to compare fractions with like and unlike denominators. In addition, this promotes conceptual understanding of equal size wholes.

Subject:
Mathematics
Numbers and Operations
Material Type:
Learning Task
Author:
Helping With Math
Date Added:
04/21/2018
Comparing Fractions with a Different Whole
Conditional Remix & Share Permitted
CC BY-NC-SA
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This task is meant to address a common error that students make, namely, that they represent fractions with different wholes when they need to compare them. This task is meant to generate classroom discussion related to comparing fractions. Particularly important is that students understand that when you compare fractions, you implicitly always have the same whole.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/10/2012
Comparing Growth, Variation 1
Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this task is to foster a classroom discussion that will highlight the difference between multiplicative and additive reasoning.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Comparing Growth, Variation 2
Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this task is to assess studentsŐ understanding of multiplicative and additive reasoning.

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
Date Added:
05/01/2012
Comparing Products
Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this task is to generate a classroom discussion that helps students synthesize what they have learned about multiplication in previous grades.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/13/2012
Comparing Sums of Unit Fractions
Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this task is to help develop students' understanding of addition of fractions; it is intended as an instructional task.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
10/22/2012
Comparing Two Different Pizzas
Conditional Remix & Share Permitted
CC BY-NC-SA
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The focus of this task is on understanding that fractions, in an explicit context, are fractions of a specific whole. In this problem there are three different wholes: the medium pizza, the large pizza, and the two pizzas taken together.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/09/2012
Comparing a Number and a Product
Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this task is for students to compare a number and its product with other numbers that are greater than and less than one.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Comparisons 1
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this task students are required to compare numbers that are identified by word names and not just digits. The order of the numbers described in words are intentionally placed in a different order than their base-ten counterparts so that students need to think carefully about the value of the numbers.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Comparisons 2
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this task students are required to compare numbers that are identified by word names and not just digits. The order of the numbers described in words are intentionally placed in a different order than their base-ten counterparts so that students need to think carefully about the value of the numbers.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Connor and Makayla Discuss Multiplication
Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this task is to have students think about the meaning of multiplying a number by a fraction, and to use this understanding of fraction multiplication to make sense of the commutative property of multiplication in the case of fractions.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
07/14/2012
Converting Fractions of a Unit into a Smaller Unit
Conditional Remix & Share Permitted
CC BY-NC-SA
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This task gives students word problems with a given a set of a specified size and a specified number of subsets. The questions ask the student to find out the size of each of the subsets.

Subject:
Mathematics
Measurement and Data
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Cookie Monster
Unrestricted Use
CC BY
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How many cookies did the Cookie Monster eat? This 3 Act Task by Graham Fletcher begins with a short portion of a video with Cookie Monster eating cookies. First students make observations and estimates to begin determining how many cookies the puppet ate. Students can then use pictures of the cookie label package, a full package of cookies, and the remaining cookies after the puppet ate some. Students are estimating, adding, and subtracting within 50 to determine the number of cookies the Cookie Monster ate.

Subject:
Mathematics
Numbers and Operations
Material Type:
Formative Assessment
Learning Task
Author:
Graham Fletcher
Date Added:
01/11/2019
Counting Dots in Arrays
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
Date Added:
05/01/2012