Math Homework Help 5th Grade Robot Rotation

Lesson objective: Apply knowledge of angle construction and measurement to a real-world problem.

This lesson provides an opportunity for students to apply their knowledge and understanding of angle measurement to a real-life situation. Students are asked to construct a triangular path that a robot will travel given a set of directions that include turning on a specific angle.

Key Concept students will use: 

  • Points, lines, line segments, and rays have specific properties that are maintained when combined to make geometric figures. One of these new figures, an angle, is a geometric figure that is created wherever two rays share a common endpoint.

  • An angle is measured in reference to two rays that intersect the center point of a circle. An angle that turns through 1/360th of a circle is called a one-degree angle.

  • An angle that turns through n one-degree angles is said to have a measure of n degrees.

Skills students will use:

  • Exploring standard units of length; (Grade 2, Unit 2)
  • Solving problems involving shapes; (Grade 3, Unit 13) 

Students engage in Mathematical Practice 5 (Use appropriate tools strategically) as they use a ruler, protractor, and other materials to construct angles. 

Key vocabulary: 

  • acute angle
  • angle
  • measure
  • obtuse angle
  • point
  • protractor
  • ray
  • right angle
  • vertex

Special materials needed:

  • AngLegs (optional)
  • protractor
  • ruler

This lesson plan may be used to address the academic standards listed below. These standards are drawn from Content Knowledge: A Compendium of Standards and Benchmarks for K-12 Education: 2nd Edition and have been provided courtesy of theMid-continent Research for Education and Learningin Aurora, Colorado.
 
Grade level:6-8
Subject area:technology
Standard:
Understands the relationships among science, technology, society, and the individual.
Benchmarks:
Benchmark 1:
Knows ways in which technology has influenced the course of history (e.g., revolutions in agriculture, manufacturing, sanitation, medicine, warfare, transportation, information processing, communication).

Benchmark 2:
Knows ways in which technology and society influence one another (e.g., new products and processes for society are developed through technology; technological changes are often accompanied by social, political, and economic changes; technology is influenced by social needs, attitudes, values, and limitations and by cultural backgrounds and beliefs).

Benchmark 3:
Knows examples of advanced and emerging technologies (e.g., virtual environment, personal digital assistants, voice recognition software) and how they could impact society.

Benchmark 4:
Knows that science cannot answer all questions and technology cannot solve all human problems or meet all human needs.

Grade level:9-12
Subject area:technology
Standard:
Understands the nature of technological design.
Benchmarks:
Benchmark:
Proposes designs and chooses between alternative solutions (e.g., models, simulations).

Benchmark:
Implements a proposed solution (e.g., constructs artifacts for intended users or beneficiaries).

Benchmark:
Evaluates a designed solution and its consequences based on the needs or criteria the solution was designed to meet.

Grade level:6-8, 9-12
Subject area:science
Standard:
Understands the scientific enterprise.
Benchmarks:
Benchmark 6-8:
Knows various settings in which scientists and engineers may work (e.g., colleges and universities, businesses and industries, research institutes, government agencies).

Benchmark 9-12:
Knows that creativity, imagination, and a good knowledge base are all required in the work of science and engineering.

Benchmark 9-12:
Knows that science and technology are essential social enterprises, but alone they can only indicate what can happen, not what should happen.

Grade level:9-12
Subject area:life work
Standard:
Makes general preparation for entering the work force.
Benchmarks:
Benchmark:
Analyzes a current job and its future possibilities.

Benchmark:
Evaluates the chances of getting a job now and in the future in fields of work that are of interest.

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