Try the full EXPLODING DOTS experience! This is a really great deeper learning activity for students.
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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 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 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 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.
Grade 7 Math reflections, Outcome Reflections and evaluations. Math Makes Sense
Multiplying Fractions Smartnotebook document.
This task requires students to think about and compare fractions.
This task involves fraction multiplication that can be solved with pictures or number lines.
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.
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.
This task requires students to add tenths and hundredths.
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 understandings of the meaning of fractions as students progress through them.
This task addresses the division problem 4Ö1/3.
This task provides a context for performing division of a whole number by a unit fraction. This problem is a "How many groups?'' example of division.
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For Grades 3-12 & ungraduate.
The purpose of this task is to present students with a situation where it is natural to add fraction with unlike denominators; it can be used for either assessment or instructional purposes.
The purpose of this task is to present students with a context where they need to explain why two simple fractions are equivalent.
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Grades K-9 + Algebra & Geometry.
Jumbo Math Worksheets Pack