Students learn about matrix multiplication. Topics examined are identity matrices and properties …
Students learn about matrix multiplication. Topics examined are identity matrices and properties of matrix multiplication. The tutorial consists of class notes, examples, and practice problems. Review exercises and a chapter quiz are included.
In this Cyberchase video segment, the CyberSquad finds the right combination switch, …
In this Cyberchase video segment, the CyberSquad finds the right combination switch, lever and button that will deactivate the force field protecting the stolen Black Crystal.
The first of these word problems is a multiplication problem involving equal-sized …
The first of these word problems is a multiplication problem involving equal-sized groups. The next two reflect the two related division problems, namely, "How many groups?" and "How many in each group?"
The purpose of this task is to show three problems that are …
The purpose of this task is to show three problems that are set in the same kind of context, but the first is a straightforward multiplication problem while the other two are the corresponding "How many groups?" and "How many in each group?" division problems.
Module 6 lays the conceptual foundation for multiplication and division in Grade …
Module 6 lays the conceptual foundation for multiplication and division in Grade 3 and for the idea that numbers other than 1, 10, and 100 can serve as units. Topics in this module include: Formation of Equal Groups, Arrays and Equal Groups, Rectangular Arrays as a Foundation for Multiplication and Division, and The Meaning of Even and Odd Numbers.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
This 25-day module builds directly on students work with multiplication and division …
This 25-day module builds directly on students work with multiplication and division in Module 1. Module 3 extends the study of factors from 2, 3, 4, 5, and 10 to include all units from 0 to 10, as well as multiples of 10 within 100. Similar to the organization of Module 1, the introduction of new factors in Module 3 spreads across topics. This allows students to build fluency with facts involving a particular unit before moving on. The factors are sequenced to facilitate systematic instruction with increasingly sophisticated strategies and patterns.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In this 43-day module, students use place value understanding and visual representations …
In this 43-day module, students use place value understanding and visual representations to solve multiplication and division problems with multi-digit numbers. As a key area of focus for Grade 4, this module moves slowly but comprehensively to develop students ability to reason about the methods and models chosen to solve problems with multi-digit factors and dividends.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In this 20-day module, students build their competencies in measurement as they …
In this 20-day module, students build their competencies in measurement as they relate multiplication to the conversion of measurement units. Throughout the module, students will explore multiple strategies for solving measurement problems involving unit conversion.
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.
In this 25-day module, students work with two- and three-dimensional figures. Volume …
In this 25-day module, students work with two- and three-dimensional figures. Volume is introduced to students through concrete exploration of cubic units and culminates with the development of the volume formula for right rectangular prisms. The second half of the module turns to extending students understanding of two-dimensional figures. Students combine prior knowledge of area with newly acquired knowledge of fraction multiplication to determine the area of rectangular figures with fractional side lengths. They then engage in hands-on construction of two-dimensional shapes, developing a foundation for classifying the shapes by reasoning about their attributes. This module fills a gap between Grade 4s work with two-dimensional figures and Grade 6s work with volume and area.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
This short video and interactive assessment activity is designed to teach fourth …
This short video and interactive assessment activity is designed to teach fourth graders about finding the total number: given remainder and number needed.
This short video and interactive assessment activity is designed to teach fourth …
This short video and interactive assessment activity is designed to teach fourth graders about multiple rounds of multiplication - multiplying 3 digits by 1 digit.
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