Fun with Rotations

In this lesson, students will use their math knowledge to move a fixed object around a point. This is a great way to get the kids involved in the learning process.

Standards & Objectives

Academic standards
CCSS.Math.Content.7.G.A.2
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three...
CCSS.Math.Content.8.G.A.1
Verify experimentally the properties of rotations, reflections, and translations:
CCSS.Math.Content.8.G.A.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,...
CCSS.Math.Content.8.G.A.3
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
CCSS.Math.Content.8.G.A.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,...
CCSS.Math.Content.8.G.A.5
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut...
GLE 0606.4.2
Use the concepts of translation, rotation, reflection, and symmetry to understand congruence in the plane.
GLE 0806.4.2
Understand the relationships among the angles formed by parallel lines cut by transversals.
SPI 0706.4.2
Use SSS, SAS, and AA to determine if two triangles are similar.
SPI 0806.4.3
Find measures of the angles formed by parallel lines cut by a transversal.
TSS.Math.7.G.A.2
Draw geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a...
TSS.Math.8.G.A.1
Verify experimentally the properties of rotations, reflections, and translations:
TSS.Math.8.G.A.2
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
TSS.Math.8.G.A.3
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a...
 
Alignment of this item to academic standards is based on recommendations from content creators, resource curators, and visitors to this website. It is the responsibility of each educator to verify that the materials are appropriate for your content area, aligned to current academic standards, and will be beneficial to your specific students.
 
Learning objectives: 

Objectives:

Students will discuss the importance of accurate measurements; 2. Use their math skills to move an object from a fixed point to another fixed point; and 3. see a resemblance from one rotation to the next.

Lesson Variations

Blooms taxonomy level: 
Understanding

Helpful Hints

Materials:

  • Rulers, one for every student 
  • Graphing paper, one for every student 
  • pencils, one for every student 
  • Maple, mathematics computer program that visual shows (in 3-D or 2-D) what it looks like for an object to rotate around the axis or a fixed point.

References

Contributors: