Geometry and spatial reasoning

Here is a list of all of the skills that cover geometry and spatial reasoning! These skills are organized by grade, and you can move your mouse over any skill name to preview the skill. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

Here is a list of all of the skills that cover geometry and spatial reasoning! To start practicing, just click on any link.

Third-grade skills

  1. U.16 Count shapes in a Venn diagram
  2. U.17 Sort shapes into a Venn diagram
  3. CC.1 Identify two-dimensional shapes
  4. CC.2 Count and compare sides and vertices
  5. CC.3 Open and closed shapes
  6. CC.4 Is it a polygon?
  7. CC.5 Lines, line segments, and rays
  8. CC.6 Angles greater than, less than, or equal to a right angle
  9. CC.7 Parallel, perpendicular, and intersecting lines
  10. CC.8 Reflection, rotation, and translation
  11. CC.9 Identify congruent shapes
  12. CC.10 Symmetry
  13. DD.1 Acute, obtuse, and right triangles
  14. DD.2 Scalene, isosceles, and equilateral triangles
  15. DD.3 Parallel sides in quadrilaterals
  16. DD.4 Identify parallelograms
  17. DD.5 Identify trapezoids
  18. DD.6 Identify rectangles
  19. DD.7 Identify rhombuses
  20. DD.8 Classify quadrilaterals
  21. EE.1 Identify three-dimensional shapes
  22. EE.2 Count vertices, edges, and faces
  23. EE.3 Identify faces of three-dimensional shapes
  24. EE.4 Shapes of everyday objects I
  25. EE.5 Shapes of everyday objects II
  26. FF.1 Perimeter of rectangles
  27. FF.2 Perimeter of rectilinear shapes
  28. FF.3 Perimeter of polygons
  29. FF.4 Perimeter: find the missing side length
  30. FF.5 Perimeter: word problems
  31. FF.6 Find the area of figures made of unit squares
  32. FF.7 Select figures with a given area
  33. FF.8 Select two figures with the same area
  34. FF.9 Create figures with a given area
  35. FF.10 Create rectangles with a given area
  36. FF.11 Find the area of rectangles and squares
  37. FF.12 Find the missing side length of a rectangle
  38. FF.13 Find the area of rectangles with missing unit squares
  39. FF.14 Find the area of rectangles: word problems
  40. FF.15 Find the area of complex figures
  41. FF.16 Find the area between two rectangles
  42. FF.17 Compare area and perimeter of two figures
  43. FF.18 Use area and perimeter to determine cost
  44. FF.19 Relationship between area and perimeter I
  45. FF.20 Relationship between area and perimeter II
  46. FF.21 Volume

Fourth-grade skills

  1. W.1 Open and closed shapes
  2. W.2 Is it a polygon?
  3. W.3 Number of sides in polygons
  4. W.4 Lines, line segments, and rays
  5. W.5 Parallel, perpendicular, and intersecting lines
  6. W.6 Identify congruent figures
  7. W.7 Parts of a circle
  8. X.1 Acute, obtuse, and right triangles
  9. X.2 Scalene, isosceles, and equilateral triangles
  10. X.3 Classify triangles
  11. X.4 Parallel sides in quadrilaterals
  12. X.5 Identify parallelograms
  13. X.6 Identify trapezoids
  14. X.7 Identify rectangles
  15. X.8 Identify rhombuses
  16. X.9 Classify quadrilaterals
  17. Y.1 Identify lines of symmetry
  18. Y.2 Draw lines of symmetry
  19. Y.3 Count lines of symmetry
  20. Y.4 Rotational symmetry
  21. Z.1 Acute, right, obtuse, and straight angles
  22. Z.2 Angles of 90, 180, 270, and 360 degrees
  23. Z.3 Measure angles on a circle
  24. Z.4 Measure angles with a protractor
  25. Z.5 Estimate angle measurements
  26. Z.6 Adjacent angles
  27. AA.1 Identify three-dimensional figures
  28. AA.2 Count vertices, edges, and faces
  29. AA.3 Identify faces of three-dimensional figures
  30. AA.4 Properties of three-dimensional figures
  31. AA.5 Nets of three-dimensional figures
  32. BB.1 Perimeter of rectangles
  33. BB.2 Perimeter of polygons
  34. BB.3 Perimeter: find the missing side length
  35. BB.4 Perimeter: word problems
  36. BB.5 Select figures with a given area
  37. BB.6 Select two figures with the same area
  38. BB.7 Create figures with a given area
  39. BB.8 Create rectangles with a given area
  40. BB.9 Find the area or missing side length of a rectangle
  41. BB.10 Area: word problems
  42. BB.11 Area of complex figures (with all right angles)
  43. BB.12 Area between two rectangles
  44. BB.13 Compare area and perimeter of two figures
  45. BB.14 Relationship between area and perimeter
  46. BB.15 Area and perimeter: word problems
  47. BB.16 Rectangles: relationship between perimeter and area word problems
  48. BB.17 Volume
  49. BB.18 Use area and perimeter to determine cost
  50. BB.19 Calculate radius, diameter, and circumference

Fifth-grade skills

  1. AA.1 Is it a polygon?
  2. AA.2 Number of sides in polygons
  3. AA.3 Regular and irregular polygons
  4. AA.4 Lines, line segments, and rays
  5. AA.5 Parallel, perpendicular, and intersecting lines
  6. AA.6 Types of angles
  7. AA.7 Angles of 90, 180, 270, and 360 degrees
  8. AA.8 Measure angles with a protractor
  9. AA.9 Find the unknown angle in triangles and quadrilaterals
  10. AA.10 Parts of a circle
  11. BB.1 Acute, obtuse, and right triangles
  12. BB.2 Scalene, isosceles, and equilateral triangles
  13. BB.3 Classify triangles
  14. BB.4 Find missing angles in triangles
  15. BB.5 Parallel sides in quadrilaterals
  16. BB.6 Identify parallelograms
  17. BB.7 Identify trapezoids
  18. BB.8 Identify rectangles
  19. BB.9 Identify rhombuses
  20. BB.10 Classify quadrilaterals
  21. CC.1 Line symmetry
  22. CC.2 Rotational symmetry
  23. CC.3 Rotational symmetry: amount of rotation
  24. CC.4 Reflection, rotation, and translation
  25. CC.5 Identify congruent and similar figures
  26. DD.1 Identify three-dimensional figures
  27. DD.2 Count vertices, edges, and faces
  28. DD.3 Nets of three-dimensional figures
  29. DD.4 Three-dimensional figures viewed from different perspectives
  30. EE.1 Perimeter with whole number side lengths
  31. EE.2 Perimeter with decimal side lengths
  32. EE.3 Perimeter with fractional side lengths
  33. EE.4 Perimeter of figures on grids
  34. EE.5 Area of squares and rectangles
  35. EE.6 Area of squares and rectangles with fractions
  36. EE.7 Area of triangles
  37. EE.8 Area of parallelograms and trapezoids
  38. EE.9 Area of compound figures
  39. EE.10 Area between two rectangles
  40. EE.11 Area of figures on grids
  41. EE.12 Area and perimeter: word problems
  42. EE.13 Volume of rectangular prisms made of unit cubes
  43. EE.14 Volume of irregular figures made of unit cubes
  44. EE.15 Volume of cubes and rectangular prisms
  45. EE.16 Volume of cubes and rectangular prisms: word problems
  46. EE.17 Volume of cubes and rectangular prisms with decimal side lengths
  47. EE.18 Surface area
  48. EE.19 Radius, diameter, circumference, and area of a circle

Sixth-grade skills

  1. X.5 Distance between two points
  2. CC.1 Identify and classify polygons
  3. CC.2 Measure and classify angles
  4. CC.3 Estimate angle measurements
  5. CC.4 Classify triangles
  6. CC.5 Triangle inequality
  7. CC.6 Identify trapezoids
  8. CC.7 Classify quadrilaterals
  9. CC.8 Graph triangles and quadrilaterals
  10. CC.9 Find missing angles in triangles
  11. CC.10 Find missing angles in special triangles
  12. CC.11 Find missing angles in quadrilaterals
  13. CC.12 Sums of angles in polygons
  14. CC.13 Lines, line segments, and rays
  15. CC.14 Name angles
  16. CC.15 Complementary and supplementary angles
  17. CC.16 Identify complementary, supplementary, vertical, adjacent, and congruent angles
  18. CC.17 Find measures of complementary, supplementary, vertical, and adjacent angles
  19. CC.18 Find lengths and measures of bisected line segments and angles
  20. CC.19 Parts of a circle
  21. CC.20 Central angles of circles
  22. DD.1 Line symmetry
  23. DD.2 Rotational symmetry
  24. DD.3 Rotational symmetry: amount of rotation
  25. DD.4 Reflection, rotation, and translation
  26. DD.5 Combinations of reflections, rotations, and translations
  27. DD.6 Identifying a specific reflection, rotation, or translation
  28. DD.7 Translations: graph the image
  29. DD.8 Reflections: graph the image
  30. DD.9 Rotations: graph the image
  31. DD.10 Similar and congruent figures
  32. DD.11 Find side lengths of similar figures
  33. EE.1 Identify polyhedra
  34. EE.2 Which figure is being described?
  35. EE.3 Nets of three-dimensional figures
  36. EE.4 Front, side, and top view
  37. FF.1 Perimeter
  38. FF.2 Area of rectangles and squares
  39. FF.3 Area of triangles
  40. FF.4 Area of parallelograms and trapezoids
  41. FF.5 Area of quadrilaterals
  42. FF.6 Area of compound figures
  43. FF.7 Area between two rectangles
  44. FF.8 Area between two triangles
  45. FF.9 Rectangles: relationship between perimeter and area
  46. FF.10 Compare area and perimeter of two figures
  47. FF.11 Circles: calculate area, circumference, radius, and diameter
  48. FF.12 Circles: word problems
  49. FF.13 Area between two circles
  50. FF.14 Volume of cubes and rectangular prisms
  51. FF.15 Volume of cubes and rectangular prisms: word problems
  52. FF.16 Surface area of cubes and rectangular prisms
  53. FF.17 Volume of triangular prisms
  54. FF.18 Surface area of triangular prisms
  55. FF.19 Surface area of pyramids
  56. FF.20 Volume and surface area of cylinders
  57. FF.21 Relate volume and surface area
  58. FF.22 Semicircles: calculate area, perimeter, radius, and diameter
  59. FF.23 Quarter circles: calculate area, perimeter, and radius
  60. FF.24 Area of compound figures with triangles

Seventh-grade skills

  1. P.4 Distance between two points
  2. W.1 Identify and classify polygons
  3. W.2 Name, measure, and classify angles
  4. W.3 Classify triangles
  5. W.4 Triangle inequality
  6. W.5 Identify trapezoids
  7. W.6 Classify quadrilaterals I
  8. W.7 Classify quadrilaterals II
  9. W.8 Graph triangles and quadrilaterals
  10. W.9 Find missing angles in triangles
  11. W.10 Find missing angles in triangles using ratios
  12. W.11 Find missing angles in quadrilaterals I
  13. W.12 Find missing angles in quadrilaterals II
  14. W.13 Interior angles of polygons
  15. W.14 Lines, line segments, and rays
  16. W.15 Parallel, perpendicular, and intersecting lines
  17. W.16 Identify complementary, supplementary, vertical, adjacent, and congruent angles
  18. W.17 Find measures of complementary, supplementary, vertical, and adjacent angles
  19. W.18 Identify alternate interior and alternate exterior angles
  20. W.19 Transversals of parallel lines: name angle pairs
  21. W.20 Transversals of parallel lines: find angle measures
  22. W.21 Find lengths and measures of bisected line segments and angles
  23. W.22 Parts of a circle
  24. X.1 Line symmetry
  25. X.2 Rotational symmetry
  26. X.3 Rotational symmetry: amount of rotation
  27. X.4 Identify reflections, rotations, and translations
  28. X.5 Combinations of reflections, rotations, and translations
  29. X.6 Translations: graph the image
  30. X.7 Translations: find the coordinates
  31. X.8 Reflections over the x- and y-axes: graph the image
  32. X.9 Reflections over the x- and y-axes: find the coordinates
  33. X.10 Reflections: graph the image
  34. X.11 Reflections: find the coordinates
  35. X.12 Rotations: graph the image
  36. X.13 Rotations: find the coordinates
  37. X.14 Similar and congruent figures
  38. X.15 Congruence statements and corresponding parts
  39. X.16 Side lengths and angle measures of congruent figures
  40. X.17 Side lengths and angle measures of similar figures
  41. X.18 Similar figures and indirect measurement
  42. Y.1 Pythagorean theorem: find the length of the hypotenuse
  43. Y.2 Pythagorean theorem: find the missing leg length
  44. Y.3 Pythagorean theorem: word problems
  45. Y.4 Converse of the Pythagorean theorem: is it a right triangle?
  46. Z.1 Bases of three-dimensional figures
  47. Z.2 Nets of three-dimensional figures
  48. Z.3 Front, side, and top view
  49. Z.4 Cross-sections of three-dimensional figures
  50. AA.1 Perimeter
  51. AA.2 Area of rectangles and parallelograms
  52. AA.3 Area of triangles and trapezoids
  53. AA.4 Area and perimeter: word problems
  54. AA.5 Circles: calculate area, circumference, radius, and diameter
  55. AA.6 Circles: word problems
  56. AA.7 Volume of cubes and prisms
  57. AA.8 Volume of cubes and rectangular prisms: word problems
  58. AA.9 Volume of pyramids
  59. AA.10 Volume of cylinders
  60. AA.11 Surface area of cubes and prisms
  61. AA.12 Surface area of pyramids
  62. AA.13 Surface area of cylinders
  63. AA.14 Perimeter and area: changes in scale
  64. AA.15 Semicircles: calculate area, perimeter, radius, and diameter
  65. AA.16 Quarter circles: calculate area, perimeter, and radius
  66. AA.17 Area of compound figures with triangles
  67. AA.18 Area of compound figures with triangles, semicircles, and quarter circles
  68. AA.19 Area between two shapes

Eighth-grade skills

  1. N.4 Find the distance between two points
  2. O.1 Identify and classify polygons
  3. O.2 Classify triangles
  4. O.3 Identify trapezoids
  5. O.4 Classify quadrilaterals I
  6. O.5 Classify quadrilaterals II
  7. O.6 Graph triangles and quadrilaterals
  8. O.7 Find missing angles in triangles
  9. O.8 Find missing angles in triangles using ratios
  10. O.9 Find missing angles in quadrilaterals I
  11. O.10 Find missing angles in quadrilaterals II
  12. O.11 Exterior Angle Theorem
  13. O.12 Interior angles of polygons
  14. O.13 Identify complementary, supplementary, vertical, adjacent, and congruent angles
  15. O.14 Find measures of complementary, supplementary, vertical, and adjacent angles
  16. O.15 Identify alternate interior and alternate exterior angles
  17. O.16 Transversals of parallel lines: name angle pairs
  18. O.17 Transversals of parallel lines: find angle measures
  19. O.18 Find lengths and measures of bisected line segments and angles
  20. O.19 Parts of a circle
  21. P.1 Line symmetry
  22. P.2 Rotational symmetry
  23. P.3 Rotational symmetry: amount of rotation
  24. P.4 Identify reflections, rotations, and translations
  25. P.5 Describe a sequence of transformations
  26. P.6 Translations: graph the image
  27. P.7 Translations: find the coordinates
  28. P.8 Reflections over the x- and y-axes: graph the image
  29. P.9 Reflections over the x- and y-axes: find the coordinates
  30. P.10 Reflections: graph the image
  31. P.11 Reflections: find the coordinates
  32. P.12 Rotations: graph the image
  33. P.13 Rotations: find the coordinates
  34. P.14 Congruence statements and corresponding parts
  35. P.15 Side lengths and angle measures of congruent figures
  36. P.16 Congruent triangles: SSS, SAS, and ASA
  37. Q.1 Similar and congruent figures
  38. Q.2 Dilations: graph the image
  39. Q.3 Dilations: find the coordinates
  40. Q.4 Dilations: scale factor and classification
  41. Q.5 Side lengths and angle measures of similar figures
  42. R.1 Pythagorean theorem: find the length of the hypotenuse
  43. R.2 Pythagorean theorem: find the missing leg length
  44. R.3 Pythagorean theorem: find the perimeter
  45. R.4 Pythagorean theorem: word problems
  46. R.5 Converse of the Pythagorean theorem: is it a right triangle?
  47. S.1 Parts of three-dimensional figures
  48. S.2 Nets of three-dimensional figures
  49. S.3 Front, side, and top view
  50. S.4 Base plans
  51. S.5 Similar solids
  52. T.1 Perimeter
  53. T.2 Area
  54. T.3 Area and perimeter: word problems
  55. T.4 Area between two shapes
  56. T.5 Area and circumference of circles
  57. T.6 Circles: word problems
  58. T.7 Area and perimeter of semicircles and quarter circles
  59. T.8 Volume of cubes, prisms, and pyramids
  60. T.9 Surface area of cubes, prisms, and pyramids
  61. T.10 Volume of cylinders
  62. T.11 Volume of cones
  63. T.12 Surface area of cylinders
  64. T.13 Surface area of cones
  65. T.14 Volume of spheres
  66. T.15 Surface area of spheres
  67. T.16 Volume and surface area of similar solids
  68. T.17 Perimeter and area: changes in scale
  69. BB.5 Add polynomials to find perimeter
  70. BB.13 Multiply polynomials to find area

Geometry skills

  1. B.1 Lines, line segments, and rays
  2. B.2 Lengths of segments on number lines
  3. B.3 Additive property of length
  4. B.4 Midpoints
  5. B.5 Congruent line segments
  6. B.6 Perpendicular Bisector Theorem
  7. B.7 Midpoint formula: find the midpoint
  8. B.8 Midpoint formula: find the endpoint
  9. B.9 Distance formula
  10. B.10 Construct the midpoint or perpendicular bisector of a segment
  11. C.1 Angle vocabulary
  12. C.2 Angle measures
  13. C.3 Identify complementary, supplementary, vertical, adjacent, and congruent angles
  14. C.4 Find measures of complementary, supplementary, vertical, and adjacent angles
  15. C.5 Angle bisectors
  16. C.6 Construct an angle bisector
  17. C.7 Construct a congruent angle
  18. C.8 Proofs involving angles
  19. D.1 Identify parallel, perpendicular, and skew lines and planes
  20. D.2 Construct a perpendicular line
  21. D.3 Transversals: name angle pairs
  22. D.4 Transversals of parallel lines: find angle measures
  23. D.5 Construct parallel lines
  24. D.6 Proofs involving parallel lines I
  25. D.7 Proofs involving parallel lines II
  26. E.7 Find the distance between a point and a line
  27. E.8 Find the distance between two parallel lines
  28. F.1 Classify triangles
  29. F.2 Triangle Angle-Sum Theorem
  30. F.3 Exterior Angle Theorem
  31. F.4 Exterior Angle Inequality
  32. G.1 Polygon vocabulary
  33. G.2 Interior angles of polygons
  34. G.3 Exterior angles of polygons
  35. G.4 Review: interior and exterior angles of polygons
  36. G.5 Construct an equilateral triangle or regular hexagon
  37. G.6 Construct a square
  38. H.1 Parts of three-dimensional figures
  39. H.2 Three-dimensional figure vocabulary
  40. H.3 Nets and drawings of three-dimensional figures
  41. H.4 Cross-sections of three-dimensional figures
  42. H.5 Solids of revolution
  43. J.1 Congruence statements and corresponding parts
  44. J.2 Solve problems involving corresponding parts
  45. J.3 Identify congruent figures
  46. K.1 SSS and SAS Theorems
  47. K.2 Proving triangles congruent by SSS and SAS
  48. K.3 ASA and AAS Theorems
  49. K.4 Proving triangles congruent by ASA and AAS
  50. K.5 SSS, SAS, ASA, and AAS Theorems
  51. K.6 SSS Theorem in the coordinate plane
  52. K.7 Proving triangles congruent by SSS, SAS, ASA, and AAS
  53. K.8 Proofs involving corresponding parts of congruent triangles
  54. K.9 Congruency in isosceles and equilateral triangles
  55. K.10 Proofs involving isosceles triangles
  56. K.11 Hypotenuse-Leg Theorem
  57. L.1 Classify congruence transformations
  58. L.2 Translations: graph the image
  59. L.3 Translations: find the coordinates
  60. L.4 Translations: write the rule
  61. L.5 Reflections: graph the image
  62. L.6 Reflections: find the coordinates
  63. L.7 Rotate polygons about a point
  64. L.8 Rotations: graph the image
  65. L.9 Rotations: find the coordinates
  66. L.10 Compositions of congruence transformations: graph the image
  67. L.11 Transformations that carry a polygon onto itself
  68. L.12 Congruence transformations: mixed review
  69. L.13 Dilations: graph the image
  70. L.14 Dilations: find the coordinates
  71. L.15 Dilations: scale factor and classification
  72. L.16 Dilations and parallel lines
  73. M.1 Midsegments of triangles
  74. M.2 Triangles and bisectors
  75. M.3 Identify medians, altitudes, angle bisectors, and perpendicular bisectors
  76. M.4 Angle-side relationships in triangles
  77. M.5 Triangle Inequality Theorem
  78. M.6 Construct the circumcenter or incenter of a triangle
  79. M.7 Construct the centroid or orthocenter of a triangle
  80. M.8 Proofs involving triangles I
  81. M.9 Proofs involving triangles II
  82. N.1 Identify trapezoids
  83. N.2 Classify quadrilaterals I
  84. N.3 Classify quadrilaterals II
  85. N.4 Find missing angles in quadrilaterals
  86. N.5 Graph quadrilaterals
  87. N.6 Properties of parallelograms
  88. N.7 Proving a quadrilateral is a parallelogram
  89. N.8 Properties of rhombuses
  90. N.9 Properties of squares and rectangles
  91. N.10 Properties of trapezoids
  92. N.11 Properties of kites
  93. N.12 Review: properties of quadrilaterals
  94. N.13 Proofs involving quadrilaterals I
  95. N.14 Proofs involving quadrilaterals II
  96. O.1 Line symmetry
  97. O.2 Rotational symmetry
  98. O.3 Draw lines of symmetry
  99. O.4 Count lines of symmetry
  100. P.1 Similarity ratios
  101. P.2 Similarity statements
  102. P.3 Identify similar figures
  103. P.4 Side lengths and angle measures in similar figures
  104. P.5 Similar triangles and indirect measurement
  105. P.6 Perimeters of similar figures
  106. P.7 Similarity rules for triangles
  107. P.8 Similar triangles and similarity transformations
  108. P.9 Similarity of circles
  109. P.10 Triangle Proportionality Theorem
  110. P.11 Areas of similar figures
  111. P.12 Prove similarity statements
  112. P.13 Prove proportions or angle congruences using similarity
  113. P.14 Proofs involving similarity in right triangles
  114. P.15 Prove the Pythagorean theorem
  115. Q.1 Pythagorean Theorem
  116. Q.2 Converse of the Pythagorean theorem
  117. Q.3 Pythagorean Inequality Theorems
  118. Q.4 Special right triangles
  119. R.1 Trigonometric ratios: sin, cos, and tan
  120. R.2 Trigonometric ratios: csc, sec, and cot
  121. R.3 Trigonometric ratios in similar right triangles
  122. R.4 Trigonometric functions of complementary angles
  123. R.5 Find trigonometric functions of special angles
  124. R.6 Find trigonometric functions using a calculator
  125. R.7 Inverses of trigonometric functions
  126. R.8 Trigonometric ratios: find a side length
  127. R.9 Trigonometric ratios: find an angle measure
  128. R.10 Solve a right triangle
  129. R.11 Law of Sines
  130. R.12 Law of Cosines
  131. R.13 Solve a triangle
  132. S.1 Perimeter
  133. S.2 Area of rectangles and squares
  134. S.3 Area of parallelograms and triangles
  135. S.4 Area of trapezoids
  136. S.5 Area and perimeter in the coordinate plane I
  137. S.6 Area and perimeter in the coordinate plane II
  138. S.7 Area and circumference of circles
  139. S.8 Area of compound figures
  140. S.9 Area between two shapes
  141. S.10 Area and perimeter of similar figures
  142. S.11 Perimeter and area: changes in scale
  143. S.12 Heron's formula
  144. S.13 Area and perimeter mixed review
  145. T.1 Introduction to surface area and volume
  146. T.2 Surface area of prisms and cylinders
  147. T.3 Surface area of pyramids and cones
  148. T.4 Surface area of spheres
  149. T.5 Volume of prisms and cylinders
  150. T.6 Volume of pyramids and cones
  151. T.7 Volume of spheres
  152. T.8 Introduction to similar solids
  153. T.9 Surface area and volume of similar solids
  154. T.10 Surface area and volume: changes in scale
  155. T.11 Perimeter, area, and volume: changes in scale
  156. T.12 Surface area and volume review
  157. U.1 Parts of a circle
  158. U.2 Central angles and arc measures
  159. U.3 Arc length
  160. U.4 Area of sectors
  161. U.5 Circle measurements: mixed review
  162. U.6 Arcs and chords
  163. U.7 Tangent lines
  164. U.8 Perimeter of polygons with an inscribed circle
  165. U.9 Inscribed angles
  166. U.10 Angles in inscribed right triangles
  167. U.11 Angles in inscribed quadrilaterals I
  168. U.12 Angles in inscribed quadrilaterals II
  169. U.13 Construct a tangent line to a circle
  170. U.14 Construct an equilateral triangle inscribed in a circle
  171. U.15 Construct a square inscribed in a circle
  172. U.16 Construct a regular hexagon inscribed in a circle
  173. U.17 Construct the inscribed or circumscribed circle of a triangle
  174. V.1 Find the center of a circle
  175. V.2 Find the radius or diameter of a circle
  176. V.3 Write equations of circles in standard form from graphs
  177. V.4 Write equations of circles in standard form using properties
  178. V.5 Convert equations of circles from general to standard form
  179. V.6 Find properties of circles from equations in general form
  180. V.7 Graph circles from equations in standard form
  181. V.8 Graph circles from equations in general form
  182. W.6 Minimum and maximum area and volume
  183. W.8 Percent error: area and volume
  184. X.13 Geometric probability
  185. Y.1 Compass directions and vectors
  186. Y.2 Find the magnitude of a vector
  187. Y.3 Find the component form of a vector
  188. Y.4 Find the component form of a vector given its magnitude and direction angle
  189. Y.5 Graph a resultant vector using the triangle method
  190. Y.6 Graph a resultant vector using the parallelogram method
  191. Y.7 Add vectors
  192. Y.8 Subtract vectors

Algebra 2 skills

  1. T.1 Identify the direction a parabola opens
  2. T.2 Find the vertex of a parabola
  3. T.3 Find the focus or directrix of a parabola
  4. T.4 Find the axis of symmetry of a parabola
  5. T.5 Write equations of parabolas in vertex form from graphs
  6. T.6 Write equations of parabolas in vertex form using properties
  7. T.7 Convert equations of parabolas from general to vertex form
  8. T.8 Find properties of a parabola from equations in general form
  9. T.9 Graph parabolas
  10. U.1 Find the center of a circle
  11. U.2 Find the radius or diameter of a circle
  12. U.3 Write equations of circles in standard form from graphs
  13. U.4 Write equations of circles in standard form using properties
  14. U.5 Convert equations of circles from general to standard form
  15. U.6 Find properties of circles from equations in general form
  16. U.7 Graph circles
  17. V.1 Find the center, vertices, or co-vertices of an ellipse
  18. V.2 Find the length of the major or minor axes of an ellipse
  19. V.3 Find the foci of an ellipse
  20. V.4 Write equations of ellipses in standard form from graphs
  21. V.5 Write equations of ellipses in standard form using properties
  22. V.6 Convert equations of ellipses from general to standard form
  23. V.7 Find properties of ellipses from equations in general form
  24. W.1 Find the center of a hyperbola
  25. W.2 Find the vertices of a hyperbola
  26. W.3 Find the length of the transverse or conjugate axes of a hyperbola
  27. W.4 Find the equations for the asymptotes of a hyperbola
  28. W.5 Find the foci of a hyperbola
  29. W.6 Write equations of hyperbolas in standard form from graphs
  30. W.7 Write equations of hyperbolas in standard form using properties
  31. W.8 Convert equations of hyperbolas from general to standard form
  32. W.9 Find properties of hyperbolas from equations in general form
  33. X.1 Convert between radians and degrees
  34. X.2 Radians and arc length
  35. X.5 Coterminal angles
  36. X.6 Reference angles
  37. Y.1 Pythagorean Theorem and its converse
  38. Y.2 Special right triangles
  39. Y.3 Trigonometric ratios: sin, cos, and tan
  40. Y.4 Trigonometric ratios: csc, sec, and cot
  41. Y.5 Trigonometric ratios in similar right triangles
  42. Y.6 Find trigonometric ratios using the unit circle
  43. Y.7 Sin, cos, and tan of special angles
  44. Y.9 Find trigonometric functions using a calculator
  45. Y.10 Inverses of sin, cos, and tan
  46. Y.12 Solve trigonometric equations I
  47. Y.13 Solve trigonometric equations II
  48. Y.14 Trigonometric ratios: find a side length
  49. Y.15 Trigonometric ratios: find an angle measure
  50. Y.16 Solve a right triangle
  51. Y.17 Law of Sines
  52. Y.18 Law of Cosines
  53. Y.19 Solve a triangle
  54. Y.20 Area of a triangle: sine formula
  55. Y.21 Area of a triangle: Law of Sines
  56. AA.1 Complementary angle identities
  57. AA.2 Symmetry and periodicity of trigonometric functions

Precalculus skills

  1. M.1 Convert between radians and degrees
  2. M.2 Radians and arc length
  3. M.4 Coterminal and reference angles
  4. M.5 Find trigonometric ratios using right triangles
  5. M.6 Find trigonometric ratios using the unit circle
  6. M.8 Inverses of trigonometric functions
  7. M.9 Solve trigonometric equations
  8. M.10 Trigonometric ratios: find a side length
  9. M.11 Trigonometric ratios: find an angle measure
  10. M.12 Solve a right triangle
  11. M.13 Law of Sines
  12. M.14 Law of Cosines
  13. M.15 Solve a triangle
  14. M.16 Area of a triangle: sine formula
  15. M.17 Area of a triangle: Heron's formula
  16. O.1 Complementary angle identities
  17. O.2 Symmetry and periodicity of trigonometric functions
  18. P.1 Find properties of parabolas
  19. P.2 Write equations of parabolas in vertex form
  20. P.3 Graph parabolas
  21. P.4 Find properties of circles
  22. P.5 Write equations of circles in standard form
  23. P.6 Graph circles
  24. P.7 Find properties of ellipses
  25. P.8 Find the eccentricity of an ellipse
  26. P.9 Write equations of ellipses in standard form
  27. P.10 Find properties of hyperbolas
  28. P.11 Find the eccentricity of a hyperbola
  29. P.12 Write equations of hyperbolas in standard form
  30. P.13 Convert equations of conic sections from general to standard form
  31. S.8 Distance in the complex plane
  32. U.1 Find the magnitude of a vector
  33. U.2 Find the component form of a vector
  34. U.3 Find the direction angle of a vector
  35. U.4 Find the component form of a vector from its magnitude and direction angle
  36. U.5 Graph a resultant vector using the triangle method
  37. U.6 Graph a resultant vector using the parallelogram method
  38. U.7 Add vectors
  39. U.8 Subtract vectors
  40. U.9 Find the magnitude and direction of a vector sum
  41. U.10 Multiply a vector by a scalar
  42. U.11 Find the magnitude of a vector scalar multiple
  43. U.12 Determine the direction of a vector scalar multiple
  44. U.13 Find a unit vector
  45. U.14 Linear combinations of vectors
  46. V.1 Find the magnitude of a three-dimensional vector
  47. V.2 Find the component form of a three-dimensional vector
  48. V.3 Add and subtract three-dimensional vectors
  49. V.4 Scalar multiples of three-dimensional vectors
  50. V.5 Find a three-dimensional unit vector
  51. V.6 Linear combinations of three-dimensional vectors