Compare fractions (halves, quarters, eighths) that make up a whole by drawing …
Compare fractions (halves, quarters, eighths) that make up a whole by drawing toppings on pizzas and cutting the pizzas into slices!
Visit Gabby's pizza shop to help Adi take pizza orders from customers. Viewers learn fractions that make up a whole by drawing pizza toppings in halves and quarters and cutting the pizzas into one eighth slices.
Learning Objective: To partition objects into equal parts and name the parts, including halves, fourths, and eighths, using words.
In Module 8, the final module of the year, students extend their …
In Module 8, the final module of the year, students extend their understanding of partwhole relationships through the lens of geometry. As students compose and decompose shapes, they begin to develop an understanding of unit fractions as equal parts of a whole.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
This 20-day module gives students their first opportunity to explore decimal numbers …
This 20-day module gives students their first opportunity to explore decimal numbers via their relationship to decimal fractions, expressing a given quantity in both fraction and decimal forms. Utilizing the understanding of fractions developed throughout Module 5, students apply the same reasoning to decimal numbers, building a solid foundation for Grade 5 work with decimal operations.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In Module 3, students' understanding of addition and subtraction of fractions extends …
In Module 3, students' understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals. This module marks a significant shift away from the elementary grades' centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward, especially as applied to algebra.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
Grade 5s Module 4 extends student understanding of fraction operations to multiplication …
Grade 5s Module 4 extends student understanding of fraction operations to multiplication and division of both fractions and decimal fractions. Work proceeds from interpretation of line plots which include fractional measurements to interpreting fractions as division and reasoning about finding fractions of sets through fraction by whole number multiplication. The module proceeds to fraction by fraction multiplication in both fraction and decimal forms. An understanding of multiplication as scaling and multiplication by n/n as multiplication by 1 allows students to reason about products and convert fractions to decimals and vice versa. Students are introduced to the work of division with fractions and decimal fractions. Division cases are limited to division of whole numbers by unit fractions and unit fractions by whole numbers. Decimal fraction divisors are introduced and equivalent fraction and place value thinking allow student to reason about the size of quotients, calculate quotients and sensibly place decimals in quotients. Throughout the module students are asked to reason about these important concepts by interpreting numerical expressions which include fraction and decimal operations and by persevering in solving real-world, multistep problems which include all fraction operations supported by the use of tape diagrams.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
Student facing mathematics units. Covers area and surface area, ratios, dividing fractions, …
Student facing mathematics units. Covers area and surface area, ratios, dividing fractions, arithmetic in base ten, expressions and equations, rational numbers, and data sets/distributions.
Students will be practicing and review the concepts of greatest common factor. …
Students will be practicing and review the concepts of greatest common factor. This is a great tool to use before a test or to give the students extra practice.
Using the fundamentals of set theory, explore the mind-bending concept of the …
Using the fundamentals of set theory, explore the mind-bending concept of the "infinity of infinities" -- and how it led mathematicians to conclude that math itself contains unanswerable questions.
In this classic hands-on activity, learners estimate the length of a molecule …
In this classic hands-on activity, learners estimate the length of a molecule by floating a fatty acid (oleic acid) on water. This lab asks learners to record measurements and make calculations related to volume, diameter, area, and height. Learners also convert meters into nanometers. Includes teacher and student worksheets but lacks in depth procedure information. The author suggests educators search the web for more complete lab instructions.
These two fraction division tasks use the same context and ask ŇHow …
These two fraction division tasks use the same context and ask ŇHow much in one group?Ó but require students to divide the fractions in the opposite order. Students struggle to understand which order one should divide in a fraction division context, and these two tasks give them an opportunity to think carefully about the meaning of fraction division.
The purpose of this task is to help students see the connection …
The purpose of this task is to help students see the connection between aÖb and ab in a particular concrete example. The relationship between the division problem 3Ö8 and the fraction 3/8 is actually very subtle.
These problems are meant to be a progression which require more sophisticated …
These problems are meant to be a progression which require more sophisticated understandings of the meaning of fractions as students progress through them.
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