Module 1 of the Kindergarten curriculum in A Story of Units. In …
Module 1 of the Kindergarten curriculum in A Story of Units. In Topics A and B, classification activities allow students to analyze and observe their world and articulate their observations. Reasoning and dialogue begin immediately. In Topics C, D, E, and F, students order, count, and write up to ten objects to answer how many? questions from linear, to array, to circular, and finally to scattered configurations wherein they must devise a path through the objects as they count. In Topics G and H, students use their understanding of relationships between numbers and know that each successive number name refers to a quantity that is one greater and that the number before is one less.
This is a challenging fraction comparison problem. The fractions for this task …
This is a challenging fraction comparison problem. The fractions for this task have been carefully chosen to encourage and reward different methods of comparison.
In this number line task students must treat the interval from 0 …
In this number line task students must treat the interval from 0 to 1 as a whole, partition the whole into the appropriate number of equal sized parts, and then locate the fraction(s).
In this blog post and the included lesson plan, Graham Fletcher and …
In this blog post and the included lesson plan, Graham Fletcher and Joe Schwartz explore thinking conceptually about the standard division algorithm. In his lesson, Joe Schwartz scaffolds long division using tape diagrams.
This short video and interactive assessment activity is designed to teach fifth …
This short video and interactive assessment activity is designed to teach fifth graders about multiple rounds of division - long division word problems.
The purpose of this task is for students to compare two options …
The purpose of this task is for students to compare two options for a prize where the value of one is given $2 at a time, giving them an opportunity to "work with equal groups of objects to gain foundations for multiplication." This context also provides students with an introduction to the concept of delayed gratification, or resisting an immediate reward and waiting for a later reward, while working with money.
This resource may be used by any instructor teaching a similar introductory …
This resource may be used by any instructor teaching a similar introductory quantitative decision course.Course topics include: basic math and algebra review, trade discounts & cash discounts & markup/markdown, simple interest, review of linear systems and graphing, cost-volume-profit analysis & break-even, linear programming models, compount interest, annuities, and data visualization.Video links are spread throughout the PowerPoint slides and may be used, or removed, at the discretion of the instructor.
This resource may be used by any instructor teaching a similar introductory …
This resource may be used by any instructor teaching a similar introductory quantitative decision course.Course topics include: basic math and algebra review, trade discounts & cash discounts & markup/markdown, simple interest, review of linear systems and graphing, cost-volume-profit analysis & break-even, linear programming models, compound interest, annuities, and data visualization.The attached files contain practice questions and solutions.
A survey course of discrete mathematics for non-physical science majors. Topics include …
A survey course of discrete mathematics for non-physical science majors. Topics include systems of inequalities, linear programming, probability and probability distributions, and an introduction to descriptive statistics. The course emphasizes problem solving through the use of computer spreadsheets.
This task is a straightforward task related to adding fractions with the …
This task is a straightforward task related to adding fractions with the same denominator. The main purpose is to emphasize that there are many ways to decompose a fraction as a sum of fractions, similar to decompositions of whole numbers that students should have seen in earlier grades.
This tasks lends itself very well to multiple solution methods. Students may …
This tasks lends itself very well to multiple solution methods. Students may learn a lot by comparing different methods. Students who are already comfortable with fraction multiplication can go straight to the numeric solutions given below. Students who are still unsure of the meanings of these operations can draw pictures or diagrams.
The purpose of this instructional task is to motivate a discussion about …
The purpose of this instructional task is to motivate a discussion about adding fractions and the meaning of the common denominator. The different parts of the task have students moving back and forth between the abstract representation of the fractions and the meaning of the fractions in the context.
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