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Standard: 9.3.2

Construct logical arguments, based on axioms, definitions and theorems, to prove theorems and other results in geometry.

9.3.2A Logical Arguments

Benchmarks:
  • 9.3.2.1 Logical Arguments
Grade:9-12
Subject:Math
Strand:Geometry & Measurement

9.3.2B Relationships, Arguments, & Proofs

Benchmarks:
  • 9.3.2.2 Logical Relationships
  • 9.3.2.3 Validity of a Logical Argument
  • 9.3.2.4 Proofs
Grade:9-12
Subject:Math
Strand:Geometry & Measurement

9.3.2C Technology Tools

Benchmarks:
  • 9.3.2.5 Technology Tools
Grade:9-12
Subject:Math
Strand:Geometry & Measurement

Standard: 9.3.3.2

The solar system, sun, and Earth formed over billions of years.

9.3.3.2 Solar System

Benchmarks:
  • 9.3.3.2.1 Formation of the Solar System
  • 9.3.3.2.2 Evolution of the Earth
  • 9.3.3.2.3 Conditions for Life
Grade:9-12
Subject:Science
Strand:Earth & Space Science
Substrand:The Universe

Standard: 9.3.3.3

The big bang theory states that the universe expanded from a hot, dense chaotic mass, after which chemical elements formed and clumped together to eventually form stars and galaxies.

9.3.3.3 Big Bang

Benchmarks:
  • 9.3.3.3.1 Formation of the Universe
  • 9.3.3.3.2 Formation of Stars
Grade:9-12
Subject:Science
Strand:Earth & Space Science
Substrand:The Universe

Standard: 9.3.3

Know and apply properties of geometric figures to solve real-world and mathematical problems and to logically justify results in geometry.

9.3.3A Line & Angle Relationships

Benchmarks:
  • 9.3.3.1 Parallel & Perpendicular Lines
  • 9.3.3.2 Angles
Grade:9-12
Subject:Math
Strand:Geometry & Measurement

9.3.3B Triangles

Benchmarks:
  • 9.3.3.3 Triangles
Grade:9-12
Subject:Math
Strand:Geometry & Measurement

9.3.3C Pythagorean Theorem & Right Triangles

Benchmarks:
  • 9.3.3.4 Pythagorean Theorem
  • 9.3.3.5 Right Triangles
Grade:9-12
Subject:Math
Strand:Geometry & Measurement

9.3.3D Congruent & Similar Figures

Benchmarks:
  • 9.3.3.6 Congruent & Similar Figures
Grade:9-12
Subject:Math
Strand:Geometry & Measurement

9.3.3E Properties of Polygons

Benchmarks:
  • 9.3.3.7 Properties of Polygons
Grade:9-12
Subject:Math
Strand:Geometry & Measurement