Dover Sherborn Middle School Curriculum Road Maps

 

 

Course Title:     Pre-Algebra                            Grade:  7

 

Unit:   Geometry and Measurement

 

Month Presented:         December and May/June      Unit Length (in weeks):             6         

 

Essential Question (s):

  • How can the Pythagorean theorem help us find the area of a triangle?
  • What is plane geometry?
  • What is the benefits of doing constructions with a compass?

Learning Objectives:

  • To identify and draw basic plane figures.
  • To identify and draw parallel, perpendicular and intersecting lines and planes.
  • To understand metric units.
  • To identify, estimate, measure and construct angles.
  • To classify triangles.
  • To identify polygons and find their perimeters.
  • To identify parts of a circle and find its circumference.
  • To identify congruent figures and their corresponding parts.
  • To construct geometric figures.
  • To understand and apply the Pythagorean Theorem.
  • To explore and understand properties of right triangles.

Skills:

  • Draw point, line, segment, angle and ray.
  • Find and draw collinear and noncollinear points.
  • Find and draw parallel, perpendicular and intersecting lines and planes.
  • Convert from one metric unit to another.
  • Measure line segments with metric units.
  • Measure angles by using a protractor.
  • Classify angles.
  • Classify triangles by their sides and angles.
  • Identify and name polygons by their number of sides.
  • Find the sum of the angle measures of any polygon.
  • Calculate perimeter of polygons.
  • Calculate circumference of circles.
  • Prove congruent triangles by SSS, SAS, and ASA.
  • Find corresponding parts of polygons by using rigid motions.
  • Use a compass and a straight edge to construct geometric figures.
  • Use properties of 30-60-90 and 45-45-90 right triangles.
  • Introduce trigonometric ratios.

Instructional Strategies & Activities:

  • Note taking
  • Games
  • Group work/cooperative learning
  • Independent explorations
  • Reflection and self-assessment
  • Solution sharing
  • Student-led discussions
  • Independent practice

Materials Utilized:

  • Textbook
  • Teacher generated materials
  • Tools
  • Technology
  • Manipulatives

Assessment Strategies:

  • Discussion
  • Daily class performance
  • Opener/warm-ups
  • Tests and quizzes