Standard #: MAFS.6.NS.3.6 (Archived Standard)

In this activity, students enter coordinates to make a path to get to a target destination while avoiding mines. This activity allows students to explore Cartesian coordinates and the Cartesian coordinate plane. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Students are asked to graph points given their coordinates and describe the coordinates of graphed points.

Students are asked to graph points given their coordinates and describe the coordinates of graphed points when the axes have different scales.

Students are asked about numbers and their opposites.

Students are asked to graph -4, 0, and 4 on a number line and to explain the relationship between a number and its opposite in terms of the number line.

Students are asked to compare the graphs of coordinates that are opposite in sign on a number line and in the coordinate plane.

Students are asked to determine in what quadrant or on which axis, points described algebraically, are located.

Students are asked to find the coordinates of graphed points and graph points with rational coordinates on a number line.

Students will learn the functions and characteristics of the four main layers of Earth's atmosphere. They will also determine the thickness of each layer and display them to scale. Students will plot the layers' temperatures, noting the change in temperature from the bottom to the top on a number line.

This project is used to help students enhance their ability to use and understand the coordinate plane by creating a map of their school.

The lesson uses the classroom as a coordinate plane then moves into plotting points on a graph. It culminates with a target-practice game.

In this lesson, students learn about the four quadrants of a coordinate plane and how to plot points in those quadrants. Students also learn how to use linear equations to predict future input and output pairs. Students work together to try to sink the teacher's fleet in a Battleship-type game while the teacher tries to sink theirs first.

Students will review how to graph positive numbers and then negative numbers on a number line. The students will review absolute value and apply this to different integers. They will then play a fun game to check their understanding.

Explore reflections on a coordinate plane in epic Capture the Flag tournament with this interactive tutorial.

This is part 2 in a two-part series:

• Open "Capturing Flags on the Coordinate Plane Part 1"
• Open "Capturing Flags on the Coordinate Plane Part 2"

Learn how to create and use number lines with positive and negative numbers, graph positive and negative numbers, find their distance from zero, find a number’s opposite using a number line and signs, and recognize that zero is its own opposite with this interactive, golf-themed tutorial.

What's the shortest path between point A and B on the ocean? It depends on wind and currents, but coordinates can help you track your position.

Related Resources:
KROS Pacific Ocean Kayak Journey: GPS Data Set[.XLSX]
KROS Pacific Ocean Kayak Journey: Path Visualization for Google Earth[.KML]

Download the CPALMS Perspectives video student note taking guide.

The purpose of this task is meant to reinforce students' understanding of rational numbers as points on the number line and to provide them with a visual way of understanding that the sum of a number and its additive inverse (usually called its "opposite") is zero.

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

In this tutorial, you will compare rational numbers using a number line.

Students will plot an ordered pair on the x (horizontal) axis and y (vertical) axis of the coordinate plane.

Students will become familiar with the coordinate plane.

This video contains examples of plotting coordinate pairs and identifying their quadrant.

This video discusses the negative sign as meaning "opposite."

Locate fractions and decimals on the same number line in this tutorial.

In this tutorial, you will learn how to order rational numbers using a number line.

This video guides you through comparisons of values, including opposites.

This video demonstrates evaluating inequality statements, some involving absolute value, using a number line.

Students will learn how to identify the four quadrants in the coordinate plane.  

This video uses a number line to describe the opposite of a number.

The Cartesian Coordinate system, formed from the Cartesian product of the real number line with itself, allows algebraic equations to be visualized as geometric shapes in two or three dimensions.  While this tutorial includes the basis of Coordinate system, it also includes ideas beyond fifth grade standards.  Most likely only advanced fifth graders would find the video engaging.  

The first fractions used by ancient civilizations were "unit fractions." Later, numerators other than one were added, creating "vulgar fractions" which became our modern fractions. Together, fractions and integers form the "rational numbers."

Number systems evolved from the natural "counting" numbers, to whole numbers (with the addition of zero), to integers (with the addition of negative numbers), and beyond. These number systems are easily understood using the number line.

Students will be able to see examples of addition of integers while watching a short video, and practice adding integers using an online quiz.

This video provides sample questions about the concept of opposite numbers.

Explore reflections on a coordinate plane in epic Capture the Flag tournament with this interactive tutorial.

This is part 2 in a two-part series:

• Open "Capturing Flags on the Coordinate Plane Part 1"
• Open "Capturing Flags on the Coordinate Plane Part 2"

Learn how to create and use number lines with positive and negative numbers, graph positive and negative numbers, find their distance from zero, find a number’s opposite using a number line and signs, and recognize that zero is its own opposite with this interactive, golf-themed tutorial.

In this activity, students enter coordinates to make a path to get to a target destination while avoiding mines. This activity allows students to explore Cartesian coordinates and the Cartesian coordinate plane. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

The purpose of this task is meant to reinforce students' understanding of rational numbers as points on the number line and to provide them with a visual way of understanding that the sum of a number and its additive inverse (usually called its "opposite") is zero.

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

In this tutorial, you will compare rational numbers using a number line.

Students will plot an ordered pair on the x (horizontal) axis and y (vertical) axis of the coordinate plane.

Students will become familiar with the coordinate plane.

This video contains examples of plotting coordinate pairs and identifying their quadrant.

This video discusses the negative sign as meaning "opposite."

Locate fractions and decimals on the same number line in this tutorial.

In this tutorial, you will learn how to order rational numbers using a number line.

This video guides you through comparisons of values, including opposites.

This video demonstrates evaluating inequality statements, some involving absolute value, using a number line.

Students will learn how to identify the four quadrants in the coordinate plane.  

This video uses a number line to describe the opposite of a number.

The Cartesian Coordinate system, formed from the Cartesian product of the real number line with itself, allows algebraic equations to be visualized as geometric shapes in two or three dimensions.  While this tutorial includes the basis of Coordinate system, it also includes ideas beyond fifth grade standards.  Most likely only advanced fifth graders would find the video engaging.  

The first fractions used by ancient civilizations were "unit fractions." Later, numerators other than one were added, creating "vulgar fractions" which became our modern fractions. Together, fractions and integers form the "rational numbers."

Number systems evolved from the natural "counting" numbers, to whole numbers (with the addition of zero), to integers (with the addition of negative numbers), and beyond. These number systems are easily understood using the number line.

Students will be able to see examples of addition of integers while watching a short video, and practice adding integers using an online quiz.

The purpose of this task is meant to reinforce students' understanding of rational numbers as points on the number line and to provide them with a visual way of understanding that the sum of a number and its additive inverse (usually called its "opposite") is zero.

Students will be able to see examples of addition of integers while watching a short video, and practice adding integers using an online quiz.