Students will explore the concepts of place value using their bodies as tools. They will time themselves performing various kinesthetic tasks like jumping jacks and sit ups and use the numbers that they record from these activities in their exploration. Working in groups, they will practice adding and subtracting and comparing numbers. They will also come up with creative ways to represent numbers using the properties of operation and the rules of place value.

This resource was created by Denise Stevenson, in collaboration with Lynn Bowder, as part of ESU2's Mastering the Arts project. This project is a four year initiative focused on integrating arts into the core curriculum through teacher education and experiential learning.

This short video and interactive assessment activity is designed to teach fourth graders about forming largest and smallest numbers (includes even and odd).

Module 4 builds upon Module 2’s work with place value within 20, now focusing on the role of place value in the addition and subtraction of numbers to 40.  Students study, organize, and manipulate numbers within 40.  They compare quantities and begin using the symbols for greater than (>) and less than (<).  Addition and subtraction of tens is another focus of this module as is the use of familiar strategies to add two-digit and single-digit numbers within 40.  Near the end of the module, the focus moves to new ways to represent larger quantities and adding like place value units as students add two-digit numbers.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Module 1 sets the foundation for students to master the sums and differences to 20 and to  subsequently apply these skills to fluently add one-digit to two-digit numbers at least through 100 using place value understandings, properties of operations and the relationship between addition and subtraction.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

In this 12-day Grade 2 module, students engage in activities designed to deepen their conceptual understanding of measurement and to relate addition and subtraction to length.  Their work in Module 2 is exclusively with metric units in order to support place value concepts.  Customary units will be introduced in Module 7.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

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.

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.

This short video and interactive assessment activity is designed to teach third graders about forming largest and smallest numbers (even and odd).

This short video and interactive assessment activity is designed to teach fourth graders about forming the largest or smallest possible number.

This task gives children an opportunity to subtract a three-digit number including a zero that requires regrouping. The solutions show how students can solve this problem before they have learned the traditional algorithm.

This short video and interactive assessment activity is designed to teach fourth graders about calculating quotients (numbers up to 100,000).

This word problems helps students learn to build the biggest three-digit number given any three numbers between 0 and 9 to use as digits.

In this lesson, students will develop fluency for splitting numbers into tens and ones by applying the concept to the concrete example of leaves on plants.

This task is for students who know how to use base 10 blocks.

This is a three-credit course which covers topics that enhance the students’ problem solving abilities, knowledge of the basic principles of probability/statistics, and guides students to master critical thinking/logic skills, geometric principles, personal finance skills. This course requires that students apply their knowledge to real-world problems. A TI-84 or comparable calculator is required. The course has four main units: Thinking Algebraically, Thinking Logically and Geometrically, Thinking Statistically, and Making Connections. This course is paired with a course in MyOpenMath which contains the instructor materials (including answer keys) and online homework system with immediate feedback. All course materials are licensed by CC-BY-SA unless otherwise noted.

Basic Algebra Operations Notes:Place Value and RoundingIntegers and DecimalsFractions, Decimals, and PercentsFractionsProportionsExponentsAlgebraic Expressions

This short video and interactive assessment activity is designed to teach third graders about mixed review (numbers up to 100,000).