Geometry I will be adding a printable with this. For now enjoy these topics and sub topics for Geometry, which is suggested for 9th grade but you can switch it up. Algebra review Ratios and proportions Scale drawings: word problems Properties of exponents Simplify radical expressions Write variable expressions Solve linear equations Solve linear inequalities Solve systems of linear equations Solve a quadratic equation by factoring Solve a quadratic equation using the quadratic formula Points, lines, line segments, and planes Lines, line segments, and rays Properties of planes, lines, and points Describe intersections in a plane Lengths of segments on number lines Additive property of length Midpoints Congruent line segments Perpendicular Bisector Theorem Midpoint formula: find the midpoint Midpoint formula: find the endpoint Distance formula Distance to the origin in three dimensions Construct the midpoint or perpendicular bisector of a segment Angles Angle vocabulary Angle measures Identify complementary, supplementary, vertical, adjacent, and congruent angles Find measures of complementary, supplementary, vertical, and adjacent angles Angle bisectors Construct an angle bisector Construct a congruent angle Proofs involving angles Parallel and perpendicular lines Identify parallel, intersecting, and skew lines and planes Construct a perpendicular line Transversals: name angle pairs Transversals of parallel lines: find angle measures Construct parallel lines Proofs involving parallel lines Lines in the coordinate plane Coordinate plane review Slopes of lines Graph a linear equation Equations of lines Slopes of parallel and perpendicular lines Equations of parallel and perpendicular lines Find the distance between a point and a line Find the distance between two parallel lines Introduction to triangles Classify triangles Triangle Angle-Sum Theorem Exterior Angle Theorem Exterior Angle Inequality Two-dimensional figures Polygon vocabulary Interior angles of polygons Exterior angles of polygons Review: interior and exterior angles of polygons Construct an equilateral triangle or regular hexagon Construct a square Three-dimensional figures Parts of three-dimensional figures Three-dimensional figure vocabulary Nets and drawings of three-dimensional figures Cross-sections of three-dimensional figures Solids of revolution Logic Identify hypotheses and conclusions Counterexamples Conditionals Negations Converses, inverses, and contrapositives Biconditionals Truth tables Truth values Introduction to congruent figures Congruence statements and corresponding parts Solve problems involving corresponding parts Identify congruent figures Congruent triangles SSS and SAS Theorems Proving triangles congruent by SSS and SAS ASA and AAS Theorems Proving triangles congruent by ASA and AAS SSS, SAS, ASA, and AAS Theorems SSS Theorem in the coordinate plane Proving triangles congruent by SSS, SAS, ASA, and AAS Proofs involving corresponding parts of congruent triangles Congruency in isosceles and equilateral triangles Proofs involving isosceles triangles Hypotenuse-Leg Theorem Transformations Classify congruence transformations Translations: graph the image Translations: find the coordinates Translations: write the rule Reflections: graph the image Reflections: find the coordinates Rotate polygons about a point Rotations: graph the image Rotations: find the coordinates Compositions of congruence transformations: graph the image Transformations that carry a polygon onto itself Congruence transformations: mixed review Dilations: graph the image Dilations: find the coordinates Dilations: scale factor and classification Dilations and parallel lines Triangles Midsegments of triangles Triangles and bisectors Identify medians, altitudes, angle bisectors, and perpendicular bisectors Angle-side relationships in triangles Triangle Inequality Theorem Construct the circumcenter or incenter of a triangle Construct the centroid or orthocenter of a triangle Proofs involving triangles Quadrilaterals Identify trapezoids Classify quadrilaterals Find missing angles in quadrilaterals Graph quadrilaterals Properties of parallelograms Proving a quadrilateral is a parallelogram Properties of rhombuses Properties of squares and rectangles Properties of trapezoids Properties of kites Review: properties of quadrilaterals Proofs involving quadrilaterals Symmetry Line symmetry Rotational symmetry Draw lines of symmetry Count lines of symmetry Similarity Similarity ratios Similarity statements Identify similar figures Side lengths and angle measures in similar figures Similar triangles and indirect measurement Perimeters of similar figures Similarity rules for triangles Similar triangles and similarity transformations Similarity of circles Triangle Proportionality Theorem Similarity and altitudes in right triangles Areas of similar figures Prove similarity statements Prove proportions or angle congruences using similarity Proofs involving similarity in right triangles Prove the Pythagorean theorem Right triangles Pythagorean theorem Converse of the Pythagorean theorem Pythagorean Inequality Theorems Special right triangles Trigonometry Trigonometric ratios: sin, cos, and tan Trigonometric ratios: csc, sec, and cot Trigonometric ratios in similar right triangles Trigonometric functions of complementary angles Find trigonometric functions of special angles Find trigonometric functions using a calculator Inverses of trigonometric functions Trigonometric ratios: find a side length Trigonometric ratios: find an angle measure Solve a right triangle Law of Sines Law of Cosines Solve a triangle Area of a triangle: sine formula Area of a triangle: Law of Sines Area and perimeter Perimeter Area of rectangles and squares Area of parallelograms and triangles Area of trapezoids Area and perimeter in the coordinate plane Area and circumference of circles Area of compound figures Area between two shapes Area and perimeter of similar figures Perimeter and area: changes in scale Heron’s formula Area and perimeter mixed review Surface area and volume Introduction to surface area and volume Surface area of prisms and cylinders Surface area of pyramids and cones Surface area of spheres Volume of prisms and cylinders Volume of pyramids and cones Volume of spheres Introduction to similar solids Surface area and volume of similar solids Surface area and volume: changes in scale Perimeter, area, and volume: changes in scale Surface area and volume review Circles Parts of a circle Central angles and arc measures Arc length Convert between radians and degrees Radians and arc length Area of sectors Circle measurements: mixed review Arcs and chords Tangent lines Perimeter of polygons with an inscribed circle Inscribed angles Angles in inscribed right triangles Angles in inscribed quadrilaterals I Construct a tangent line to a circle Construct an equilateral triangle inscribed in a circle Construct a square inscribed in a circle Construct a regular hexagon inscribed in a circle Construct the inscribed or circumscribed circle of a triangle Circles and parabolas in the coordinate plane Find the center of a circle Find the radius or diameter of a circle Write equations of circles in standard form from graphs Write equations of circles in standard form using properties Convert equations of circles from general to standard form Find properties of circles from equations in general form Graph circles from equations in standard form Graph circles from equations in general form Find the vertex of a parabola Find the focus or directrix of a parabola Find the axis of symmetry of a parabola Write equations of parabolas in vertex form from graphs Write equations of parabolas in vertex form using properties Convert equations of parabolas from general to vertex form Find properties of a parabola from equations in general form Graph parabolas Measurement Convert rates and measurements: customary units Convert rates and measurements: metric units Convert square and cubic units of length Precision Greatest possible error Minimum and maximum area and volume Percent error Percent error: area and volume Calculate density, mass, and volume Probability Theoretical and experimental probability Outcomes of compound events Identify independent and dependent events Probability of independent and dependent events Counting principle Permutations Permutation and combination notation Find probabilities using combinations and permutations Find probabilities using two-way frequency tables Identify independent events Find conditional probabilities Independence and conditional probability Find conditional probabilities using two-way frequency tables Geometric probability Find probabilities using the addition rule Vectors Compass directions and vectors Find the magnitude of a vector Find the component form of a vector Find the component form of a vector given its magnitude and direction angle Graph a resultant vector using the triangle method Graph a resultant vector using the parallelogram method Add vectors Subtract vectors Share this:TwitterFacebookLike this:Like 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