Algebra review
Points, lines, and segments
Angles
Parallel and perpendicular lines
Lines in the coordinate plane
Introduction to triangles
Two-dimensional figures
Three-dimensional figures
Logic
Introduction to congruent figures
Congruent triangles
Transformations
Triangles
Quadrilaterals
Symmetry
Similarity
Right triangles
Trigonometry
Area and perimeter
Surface area and volume
Circles
Circles in the coordinate plane
Measurement
Probability
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- Ratios and proportions
- Scale maps and drawings
- Properties of exponents
- Simplify radical expressions
- Write variable expressions and equations
- Solve linear equations
- Solve linear inequalities
- Solve systems of linear equations
- Solve quadratic equations
Points, lines, and segments
- Lines, line segments, and rays
- Lengths of segments on number lines
- Additive property of length
- Midpoints
- Congruent line segments
- Perpendicular Bisector Theorem
- Midpoint formula
- Distance formula
Angles
- Angle vocabulary
- Angle measures
- Identify complementary, supplementary, vertical, adjacent, and congruent angles
- Find measures of complementary, supplementary, vertical, and adjacent angles
- Angle bisectors
- Proofs involving angles
Parallel and perpendicular lines
- Identify parallel, perpendicular, and skew lines and planes
- Transversals: name angle pairs
- Transversals of parallel lines: find angle measures
- Proofs involving parallel lines I
- Proofs involving parallel lines II
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
Introduction to triangles
Two-dimensional figures
- Polygon vocabulary
- Interior angles of polygons
- Exterior angles of polygons
- Review: interior and exterior angles of polygons
Three-dimensional figures
- Three-dimensional figure vocabulary
- Parts of three-dimensional figures
- Nets and drawings of three-dimensional figures
- Cross-sections of three-dimensional figures
- Solids of revolution
Logic
- Identify hypotheses and conclusions
- Counterexamples
- Truth tables
- Truth values
- Conditionals
- Negations
- Converses, inverses, and contrapositives
- Biconditionals
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
- 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
- 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
- Classify congruence transformations
- 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
- Proofs involving triangles I
- Proofs involving triangles II
Quadrilaterals
- Classify 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 I
- Proofs involving quadrilaterals II
Symmetry
Similarity
- Identify similar figures
- Similarity ratios
- Similarity statements
- 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
- Areas of similar figures
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
- 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 and perimeter
- Perimeter
- Area of rectangles and squares
- Area of parallelograms and triangles
- Area of trapezoids
- Area and perimeter in the coordinate plane I
- Area and perimeter in the coordinate plane II
- Area and circumference of circles
- Area of compound figures
- Area and perimeter of similar figures
- 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
- Volume of prisms and cylinders
- Volume of pyramids and cones
- Surface area and volume of spheres
- Introduction to similar solids
- Surface area and volume of similar solids
- Surface area and volume review
Circles
- Parts of a circle
- Central angles
- Arc measure 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
Circles 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
- Graph circles
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
Probability
- Theoretical and experimental probability
- Compound events: find the number of outcomes
- Independent and dependent events
- Permutations
- Counting principle
- Permutation and combination notation
- Geometric probability
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