# 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

• Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing. (7.G.1)

### Concepts and Skills

* Power Standard Content

• * Solve problems involving scale drawings
• * Draw geometric shapes with given conditions
• Use scale factors to compare similar figures
• Use supplementary, complementary, vertical and adjacent angles to solve problems
• Solve real-world problems involving area, volume, and surface area of compositions of triangles, quadrilaterals, polygons, cubes, and right prisms
• Know and use formulas for finding area and circumference of a circle
• Describe 2-dimensional cross sections of 3-dimensional figures

### Language Usage

• A student in seventh grade can demonstrate the ability to apply and comprehend critical language by explaining properties of similar figures and utilizing proportional reasoning when scaling is required in geometric situations.

### Content-Specific Vocabulary

• Scale
• Scale factor
• Similar
• 2-Dimensional
• 3-Dimensional
• Supplementary
• Complementary
• Vertical
• Angles
• Circumference
• Area
• Volume
• Surface area
• Triangles
• Polygons
• Cubes
• Right prisms
• Cross section

• Compare
• Solve
• Draw
• Describe
• Formula

### Essential Understandings

• Similarity is the geometric representation of proportion.
• Understanding the unique measurable attributes of two-dimensional and three-dimensional shapes leads to the strategic use of space.

### Factual Guiding Questions

• How can angles be classified?
• How do you find a scale factor?
• How do you find the measurement of a circle (area and circumference)?
• How do you find the area of triangles, quadrilaterals, and polygons?
• How do you find the volume and surface area of cubes and right prisms?
• What two-dimensional shapes create this three-dimensional figure?

### Conceptual Guiding Questions

• How do you use the measures of the angles given to find an unknown angle measure?
• When two figures are similar, how can you describe the similarities/differences between the two figures?
• How do you use similarity to find an unknown measurement?
• How can you draw similar figures using a scale factor?
• How do ratios relate to similarity?
• How do you create a similar figure with a given volume?

### Engaging/Debatable Guiding Questions

• When is it necessary to find surface area in a real-world situation?
• When is it necessary to find volume in a real-world situation?
• What purpose does similarity have in real life?