This resource requires students to present the solution to a multi-step problem in the form of valid chains of reasoning, using symbols appropriately. Students must use the four operations with whole numbers to solve problems.

This resource requires students to present the solution to a multi-step problem in the form of valid chains of reasoning, using symbols appropriately. Students must use the four operations with whole numbers to solve problems.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Make a list of the first ten multiples of 3. Which of the numbers in your list are multiples of 6? What pattern do you see in where the multiples of 6 ...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Stating with 9, list the first 10 multiples of 9. In the list in part (a) what patterns do you see with the digits in the 10's place? What patterns do ...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The table below shows all the products of pairs of numbers between 1 and 9. Which numbers appear only once in the table of products? Where are these nu...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The 20 students in Mr. Wolf's 4th grade class are playing a game in a hallway that is lined with 20 lockers in a row. The first student starts with the...

On field, students have to image a given asteroid on two consecutive nights, producing two sets of images obtained over 10-15 minutes, each set separated by about 4-5 hours. In class, students have to process the images in order to measure the observed diurnal parallax and then determine the corresponding asteroid distance.

In the ancient Middle East, many great civilizations rose and fell. The religions of Judaism, Christianity, and Islam each trace their origins back to this part of the world. All of these civilizations arose in the area known as the Fertile Crescent. The Fertile Crescent stretches from the Mediterranean Sea in the west to the Zagros Mountains in the east. It is bordered in the north by the Taurus Mountains and in the south by the Persian Gulf and the Arabian Desert. Its shape resembles a crescent moon.

Americans have often prided themselves on their rich diversity. Nowhere was that diversity more evident in pre-Revolutionary America than in the middle colonies of Pennsylvania, New York, New Jersey, and Delaware.

Located in what the ancient Greeks called Mesopotamia, which literally means "the land between the rivers," Sumer was a collection of city-states that occupied the southernmost portion of Mesopotamia. Most were situated along the Tigris and Euphrates Rivers, lying just north of the Persian Gulf.

England was not the first European power to settle the land known now as New York. That distinction belongs to the Dutch.

The Babylonians used the innovations of the Sumerians, added to them, and built an empire that gave the world, among other things, codified laws, a tower that soared above the earth, and one of the Seven Wonders of the World.

William Penn, founder of Pennsylvania ("Penn's Woods") and planner of Philadelphia, established a very liberal government by 17th century standards. Religious freedom and good relations with Native Americans were two keystones of Penn's style.

William Penn had a distaste for cities. His colony, Pennsylvania, would need a capital that would not bring the horrors of European urban life to the shores of his New World experiment. Penn determined to design and to administer the city himself to prevent such an occurrence.

Much of Assyria's history is closely tied to its southern neighbor, Babylonia. The two Mesopotamian empires spoke similar languages and worshipped most of the same gods. They were often rivals on the battlefield for influence in the ancient Middle East.

Ben Franklin was born in 1706 in colonial Boston. Apprenticed to his brother, a printer, young Ben ran away to Philadelphia when he was seventeen. The next twenty-five years of his life he made a fortune out of the three pennies he had carried with him to the city.

To understand the life and death of Jesus and the birth of Christianity, one must understand the context of the Roman Empire. Jesus was a Jew, as were almost all of his early followers.

Powerpoint presentation (16 Slides) to introduce the concept of boundaries for teaching about maps.

This unit is basically chapter 5 in our Math Expressions curriculum.  If your district uses Math Expressions, then this unit will make a lot of sense to you.  If you don't have Math Expressions, this unit can still help guide you through teaching your kids meausurement using customary and metric systems.

These set of questions were designed for 4th grade students to use in a study about the Consitution.