Mathematics Support

At home, your child can...

• Draw (freehand, with ruler, and with technology) geometric shapes with given conditions.

  Investigate automotive brand logos that are composed of polygons and circles. Practice measuring and drawing the logos using everyday tools, such as rulers and string
  

• Solve real-world and mathematical problems involving surface area of two-dimensional objects composed of triangles, quadrilaterals, polygons, and circles.

  For example, examine the shape of a landscaped flowerbed. Determine the shapes that compose the figure. Discuss the strategy that can be used to determine the area of the flowerbed.  

Angle Relationships

Students will be able to...

• Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. 
• Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

*Instructional videos in the hyperlinks above are meant to support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS.

The Common Core State Standards require a balance of three fundamental components that result in rigorous mathematics acquisition: deep conceptual understanding, procedural skill, and mathematical applications and modeling.

In school, your child will…

• Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

  Use your protractor to measure the angles of triangles A and B.  Use your ruler to measure the side lengths of triangles A and B (in cm).  Label the angle measures and side lengths.  

• Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

  Write and solve equations to determine the unknown angle measures below: 

   

At home, your child can...

• Practice identifying and measuring sketched angles using a protractor.  Practice rotating the interactive protractor into proper position to measure each given angle at http://www.mathplayground.com/measuringangles.html.  

• Investigate a local street system design using a street map or by visiting Google© maps. 

  • Locate pairs of intersecting roads and determine the angle relationship that exists. Use a protractor to confirm the relationship.
  • Determine if any series of intersecting roads results in a triangle and identify the type of triangle that is represented. 
  • Locate and label the different angles on the map and use a protractor for measuring.  
   
• Examine a soccer field and see how angle measures are at work. Visit the CK12 PLIX (Play Learn Interact Xplore): Corner Kick. To access the PLIX, you will need to create a free user account.

Additional Resources

• Angle Relationships: complementary and supplementary angles (online matching game)

• Interactive Angles Teaching Tool (online practice)
• Supplementary and Complementary Angles  (online skills practice)
• IXLMath: Identify complementary, supplementary, vertical, adjacent, and congruent angles (online practice)
• Triangles Side and Angles (online tutorial)
• Khan Academy: Constructing Triangles (online practice)
• Grade 7 Standards Unit 3 Topic 2: Angle Relationships  (flexbook)

*Additional Practice links support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS.