Description

Students will be given integer and decimal coordinates that will reveal a picture when graphed. Students will also create their own images to challenge classmates. This lesson can be extended to polygon attributes for 5th and 6th grade, and transformations and proportional reasoning for 7th and 8th grades.

Levels

• Grades 4 through 8.

Preparation Time

5 minutes to print activity sheets

Activity Time

2 - 5 class periods

Topics

• Place Value
• Proportional Reasoning
• Graphing on the Coordinate Plane
• Two-Dimensional Figures on the Coordinate Plane
• Transformations on the Coordinate Plane

Goals

• Students will be able to graph (x,y) coordinates in all 4 quadrants or a Cartesian plane.
• Students will recognize the relationship between positive and negative numbers.
• Students will use place value to create decimal coordinates to the hundredths.
• Students will transform figures using reflection, translation and dilation.
• Students will be able to identify properties of two dimensional figures.

Materials

• 8.5 x 11 in sheets of grid paper in 1 in and 1/4 in sizes, or 1 cm and 1/2 cm sizes
• large sheets of 1 in grid paper, or grid for overhead/computer projector
• Mystery Pictues activity sheet
• ruler
• colored pencils

Prerequisites

• Students should be able to graph integer coordinate in the first quadreat of a coordinate plane.

Credits

Authors

National Common Core Standards

5.G.1	Plot ordered pairs on the coordinate plane, and use appropriate labeling and terminology.
5.G.3	Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
5.NBT.1	Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. (e.g. 700/70 = 10).
6.G.3	Draw polygons in the coordinate plane given coordinates for the vertices and find lengths of horizontal and vertical edges to answer questions about real-world problems.
6.NS.5	Understand that positive and negative numbers are used together to describe quantities having opposite directions or values and use them to represent real-world situations.
6.NS.6	Understand a rational number as a point on the number line. Represent points on the line and in the plane with negative/rational coordinates.
6.NS.7	Understand ordering and absolute value of rational numbers.
6.NS.8	Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane and use coordinates and absolute value to find distances between points with the same first or second coordinate.
7.G.1	Solve problems involving scale drawings of geometric figures.
7.RP.2	Recognize and represent proportional relationships between quantities.
8.G.1	Verify experimentally the properties of rotations, reflections, and translations.
8.G.2	Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations. Given two congruent figures, give a sequence of transformations that exhibits the congruence.
8.G.3	Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
8.G.4	Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations. Given two similar figures, give a sequence of transformations that exhibits the similarity.

This work placed into the public domain by the Riverbend Community Math Center.