Las Vegas Math Tutor
Las Vegas Math Tutor

GEOMETRY

GEOMETRY

Algebra review

  1. A.1Ratios and proportions
  2. A.2Scale drawings: word problems
  3. A.3Properties of exponents
  4. A.4Simplify radical expressions
  5. A.5Write variable expressions
  6. A.6Solve linear equations
  7. A.7Solve linear inequalities
  8. A.8Solve systems of linear equations
  9. A.9Solve a quadratic equation by factoring
  10. A.10Solve a quadratic equation using the quadratic formula

Points, lines, and segments

  1. B.1Lines, line segments, and rays
  2. B.2Lengths of segments on number lines
  3. B.3Additive property of length
  4. B.4Midpoints
  5. B.5Congruent line segments
  6. B.6Perpendicular Bisector Theorem
  7. B.7Midpoint formula
  8. B.8Distance formula
  9. B.9Construct the midpoint or perpendicular bisector of a segment

Angles

  1. C.1Angle vocabulary
  2. C.2Angle measures
  3. C.3Identify complementary, supplementary, vertical, adjacent, and congruent angles
  4. C.4Find measures of complementary, supplementary, vertical, and adjacent angles
  5. C.5Angle bisectors
  6. C.6Construct an angle bisector
  7. C.7Construct a congruent angle
  8. C.8Proofs involving angles

Parallel and perpendicular lines

  1. D.1Identify parallel, perpendicular, and skew lines and planes
  2. D.2Construct a perpendicular line
  3. D.3Transversals: name angle pairs
  4. D.4Transversals of parallel lines: find angle measures
  5. D.5Construct parallel lines
  6. D.6Proofs involving parallel lines I
  7. D.7Proofs involving parallel lines II

Lines in the coordinate plane

  1. E.1Coordinate plane review
  2. E.2Slopes of lines
  3. E.3Graph a linear equation
  4. E.4Equations of lines
  5. E.5Slopes of parallel and perpendicular lines
  6. E.6Equations of parallel and perpendicular lines
  7. E.7Find the distance between a point and a line
  8. E.8Find the distance between two parallel lines

Introduction to triangles

  1. F.1Classify triangles
  2. F.2Triangle Angle-Sum Theorem
  3. F.3Exterior Angle Theorem
  4. F.4Exterior Angle Inequality

Two-dimensional figures

  1. G.1Polygon vocabulary
  2. G.2Interior angles of polygons
  3. G.3Exterior angles of polygons
  4. G.4Review: interior and exterior angles of polygons
  5. G.5Construct an equilateral triangle or regular hexagon
  6. G.6Construct a square

Three-dimensional figures

  1. H.1Parts of three-dimensional figures
  2. H.2Three-dimensional figure vocabulary
  3. H.3Nets and drawings of three-dimensional figures
  4. H.4Cross-sections of three-dimensional figures
  5. H.5Solids of revolution

Logic

  1. I.1Identify hypotheses and conclusions
  2. I.2Counterexamples
  3. I.3Conditionals
  4. I.4Negations
  5. I.5Converses, inverses, and contrapositives
  6. I.6Biconditionals
  7. I.7Truth tables
  8. I.8Truth values

Introduction to congruent figures

  1. J.1Congruence statements and corresponding parts
  2. J.2Solve problems involving corresponding parts
  3. J.3Identify congruent figures

Congruent triangles

  1. K.1SSS and SAS Theorems
  2. K.2Proving triangles congruent by SSS and SAS
  3. K.3ASA and AAS Theorems
  4. K.4Proving triangles congruent by ASA and AAS
  5. K.5SSS, SAS, ASA, and AAS Theorems
  6. K.6SSS Theorem in the coordinate plane
  7. K.7Proving triangles congruent by SSS, SAS, ASA, and AAS
  8. K.8Proofs involving corresponding parts of congruent triangles
  9. K.9Congruency in isosceles and equilateral triangles
  10. K.10Proofs involving isosceles triangles
  11. K.11Hypotenuse-Leg Theorem

Transformations

  1. L.1Classify congruence transformations
  2. L.2Translations: graph the image
  3. L.3Translations: find the coordinates
  4. L.4Translations: write the rule
  5. L.5Reflections: graph the image
  6. L.6Reflections: find the coordinates
  7. L.7Rotate polygons about a point
  8. L.8Rotations: graph the image
  9. L.9Rotations: find the coordinates
  10. L.10Compositions of congruence transformations: graph the image
  11. L.11Transformations that carry a polygon onto itself
  12. L.12Congruence transformations: mixed review
  13. L.13Dilations: graph the image
  14. L.14Dilations: find the coordinates
  15. L.15Dilations: scale factor and classification
  16. L.16Dilations and parallel lines

Triangles

  1. M.1Midsegments of triangles
  2. M.2Triangles and bisectors
  3. M.3Identify medians, altitudes, angle bisectors, and perpendicular bisectors
  4. M.4Angle-side relationships in triangles
  5. M.5Triangle Inequality Theorem
  6. M.6Construct the circumcenter or incenter of a triangle
  7. M.7Construct the centroid or orthocenter of a triangle
  8. M.8Proofs involving triangles I
  9. M.9Proofs involving triangles II

Quadrilaterals

  1. N.1Identify trapezoids
  2. N.2Classify quadrilaterals
  3. N.3Graph quadrilaterals
  4. N.4Properties of parallelograms
  5. N.5Proving a quadrilateral is a parallelogram
  6. N.6Properties of rhombuses
  7. N.7Properties of squares and rectangles
  8. N.8Properties of trapezoids
  9. N.9Properties of kites
  10. N.10Review: properties of quadrilaterals
  11. N.11Proofs involving quadrilaterals I
  12. N.12Proofs involving quadrilaterals II

Symmetry

  1. O.1Line symmetry
  2. O.2Rotational symmetry
  3. O.3Draw lines of symmetry
  4. O.4Count lines of symmetry

Similarity

  1. P.1Similarity ratios
  2. P.2Similarity statements
  3. P.3Identify similar figures
  4. P.4Side lengths and angle measures in similar figures
  5. P.5Similar triangles and indirect measurement
  6. P.6Perimeters of similar figures
  7. P.7Similarity rules for triangles
  8. P.8Similar triangles and similarity transformations
  9. P.9Similarity of circles
  10. P.10Triangle Proportionality Theorem
  11. P.11Areas of similar figures
  12. P.12Prove similarity statements
  13. P.13Prove proportions or angle congruences using similarity
  14. P.14Proofs involving similarity in right triangles
  15. P.15Prove the Pythagorean theorem

Right triangles

  1. Q.1Pythagorean Theorem
  2. Q.2Converse of the Pythagorean theorem
  3. Q.3Pythagorean Inequality Theorems
  4. Q.4Special right triangles

Trigonometry

  1. R.1Trigonometric ratios: sin, cos, and tan
  2. R.2Trigonometric ratios: csc, sec, and cot
  3. R.3Trigonometric ratios in similar right triangles
  4. R.4Trigonometric functions of complementary angles
  5. R.5Find trigonometric functions of special angles
  6. R.6Find trigonometric functions using a calculator
  7. R.7Inverses of trigonometric functions
  8. R.8Trigonometric ratios: find a side length
  9. R.9Trigonometric ratios: find an angle measure
  10. R.10Solve a right triangle
  11. R.11Law of Sines
  12. R.12Law of Cosines
  13. R.13Solve a triangle

Area and perimeter

  1. S.1Perimeter
  2. S.2Area of rectangles and squares
  3. S.3Area of parallelograms and triangles
  4. S.4Area of trapezoids
  5. S.5Area and perimeter in the coordinate plane I
  6. S.6Area and perimeter in the coordinate plane II
  7. S.7Area and circumference of circles
  8. S.8Area of compound figures
  9. S.9Area between two shapes
  10. S.10Area and perimeter of similar figures
  11. S.11Heron's formula
  12. S.12Area and perimeter mixed review

Surface area and volume

  1. T.1Introduction to surface area and volume
  2. T.2Surface area of prisms and cylinders
  3. T.3Surface area of pyramids and cones
  4. T.4Volume of prisms and cylinders
  5. T.5Volume of pyramids and cones
  6. T.6Surface area and volume of spheres
  7. T.7Introduction to similar solids
  8. T.8Surface area and volume of similar solids
  9. T.9Surface area and volume review

Circles

  1. U.1Parts of a circle
  2. U.2Central angles
  3. U.3Arc measure and arc length
  4. U.4Area of sectors
  5. U.5Circle measurements: mixed review
  6. U.6Arcs and chords
  7. U.7Tangent lines
  8. U.8Perimeter of polygons with an inscribed circle
  9. U.9Inscribed angles
  10. U.10Angles in inscribed right triangles
  11. U.11Angles in inscribed quadrilaterals I
  12. U.12Angles in inscribed quadrilaterals II
  13. U.13Construct a tangent line to a circle
  14. U.14Construct an equilateral triangle inscribed in a circle
  15. U.15Construct a square inscribed in a circle
  16. U.16Construct a regular hexagon inscribed in a circle
  17. U.17Construct the inscribed or circumscribed circle of a triangle

Circles in the coordinate plane

  1. V.1Find the center of a circle
  2. V.2Find the radius or diameter of a circle
  3. V.3Write equations of circles in standard form from graphs
  4. V.4Write equations of circles in standard form using properties
  5. V.5Graph circles

Measurement

  1. W.1Convert rates and measurements: customary units
  2. W.2Convert rates and measurements: metric units
  3. W.3Convert square and cubic units of length
  4. W.4Precision
  5. W.5Greatest possible error
  6. W.6Minimum and maximum area and volume
  7. W.7Percent error
  8. W.8Percent error: area and volume

Probability

  1. X.1Theoretical and experimental probability
  2. X.2Compound events: find the number of outcomes
  3. X.3Independent and dependent events
  4. X.4Counting principle
  5. X.5Permutations
  6. X.6Permutation and combination notation
  7. X.7Geometric probability

Vectors

  1. Y.1Compass directions and vectors
  2. Y.2Find the magnitude of a vector
  3. Y.3Find the component form of a vector
  4. Y.4Find the component form of a vector given its magnitude and direction angle
  5. Y.5Graph a resultant vector using the triangle method
  6. Y.6Graph a resultant vector using the parallelogram method
  7. Y.7Add and subtract vectors