# Curriculum for Grade 4

## Driven by Pedagogy, Supported by Technology (and not vice versa),

Happy Numbers will make your math centers deliver results.

### MODULE 1. Place Value, Rounding, and Algorithms for Addition and Subtraction

Students work with whole numbers to 1,000,000 using number disks and the place value chart. They develop understanding of magnitudes of 10, as well as how multiplication and division relate to place value. Students also master the skill of recording large numbers, both in standard form with the appropriate commas and in expanded form.

A. Relate tens to hundreds to thousands by magnitudes of 10 (Part 1)B. Relate tens to hundreds to thousands by magnitudes of 10 (Part 2)C. Exchange disks into the millions using a place value chartD. Multiply to show powers of 10 on a place value chartE. Complete multiplication expressions based on powers of 10F. Arrange place value labels in orderG. Divide to show powers of 10 on a place value chartH. Complete division expressions based on powers of 10I. Represent values of disks as numbers in standard form with commasJ. Identify comma placement in numbers to one millionK. Convert numbers from standard form to expanded formL. Identify the value of a digit in a given number

Students work with numbers in the thousands, ten thousands, and hundred thousands. Building upon previous knowledge, such as use of inequality symbols, they deepen their understanding of how to compare large numbers to several place values or numbers of different place value. As part of this understanding, they build their fluency in the base-10 system by finding 1,000, 10,000 and 100,000 more or less than a number.

A. Compare numbers in a place value chart (at their highest place value)B. Compare numbers in a place value chart (at a place value other than their highest)C. Compare numbers in a place value chart (at different place values)D. Complete inequalities comparing multi-digit numbersE. Order numbers in ascending and descending order using < and > (Part 1)F. Order numbers in ascending and descending order using < and > (Part 2)G. Order numbers in ascending and descending order using < and > (Part 3)H. Determine 1,000 more or less than a number using a place value chartI. Determine 10,000 more or less than a number using a place value chartJ. Determine 100,000 more or less than a number using a place value chartK. Complete a statement comparing numbers with and without a place value chart (1,000 or 10,000 more or less)L. Determine 1,000/10,000/100,000 more or less than a given numberM. Order numbers in a pattern increasing or decreasing by 1,000 or 10,000 (Level 1)N. Order numbers in a pattern increasing or decreasing by 1,000 or 10,000 (Level 2)

Using a number line to provide context, students first determine the midway point between two multi-digit numbers. They then progress to rounding using the number line and the midway point. Finally, students round 4-, 5-, and 6-digit numbers to any given place value without use of the number line.

A. Determine the number that is halfway between two 4-digit numbers using a number lineB. Round a 4-, 5-, or 6-digit number to its highest place value using a number lineC. Round a 5- or 6-digit number to the thousands or ten thousands place using a number lineD. Round a multi-digit number to a given place valueE. Round a 6-digit number to various place values

Students use column addition to add multi-digit numbers. They begin with the support of a disk model to illustrate the underlying concepts. They learn to record addition problems as column addition, how to regroup and record this action, how to line up numbers of varying length, and how to regroup to a place value higher than the original numbers.

A. Add two 4-digit numbers with and without regrouping in one place using a disk modelB. Add two 4-digit numbers with and without regrouping in two places using column addition and a disk modelC. Add multi-digit numbers with regrouping in multiple places using column additionD. Add multi-digit numbers using the standard algorithm