Fink, Perry
Mr. Fink's Classes
 
Geometry
Alg II
Trigonometry
College Alg
Drivers Education
 
 
 
 
Conact Info
E mail  perry.fink@canbylancers.org
 
Curriculum Map Geometry
 
 

Week/

Month

Content

Skills for Student Achievement

Assessment

Performance Standards Addressed

Essential Questions

WEEK 1

Essentials Of Geometry

 

Identify Points,Lines,and Planes
 
Use segments and Congruence
 
Use Midpoint and Distance Formulas
 
Measure and Classify
Angles
 
Describe Angles Pair Relationships
 
Classify Polygons
 
Find Perimeter, Circumference and Area
  • TEST
  • DAILY WORK
  • VOCAB TEST
Calculate measurements of plane and solid geometric figures: know that physical measurements depend on the choice of a unit and that they are approximations
  • Classify Angles by size

WEEK 2-3

Reasoning and Proof

Use Inductive Reasoning

Analyze Conditional sentences
 
Apply Deductive Reasoning
 
Use postulates and Diagrams
 
Reason Using Properties from Alg
 
Prove statements about Segments and Angles
 
Prove Angle pair Relationships
 
  • TEST
  • DAILY WORK
  • VOCAB SYMBOL TEST

 

Construct logical arguments based on axioms,definitions and theorems.Prove theorems and other results in Geometry

WEEK 4-5

Parallel and Perpendicular Lines

Identify Pairs and Lines and Angles

Use Parallel lines and transversals
 
Prove Lines are Parallel
 
Find and Use Slopes of Lines
 
Write and Graph Equations of lines
 
Prove Theorems about Perpendicular Lines
 
  • TEST
  • DAILY WORK
  • VOCAB/ SYMBOLTEST
Construct logical arguments , based on Axioms, definitions and theorems. Prove theorems and other results in Geometry
  • Calculate the slope of a line
    Identify parallel lines

WEEK 6-7

Congruent Triangles
Apply Triangle Sum Prop.
 
Apply Congruence and triangles
 
Prove Triangles by SSS,SAS,HL, ASA, AAS
 
Use Conguent Triangles
 
Use Isosceles and Equilateral Triangles
 
 

 

  • Test
  • Daily Work
Know and apply properties of geometric figures to solve real world and mathematical problems and to logically justify results in geometry
 

WEEK 7-9

Relationships within Triangles

 

Midsegment Theorem and Coordinate Proof

Use Perpendicular Bisectors

Use Angle Bisectors of Triangles

Use Medians, and Altitudes
 
Use Inequalities in a Triangle
  • Test
  • Daily Work
  • Solve real-world and mathematical geometric problems using algebraic methods

WEEK 10

Similarity
Ratios, Proportions and Geometric Mean

Use proportions to solve Geometry Problems

Use Similar Triangles

Prove triangles Similar by AA, SSS, SAS

Use Proportionality Theorems

  • TEST
  • DAILY WORK
  • Know and apply properties of geometric figures to solve real-world and mathematical problems and to logically justify results in geometry

WEEK 11,12

Right Triangles and Trigonometry
Apply Pythagoreans Theorem

Usethe converse of Pythagorean Theorem

Use similar Right Triangles

Use special triangles

ApplyTangent, Sine and Cosine Ratios
 
Solve Right Triangles
  • TEST
  • DAILY WORK
  • Solve real-world and mathematical problems using algebraic methodsKnow and applyproperties of geometricfigures to solve real-world problems and logically justify results in geometry

Apply pythagoreran Theorem to solve problems

WEEK 13,14

Quadrilaterals
Find Angle measurements in Polygons

Use Properties of Parallelograms

Show That a Quadrilateral is a Parallelogram
 
Prop. of Rhombus, Rectangle and Square
 
Use Prop. of Trapezoid, and Kites
 
Identify special Quadrilaterals
  • TEST

DAILY WORK

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

WEEK 15

Measuring Length and Area

Area of Triangles and Parallelograms

Area of Trapezoids, Rhombuses and Kites
 
Perimeter and Area of similar Figures
 
Circumference and Arc length
 
Area Of Circles and Sectors
 
Area of Regular Polygons
 
 
 
  • TEST
  • DAILY WORK

 

  • Calculate measurements of plane and solid figures: know that physical measurements depend on the choice of a unit and they are approximations
  • Know and apply circle properties to solve problems

WEEK 16

  • Surface Area and Volume of Solids
Explore Solids

Surface area ofPrisms and Cylinders

Surface Area Of Prisms, and Cones

Surface Areaof Pyramids and Cylinders

Volume of Prisms and Cylinders

Volume of Pyramids and Cones

Surface Area and Volume of Spheres
TEST
 
DAILY WORK


  • Calculate measurements of plane and solid geometric figures: knowthat physicalmeasurements depend on the choice of a unit and they are approximations

WEEK 17, 18

  • Chapters 10-12 Algebra I
  • TEST
  • DAILY WORK



WEEK

  • GRAD PACKAGE
  • ENLARGE A PICTURE TO SCALE
  • MAKE A BLUE PRINT OF A HOME- REDUCING SCALE



  • HAND IN
  • DAILY WORK

 

Curriculum Map Trigonmetry
 

Week/

Month

Content

Skills for Student Achievement

Assessment

Performance Standards Addressed

Essential Questions

WEEK 1 & 2

· CARTESIAN PLANE

· DISTANCE FORMULA

· APPROXIMATE NUMBER

· ANGULAR UNITS

· CONVERT DEGREES TO RADIANS

· CONVERT RADIANS TO DEGREES

· COMPUTE ARC LENGTH, ANGULAR SPEED, AND LINEAR SPEED

· GRAPH ON THE X,Y PLANE

· CALCULATE THE DISTANCES BETWEEN TWO POINTS

· USE AND COMPUTE WITH SIGNIFICANT DIGITS AND SCIENTIFIC NOTATION

 

· TEST

· DAILY TEST

·

·

WEEK

3 & 4

· TRIG FUNCTIONS

· SPECIAL TRIANGLE

· REFERENCE ANGLES

· CIRCULAR FUNCTIONS

· FIND TRIG VALUES ON CALCULATOR

· IDENTIFY 6 TRIG FUNCTION AND CALCULATE

· FIND EXCEPT VALUE OF TRIG FUNCTIONS USING SPECIAL TRIANGLES

· FIND AND CALCULATE TRIG FUNCTIONS USING REFERENCE ANGLES

· TEST

· DAILY WORK

·

·

WEEK

5

· SOLVING RIGHT TRIANGLES

· ANGLES OF ELEVATION DEPRESSION

· SURVEYING-MARINE NAVIGATION & AIR NAVIGATION

· SOLVE STORY PROBLEMS USING TRIG FUNCTIONS

· DRAW PICTURES FROM GIVEN INFORMATION

 

· TEST

· WORK SHEETS

 

·

·

WEEK 6

· TRIG IDENTITIES

· REDUCE & SIMPLIFY TRIG FUNCTIONS USING TRIG IDENTITIES

· TEST

· WORK SHEETS

·

·

WEEK 7

· SOLVING OBLIQUE TRIANGLES

· SOLVE NON RIGHT TRIANGLES WITH LAW OF SINES AND LAW OF COSINES

· TEST

· WORK SHEETS

·

·

WEEK 8

· GRAPHING SIN, COS, TAN FUNCITONS

· IDENTITY PERIOD, PHASE SHIFT AND AMPLITUDE FOR TRIG GRAPHS

· TEST

· DAILY WORK

·

·

 

 

 

· PAPER

·

·

WEEK 10 & 11

· POINT OF DIVISION

· SLOPE AND INCLINATION

· PARALLEL AND PERPENDICULAR LINES

· ANGLES BTWEEN LINES

· POINTS OF INTERSECION

· FIND DISTANCE BETWEEN TWO POINTS

· CALCULATE SLOPE AND INCLINATION BETWEEN TWO POINTS

· FIND SLOPE AND COMPARE SLOPES OF LINES

· CALCULATE ANGLES BETWEEN NON PARALLEL LINES

· FIND INTERSECTION POINTS OF LINES

· TEST

· DAILY WORKS

·

·

WEEK 12

· VECTORS

· CALCULATE, UNIT VECTORS, DOT PRODUCT AND ANGLES BETWEEN VECTORS

· SKETCH VECTOR AND CALCULATE RESULTANTS AND EQUILIBRIUMS

· TEST

· DAILY WORK

·

·

WEEK 13

· LINES

· WRITE EQUATIONS FOR LINE GIVEN VARIOUS INFORMATION

· GRAPH LINE GIVEN POINT SLOPE, POINT INTERCEPT AND TWO POINT FORMS

· CALCULATE DISTANCES FROM A POINT TO A LINE

· TEST

· DAILY WORK

·

·

WEEK 14

· CIRCLES

· COMPLETING THE SQUARE TO CALCULATE TO LOCATE THE CENTER AND THE RADIUS OF A CIRCLE

· WRITE EQUATION OF CIRCLES GIVEN THE CENTER AND RADIUS

· FIND INTERSECTION POINTS OF 2 CIRCLES, A CIRCLE AND A LINE

· FIND EQUATION OF A CIRCLE GIVEN 3 POINTS

· TEST

· DAILY WORK

·

·

WEEK 15 & 16

· CONIC SECTIONS

· PARABOLA

· ELLIPSE

· HYPERBOLA

· SKETCH GRAPHS OF PARABOLA, ELLIPSE, HYPERBOLAS

· IDENTIFY VERTICES, COVERTICES, FOCI, ASYMPTOTES. GIVEN AN EGUATION

· TEST

· DAILY WORK

 

·

·

WEEK

17 & 18

· CURVE SKETCHING

· CALCULATE SYMMETRY ABOUT X, Y AXIS AND ORIGIN

· SKETCH THE GRAPH OF POLYNOMIALS

· FIND THE X, Y INTERCEPT OF POLYNOMIALS

· EVALUATE GRAPH AT EXTREMES

· FIND ASYMPTOTES

· TEST

· DAILY WORK

·

·