Integrated Math 2

Avon Lake City Schools

Curriculum Framework

Integrated Math II

Course Overview:

Integrated Math II (9, 10, 11, 12) - 2 semesters - .50 credit each semester This course differs from Geometry, in that fewer objectives and applications are required. Also, time will be given to enhance Integrated I topics. Coordinates, transformations, area formulas, and three-dimensional figures will be stressed. A graphing calculator is required (TI-83 or TI-84, approximate cost: $100-$110). Prerequisites: Integrated Math I or Algebra I. This class meets one period daily for ½ unit of credit each semester.

Textbook (Title and Publishing Company):

Pearson Geometry (available upon request)

Online/Supplemental Materials:

  • IXL
  • Delta Math

Assessments:

  • Common assessments are given across all Integrated 2 courses
  • Ohio State Test

Content/Topics/Learning Goals

Subject to Pacing and Schedules

1st Quarter

Tools of Geometry

  • Points, lines, and planes
  • Measuring segments and angles
  • Exploring angle pairs
  • Midpoint and Distance in the Coordinate Plane
  • Nets

Reasoning and Proof

  • Patterns and Inductive Reasoning
  • Conditional Statements
  • Biconditionals and Definitions
  • Algebraic proofs
  • Segment Addition Proofs
  • Proving Angles Congruent

Parallel and Perpendicular Lines

  • Lines and Angles
  • Properties of Parallel Lines
  • Proving Lines Parallel
  • Slopes of parallel and perpendicular lines
  • Sum of interior angles of triangles
  • Exterior angles of triangles

2nd Quarter

Equations of lines in the coordinate plane

Congruent Triangles

  • Congruent figures
  • Triangle Congruence by SSS and SAS with basic proofs
  • Triangle Congruence by ASA and AAS with basic proofs
  • Using corresponding parts of congruent triangles
  • Isosceles and equilateral triangles
  • Congruence in right triangles (HL)
  • Congruence in overlapping triangles

3rd Quarter

Similarity

  • Ratios and Proportions
  • Similar Polygons
  • Similar Triangles
  • Simplifying and rationalizing radicals and pythagorean theorem
  • Similarity in right triangles
  • Proportions in triangles

Right Triangles and Trigonometry

  • The converse of the pythagorean theorem and pythagorean triples
  • Special right triangles including basic applications
  • Trigonometry
  • Angles of elevation and depression with basic applications
  • Translations
    • Reflections
    • Rotations
    • Compositions of Isometries
    • Dilations

4th Quarter

Circles

  • Chords and arcs
  • Inscribed angles
  • Angle measures and segment lengths
  • Circles in the coordinate plane

Probability

Area of regular polygons that include trigonometry

Surface area and volume of prisms, cylinders, pyramids, cones, and spheres

Last Updated: September, 2023