Type:

Unit

Description:

Students define a similarity transformation as the composition of basic rigid motions and dilations. Students define two figures to be similar if there is a similarity transformation that takes one to the other.Students can describe a similarity transformation applied to an arbitrary figure (i.e., not just triangles) and can use similarity to distinguish between figures that resemble each other versus those that are actually similar.Teacher and Student versions of full lesson from engageNY

Subjects:

  • Mathematics > General
  • Mathematics > Geometry

Education Levels:

  • Grade 9
  • Grade 10

Keywords:

similarity

Language:

English

Access Privileges:

Public - Available to anyone

License Deed:

Creative Commons Attribution Non-Commercial Share Alike

Collections:

Teacher Resources
Update Standards?

CCSS.Math.Practice.MP2: Common Core State Standards for Mathematics

Reason abstractly and quantitatively.

CCSS.Math.Practice.MP3: Common Core State Standards for Mathematics

Construct viable arguments and critique the reasoning of others.

CCSS.Math.Practice.MP5: Common Core State Standards for Mathematics

Use appropriate tools strategically.

CCSS.Math.Practice.MP6: Common Core State Standards for Mathematics

Attend to precision.

CCSS.Math.Practice.MP7: Common Core State Standards for Mathematics

Look for and make use of structure.

CCSS.Math.Content.HSG-SRT.A.2: Common Core State Standards for Mathematics

Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
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