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Curriculum Map Common Core Standards Fulton Independent School District Subject/Course: Grade: Revision Date: Teacher: Geometry 10 7-28-14 Jennifer Dillon Timeline (Days or weeks/dates) UNIT 1 Basics Of Geometry UNIT 2 Segments, Angles, and Lines Content ACT Quality Core Standard(s) Points, Lines, and Planes C.1.a, D.1.a, D.1.e Linear Measure C.1.a, D.1.a Distance and Midpoints G.1.b Angle Measure C.1.a, D.1.a Angle Relationships D.1.b Two-Dimensional Figures D.2.h, F.1.a, F.1.b Vocabulary, Theorems, and Postulates C.1.b, C.1.c, C.1.e Proving Segment Relationships C.1.a Proving Angle Relationships C.1.a Learning Target I can identify and model points, lines, and planes I can identify intersecting lines and planes I can calculate segment measures I can find the distance between two points I can find the midpoint of a segment when given two points I can find the missing endpoint of a segment when given the other endpoint and the midpoint I can measure and classify angles I can identify and use congruent angles and the bisector of an angle I can identify and use special pairs of angles I can identify perpendicular lines I can identify and name polygons I can find perimeter, circumference, and area of two-dimensional figures I can understand vocabulary used in theorems and postulates I can identify and use basic postulates involving points, lines, and planes I can identify and use properties of real numbers I can write proofs involving segment addition I can write proofs involving congruence I can write proofs involving supplementary and complementary angles I can write proofs involving congruent and right angles Correspondence with Textbook or Supplemental Material Chapter 1 Section 1 Chapter 1 Section 2 Chapter 1 Section 3 Chapter 1 Section 4 Chapter 1 Section 5 Chapter 1 Section 6 Chapter 2 Sections 16 Chapter 2 Section 7 Chapter 2 Section 8 UNIT 3 Triangles Parallel Lines and Transversals C.1.d, D.1.c Angles and Parallel Lines C.1.d, D.1.c Slopes of Lines G.1.a Equations of Lines G.1.a Proving Lines Parallel C.1.d, D.1.f, G.1.a Perpendiculars and Distance C.1.d, D.1.f, G.1.a Classifying Triangles D.2.a Angles of Triangles C.1.e Congruent Triangles C.1.g, E.1.b Proving Congruence: SSS, SAS C.1.f, E.1.b Proving Congruence: ASA, AAS C.1.f, E.1.b Congruence in Right Triangles C.1.f, E.1.b Isosceles and Equilateral Triangles D.2.j I can identify the relationship between two lines of two planes I can name angle pairs formed by parallel lines and transversals I can use theorems to determine the relationship between specific pairs of angles I can use algebra to find angle measurements I can find slopes of lines I can use slope to identify parallel and perpendicular lines I can write an equations of a line given information about the graph I can solve problems by writing equations I can recognize angle pairs that occur with parallel lines I can prove that two lines are parallel I can find the distance between a point and a line I can find the distance between two parallel lines I can identify and classify triangles by angle measures and side measures I can apply the Triangle-Sum Theorem I can apply the Exterior Angle Theorem I can name and use corresponding parts of congruent triangles I can prove triangles congruent using the definition of congruence Chapter 3 Section 1 I can use the SSS and SAS Postulates to test for triangle congruence I can use the ASA and AAS Postulates to test for triangle congruence I can prove right triangle congruence using LL, HA, LA, and HL congruence theorems I can use properties of isosceles and equilateral triangles Chapter 4 Section4 Chapter 3 Section 2 Chapter 3 Section 3 Chapter 3 Section 4 Chapter 3 Section 5 Chapter 3 Section 6 Chapter 4 Section 1 Chapter 4 Section 2 Chapter 4 Section 3 Chapter 4 Section 5 Chapter 4 Section 5 Extended Lesson Chapter 4 Section 6 UNIT 4 Quadrilaterals Congruence Transformations E.1.b, E.1.e Triangles and Coordinate Proof G.1.c **Bisectors of Triangles D.2.b **Medians and Altitudes of Triangles D.2.b, (D.2.d) The Triangle Inequality D.2.c Inequalities in Two Triangles E.1.c Angles of Polygons D.2.i Parallelograms C.1.i, D.2.g, G.1.c Tests for Parallelograms C.1.i, D.2.g Rectangles C.1.i, D.2.g, G.1.c Rhombi and Squares C.1.i, D.2.g, G.1.c I can identify congruence transformations I can verify congruence of figures after a congruence transformation I can position and label triangles for use in coordinate proofs I can use coordinate geometry to write proofs I can identify and use perpendicular bisectors in triangles I can identify and use angle bisectors in triangles I can identify and use medians and altitudes in triangles I can use the Triangle Inequality Theorem to identify possible triangles I can prove triangle relationships using the Triangle Inequality Theorem I can apply the Hinge Theorem or its converse to make comparisons in two triangles I can prove triangle relationships using the Hinge Theorem or its converse I can find and use the sum of the measures of the interior angles of a polygon I can find and use the sum of the measures of the exterior angles of a polygon I can recognize and apply properties of the sides and angles of parallelograms I can recognize and apply the properties of the diagonals of parallelograms Chapter 4 Section 7 I can recognize conditions that ensure a quadrilateral is a parallelogram I can prove that a set of points form a parallelogram in the coordinate plane I can recognize and apply properties of rectangles I can determine whether parallelograms are rectangles I can recognize and apply properties of rhombi and squares I can determine whether quadrilaterals are rectangles, rhombi, or squares Chapter 6 Section 3 Chapter 4 Section 8 Chapter 5 Section 1 Chapter 5 Section 2 Chapter 5 Section 5 Chapter 6 Section 1 Chapter 6 Section 2 Chapter 6 Section 4 Chapter 6 Section 5 Kites and Trapezoids UNIT 5 Similarity UNIT 6 Triangle Trigonometry UNIT 7 Transformations C.1.i, D.2.g, G.1.c Ratios and Proportions Similar Polygons E.1.c, E.1.d Similar Triangles C.1.h, E.1.c Parallel Lines and Proportional Parts D.1.f Parts of Similar Triangles C.1.h Geometric Mean E.1.g The Pythagorean Theorem and its Convers Special Right Triangles D.2.e, D.2.f Trigonometry H.1.b, H.1.c Angles of Elevation and Depression E.1.c, H.1.c The Law of Sines and Cosines (Pre-Alg 2) Reflections G.1.e H.1.a I can recognize and apply properties of trapezoids, including the medians of trapezoids I can recognize and apply the properties of kites I can write ratios I can write and solve proportions I can use proportions to identify similar polygons I can solve problems using the properties of similar polygons I can identify similar triangles using the AA Similarity Postulate and the SSS and SAS Similarity Theorems I can use similar triangles to solve problems I can use proportional parts within triangles I can use proportional parts with parallel lines I can recognize and use proportional relationships of corresponding segments of similar triangles I can use the Triangle Angle Bisector Theorem I can find the geometric mean between two numbers I can solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse I can use the Pythagorean Theorem and its converse I can use the properties of 45°45°-90° triangles I can use the properties of 30°60°-90° triangles I can find trigonometric ratios using right triangles I can use trigonometric ratios to find angle measures in right triangles I can solve problems involving angles of elevation and depression I can use angles of elevation and depression to find the distance between two objects I can use the Law of Sines to solve triangles I can use the Law of Cosines to solve triangles I can draw reflections I can draw reflections in the coordinate plane Chapter 6 Section 6 Chapter 7 Section 1 Chapter 7 Section 2 Chapter 7 Section 3 Chapter 7 Section 4 Chapter 7 Section 5 Chapter 8 Section 1 Chapter 8 Section 2 Chapter 8 Section 3 Chapter 8 Section 4 Chapter 8 Section 5 Chapter 8 Section 6 Chapter 9 Section 1 UNIT 8 Circles Translations G.1.e Rotations G.1.e Compositions of Transformations E.1.e, G.1.e Symmetry E.1.a Dilations G.1.e Circles and Circumference D.3.a, D.3.d, F.1.c, F.1.e Measuring Angles and Arcs D.3.b, D.3.c, F.1.c Arcs and Chords D.3.a, D.3.b Inscribed Angles D.3.b, D.3.c, D.3.d Tangents D.3.a, D.3.d Secants, Tangents, and Angle Measures D.3.a, D.3.c Special Segments in a Circle D.3.c Equations of Circles G.1.d I can draw translations I can draw translations in the coordinate plane I can draw rotations I can draw rotations in the coordinate plane I can draw glide reflections and other compositions of isometries in the coordinate plane I can draw compositions of reflections in parallel and intersecting lines I can identify line and rotational symmetries in twodimensional figures I can draw dilations I can draw dilations in the coordinate plane I can identify and use parts of circles I can solve problems involving the circumference of a circle I can identify central angles, major arcs, minor arcs, and semicircles, and find their measures I can find arc length I can recognize and use relationships between arcs, chords, and diameters I can find measures of inscribed angles I can find measures of angles of inscribed polygons I can use properties of tangents I can solve problems involving circumscribed polygons I can find measures of angles formed by lines intersecting on or inside a circle I can find the measure of angles formed by lines intersecting outside the circle Chapter 9 Section 2 I can find measures of segments that intersect in the interior of a circle I can find measures of segments that intersect in the exterior of a circle I can write the equation of a circle I can graph a circle in the coordinate plane Chapter 10 Section 7 Chapter 9 Section 3 Chapter 9 Section 4 Chapter 9 Section 5 Chapter 9 Section 6 Chapter 10 Section 1 Chapter 10 Section 2 Chapter 10 Section 3 Chapter 10 Section 4 Chapter 10 Section 5 Chapter 10 Section 6 Chapter 10 Section 8 UNIT 9 Area UNIT 10 Volume and Surface Area Areas of Parallelograms and Triangles F.1.a, F.1.b I can find perimeters and areas of parallelograms I can find perimeters and areas of triangles I can find areas of trapezoids I can find areas of rhombi and kites I can find areas of circles I can find areas of sectors of circles I can find areas of regular polygons I can find areas of composite figures I can find areas of similar figures by using scale factors I can find scale factors or missing measures given the areas of two similar figures I can identify and name threedimensional figures I can find surface area and volume I can draw isometric views of three-dimensional objects I can investigate cross sections of three-dimensional objects I can find lateral areas and surface areas of prisms I can find lateral areas and surface areas of cylinders I can find lateral areas and surface areas of pyramids I can find lateral areas and surface areas of cones I can find volumes of prisms and cylinders Areas of Trapezoids, Rhombi, and Kites F.1.a, F.1.b Areas of Circles and Sectors F.1.e Areas of Regular Polygons and Composite Figures F.1.a, F.1.b Areas of Similar Figures E.1.d Three-Dimensional Figures D.4.a Representations of Three-Dimensional Figures D.4.b, Surface Areas of Prisms and Cylinders F.2.a Surface Areas of Pyramids and Cones F.2.a Volumes of Prisms and Cylinders F.2.b Volumes of Pyramids and Cones F.2.b I can find volumes of pyramids and cones Surface Areas and Volumes of Spheres F.2.c Congruent and Similar Solids E.1.h **Geometric Probability F.1.c I can find the surface areas of spheres I can find the volume of spheres I can identify congruent or similar solids I can use properties of similar solids I can find probabilities by using length I can find probabilities by using area Chapter 11 Section 1 Chapter 11 Section 2 Chapter 11 Section 3 Chapter 11 Section 4 Chapter 11 Section 5 Chapter 1 Section 7 Chapter 12 Section 1 Chapter 12 Section 2 Chapter 12 Section 3 Chapter 12 Section 4 – Supplemental material needed for solving volume problems via cross sections of solids Chapter 12 Section 5 – Supplemental material needed for solving volume problems via cross sections of solids Chapter 12 Section 6 Chapter 12 Section 8 Chapter 13 Section 3