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Mathematics Governor’s Institute 2003

 

(Download as Microsoft Word documents: Point Attack, Procedures and Activities)

 

Title of Project:  Point Attack

 

Team Members:  

Lori Palka

Alice Pelow

Zema Schaney

Joy Slavin

Grade Level and/or Course: Grade 3 and above

 

Concept(s) used: Vertical and Horizontal lines, Ordered Pairs, Sequence, Coordinate graph

 

PA Standard(s) Addressed: 

 

2.8.3.J – Analyze simple functions and relationships and locate points on a simple grid.

 

2.5.3.A - Use appropriate problem – solving strategies.

 

2.5.5.B - Use appropriate mathematical terms, vocabulary, language symbols, and graphs to explain clearly and logically the solutions to problems.

NCTM Standard(s) Addressed:

 

Specify locations and describe and spatial relationships using coordinate geometry and other representational system.

 

Expectations: make and use coordinate systems to specify locations and to describe paths.

 

Introduction /Applications:

 

There are many real-life situations in which students need to use a coordinated grid.  We will introduce locating an ordered pair on a grid using a scaffold series of lessons.

 

Question:

 

To identify points on a coordinate grid and to locate an ordered pair on a coordinate grid.

 

Model:

 

Use a coordinate grid to introduce the concept of using ordered pairs to locate given points.  Sequence the ordered pairs to locate given points.   Sequence the order of steps that are to be followed to be successful.  Place concrete objects on a display grid and use ordered pairs to create an Amusement

 Park according to specific directions.

 

Resources and Materials (estimated cost):

 

Attached worksheets, 5*7 index cards, demonstration poster, sequence cards, and stickers.

 

Procedures and Activities:

 

See attachment

 

Answers / Rubric:

 

Only needed for Amusement Park.

 

 

4    -    

The child successfully completed all of the fourteen tasks.

 

3    -    

The child successfully completed ten – thirteen of the tasks

 

2    -    

The child successfully completed six – nine of the tasks.

 

1    -    

The child successfully completed one – five of the tasks.

 

0    -    

The child did not attempt to complete the activity.

 

Accommodations/Adaptations:

 

ESL:

 

Depending on the culture some students will need pictures of an Amusement Park.  Pair with Native- speaking student.

 

Special Education:

 

Assist students in organizing picture cards of an Amusement Park.  Pair special education  student with regular education student.  Make sure materials are appropriate for the student.

 

Enrichment:

 

Draw school map.

Field trip maps.

Calendar – coordinate points on the grid.

Multiplication charts – look at grid and patterns.

Addition table – look at grid and patterns.

Desks – if arranged in rows, dismissed with coordinate points.

Play the game “Battleship”.

 

Procedures and Activities:

 

Activity for assessment  -  Student will create a map of an Amusement Park using skills of  placing ordered pairs on a coordinate grid.   Score according to rubric in packet.

 

   Directions –

1.

Label point 0.

2.

Number the points on the horizontal axis from 1 to 6.

3.

Number the points of the vertical axis from 1 to 8.

4.

Draw a gate between (2,0) and (3,0).

5.

Draw a ticket booth at (2,1).

6.

Use the map key below to draw the rides listed:

Draw a square pond using these ordered pairs  (1,2), (1,3), (0,3), and (0,2).

Draw a Ferris wheel between (2,6), and (2,3).

Draw a water slide between (1,2), and (2,3).

Draw a roller coaster between (3,2), and (6,2).

Draw bumper cars between (4,4) and (5,6).

Draw merry-go-around between (1,4) and (2,4).

7.

Now, you still need a Food Court.  Decide where would be the best location for it.  Food court coordinates ( ___,____), and (_____,_____).

 

 

Introductory Activity:

 

1.

Place poster board grid on board. 

2.

Discuss with your class and place instruction cards one through four on the grid.

3.

Using instructions, locate a sample ordered pair on the grid.

4.

Have students pace object on grid when given ordered pair.

 

Practice Activity:

 

Students are given an unnumbered 6*6 grid, and stickers. 

 

1.

Teacher instructs them to place 0 point, reviews 0 placement, and vocabulary terms. 

2.

Student numbers the horizontal and vertical axis, and them place stickers according to ordered pairs held up by the teacher.

3.

At the conclusion of the activity, the students to compare their chart to another student to see if they are the same.  

4.

Discuss any differences with your partner.

 

 

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