Before beginning this routine with the students, view Steve Wyborney’s presentation on …
Before beginning this routine with the students, view Steve Wyborney’s presentation on “Tiled Number Questions.” https://stevewyborney.com/2017/01/tiled-area-questions/ Show slide. Students should have paper copies of the slide to show their thinking/work. Point out to the students that the white square in the bottom left corner is one square unit. Ask the students to identify the area of the shape on the slide. Students will either color in their design to show the area or write in the area of each shape with their pencil Ask students: “Is there any other way to show the area of this design? How many different ways can you show the area? For an added challenge, change the value of the bottom left corner square.
The images on this google slide show are best used in the …
The images on this google slide show are best used in the context of a number talk where children are gathered in a common space and know the routine of sharing thoughts and ideas. Teachers use talk moves to keep the dialogue going among and between student, focusing on mathematical ideas and vocabulary found within the images. The teacher’s role is to facilitate the conversation, allowing a forum for the sharing of important ideas.
This google slide show is to be used as a routine in …
This google slide show is to be used as a routine in grade 4 during the third quarter. Students will be given time to notice and wonder about each slide, with their thinking guided toward geometry. Discussions will promote precise geometry vocabulary and connections between images.
This google slide show is to be used as a routine in …
This google slide show is to be used as a routine in grade 4 during the third quarter. Students will be given time to notice and wonder about each slide, with their thinking guided toward geometry and fractional reasoning. Students will then be asked to find the value of pieces, given the value of one specific piece in the image.
This google slide show organizes place value exercises in a sequence by …
This google slide show organizes place value exercises in a sequence by weeks. Teachers use the slide show with students to promote finding structure and adding and subtracting ones and tens.
In this 25-day module of Grade 4, students extend their work with …
In this 25-day module of Grade 4, students extend their work with whole numbers. They begin with large numbers using familiar units (hundreds and thousands) and develop their understanding of millions by building knowledge of the pattern of times ten in the base ten system on the place value chart (4.NBT.1). They recognize that each sequence of three digits is read as hundreds, tens, and ones followed by the naming of the corresponding base thousand unit (thousand, million, billion).
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
Module 2 uses length, mass and capacity in the metric system to …
Module 2 uses length, mass and capacity in the metric system to convert between units using place value knowledge. Students recognize patterns of converting units on the place value chart, just as 1000 grams is equal 1 kilogram, 1000 ones is equal to 1 thousand. Conversions are recorded in two-column tables and number lines, and are applied in single- and multi-step word problems solved by the addition and subtraction algorithm or a special strategy. Mixed unit practice prepares students for multi-digit operations and manipulating fractional units in future modules.
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.
This 20-day module introduces points, lines, line segments, rays, and angles, as …
This 20-day module introduces points, lines, line segments, rays, and angles, as well as the relationships between them. Students construct, recognize, and define these geometric objects before using their new knowledge and understanding to classify figures and solve problems. With angle measure playing a key role in their work throughout the module, students learn how to create and measure angles, as well as create and solve equations to find unknown angle measures. In these problems, where the unknown angle is represented by a letter, students explore both measuring the unknown angle with a protractor and reasoning through the solving of an equation. Through decomposition and composition activities as well as an exploration of symmetry, students recognize specific attributes present in two-dimensional figures. They further develop their understanding of these attributes as they classify two-dimensional figures based on them.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In this 40-day module, students build on their Grade 3 work with …
In this 40-day module, students build on their Grade 3 work with unit fractions as they explore fraction equivalence and extend this understanding to mixed numbers. This leads to the comparison of fractions and mixed numbers and the representation of both in a variety of models. Benchmark fractions play an important part in students ability to generalize and reason about relative fraction and mixed number sizes. Students then have the opportunity to apply what they know to be true for whole number operations to the new concepts of fraction and mixed number operations.
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 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.
This google slide show will be used by fourth grade teachers with …
This google slide show will be used by fourth grade teachers with their students as a numeracy routine. Students should be given time to notice and wonder about each slide. Students then engage in discourse to discuss the mathematics found in the images.
This google slide show will be used by fourth grade teachers with …
This google slide show will be used by fourth grade teachers with their students as a numeracy routine. Students should be given time to notice and wonder about each slide. Students then engage in discourse to find what is the same and different mathematically about the given images.
This google slide show will be used by fourth grade teachers with …
This google slide show will be used by fourth grade teachers with their students as a numeracy routine. Students should be given time to notice and wonder about each slide. Students then engage in discourse to find what part of the whole is behind the "splat".
This google slide show organizes "Who Am I?" number puzzles in a …
This google slide show organizes "Who Am I?" number puzzles in a sequence by weeks. Puzzles are online and linked to this slide show. Teachers can use these with students to promote number sense and precise mathematical vocabulary.
This google slide show organizes "Would You Rather?" questions in a sequence …
This google slide show organizes "Would You Rather?" questions in a sequence by weeks. Teachers can use these with students to promote number sense and precise mathematical vocabulary. Students will construct viable arguments and discuss their choices mathematically.
In Module 1, students’ understanding of the patterns in the base ten …
In Module 1, students’ understanding of the patterns in the base ten system are extended from Grade 4’s work with place value of multi-digit whole numbers and decimals to hundredths to the thousandths place. In Grade 5, students deepen their knowledge through a more generalized understanding of the relationships between and among adjacent places on the place value chart, e.g., 1 tenth times any digit on the place value chart moves it one place value to the right. Toward the module’s end students apply these new understandings as they reason about and perform decimal operations through the hundredths place.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In Module 2 students apply patterns of the base ten system to …
In Module 2 students apply patterns of the base ten system to mental strategies and a sequential study of multiplication via area diagrams and the distributive property leading to fluency with the standard algorithm. Students move from whole numbers to multiplication with decimals, again using place value as a guide to reason and make estimations about products. Multiplication is explored as a method for expressing equivalent measures in both whole number and decimal forms. A similar sequence for division begins concretely with number disks as an introduction to division with multi-digit divisors and leads student to divide multi-digit whole number and decimal dividends by two-digit divisors using a vertical written method. In addition, students evaluate and write expressions, recording their calculations using the associative property and parentheses. Students apply the work of the module to solve multi-step word problems using multi-digit multiplication and division with unknowns representing either the group size or number of groups. An emphasis on the reasonableness of both products and quotients, interpretation of remainders and reasoning about the placement of decimals draws on skills learned throughout the module, including refining knowledge of place value, rounding, and estimation.
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.
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