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Modeling Word Problems with Tape Diagrams Grades 3 – 5

Word Problems with. Tape Diagrams. Grades 3 – 5. *** Note: Problems written in italics within the handout will not be solved as part of this session. The problems are in the handout as a reference for participants. An answer key with answers to all problems within the packet will be distributed at the end of the session. *** ...


Introduction to Tape Diagrams

Tape diagrams are visual models that use rectangles to represent the parts of a ratio. Since they are a visual model, drawing them requires attention to detail in the setup. In this problem David and Jason have numbers of marbles in a ratio of 2:3. This ratio is modeled here by drawing 2 rectangles to represent David's portion ...


Lesson 17: Comparing Tape Diagram Solutions to Algebraic Solutions

Lesson Notes. In Lesson 17, students relate their algebraic steps in solving an equation to the steps they take to arrive at the solution arithmetically. They refer back to the use of tape diagrams to conceptually understand the algebraic steps taken to solve an equation. It is not until Lesson 21 that students use the Properties ...


Tape Diagrams

If you do not have tape diagram experience try to solve the problem on using a diagram or algebra. 94 children are in a reading club. One-third of the boys and three-sevenths of the girls prefer fiction. If 36 students prefer fiction, how many girls prefer fiction? Agenda – Tape Diagrams. • Introduction to Tape Diagrams.


Lesson 5: Solving Problems by Finding Equivalent Ratios

two quantities. Students use tape diagrams to find an equivalent ratio when given the part-to-part ratio and the difference between those two quantities. ▫. Students make the connection between the constant, , in the definition of equivalent ratios and the value of the unit in the tape diagram used to solve ratio problems.


The Engage NY Math Parent's Glossary K-5 9 Basic Engage NY

The Engage NY Math Parent's Glossary K-5. 9 Basic Engage NY Terms and Models. Math Term. Picture. Definition. Click the Link ... Tape Diagram. (Grades 1 -5). In the early grades, the tape diagram is used to help students visualize the numbers in their word problems. In the upper grades, tape diagrams are used to help.


Lesson 28: Two-Step Problems—All Operations

Student Outcomes. ▫. Students calculate the solutions of two-step equations by using their knowledge of order of operations and the properties of equality for addition, subtraction, multiplication, and division. Students employ tape diagrams to determine their answers. ▫. Students check to determine if their solutions make the ...


Engage NY in the K-5

Broad range of DOK levels, questioning styles. Animated models: www. learnzillion.com. Some EngageNY-style, some different. Flexible representation of part-part-whole relationships. Any direction. Circles or squares. Foundation for tape diagrams. Foundation for fractions. 4. Model with mathematics. Instructional Model:.

Getting Started with EngageNY Fall 2015 PACKET ppt(4).pdf

Concept Development (30 minutes)

parts, 2 + 3 + 1, to get the whole, which is 6. T: Draw a tape diagram on your boards and use your counters to model the problem. (Model on the board, drawing dots, as students do the same using counters.) T: Now, talk with your partner. How would this model be different if there were equal groups of 2 apples in each bag?


Mathematics Curriculum

Dec 16, 2013 ... reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ...



Lesson 9: Measure lengths of string using measurement tools, and use tape diagrams to represent and compare the lengths. Lesson 10: Apply conceptual understanding of measurement by solving two-step word problems. 3. End-of- Module Assessment: Topics A–D (assessment ½ day, return ½ day, remediation or further ...

G02M02 Full Module 2016.pdf


Aug 1, 2014 ... NYS COMMON CORE MATHEMATICS CURRICULUM. 3•3. Homework. 1. Words matched to corresponding equations. 2. a. m = $42; tape diagram drawn and labeled; equations may vary. b. p = 36; tape diagram drawn and labeled; equations may vary. 3. n = 4; tape diagram drawn and labeled; equations ...



Nov 7, 2014 ... 1. a. Answer provided. b. Tape diagram models number sentence; decompositions will vary. c. Tape diagram models number sentence; decompositions will vary. 2. a. Tape diagram models number sentence; decompositions will vary. b. Tape diagram models number sentence; decompositions will vary. c.


Answer Keys

Jul 19, 2014 ... This work is licensed under a. Creative Commons Attribution-NonCommercial- ShareAlike 3.0 Unported License. 8. Lesson 8. Problem Set. 1. 464; 355. 3. Tape diagram drawn correctly; about 15 kg. 2. a. 78; problem modeled with tape diagram. 4. a. About 3 kg b. 8; problem modeled with tape diagram.



Oct 17, 2014 ... The module culminates with multi-step word problems in Topic F (4.OA.3). Tape diagrams are used throughout the topic to model additive compare problems like the one exemplified below. These diagrams facilitate deeper comprehension and serve as a way to support the reasonableness of an answer.



Jan 31, 2014 ... directly analogous to earlier work with fraction equivalence using the tape diagram, area model, and number line in Topics A, B, and D of Module 5. Students partitioned a whole into 4 equal parts, decomposed 1 part into 3 smaller units and found 1 fourth to be equal to 3 twelfths. The foot ruler is partitioned ...


Multiplication Word Problems

Aug 28, 2013 ... This two-step problem affords students another opportunity to model with tape diagrams. They are required to apply what they have learned about multiplying multi-digit numbers by single digits, as well as practice their subtraction with multiple regrouping skills from Module 1. Encourage students to also ...

Pages from math-g4-m3-topicD.pdf

Full Module

May 23, 2014 ... relationship between multiplication and division. Practice of both operations is combined—this time using units of 4—and a lesson is explicitly dedicated to modeling the connection between them (3.OA.7). Skip-counting, the distributive property, arrays, number bonds, and tape diagrams are tools for both.



RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. 6.RP.3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. 6. RP.3.



Aug 1, 2014 ... Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License . 1. Lesson 11. Problem Set. 1. Standard algorithm, partial products method 2. 774; partial products method used and area model used. 3. 1,868; tape diagram drawn a. 1,700; 400, 20, 5. 4. 35,917 b. 3,738; 500, 30, 4; 7, 500, ...

Module3Answer Key.pdf