Montessori Upper Elementary Curriculum

Our Upper Elementary class curriculum includes Language Arts, Math, Science, and History objectives. Extra-curricular offerings including P.E., Spanish, art, computer technology, and music are also incorporated for all students.

Specific Objectives for Upper Elementary Geometry

Geometry

1.00 Fundamental concepts: Defines and identifies point, surface, solid, line
2.00 Plane geometry
     2.10 Lines: Define, identify, and construct
          2.10.1 Straight, curved, horizontal, vertical, oblique, perpendicular
          2.10.2 Line, ray, and line segment
          2.10.3 Parallel, convergent, and divergent
     2.20 Angles: Define, identify, and construct
          2.20.1 Right, straight, acute, obtuse, reflex, whole
          2.20.2 Adjacent, vertical, complementary and supplementary
          2.20.3 Vertical angles that are equal
          2.20.4 Sizes of angles
          2.20.5 Convex and reflex angles
     2.30 Exploration of three straight lines
          2.30.1 Alternate exterior, alternate interior, interior angles on
                    the same transversal and corresponding angles
          2.30.2 Parallel lines cut by a transversal2.30.2a Alternate lines are equal
          2.30.2b Corresponding angles are equal
          2.30.2c Exterior or interior angles on the same side as the transversal
                     are supplementary
     2.40 Correctly measures using ruler, protractor
3.00 Geometric Solids
     3.10 Defines and identifies: Ellipsoid, ovoid, sphere, cylinder, pyramid,
            rectangular prism, triangular prism
     3.20 Measures volume of simple solids
4.00 Defines and identifies congruent, similar, and equivalent figures
5.00 Properties of circles
     5.10 Defines and identifies: center, radius, diameter, circumference
     5.20 Defines and identifies: are, chord, segment, sector, annulus
     5.30 Understands relationship to a straight line: exterior/tangent/secant
     5.40 Understands intersecting circles, sets, etc.
6.00 Area and properties of polygons
     6.10 Triangles: equilateral, right, isosceles
     6.20 Squares, rectangles, parallelograms, rhombus, trapezoid
     6.30 Regular polygon
     6.40 Recognizes symmetry, mirror, flip, rotation, etc.
7.00 Defines and understands Pythagorean Theory
     7.10 Euclid on Pythagorean