Coordinate Geometry and Transformations

サイト: Young Education
コース: Geometry and Proof
ブック: Coordinate Geometry and Transformations
印刷者: Invitado
日付: 2026年 09月 25日(金曜日) 01:53

1. Distance and Midpoint

Learning outcomes
  • I can calculate distances between points.
  • I can determine midpoint coordinates.
  • I can apply coordinate geometry formulas.
  • I can solve geometric problems on the coordinate plane.
  • I can interpret geometric relationships using coordinates.

2. Slopes and Equations of Lines

Learning outcomes
  • I can calculate the slope of a line.
  • I can identify parallel and perpendicular lines.
  • I can determine equations of lines.
  • I can solve problems involving linear relationships.
  • I can apply coordinate methods to geometry.

3. Transformations

Learning outcomes
  • I can perform translations.
  • I can perform reflections.
  • I can perform rotations.
  • I can perform enlargements (dilations).
  • I can describe transformations using mathematical notation.

4. Symmetry

Learning outcomes
  • I can identify lines of symmetry.
  • I can identify rotational symmetry.
  • I can determine the order of rotational symmetry.
  • I can describe symmetry in geometric figures.
  • I can apply symmetry to solve problems.

5. Coordinate Proof

Learning outcomes
  • I can prove geometric relationships using coordinates.
  • I can verify congruence using coordinate methods.
  • I can verify parallel and perpendicular lines algebraically.
  • I can justify geometric conclusions with calculations.
  • I can compare coordinate proofs with classical proofs.