Student Learning Targets:

Reasoning Targets

• I can apply the Pythagorean Theorem to determine unknown side lengths in right triangles in mathematical problems in two and three dimensions.
  

Skills Domain (Performance) Targets

• I can apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real world problems in two and three dimensions.

Proficiency Scale

Link to Proficiency Scale PDF

Resources

Websites

• www.bigideasmath.com
  • Chapter 6 
• www.mathisfun.com
• www.khanacademy.org
  
  • try searching Pythagorean Theorem examples
• ccssmath.org

Vocabulary

• Pythagorean Theorem
• Leg
• Hypotenuse
• Right Triangle

Comparison to ND 2005 Mathematics Standards/Benchmark

**MAT-8.2.4 Apply the Pythagorean Theorem to problems involving right triangles

**MAT-9-10-2.6 Use distance, midpoint, and slope to determine relationships between points, lines, and plane figures in the Cartesian coordinate system; e.g., determine whether a triangle is scalene, isosceles, or equilateral given the coordinates of its vertices.

• *** Indicates strong content alignment from Common Core Standards to North Dakota Content Standards
• ** Indicates partial content alignment from Common Core Standards to North Dakota Content Standards
• * Indicates weak content alignment from Common Core Standards to North Dakota Content Standards

Comparison to ND 2005 Mathematics Standards/Benchmark

***MAT-7.4.8. Use formulas to determine the volume of right cylinders

***MAT-8.4.3 Use formulas to determine the surface area and volume of right cones and spheres

• *** Indicates strong content alignment from Common Core Standards to North Dakota Content Standards
• ** Indicates partial content alignment from Common Core Standards to North Dakota Content Standards
• * Indicates weak content alignment from Common Core Standards to North Dakota Content Standards