Download Geometry Learning Targets Section Section Title Learning Targets I

Geometry Learning Targets
Chapter 1: Essentials of Geometry
Section
Section Title
1.1
Identify Points, Lines, and
Planes
1.2
Use Segments and
Congruence
1.3
Use Midpoint and Distance
Formulas
1.4
Measure and Classify Angles
1.5
Describe Angle Pair
Relationships
Learning Targets
I Can…
1. Identify, correctly label, and sketch the following geometric
figures: point, line, plane, collinear points, coplanar points,
segment, ray, opposite rays.
2. Use segment addition to calculate segment lengths.
3. Justify segment congruence on the coordinate plane.
4. Use the definitions of midpoint and segment bisector to
calculate segment lengths.
5. Calculate the coordinates of the midpoint of a segment using
the midpoint formula.
6. Calculate the length of a segment using the distance formula.
7. Identify, correctly label, and sketch the following: acute, right,
obtuse, and straight angles, congruent angles, and angle
bisectors.
8. Use angle addition to calculate angle measures.
9. Use the angle bisector definition to calculate angle measures.
10. Use the definitions of complementary, supplementary, and
adjacent angles to calculate angle measures.
11. Identify and solve for angle measures using linear pairs.
12. Identify and solve for angle measures using vertical angles.
Chapter 2A: Reasoning
1. Describe and find terms in patterns
2. Make and test conjectures
3. Find a counterexample
4. Rewrite a statement in if-then form
5. Write biconditional and related conditional statements
(converse, inverse, contrapositive)
6. Use the Laws of Detachment and Syllogism
7. Use inductive and deductive reasoning
2.1
Use Inductive Reasoning
2.2
Analyze Conditional
Statements
2.3
Apply Deductive Reasoning
2.4
Use Postulates and Diagrams
2.5
Reason Using Properties from
Algebra
Chapter 2B: Proof
1. Use the distributive property and properties of equality
2. Write algebraic proofs
2.6
Prove Statements about
Segments and Angles
3. Identify and use properties (reflexive, symmetric, transitive)
4. Write two-column proofs for segments
2.7
Prove Angle Pair
Relationships
5. Write two-column proofs for angles
6. Use vertical angles congruence to find angle measures in
diagrams
8. Identify postulates from a diagram
9. Sketch and interpret diagrams
Geometry Learning Targets
Chapter 3A: Parallel Lines
1. Identify angle pairs formed by three intersecting lines
3.1
Identify Pairs of Lines and
Angles
3.2
Use Parallel Lines and
Transversals
2. Use angles formed by parallel lines and transversals
3.3
Prove Lines are Parallel
3. Use angle relationships to prove that lines are parallel
3.6
Prove Theorems about
Perpendicular Lines
4. Draw conclusions about parallel lines, transversals, and the
angles they create
3.4
(day1)
Chapter 3B: Write and Graph Linear Equations
Find and Use Slopes of Lines
1. Find slope of a line given two points, graph
2. Classify lines given the slope
3.4
(day2)
Find and Use Slopes of Lines
3. Find slopes of parallel and perpendicular lines
3.5
(day1)
Equations of Lines
4. Write the equation of a line given point and slope, two points,
graph
3.5
(day2)
Equations of Lines
5. Write the equation of parallel and perpendicular lines
3.5
(day3)
Equations of Lines
6. Graph equations of lines
4.1
Chapter 4: Congruent Triangles
Apply Triangle Sum Properties 1. Classify triangles
2. Find measures of angles in a triangle
4.7
Use Isosceles and Equilateral
Triangles
3. Use theorems about isosceles and equilateral triangles
4.2
Apply Congruence and
Triangles
4. Identify congruent figures
5. Solve for variables in congruent figures
Prove Triangles Congruent:
SSS, SAS, HL, ASA, AAS
6. Prove triangles are congruent
Use Congruent Triangles:
CPCTC
7. Use congruent triangles to prove corresponding parts
congruent.
4.3-4.5
4.6
Geometry Learning Targets
6.1
Ratios, Proportions, and the
Geometric Mean
Chapter 6: Similarity
1. Write, simplify and use ratios
2. Set up, solve, and use proportions
6.2
Use Proportions to Solve
Geometry Problems
3. Use proportions to find missing segments in triangles and
quadrilaterals
6.3
Use Similar Polygons
4. Use proportions to find missing parts of similar polygons
Prove Triangles Similar
5. Prove that triangles are similar
6.4-6.5
7.1
7.2
7.4
Chapter 7: Right Triangles and Trigonometry
Apply the Pythagorean
1. Use the Pythagorean Theorem to find missing side lengths in
Theorem
right triangles
2. Apply the Pythagorean Theorem to area of a triangle and real
world problems
Use the Converse of the
3. Classify triangles as acute, obtuse, or right when three sides
Pythagorean Theorem
are given
Special Right Triangles
4. Find missing sides and angles in 45-45-90 triangles
5. Find missing sides and angles in 30-60-90 triangles
Sine, Cosine, and Tangent
Ratios for Right Triangles
6. Find trigonometric ratios for angles in right triangles
7. Use trigonometric ratios to find missing sides in right triangles
7.7
Solve Right Triangles
8. Use inverse trigonometric ratios to find missing angles in right
triangles
9. Use trigonometric ratios to solve right triangles (find all sides
and angles)
1.6
Classify Polygons
8.1
Find Angle Measures in
Polygons
3. Find interior angle measures in polygons
4. Find interior and exterior angle measures in polygons
8.2
Use Properties of
Parallelograms
5. Find side and angle measures in parallelograms
8.3
Show that a Quadrilateral is a
Parallelogram
8.4
Properties of Rhombuses,
Rectangles, and Squares
6. Show that a quadrilateral is a parallelogram
7. Use algebra to find missing sides and angles in a
parallelogram
8. Identify special parallelograms: rhombuses, rectangles, and
squares
9. Use algebra to find missing sides and angles in special
parallelograms
7.5-7.6
Chapter 8: Quadrilaterals
1. Identify and classify polygons
2. Find side lengths of polygons
Geometry Learning Targets
8.5
Use Properties of Trapezoids
and Kites
10. Identify special quadrilaterals: trapezoids and kites
11. Use algebra to find missing sides and angles in special
quadrilaterals
12. Use the properties of quadrilaterals to identify and classify
quadrilaterals using characteristics of the 7 types of quadrilaterals
8.6
Identify Special Quadrilaterals
11.1
Chapter 11: Measuring Length and Area
Areas of Triangles and
1. Find areas of parallelograms and triangles.
Parallelograms
11.2
Areas of Trapezoids,
Rhombuses, and Kites
2. Find areas of trapezoids, rhombuses, and kites.
11.3
Perimeter and Area of Similar
Figures
3. Use ratios to find area and perimeter of similar figures.
11.4
Circumference and Arc length
4. Find circumference and arc length for a circle.
11.5
Areas of Circles and Sectors
5. Find area and sector area of circles.
11.6
Areas of Regular Polygons
6. Find area and perimeter of regular polygons.
11.7
Use Geometric Probability
7. Find geometric probabilities.
12.1
Explore Solids
12.2
Surface Area of Prisms and
Cylinders
2. Solve problems using surface area of prisms and cylinders.
12.3
Surface Area of Pyramids and
Cones
3. Solve problems using surface area of pyramids and cones.
12.4
Volume of Prisms and
Cylinders
4. Solve problems using volume of prisms and cylinders.
12.5
Volume of Pyramids and
Cones
5. Solve problems using volume of pyramids and cones.
12.6
Surface Area and Volume of
Spheres
6. Solve problems using surface area and volume of spheres.
12.7
Explore Similar Solids
7. Apply similarity properties to solids.
Chapter 12: Surface Area and Volume of Solids
1. Identify, classify, and describe solids.
Geometry Learning Targets
9.1
Chapter 9: Properties of Transformations
Translate Figures and Use
1. Produce an image of the translation (slide) a preimage on a
Vectors
coordinate plane.
9.3
Perform Reflections
2. Produce an image after the reflection of a preimage on a
coordinate plane.
9.4
Perform Rotations
4. Produce an image after the rotation of a preimage on a
coordinate plane.
9.5
Apply Compositions of
Transformations
5. Produce an image after more than one transformation of a
preimage on a coordinate plane.
9.6
Identify Symmetry
9.7
Identify and Perform Dilations
6. Determine if a figure has line symmetry and find its line of
symmetry.
7. Determine if a figure has rotational symmetry and find its
degree of rotation.
8. Produce an image after the dilation of a preimage on a
coordinate plane.