# CONTACT CCSD21

Wheeling, Illinois 60090

Phone: 847-537-8270

Superintendent: Dr. Michael Connolly # VISIT A SCHOOL

### CCSD21 is a school district comprised of 13 schools across 6 different communities in the northwest suburbs of Chicago.

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### BECOME A MEMBER OF THE SCHOOL DISTRICT 21 TEAM

School District 21 prides itself on its Professional Learning Community and its rich tradition of professional collaboration, high levels of professional development, and family-like atmosphere. If you see the opportunity to work with colleagues in making a difference in the lives of students and families in a truly diverse setting, School District 21 seeks your application.

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# Mathematics

## Geometry

### Power Standards

• Use coordinates to describe the effect of transformations (dilations, translations, rotations, reflections). (8.G.3)
• Apply the Pythagorean Theorem in mathematical problems, including those in real-world contexts. (8.G.7)

### Concepts and Skills

* Power Standard Content

• * Rotations, reflections, translations
• * Prove congruency using transformations
• * Prove similarity using dilations and transformations
• * Apply the Pythagorean Theorem (e.g., missing triangle side lengths, distance between two points)
• Describe and analyze symmetries of figures

### Language Usage

• A student in 8th grade will demonstrate the ability to apply and comprehend critical language by describing the effect of transformations, and by explaining the Pythagorean Theorem.

### Content-Specific Vocabulary

• Rotations
• Reflections
• Translations
• Congruent
• Transformations
• Similar
• Dilation
• Pythagorean Theorem
• Symmetries
• Distance

• Describe
• Analyze
• Prove
• Apply

### Essential Understandings

• Right triangles have a unique and important side-length relationship known as the Pythagorean Theorem.
• Knowing and applying geometric properties and equations allows one to solve complex problems involving geometric figures.

### Factual Guiding Questions

• What is the difference between each type of transformation?
• What is the Pythagorean Theorem?
• How do you find the distance between two points?
• How do you determine if two figures are similar?
• How can you identify which transformations have been made to create a figure?

### Conceptual Guiding Questions

• What specific information about distances can we use when we transform a figure?
• What properties can be used to determine if two figures are similar?
• How can it be determined whether or not a triangle is a right triangle if only the side lengths are known?

### Engaging/Debatable Guiding Questions

• When is it appropriate and useful to use the Pythagorean Theorem?
• What connections exist between geometry and algebra?