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Chapter 7 Cartesian Coordinate System

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Page 1: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Chapter 7

Cartesian Coordinate

System

Page 2: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Day…..

1. Parts of a Coordinate Plan

2. Graphing Ordered Pairs

3. Identifying Points

4. Identifying Ordered Pairs

5. Translating Points

Page 3: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Day 1

Page 4: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Bell Work

Justify your Response

Page 5: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

I Can….

identify the parts of the Cartesian coordinate

system.

Page 6: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Vocabulary•

The horizontal number line

The vertical number line

Y-coordinate -

X-axis -

Origin -

Y-axis -

X-coordinate -

Quadrant-

The first number given in an ordered pair ( 3, 7 )

The second number given in an ordered pair ( 5, 9 )

The point where the x-axis intersects with the y-axis. This point is ( 0, 0)

The four regions that the coordinate plane is divided into.

A coordinate system formed by the intersection of a horizontal and a vertical number line

Ordered Pair- A pair of numbers that can be used to represent a point in the coordinate plane.

Point - An ordered pair graphed and labeled with a capital letter

Page 7: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Parts of a Coordinate Plane

Please clear your desk of everything except for a pencil and the provided

note taking page.

***Please refer to the in class notes for review***

Page 8: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Word Bank for Notes• Intersection• Horizontal• Vertical• X-axis• Y-axis• Capitol Letters• X-coordinate• Y-coordinate• (x, y)• Point (x2)• How far left or right to move from the origin• How far up or down to move from the origin• The 4 regions the coordinate plane is divided into.• Corresponds

Page 9: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Independent Practice

Please clear your desk of everything except for a pencil and your vocabulary

page.

Page 10: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Instructions• Label the four quadrants in red.• Number both the x and y axis from -20 to 20.• Color the X-axis yellow.• Color the Y-axis orange.• Place a blue dot at the origin.• Find and plot the following points using green

dots: (-2, 6) (-5, -8) (1, 9) (15, -14)• Label your plotted points M, A, T, H

Page 11: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 12: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Day 2

Page 13: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Bell Work

Justify your response.

Page 14: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Homework Check

Page 15: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Vocabulary•

The horizontal number line

The vertical number line

Y-coordinate -

X-axis -

Origin -

Y-axis -

X-coordinate -

Quadrant-

The first number given in an ordered pair ( 3, 7 )

The second number given in an ordered pair ( 5, 9 )

The point where the x-axis intersects with the y-axis. This point is ( 0, 0)

The four regions that the coordinate plane is divided into.

A coordinate system formed by the intersection of a horizontal and a vertical number line

Ordered Pair- A pair of numbers that can be used to represent a point in the coordinate plane.

Point - An ordered pair graphed and labeled with a capital letter

Page 16: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

I Can….

graph ordered pairs of integers in all four quadrants of the

Cartesian coordinate system.

Page 17: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Graphing Ordered PairsEssential Understanding:• This is an example of an ordered pair ( 5, -7)• The first number given in an ordered pair is the x-coordinate. It tells you

how far left (negative #) or how far right (positive #) you must move along the x-axis.

• The second number given in an ordered pair is the y- coordinate. It tells you how far up (positive #) or how far down (negative #) you must move along the y-axis.

• To plot a point move along the x-axis to the given coordinate. Then move up or down the y-axis from your current position on the x-axis.

• The point given will be plotted where the x-coordinate and y-coordinate intersect.

• Remember you must run before you jump or dive. • Think “alphabetical order” (x before y)

Examples:

Page 18: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Partner Work

Please clear your desk of everything except for a pencil.

Page 19: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 20: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Day 3

Page 21: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Bell Work

Justify Your Response

Page 22: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Homework Check

Page 23: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Vocabulary•

The horizontal number line

The vertical number line

Y-coordinate -

X-axis -

Origin -

Y-axis -

X-coordinate -

Quadrant-

The first number given in an ordered pair ( 3, 7 )

The second number given in an ordered pair ( 5, 9 )

The point where the x-axis intersects with the y-axis. This point is ( 0, 0)

The four regions that the coordinate plane is divided into.

A coordinate system formed by the intersection of a horizontal and a vertical number line

Ordered Pair- A pair of numbers that can be used to represent a point in the coordinate plane.

Point - An ordered pair graphed and labeled with a capital letter

Page 24: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

I Can….

identify points on a coordinate plane given

the ordered pairs.

Page 25: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Identifying PointsEssential Understanding:• To identify a plotted point when given an ordered pair, you

follow the same procedure as when you are plotting the point yourself. (You must find the point where the x and y coordinates intersect).

• To do this, you first determine how far left or right you move, based on your x-coordinate.

• Then determine how far up or down your point is located from there, based on your y-coordinate.

Examples:

Page 26: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Partner Work

Please clear your desk of everything except for a pencil.

Page 27: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 28: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Day 4

Page 29: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Bell Work

Justify Your Response

Page 30: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Homework Check

Page 31: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Vocabulary•

The horizontal number line

The vertical number line

Y-coordinate -

X-axis -

Origin -

Y-axis -

X-coordinate -

Quadrant-

The first number given in an ordered pair ( 3, 7 )

The second number given in an ordered pair ( 5, 9 )

The point where the x-axis intersects with the y-axis. This point is ( 0, 0)

The four regions that the coordinate plane is divided into.

A coordinate system formed by the intersection of a horizontal and a vertical number line

Ordered Pair- A pair of numbers that can be used to represent a point in the coordinate plane.

Point - An ordered pair graphed and labeled with a capital letter

Page 32: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

I Can….

identify ordered pairs when given a plotted point on a coordinate

plane.

Page 33: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Identifying Ordered PairsEssential Understanding:• To determine the coordinates of a plotted point, you must identify the

x and y coordinate.• To do this, begin by placing your finger on the given point.• Then, move your finger up or down until you reach the x-axis. The

number you land on is your x-coordinate. It is listed first in your ordered pair.

• Next place your finger back on the plotted point, and trace the line left or right until you reach the y-axis. The number you land on is your y-coordinate. It is listed last in your ordered pair.

• Finally list your coordinates in the proper order.• Remember “alphabetical order” (x,y)

Examples:

Page 34: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Your Turn….

Take out your marker boards

Page 35: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 36: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Day 5

Page 37: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Bell Work

Justify Your Response

Page 38: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Homework Check

Page 39: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Vocabulary•

The horizontal number line

The vertical number line

Y-coordinate -

X-axis -

Origin -

Y-axis -

X-coordinate -

Quadrant-

The first number given in an ordered pair ( 3, 7 )

The second number given in an ordered pair ( 5, 9 )

The point where the x-axis intersects with the y-axis. This point is ( 0, 0)

The four regions that the coordinate plane is divided into.

A coordinate system formed by the intersection of a horizontal and a vertical number line

Ordered Pair- A pair of numbers that can be used to represent a point in the coordinate plane.

Point - An ordered pair graphed and labeled with a capital letter

Page 40: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

End-Unit Assessment

Please clear your desk of everything except for a pencil

and a calculator.

Page 41: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 42: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Not Used this Week

Page 43: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

No School

Page 44: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Computer Station• www.learnzillion.com (6 minutes per video)• www.tenmarks.com (10 questions per assignment)

Page 45: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Station Rotations

1. Write your exit ticket.

2. Pack up everything but a pencil.

3. You will have 15 minutes to complete each rotation

Page 46: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

1st Rotation

Page 47: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

2nd Rotation

Page 48: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

3rd Rotation

Page 49: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

4th Rotation

Page 50: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Group WorkBefore we begin…….1. Complete an exit ticket.2. Pack up everything except for your

pencil and calculator.3. Sit quietly unit everyone is ready.

Page 51: Chapter 7 Cartesian Coordinate System. Day….. 1.Parts of a Coordinate PlanParts of a Coordinate Plan 2.Graphing Ordered PairsGraphing Ordered Pairs 3.Identifying

Watch This• ( 5 mins)