Download Learning Targets Revised 10

GEOMETRY LEARNING TARGETS
Unit 1 – Establishing a Foundation for Geometry (Basics)
LT 1.1 – Identify, classify, and represent symbolically basic geometric terms. (G.CO.1)
- Points
- Lines
- Planes
- Segments
- Rays
- Angles
LT 1.2 – Use properties of segments to solve problems in one dimension. (G.GPE.6)
- Segment Addition Postulate
- Midpoint (one dimension)
- Segment Bisector
LT 1.3 – Recognize and Classify Various Angle Types (G.CO.1)
Angles
Obtuse
Acute
Straight
Right
Adjacent Angles
Vertical Angles
LT 1.4 – Use properties of angles to solve problems (G.CO.1)
- Angle Addition Postulate
- Definition of Angle Bisectors
- Vertical Angles
- Complementary Angles
- Supplementary Angles
- Linear Pairs
Unit 2 – Establishing a Foundation for Geometry pt. 2 (Shapes)
LT 2.1 – Identify and use Interior and Exterior Angles Theorems of Polygons
- Number of Sides/Angles
- Interior Angles Theorem
- Exterior Angles Theorem
- Sides of Regular Figures
LT 2.2 – Area and Perimeter (Circumference) of Shapes (G.GPE.7)
- Triangle
- Rectangle
- Regular Polygons
- Circle
LT 2.3 – Use the Pythagorean to find missing parts of a triangle
- Use the Pythagorean Theorem
- Use the Converse of the Pythagorean Theorem
LT 2.4 – Trigonometry I
- Identify Sine, Cosine, and Tangent (G.SRT.6)
- Use Sine, Cosine, and Tangent to Determine Side Lengths (G.SRT.8)
LT 2.5 – Trigonometry II
- Use Inverse Trig Functions to Determine Angle Measures (G.SRT.8)
Revised 8/15
Unit 3 – Introduction to Coordinate Geometry (Basics)
LT 3.1 – Use the Midpoint Formula
- Find the Midpoint
- Find an Endpoint
LT 3.2 – Use the Distance Formula (G.GPE.7)
- Find the Distance Between Two Points using the formula
- Use the Pythagorean Theorem to find the Distance between two point on the coordinate plane
- Use distance formula to compare distances &/or shapes (G.GPE.4)
LT 3.3 – Write Equations of Parallel and Perpendicular Lines (G.GPE.5)
- Calculate Slope Between Two points
- Identify Parallel and Perpendicular Slopes
- Write the Equation of a Line from Given Information
LT 3.4 – Apply Transformations in the Coordinate Plane (G.CO.2, 3, 5)
- Translate Figures Using Coordinate Notation
- Rotate Figures About the Origin
- Reflect Figures Over Axes and Lines
- Compositions
Unit 4 – Parallel Lines and Transversals
LT 4.1 – Identify Angle Relationships
- Review Vertical Angles & Linear Pairs
- Corresponding Angles
- Alternate Interior
- Alternate Exterior
- Consecutive Interior
LT 4.2 –Use Angle Relationships to Solve Problems
- Corresponding Angles Postulate
- Alternate Interior Theorem
- Alternate Exterior Theorem
- Consecutive Interior Theorem
LT 4.3 – Identify and Prove Angle Relationships (G.CO.9)
- Introduce Two Column Proofs
- Prove Theorems for Alternate Interior, Alternate Exterior, Consecutive Interior
Unit 5 – Triangles
LT 5.1 – Basic Properties of Triangles (G.CO.10)
- Triangle Inequality
- Side length/Angle Measure Relationship
LT 5.2 – More Triangle Properties
- Angle Sum
- Isosceles (Base Angles)
- Equilateral
LT 5.3 – Congruent Triangles (G.SRT.5)
- Identify and Use SSS, SAS, ASA, AAS, HL
- Use CPCTC to Solve Problems
Revised 8/15
LT 5.4 – Write Formal Proofs of Triangle Congruence (G.CO.8)
- SSS, SAS, ASA, AAS, HL
- CPCTC
LT 5.5 – Special Segments of Triangles (omitted 2015-16)
- Altitudes
- Medians (Centroid)
- Mid-segments (Parallel & Half Base)
Unit 6 - Similarity
LT 6.1 - Use Properties of Ratios and Proportions in Application Settings
LT 6.2 – Determine if Polygons are Similar (G.SRT.2)
- Side Length Ratios
- Angle Congruence
LT 6.3 – Use Properties of Ratios and Proportions with Figures
- Solve for Unknowns (similar figures and word problems)
- Scale Factor
LT 6.4 – Identify if Triangles are Similar (G.SRT.3)
- SSS, AA, SAS
LT 6.5 – Perform Dilations in the Coordinate Plane
- Determine the Scale Factor from Dilations
- Use or Write the rule for a dilation
Unit 7 – Circles
LT 7.1 – Equations of Circles in Standard Form
- Identify the Center and Radius of a Circle
- Write the Equation of a Circle
- Graph a Circle in the Coordinate Plane
LT 7.2 – Arc Measures and Central Angles
- Identify Central Angles
- Identify Arc Measures using Central Angles
- Minor and Major Arcs, Semicircles
LT 7.3 – Lines and Segments with Circles
- Chords
- Secants(omit 2014-15)
- Tangents
LT 7.4 – Angles with Circles (G.C.2)
- Inscribed Angles
- Angles Inside the Circle (omit 2014-15)
- Angles Outside the Circle (omit 2014-15)
LT 7.5 – Finding arc length and area of sectors
Unit 8 – 3D Solids
LT 8.1 – Find Perimeter and Area of any Given Shape (Any shape on the reference sheet, regular polygons &
shapes that may need to use Pythagorean Theorem to find missing information)
LT 8.2 – Find Surface Area of any Basic Solid
- Prism, Cylinder, Pyramid, Cone, Sphere
LT 8.3 – Find Surface Area of Composite Solids
Revised 8/15
- Prism, Cylinder, Pyramid, Cone, Sphere
LT 8.4 – Find Volume of any Basic Solid
- Prism, Cylinder, Pyramid, Cone, Sphere
LT 8.5 – Find Volume of Composite Solids
- Prism, Cylinder, Pyramid, Cone, Sphere
Unit 9 - Reasoning and Formal Proofs
LT 9.1 – Conditional Statements
- Make and Analyze Conditional Statements
- Make and Analyze Converse Statements
- Make Biconditional Statements
- Provide Counter Examples for Invalid Statements
LT 9.2 – Inductive and Deductive Reasoning
- Use Inductive or Deductive Reasoning to Make a Conclusion
- Law of Syllogism
- Law of Detachment
- Differentiate Between the Use of Inductive or Deductive Reasoning
LT 9.3 – Two Column Proofs (G.CO.9)
- Use Properties or Definitions to Prove Statements from Given Information
- Properties of Congruence/Equality: Reflexive, Symmetric, Transitive, Substitution
- Segments: Congruence, Addition Postulate, Midpoint, Bisector Angles: Congruence, Addition
Postulate, Bisector, Vertical, Complementary, Supplementary, Linear Pairs, Angle Relationships
From Parallel Lines and Transversals
Unit 10 – Quadrilaterals
LT 10.1 – Classify Special Quadrilaterals (G.CO.11)
- Parallelogram
- Rhombus
- Rectangle
- Square
- Trapezoid
- Isosceles Trapezoid
- Kite
LT 10.2 – Use properties of special quadrilaterals
- Sides
- Angles
- Diagonals
Revised 8/15