Focus 7

6th Grade Math

Relationships in the Coordinate Plane

Math Notebook - Table of Contents

Date Title Page1/27/14 START Focus 7

Common Core Inv. 3.3 (continue from F6)

Fresh Left

Representing Relationship Learning Goal

I will expand my understanding of rational numbers as I extend the

coordinate plane to include all four quadrants. I will

apply my understanding of absolute value to determine distances in the coordinate

plane.

Today, my learning target is to…

• Understand how signs of the numbers in an ordered pair indicate the point’s location in a quadrant of the coordinate plane.• Recognize how points indicated by ordered pairs that differ only by signs relate to reflections across one or both axes.• Find and graph rational numbers on a number line and ordered pairs of rational numbers on a coordinate plane.• Interpret absolute value as magnitude for a quantity in a real-world situation and distinguish comparisons of absolute value from statements about order.• Solve problems, including distance problems involving points with the same x-coordinate or same y-coordinate, by graphing points in all quadrants of the coordinate plane.• Write an inequality to represent a real-world situation.• Graph the solution to an inequality and recognize that inequalities of the form x > c or x < c have an infinite number of solutions.• Draw polygons in the coordinate plane when given coordinates for the vertices.

MY PROGRES

S CHART

Before we start the Learning Target Lesson, think about the Learning Target for today….

How much prior knowledge do you have regarding that goal?

Chart your prior knowledge using your pre-target score icon.

Common Core Investigation 3

Integers and theCoordinate Plane

Students will extend their previous understandings of number and the ordering of numbers to the full system of rational numbers, which includes negative rational numbers, and in particular negative integers. They will reason about the order and absolute value of rational numbers and about the locations of points in all four quadrants of the coordinate plane. Students will apply their knowledge of the coordinate plane to plot vertices of polygons and find the lengths of their horizontal or vertical sides.

Before Starting Investigation 3.3

Is the point (5, 3) the same as the point (3, 5)?

No; Locate (5, 3) by going right from the origin 5 units and then up 3 units. Locate (3, 5) by going right from the origin 3 units and then up 5 units.

Vocabulary of Coordinate Planes

During Investigation 3.3• What characteristic is shared by all points on the

x-axis? ▫Every point on the x-axis has a y-coordinate of zero.

• What characteristic is shared by all points on the y-axis?▫Every point on the y-axis has an x-coordinate of

zero.• What characteristic is shared by all points in

quadrants I and III? ▫Their coordinates have the same sign.

• What characteristic is shared by all points in quadrants II and IV?▫Their coordinates have opposite signs.

5. reflection across the x-axis, translation 4units down, or 180° rotation around (4, 0)

Today, I achieved my learning target by…

• Understand how signs of the numbers in an ordered pair indicate the point’s location in a quadrant of the coordinate plane.• Recognize how points indicated by ordered pairs that differ only by signs relate to reflections across one or both axes.• Find and graph rational numbers on a number line and ordered pairs of rational numbers on a coordinate plane.• Interpret absolute value as magnitude for a quantity in a real-world situation and distinguish comparisons of absolute value from statements about order.• Solve problems, including distance problems involving points with the same x-coordinate or same y-coordinate, by graphing points in all quadrants of the coordinate plane.• Write an inequality to represent a real-world situation.• Graph the solution to an inequality and recognize that inequalities of the form x > c or x < c have an infinite number of solutions.• Draw polygons in the coordinate plane when given coordinates for the vertices.

MY PROGRES

S CHART

After the completion of the Learning Target, think about the Learning Target for today….

How much has your understanding of the Learning Target changed? Did your understand increase or decrease?

Chart your current knowledge using your Post-target score icon.

6th Grade Math Focus 7 Homework

•Review of Inv. 3.1, Exercises 1–

9

•Review of Inv. 3.2, Exercises

10–13