# Russell County Pacing Guide

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1 August Experiment with transformations in the plane. 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined notions of point, line, distance along a line, and distance around a circular arc. [G-CO1] I can give precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. Chapter 1 - textbook Point, line, plane, segment, Angle, line, Distance, ray, vertex, endpoint, collinear, coplanar, skew, construction, compass, protractor, coordinates, Cartesian coordinate system, perimeter, area, triangle, rectangle, vertical angles, linear pair, adjacent angles, complimentary and supplementary angles August Make geometric constructions. (Formalize and explain processes.) 12. Make formal geometric constructions with a variety of tools and methods such as compass and straightedge, string, reflective devices, paper folding, and dynamic geometric software. Constructions include copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. [G-CO12] I can make formal geometric constructions with a variety of tools and methods. Meaningful Math textbooks Point, line, plane, segment, Angle, line, Distance, ray, vertex, endpoint, collinear, coplanar, skew, construction, compass, protractor, coordinates, Cartesian coordinate system, perimeter, area, triangle, rectangle, vertical angles, linear pair, adjacent angles, complimentary and supplementary angles August May

2 August (continued) Use probability to evaluate outcomes of decisions. (Introductory; apply counting rules.) 42. (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). [S-MD6] I can use probabilities to make fair decisions. Chapter 13 - textbook Probability, Fair decisions, random August 43. (+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). [S-MD7] I can analyze decisions and strategies using probability concepts. Chapter 13 - textbook Probability, Fair decisions, random August Notes: May

3 September Prove geometric theorems. (Focus on validity of underlying reasoning while using variety of ways of writing proofs.) 9. Prove theorems about lines and angles. Theorems include vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; and points on a perpendicular bisector of a line segment are exactly those equidistant from the segment s endpoints. [G-CO9] I can prove theorems about lines and angles. Vertical angles are congruent. When a transversal crosses parallel lines, alternate interior angles are congruent. Corresponding angles are congruent points on a perpendicular bisector of a line segment exactly those equidistant from the segment s endpoints. Chapter 3 - Textbook Postulates (Axioms), Theorems, Paragraph and informal Proof, Deductive Argument, Geometric methods, Design problems, Typographic grid system, Construction, Compass September Use coordinates to prove simple geometric theorems algebraically. (Include distance formula; relate to Pythagorean Theorem.) 31. Prove the slope criteria for parallel and perpendicular lines, and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). [G-GPE5] I can prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems. Chapter 3 - textbook September May

4 Experiment with transformations in the plane. 5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. [G-CO5] I can, given a geometric figure and a rotation, reflection, or translation: Draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. Chapter 9 - textbook Transformation, reflections, translation, rotation, dilation, isometry, Composite horizontal stretch, vertical stretch, clockwise, counter-clockwise, symmetry, preimage, image, symmetry, line of symmetry, line symmetry, rotational symmetry, center of symmetry, order of symmetry, mapping, line of reflection, translation vector, center of rotation, angle of rotation, solids of revolution, compositions of transformation, glide reflections, tessellations, regular and uniform tessellations May

5 (continued) Understand congruence in terms of rigid motions. (Build on rigid motions as a familiar starting point for development of concept of geometric proof.) 6. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. [G-CO6] I can use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure. I can use the definition of congruence in terms of rigid motions to decide if two given figures are congruent. Chapter 9 - textbook Transformation, reflections, translation, rotation, dilation, isometry, Composite horizontal stretch, vertical stretch, clockwise, counter-clockwise, symmetry, preimage, image, symmetry, line of symmetry, line symmetry, rotational symmetry, center of symmetry, order of symmetry, mapping, line of reflection, translation vector, center of rotation, angle of rotation, solids of revolution, compositions of transformation, glide reflections, tessellations, regular and uniform tessellations 7. 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. [G-CO7] I can use the definition of congruence in terms of rigid motion to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding sides of angles are congruent. Chapter 9 - textbook Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Congruence, Included angle, included side, legs of an isosceles triangle, vertex angle, base angle, CPCTC May

6 (continued) 8. Explain how the criteria for triangle congruence, angle-side-angle (ASA), side-angleside (SAS), and side-side-side (SSS), follow from the definition of congruence in terms of rigid motions. [G-CO8] I can explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. Chapter 4 - Textbook Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Congruence, Included angle, included side, legs of an isosceles triangle, vertex angle, base angle, CPCTC Prove geometric theorems. (Focus on validity of underlying reasoning while using variety of ways of writing proofs.) 10. Prove theorems about triangles. Theorems include measures of interior angles of a triangle sum to 180º, base angles of isosceles triangles are congruent, the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length, and the medians of a triangle meet at a point. [G-CO10] I can prove theorems about triangles. Measures of interior angles of a triangle sum to 180. Base angles of isosceles triangles are congruent. The segment joining midpoints of two sides of a triangle is parallel to the third side and half the length. The medians of a triangle meet at a point. Chapter 5 - Textbook Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Congruence, Included angle, included side, legs of an isosceles triangle, vertex angle, base angle, CPCTC May

7 (continued) Understand similarity in terms of similarity transformations. 15. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. [G-SRT2] I can, given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar. I can explain using similarity transformations the meanings of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. Prove theorems involving similarity. 17. Prove theorems about triangles. Theorems include a line parallel to one side of a triangle divides the other two proportionally, and conversely; and the Pythagorean Theorem proved using triangle similarity. [G-SRT4] I can prove theorems about triangles: A line parallel to one side of a triangle divides the other two proportionally. The Pythagorean Theorem can be proved using triangle similarity. Chapter 5 - textbook Ratio, proportion, cross products, similar polygons, similar ratio, scale factor, midsegment of a triangle, dilation, scale factor of a dilation, scale model, scale drawing, scale, side ratios, trigonometric ratios, Sine, Cosine, Tangent, Secant, Cosecant, Cotangent, Angle of elevation, angle of depression, Law of Sines, Law of Cosines, Transit, Resultant force May

8 (continued) 18. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. [G-SRT5] I can use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Chapter 5 - textbook Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Congruence, Included angle, included side, legs of an isosceles triangle, vertex angle, base angle, CPCTC Apply geometric concepts in modeling situations. 41. Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost, working with typographic grid systems based on ratios).* [G-MG3] I can apply geometric methods to solve design problems. Meaningful Math textbooks Postulates (Axioms), Theorems, Paragraph and informal Proof, Deductive Argument, Geometric methods, Design problems, Typographic grid system, Construction, Compass Notes: May

9 November Understand similarity in terms of similarity transformations. 16. Use the properties of similarity transformations to establish the angle-angle (AA) criterion for two triangles to be similar. [G-SRT3] I can use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. November Notes: December No New are introduced in December. Notes: May

10 Prove geometric theorems. (Focus on validity of underlying reasoning while using variety of ways of writing proofs.) 11. Prove theorems about parallelograms. Theorems include opposite sides are congruent, opposite angles are congruent; the diagonals of a parallelogram bisect each other; and conversely, rectangles are parallelograms with congruent diagonals. [G-CO11] I can prove theorems about parallelograms. Opposite sides are congruent. Opposite angles are congruent. The diagonals of a parallelogram bisect each other. And, conversely, rectangles are parallelograms with congruent diagonals. Chapter 6 - Textbook parallelogram, rectangle, square, rhombus, kite, diagonal, trapezoid, trapezoid bases, trapezoid legs, midsegment of a trapezoid Define trigonometric ratios and solve problems involving right triangles. 19. Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle leading to definitions of trigonometric ratios for acute angles. [G-SRT6] I can explain that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. Chapter 8 - textbook Ratio, proportion, cross products, similar polygons, similar ratio, scale factor, midsegment of a triangle, dilation, scale factor of a dilation, scale model, scale drawing, scale, side ratios, trigonometric ratios, Sine, Cosine, Tangent, Secant, Cosecant, Cotangent, Angle of elevation, angle of depression, Law of Sines, Law of Cosines, Transit, Resultant force May

11 20. Explain and use the relationship between the sine and cosine of complementary angles. [G- SRT7] I can explain and use the relationship between the sine and cosine of complementary angles. Chapter 8 - textbook Ratio, proportion, cross products, similar polygons, similar ratio, scale factor, midsegment of a triangle, dilation, scale factor of a dilation, scale model, scale drawing, scale, side ratios, trigonometric ratios, Sine, Cosine, Tangent, Secant, Cosecant, Cotangent, Angle of elevation, angle of depression, Law of Sines, Law of Cosines, Transit, Resultant force 1/26/ Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.* [G-SRT8] I can use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Chapter 8 - textbook Ratio, proportion, cross products, similar polygons, similar ratio, scale factor, midsegment of a triangle, dilation, scale factor of a dilation, scale model, scale drawing, scale, side ratios, trigonometric ratios, Sine, Cosine, Tangent, Secant, Cosecant, Cotangent, Angle of elevation, angle of depression, Law of Sines, Law of Cosines, Transit, Resultant force May

12 (continued) Apply trigonometry to general triangles. 23. (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).[g- SRT11] I can explain and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles. Chapter 8 - textbook Ratio, proportion, cross products, similar polygons, similar ratio, scale factor, midsegment of a triangle, dilation, scale factor of a dilation, scale model, scale drawing, scale, side ratios, trigonometric ratios, Sine, Cosine, Tangent, Secant, Cosecant, Cotangent, Angle of elevation, angle of depression, Law of Sines, Law of Cosines, Transit, Resultant force Use coordinates to prove simple geometric theorems algebraically. (Include distance formula; relate to Pythagorean Theorem.) 30. Use coordinates to prove simple geometric theorems algebraically. [G-GPE4] I can use coordinates to prove simple geometric theorems algebraically. Chapter 3 - textbook parallelogram, rectangle, square, rhombus, kite, diagonal, trapezoid, trapezoid bases, trapezoid legs, midsegment of a trapezoid May

13 (continued) Use coordinates to prove simple geometric theorems algebraically. 34. Determine areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics. Chapter 10 - textbook Diameter, radius, circle, similar Central angles, inscribed angles, circumscribed angles, chord, circumscribed, tangent, perpendicular, construct, inscribed and circumscribed circles of an triangle, quadrilateral inscribed in a triangle, Opposite angles, consecutive angles, Tangent line, Tangent, point of tangency, constant of proportionality, arc, derive, arc length, radian measure, area of sector, central angle, chord segment, secant segment, Pythagorean Theorem, May

14 (continued) Apply geometric concepts in modeling situations. 39. Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).* [G-MG1] I can use geometric shapes, their measures, and their properties to describe objects. Point, line, plane, segment, Angle, line, Distance, ray, vertex, endpoint, collinear, coplanar, skew, construction, compass, protractor, coordinates, Cartesian coordinate system, perimeter, area, triangle, rectangle, vertical angles, linear pair, adjacent angles, complimentary and supplementary angles Notes: May

15 Experiment with transformations in the plane. 2. Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). [G-CO2] 3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself. [G-CO3] I can represent transformation in the plane using, for example, transparencies and geometry software I can describe transformation as functions that take points in the plane as inputs and give other points as outputs. I can compare transformations that preserve distance and angle to those that do not (for example, translation versus horizontal stretch). I can, given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it on to itself. Chapter 9 - textbook Chapter 9 - textbook Transformation, reflections, translation, rotation, dilation, isometry, composite horizontal stretch, vertical stretch, clockwise, counter-clockwise, symmetry, preimage, image, symmetry, line of symmetry, line symmetry, rotational symmetry, center of symmetry, order of symmetry, mapping, line of reflection, translation vector, center of rotation, angle of rotation, solids of revolution, compositions of transformation, glide reflections, tessellations, regular and uniform tessellations May

16 4. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. [G-CO4] I can develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. Chapter 9 - textbook Transformation, reflections, translation, rotation, dilation, isometry, compost, horizontal stretch, vertical stretch, clockwise, counter-clockwise, symmetry, preimage, image, symmetry, line of symmetry, line symmetry, rotational symmetry, center of symmetry, order of symmetry, mapping, line of reflection, translation vector, center of rotation, angle of rotation, solids of revolution, compositions of tansformation, glide reflections, tessellations, regular and uniform tessellations Make geometric constructions. (Formalize and explain processes.) 13. Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle. [G-CO13] I can construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle. Chapter 10 - textbook for quadrilaterals and triangles Find resource for hexagons May

17 (continued) Understand similarity in terms of similarity transformations. 14. Verify experimentally the properties of dilations given by a center and a scale factor. [G-SRT1] I can verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of a dilation to a parallel line, and leaves a line passing through the center unchanged. The dilation of a line segment is longer or shorter in the ratio given by the scale factor. Chapter 9 - textbook Transformation, reflections, translation, rotation, dilation, isometry, composite horizontal stretch, vertical stretch, clockwise, counter-clockwise, symmetry, preimage, image, symmetry, line of symmetry, line symmetry, rotational symmetry, center of symmetry, order of symmetry, mapping, line of reflection, translation vector, center of rotation, angle of rotation, solids of revolution, compositions of transformation, glide reflections, tessellations, regular and uniform tessellations 14a. A dilation takes a line not passing through the center of the dilation to a parallel line and leaves a line passing through the center unchanged. [G-SRT1a] Chapter 9 - textbook May

18 (continued) 14b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor. [G- SRT1b] Chapter 9 - textbook Transformation, reflections, translation, rotation, dilation, isometry, composite horizontal stretch, vertical stretch, clockwise, counter-clockwise, symmetry, preimage, image, symmetry, line of symmetry, line symmetry, rotational symmetry, center of symmetry, order of symmetry, mapping, line of reflection, translation vector, center of rotation, angle of rotation, solids of revolution, compositions of transformation, glide reflections, tessellations, regular and uniform tessellations May

19 (continued) Apply trigonometry to general triangles. 22. (+) Prove the Law of Sines and the Law of Cosines and use them to solve problems. [G-SRT10] I can prove the Law of Sines and Cosines and use them to solve problems. Chapter 8 - textbook Ratio, proportion, cross products, similar polygons, similar ratio, scale factor, midsegment of a triangle, dilation, scale factor of a dilation, scale model, scale drawing, scale, side ratios, trigonometric ratios, Sine, Cosine, Tangent, Secant, Cosecant, Cotangent, Angle of elevation, angle of depression, Law of Sines, Law of Cosines, Transit, Resultant force Understand and apply theorems about circles. 24. Prove that all circles are similar. [G-C1] I can prove that all circles similar. Chapter 10 - textbook Postulates (Axioms), Theorems, Paragraph and informal Proof, Deductive Argument, Geometric methods, Design problems, Typographic grid system, Construction, Compass May

20 (continued) 25. Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. [G-C2] 26. Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. [G-C3] I can identify and describe relationships among inscribed angles, radii, and chords. I can construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral in a circle. Chapter 10 - textbook Chapter 10 - textbook Diameter, radius, circle, similar Central angles, inscribed angles, circumscribed angles, chord, circumscribed, tangent, perpendicular, construct, inscribed and circumscribed circles of an triangle, quadrilateral inscribed in a triangle, Opposite angles, consecutive angles, Tangent line, Tangent, point of tangency, constant of proportionality, arc, derive, arc length, radian measure, area of sector, central angle, chord segment, secant segment, Pythagorean Theorem, 27. (+) Construct a tangent line from a point outside a given circle to the circle. [G-C4] I can construct a tangent line from a point outside a given circle to the circle. Chapter 10 - textbook May

21 (continued) Find arc lengths and areas of sectors of circles. (Radian introduced only as unit of measure.) 28. Derive, using similarity, the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. [G-C5] I can derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius and define the radian measure of the angle as the constant of proportionality. I can derive the formula for the area of a sector. Chapter 10 - textbook Diameter, radius, circle, similar, Central angles, inscribed angles, circumscribed angles, chord, circumscribed, tangent, perpendicular, construct, inscribed and circumscribed circles of an triangle, quadrilateral inscribed in a triangle, Opposite angles, consecutive angles, Tangent line, Tangent, point of tangency, constant of proportionality, arc, derive, arc length, radian measure, area of sector, central angle, chord segment, secant segment, Pythagorean Theorem Notes: May

22 March Translate between the geometric description and the equation for a conic section. 29. Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. [G-GPE1] I can derive the equation of a circle given center and radius using the Pythagorean Theorem. I can complete the square to find the center and radius of a circle given by an equation. Chapter 10 - textbook Diameter, radius, circle, similar Central angles, inscribed angles, circumscribed angles, chord, circumscribed, tangent, perpendicular, construct, inscribed and circumscribed circles of an triangle, quadrilateral inscribed in a triangle, Opposite angles, consecutive angles, Tangent line, Tangent, point of tangency, constant of proportionality, arc, derive, arc length, radian measure, area of sector, central angle, chord segment, secant segment, Pythagorean Theorem, March May

23 March (continued) Use coordinates to prove simple geometric theorems algebraically. (Include distance formula; relate to Pythagorean Theorem.) 32. Find the point on a directed line segment between two given points that partitions the segment in a given ratio. [G-GPE6] I can find the point on a directed line segment between two given points that partitions the segment in a given ratio. Chapter 3 - textbook Diameter, radius, circle, similar Central angles, inscribed angles, circumscribed angles, chord, circumscribed, tangent, perpendicular, construct, inscribed and circumscribed circles of an triangle, quadrilateral inscribed in a triangle, Opposite angles, consecutive angles, Tangent line, Tangent, point of tangency, constant of proportionality, arc, derive, arc length, radian measure, area of sector, central angle, chord segment, secant segment, Pythagorean Theorem March 33. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.* [G-GPE7] I can use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the Distance Formula. Chapter 1 - textbook Point, line, plane, segment, Angle, line, Distance, ray, vertex, endpoint, collinear, coplanar, skew, construction, compass, protractor, coordinates, Cartesian coordinate system, perimeter, area, triangle, rectangle, vertical angles, linear pair, adjacent angles, complimentary and supplementary angles March May

24 March (continued) Explain volume formulas and use them to solve problems. 35. Give an informal argument for the formulas for the circumference of a circle; area of a circle; and volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri s principle, and informal limit arguments. [G-GMD1] I can give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Chapter 10 - textbook Directed line segment, Partitions, Dilation, Scale factor, Density, Similarity, Constant of proportionality, Sector, Arc, Derive, Arc length, Radian measure, Area of sector, Central angle, Dissection arguments, Cavalieri's Principle, Cylinder, Pyramid, Cone, Ratio, Circumference, Parallelogram, Limits, Conjecture, Cross-section, Two-dimensional cross-sections, Two-dimensional objects, Threedimensional objects, Rotations, Conjecture, Cylinder, Pyramid, Cone, Sphere March 37. Determine the relationship between surface areas of similar figures and volumes of similar figures. Chapter 12 - textbook March May

25 March (continued) Apply geometric concepts in modeling situations. 40. Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, British Thermal Units (BTUs) per cubic foot).* [G-MG2] I can apply concepts of density based on area and volume in modeling situations. Meaningful Math textbooks Directed line segment, Partitions, Dilation, Scale factor, Density, Similarity, Constant of proportionality, Sector, Arc, Derive, Arc length, Radian measure, Area of sector, Central angle, Dissection arguments, Cavalieri's Principle, Cylinder, Pyramid, Cone, Ratio, Circumference, Parallelogram, Limits, Conjecture, Cross-section, Two-dimensional cross-sections, Two-dimensional objects, Threedimensional objects, Rotations, Conjecture, Cylinder, Pyramid, Cone, Sphere March Notes: May

26 April Explain volume formulas and use them to solve problems. 36. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.* [G-GMD3] I can use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. Chapter 12 - textbook Directed line segment, Partitions, Dilation, Scale factor, Density, Similarity, Constant of proportionality, Sector, Arc, Derive, Arc length, Radian measure, Area of sector, Central angle, Dissection arguments, Cavalieri's Principle, Cylinder, Pyramid, Cone, Ratio, Circumference, Parallelogram, Limits, Conjecture, Cross-section, Two-dimensional cross-sections, Two-dimensional objects, Threedimensional objects, Rotations, Conjecture, Cylinder, Pyramid, Cone, Sphere April Notes: May

27 May No New are introduced in May. Notes: that were not paced in a specific month. Explain volume formulas and use them to solve problems. 38. Identify the shapes of two-dimensional crosssections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. [G-GMD4] I can identify the shapes of two-dimensionals crosssections of three-dimensional objects, and identify threedimensional objects generated by rotations of twodimensional objects. ctivities/crosssectionflyer/ Transformation, reflections, translation, rotation, dilation, isometry, composite horizontal stretch, vertical stretch, clockwise, counter-clockwise, symmetry, preimage, image, symmetry, line of symmetry, line symmetry, rotational symmetry, center of symmetry, order of symmetry, mapping, line of reflection, translation vector, center of rotation, angle of rotation, solids of revolution, compositions of transformation, glide reflections, tessellations, regular and uniform tessellations May

28 Formative Assessment Schedule (List standards that will be tested each quarter. Note the dates of the assessments in the cell under the quarter.) 1 st Quarter 2 nd Quarter 3 rd Quarter 4 th Quarter Oct 17 Jan May

### Test #1: Chapters 1, 2, 3 Test #2: Chapters 4, 7, 9 Test #3: Chapters 5, 6, 8 Test #4: Chapters 10, 11, 12

Progress Assessments When the standards in each grouping are taught completely the students should take the assessment. Each assessment should be given within 3 days of completing the assigned chapters.

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