Week/ Month | Content | Skills for Student Achievement | Assessment | Performance Standards Addressed | Essential Questions |
WEEK 1 | 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 | |||
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/ SYMBOL TEST | 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
| 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 | 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 | Use the converse of Pythagorean Theorem Use similar Right Triangles Use special triangles Apply Tangent, Sine and Cosine Ratios Solve Right Triangles | · TEST · DAILY WORK | Solve real-world and mathematical problems using algebraic methods Know and apply properties of geometric figures to solve real-world problems and logically justify results in geometry | |
WEEK 13,14 | Quadrilaterals | 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 | Surface area of Prisms and Cylinders Surface Area Of Prisms, and Cones Surface Area of Pyramids and Cylinders Volume of Prisms and Cylinders Volume of Pyramids and Cones Surface Area and Volume of Spheres | TEST | Calculate measurements of plane and solid geometric figures: know that physical measurements depend on the choice of a unit and they are approximations | |
WEEK 17, 18 | Chapters 10-12 Algebra I | · | · TEST · DAILY WORK | · | · |
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WEEK | · GRAD PACKAGE | · ENLARGE A PICTURE TO SCALE · MAKE A BLUE PRINT OF A HOME- REDUCING SCALE | ·HAND IN · DAILY WORK | · | · |
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 | · | · |
