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Transcript
Textbook Sections correlated to CMS common-core pacing guide UNIT 1 PARALLEL AND PERPENDICULAR LINES Students will be able to… Find the lengths of a line segment Find the midpoint of a line segment Determine angle relationships of intersecting lines Write linear equations of parallel & perpendicular lines Interpret slopes of parallel and perpendicular lines Prove lines parallel or perpendicular 1.2 Points, Lines, and Planes 1.3 Measuring Segments 1.4 Measuring Angles 1.5 Exploring angle pairs 1.6 Basic constructions 1.7 Midpoint and Distance 2.6 Proving Angles Congruent 3.1 Lines and Angles 3.2 Properties of Parallel Lines 3.3 Proving Lines Parallel 3.4 Parallel and Perpendicular lines 3.6 Constructing Parallel and Perpendicular lines 3.7 Equations of Lines 3.8 Slopes of Parallel/Perpendicular lines UNIT 2 TRANSFORMATIONS Students will be able to… Identify symmetry in a figure Perform transformations of figures Identify transformations on a coordinate plane 9.1 Translations 9.2 Reflections 9.3 Rotations 9.5 Dilations 9.6 Composition of Reflections UNIT 3 CONGRUENCE AND TRIANGLES Students will be able to… Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. Use properties of Midsegments to solve problems Use properties of perpendicular and angle bisectors to solve problems 3.5 Parallel Lines and Triangles 4.1 Congruent Figures 4.2 Triangle Congruence by SSS, SAS 4.3 Triangle Congruence by ASA, AAS 4.6 Triangle Congruence by HL 5.1 Midsegments of Triangles 5.4 Medians and Altitudes UNIT 4 QUADRILATERALS Students will be able to… Compute angle measures as well as the sums of interior and exterior angles of a polygon Classify quadrilaterals Apply properties of quadrilaterals and their diagonals Use algebra to compute angle measures and side measures of a polygon Use coordinate geometry to classify and prove relationships (i.e. theorems) among quadrilaterals Write variable coordinates to figures in the coordinate plane Compute area of triangles and quadrilaterals 6.1 The Polygon Angle-Sum Theorems 6.2 Properties of Parallelograms 6.3 Proving a Quadrilateral is a Parallelogram 6.4/6.5 Properties and Conditions of Rhombuses, Rectangles, and Squares 6.6 Trapezoids and Kites 6.7 Polygons in the Coordinate Plane 6.8 Applying Coordinate Geometry UNIT 5 SIMILARITY AND TRIANGLE SIMILARITY Students will be able to… Prove the AA Similarity Theorem Determine whether two figures and/or triangles are similar using similarity transformations Apply knowledge of similar triangles to solve problems, which include setting up proportions, and finding angle measures & side lengths. 7.2 Similar Polygons 7.3 Proving Triangles Similar 7.4 Proving Right Triangles Similar 7.5 Proportions in Triangles UNIT 6 TRIGONOMETRY Students will be able to… Prove the Pythagorean Theorem using triangle similarity Apply the properties of special right triangles to find side lengths Set up trigonometric ratios in right triangles and use these ratios to solve problems (find side lengths and angle measures). Use the Pythagorean Theorem and trigonometric ratios to solve right triangles in applied math problems and word problems. 8.1 Pythagorean Theorem and Its Converse 8.2 Special Right Triangles 8.3 Trigonometry 8.4 Angles of Elevation and Depression UNIT 7 VOLUME Students will be able to… Students will use formulas to find the volume of prisms, cylinders, pyramids, cones, and spheres. Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Find the volume of cylinders, pyramids, cones, and spheres in contextual problems. Apply concepts of density based on area and volume in modeling situations Apply geometric methods to solve design problems 11.2 Surface Areas of Prisms and Cylinders 11.3 Surface Areas of Pyramids and Cones 11.4 Volumes of Prisms and Cylinders 11.5 Volumes of Pyramids and Cones 11.6 Surface Areas and Volumes of Spheres UNIT 8 CONIC SECTIONS – CIRCLES AND PARABOLAS Students will be able to… Identify a tangent and use properties of tangent as it relates to a circle Compute chord, arc, and angle measures Find arc length given the arc’s central angle and the circle’s diameter or radius Find lengths of segments related to circles and its intersecting lines Write the equation of a circle given its center and radius Identify conic sections Write the equation of a parabola given its directrix and focus. 10.6 Circles and Arcs 12.1 Tangent Lines 12.2 Chords and Arcs 12.3 Inscribed Angles 12.4 Angle Measures and Segment Lengths 12.5 Circles in the Coordinate Plane Algebra II: 10.2 Circles Algebra II: 10.3 Parabolas Algebra II: Completing the Square with Parabolas and Circles UNIT 9 PROBABILITY Students will be able to… Determine if theoretical or experimental probability is the best course of action to solve a problem. Use dependent and independent computations to solve probabilities. Algebra II: 11.1 Combinations and Permutations Algebra II: 11.2 Probability 10.8 Geometric Probability Algebra II: 11.3 Probability of Multiple Events Algebra II: 11.4 Conditional Probability