Geometry Curriculum Map

 

Month

Content

Skills

 

Aug-Sept

Basic Geometric Terms

·       Understand and identify basic terms and figures

·       Use basic transformations within coordinate geometry

·       Use geometric tools to construct and measure figures

·       Use coordinate geometry to find the distance between two points and the midpoint of a segment

Sept-Oct

Logical Reasoning

  • Use logical reasoning skills to make and test conjectures, formulate counterexamples, follow logical arguments
  • Identify relationships between pairs of angles

Nov-Dec

Properties of two and three dimensional figures

  • Identify relationships of parallel lines with a transversal
  • Identify and describe polygons
  • Apply the interior and exterior angle sum of convex polygons to solve problems
  • Develop and apply the properties of quadrilaterals to solve problems
  • Calculate slopes of parallel, perpendicular, horizontal, and vertical lines
  • Given a set of points, determine the type of figure based on its properties
  • Solve problems using properties of angle (ex.  Interior, exterior, complementary, vertical, and angle sums)

Jan

Triangles

  • Determine and use the relationships of congruency (SSS, SAS, ASA, HL)
  • Make and test conjectures and formulate counterexamples
  • Use properties of 2 and 2 dimensional figures to determine unknown values

Feb-Mar

Properties of two and three dimensional figures

  • Use properties of two and three dimensional figures to determine unknown values
  • Compute length, perimeter or circumference, area, volume, and surface area of geometric figures with missing information and correctly identify the appropriate unit of measure of each
  • Use the Pythagorean Theorem and its converse to find the missing side lengths and to determine right, acute, obtuse, triangles
  • Apply 45-45-90 and 30-60-90 right triangle relationships to solve problems

April-May

 

  • Find angles measures and arc measures related to circles
  • Identify and describe relationship between tow chords that intersect in the interior of a circle
  • Identify and describe the relationship between two secants that intersect in the exterior of a circle
  • Identify and describe the relationship between a secant and a tangent that intersect in the exterior of a circle