This page will give an overview of 4th grade math at Green Hills School. Described below are the focus of study for the year, the mathematical practices and a list of the units of study.

Focus

The major work of math in Grade 4 will focus on these areas:

• Use the four operations with whole numbers to solve problems.
• Build conceptual place value understanding for whole, multi-digit numbers.
• Use place value understanding, area models and properties of operations to perform multiplication up to compute products of one-digit numbers and multi-digit numbers (up to 4 digits) and products of two digits by two digits. Fluent multiplication using the standard algorithm is expected to be mastered in 5th grade.
• Use place value understanding and properties of operations to perform division of multi-digit numbers (up to four digits) by one-digit numbers. Long division only done using the standard algorithm is expected to be mastered in 7th grade.
• Extend understanding of fraction equivalence and ordering from concepts introduced in 3rd grade. 
• Build fractions from unit fractions by applying and extending previous understandings of operations with whole numbers using strategies that don't expire.
• Develop an understanding of decimal notation for fractions (e.g. 1/10 = 0.1) and compare decimal fractions.

Additional work will be in these areas and infused throughout the modules:

• Develop concepts with factors and multiples as foundations for Algebra.
• Analyze patterns and make generalizations.
• Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. 
• Represent and interpret data. 
• Geometric measurement: Understand concepts of angle and measuring angles.
• Draw and identify lines and angles, and classify shapes by properties of their lines and angles.   

We want our students to be great problem solvers and have many strategies to solve math problems. In class, the children will learn a variety of instructional strategies that will become foundational for work from grades 1 - 5. Resources will be added to this page to help you assist your child at home. 

"Procedural fluency is the ability to apply procedures accurately, efficiently, and flexibly; to transfer procedures to different problems and contexts; to build or modify procedures from other procedures; and to recognize when one strategy or procedure is more appropriate to apply than another." National Council of Teachers of Mathematics 

By the end of Grade 4 , a goal is for students to fluently add & subtract within 1,000,000 using a standard algorithm. We are also looking for students to be strong with addition and subtraction of decimal fractions (concepts, skills and problem solving with fraction that are less than one). Parents can help at home by continuing to help students practice multiplication and division facts up to 12. Fluency in this area is an important step for Grade 5 as the students will look to master fraction operations of addition, subtraction and multiplication for numbers less than and greater than one. 

Mathematical Practices

In addition to the work with skills, procedures and problem solving, students spend time in class working on the mathematical practices. These practices are based on the National Council of Teachers of Mathematics research. Teachers are helping students become strong mathematicians through these processes. 

MP1: Make sense of problems and persevere in solving them.
MP2: Be able to reason abstractly and quantitatively.
MP3: Construct or build viable arguments (proofs) and critique the reasoning of others at an age appropriate level.
MP4: Create mathematical models from real world situations.
MP5: Use appropriate tools strategically, like pencil and paper, calculators, number lines, tape diagrams, etc. to help solve problems in flexible ways.
MP6: Attend to precision in their answers and interpretations of their answers in context.
MP7: Look for and make use of the structure of patterns, equations and expressions to help solve more challenging problems.
MP8: Look for and express regularity in repeated reasoning. 

Units of Study

Eureka Math is comprised of units called Modules. The modules build on each other, creating a unified sequence of topics to help build student understanding and the development of computation skills and the ability to reason mathematically. A lot of time is spent on building conceptual understanding, meaning we spend a lot of time with models such as drawings and objects, in order to build a strong foundation of understanding how math works, not just how to solve quick addition or subtraction equations.  

Module 1: Place Value, Rounding and Algorithms for Addition & Subtraction
Module 2: Unit Conversions and Problem Solving with Metric Measurements
Module 3: Multi-Digit Multiplication & Division
Module 4: Angle Measure and Plane Figures 
Module 5: Fraction Equivalence, Ordering & Operations
Module 6: Decimal Fractions
Module 7: Exploring Measurement with Multiplication