Unit Std #

Theme

 Standard {The Student will be able to. . .}

State Std.

PH Chpt.

Unit 1: Proving Lines Parallel
1 1 Parallel Lines prove theorems involving properties of parallel lines cut by transversals 7.0 7.2
1 2 Construction continue to perform basic constructions with a straightedge and compass, to show lines parallel thru given points. 16.0 7.3
2 1 3 Parallel Lines prove lines parallel by using coordinate geometry 17.0 7.2
2 1 4 Parallel Lines show lines are parallel in a system of linear equations by using coordinate geometry 17.0 7.2

Unit 2: Triangle Congruence
2 2 5 Triangle Congruence prove triangles are congruent or similar using SAS & SSS 5.0 8.1
2 2 6 Triangle Congruence prove triangles are congruent or similar using ASA, AAS 5.0 8.2
2 2 7 Triangle Congruence prove triangles are congruent or similar using HL 5.0 8.3
2 2 6 Triangle Congruence prove triangles or parts of them are congruent or similar using CPCTC 5.0 8.4
2 2 7 Triangle Congruence prove basic theorems involving congruence 4.0 8.5

Unit 3: Writing Proofs
2 3 8 reasoning write geometric proofs 2.0 4.3
2 3 9 reasoning construct and judge the validity of a logical argument and give counter examples to disprove the argument 3.0 4.5
2 3 10 reasoning Prove or disprove a conjecture with a logical argument and counter examples. 3.0 4.5

Unit 4: Quadrilaterals
2 4 11 Quadrilaterals prove and use theorems involving properties of quadrilaterals 7.0 9
2 4 12 Quadrilaterals prove and use theorems involving properties of parallelograms 7.0 9.1/9.2
2 4 13 Quadrilaterals prove and use theorems involving properties of special parallelograms like Rhombi, Rectangle, & Square 7.0 9.3
2 4 14 Quadrilaterals prove and use theorems involving properties of special quadrilaterals like Trapezoids and Kites 7.0 9.4

Unit 5: Circles Revisited
2 5 19 Circles prove and use theorems involving properties of circles 7.0 12.6
2 5 20 Circles prove theorems by using coordinate geometry, including the equations of circles. 17.0 12.1
2 5 1 Circles prove and solve problems among chords, secants, tangents, circles. 21.0 12.2-12.3
2 5 21 Circles solve problems among inscribed angles, and inscirbed and circumscibed polygons of circles. 21.0 12.4-12.5

Unit 6: Similarity
2 6 11 Similarity prove basic theorems involving similarity 4.0 8
2 6 12 Similarity determine how changes in dimensions affect the perimeter, area of common geometric figures and solids. 11.0 10.5
2 6 13 Similarity determine how changes in dimensions affect the perimeter, volume of common geometric figures and solids. 11.0 10.6

Unit 7: Right Triangles Revisited
2 7 14 Right Triangles use the Pythagorean theorem to determine distance of missing lengths of sides of right triangles 15.0 5.3
2 7 15 Right Triangles know and able to use angle and side relationships in special right triangles (30°, 60°, 90°) & (45°, 45°, 90°) triangles. 20.0 5.4
2 7 16 Right Triangles know the definitions of the basic trigonometric functions {sine, cosine, & tangent} 18.0 11.1
2 7 17 Right Triangles use trigonometric functions to solve for unknown length of a side of a right triangle, given an angle and a side. 19.0 11.2
2 7 18 Right Triangles know elementary relationships of the basic trigonometric functions {ie: tan(x) = sin(x)/cos(x) & sinx2 + cosx2 = 1} 18.0 11

Unit 8: Measuring in Space
review 8 19 Area know and solve problems involving perimeter, circumference, area 8.0 5.1-5.5
review 8 20 Area compute areas of polygons, including rectangles, triangles, rhombi, parallelograms, and trapezoids. 10.0 5.1-5.5
review 8 21 Area compute areas of circles & sectors of Circles 10.0 5.7-5.8
2 8 22 Volume Understand and break apart various geometric figures into their resulting 2D net figures 9.0 6.1
2 8 23 Volume Compute the surface areas of prisms, pyramids, and cylinders, commiting their formulae to memory. 9.0 6.2-6.3
2 8 24 Volume Compute the volumes of prisms, pyramids, cylinders, cones, and spheres, commiting their formulae to memory. 9.0 6.4-6.5
2 8 25 Volume Compute the volumes of prisms, pyramids, cylinders, cones, and spheres, commiting their formulae to memory. 9.0 6.4-6.5
2 8 26 Volume compute the surface areas of cones, and spheres. 9.0 6.4-6.5