Eureka Math Online Learning

Grade 3 Module 1: Properties of Multiplication and Division and Solving Problems

• • Students begin 3rd grade REACH math with an overview of the Properties of Multiplication and Division.

Grade 4 Module 1: Place value, rounding, and algorithms for addition and subtraction

• Parent Tip Sheet - Grade 4 Module 1

  • After the study of mathematical properties in Grade 3 Module 1, 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. 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).

Grade 4 Module 3: Multi-digit multiplication and division

• Parent Tip Sheet - Grade 4 Module 3

  • This 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.

Grade 4 Module 4: Angle measure and plane figures

• Parent Tip Sheet - Grade 4 Module 4

This 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.

Grade 4 Module 5: Fraction equivalence, ordering, and operations

Parent Tip Sheet - Grade 4 Module 5

• In this module, students build on their knowledge of 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.

Grade 4 Module 2: Unit Conversions and Metric Measurement

• Parent Tip Sheet - Grade 4 Module 2

In this unit, we use length, mass, and capacity in the metric system to convert between units using place value knowledge. We will explore the patterns in the place value system through metric unit conversions, and will use mixed unit conversions to prepare for fraction and decimal operations to come.

Grade 4 Module 6: Decimal fractions

• Parent Tip Sheet - Grade 4 Module 6

  • This 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 4th Grade REACH work with decimal operations.

Grade 4 Module 7: Exploring Measurement with Multiplication

• Parent Tip Sheet - Grade 4 Module 7

• In this final module of Grade 4, students build their competencies in measurement as they relate multiplication to the conversion of measurement units. Throughout the module, students explore multiple strategies for solving measurement problems using unit conversion.