A. Algebra review

1. Ratios and proportions
2. Scale drawings: word problems
3. Number sequences
4. Shape patterns
5. Properties of exponents
7. Write variable expressions
8. Solve linear equations
9. Solve linear inequalities
10. Solve systems of linear equations
11. Solve a quadratic equation by factoring

B. Points, lines, line segments, and planes

1. Lines, line segments, and rays
2. Properties of planes, lines, and points
3. Describe intersections in a plane
4. Lengths of segments on number lines
6. Midpoints
7. Congruent line segments
8. Construct a congruent segment
9. Perpendicular Bisector Theorem
10. Midpoint formula: find the midpoint
11. Partition a line segment in a given ratio
12. Midpoint formula: find the endpoint
13. Distance formula
14. Distance to the origin in three dimensions
15. Construct the midpoint or perpendicular bisector of a segment
Checkpoint skill Checkpoint: Partition a line segment

C. Angles

1. Angle vocabulary
2. Angle measures
3. Identify complementary, supplementary, vertical, adjacent, and congruent angles
4. Find measures of complementary, supplementary, vertical, and adjacent angles
5. Angle diagrams: solve for the variable
6. Angle bisectors
7. Construct an angle bisector
8. Construct a congruent angle
9. Proofs involving angles

D. Parallel and perpendicular lines

1. Identify parallel, intersecting, and skew lines and planes
2. Construct a perpendicular line
3. Transversals: name angle pairs
4. Transversals of parallel lines: find angle measures
5. Transversals of parallel lines: solve for x
6. Construct parallel lines
7. Proofs involving parallel lines I
8. Proofs involving parallel lines II
Checkpoint skill Checkpoint: Definitions of geometric objects
Checkpoint skill Checkpoint: Line and angle theorems

E. Lines in the coordinate plane

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

F. Introduction to triangles

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

G. Two-dimensional figures

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

H. Three-dimensional figures

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

I. Logic

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

J. Introduction to congruent figures

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

K. Congruent triangles

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

L. Transformations

1. Classify congruence transformations
2. Translations: graph the image
3. Translations: find the coordinates
4. Translations: write the rule
5. Reflections: graph the image
6. Reflections: find the coordinates
7. Rotate polygons about a point
8. Rotations: graph the image
9. Rotations: find the coordinates
• New! Reflections and rotations: write the rule
10. Glide reflections: graph the image
11. Sequences of congruence transformations: graph the image
12. Sequences of congruence transformations: find the rules
13. Transformations that carry a polygon onto itself
14. Congruence transformations: mixed review
15. Dilations: graph the image
16. Dilations: find the coordinates
17. Dilations: find length, perimeter, and area
18. Dilations: find the scale factor
19. Dilations: find the scale factor and center of the dilation
20. Dilations and parallel lines
Checkpoint skill Checkpoint: Transformations in the plane
Checkpoint skill Checkpoint: Transformations of geometric figures
Checkpoint skill Checkpoint: Rigid motion and congruence
Checkpoint skill Checkpoint: Dilations

M. Triangles

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

1. Identify trapezoids
4. Find missing angles in quadrilaterals
6. Properties of parallelograms
7. Proving a quadrilateral is a parallelogram
8. Properties of rhombuses
9. Properties of squares and rectangles
10. Properties of trapezoids
11. Properties of kites
14. Proofs involving triangles and quadrilaterals
Checkpoint skill Checkpoint: Parallelogram theorems

O. Symmetry

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

P. Similarity

1. Similarity ratios
2. Similarity statements
3. Identify similar figures
4. Side lengths and angle measures in similar figures
5. Similar triangles and indirect measurement
6. Perimeters of similar figures
7. Angle-angle criterion for similar triangles
8. Similarity rules for triangles
9. Similar triangles and similarity transformations
10. Similarity of circles
11. Triangle Proportionality Theorem
12. Similarity and altitudes in right triangles
13. Areas of similar figures
14. Prove similarity statements
15. Prove proportions or angle congruences using similarity
16. Proofs involving similarity in right triangles
Checkpoint skill Checkpoint: Similarity transformations
Checkpoint skill Checkpoint: Triangle similarity and congruence
Checkpoint skill Checkpoint: Prove circles are similar

Q. Pythagorean theorem

1. Pythagorean theorem
2. Prove the Pythagorean theorem
3. Converse of the Pythagorean theorem
4. Pythagorean Inequality Theorems

R. Trigonometry

1. Trigonometric ratios: sin, cos, and tan
2. Trigonometric ratios: csc, sec, and cot
3. Trigonometric ratios in similar right triangles
4. Special right triangles
5. Find trigonometric functions of special angles
6. Solve a special right triangle
7. Find trigonometric functions using a calculator
8. Sine and cosine of complementary angles
9. Inverses of trigonometric functions
10. Trigonometric ratios: find a side length
11. Trigonometric ratios: find an angle measure
12. Solve a right triangle
13. Law of Sines
14. Law of Cosines
15. Solve a triangle
16. Area of a triangle: sine formula
17. Area of a triangle: Law of Sines
Checkpoint skill Checkpoint: Right triangle trigonometry
Checkpoint skill Checkpoint: Laws of Sines and Cosines

S. Area and perimeter

1. Perimeter
2. Area of rectangles and squares
3. Area of parallelograms and triangles
4. Area of trapezoids
5. Area of rhombuses
• New! Area of regular polygons
6. Area and perimeter in the coordinate plane I
7. Area and perimeter in the coordinate plane II
8. Area and circumference of circles
9. Area of compound figures
10. Area between two shapes
11. Area and perimeter of similar figures
12. Perimeter and area: changes in scale
13. Heron’s formula
14. Area and perimeter mixed review
Checkpoint skill Checkpoint: Area and perimeter in the coordinate plane

T. Surface area and volume

1. Surface area and volume of rectangular prisms
2. Surface area of prisms and cylinders
3. Surface area of pyramids and cones
4. Surface area of spheres
5. Volume of prisms and cylinders
6. Volume of pyramids and cones
7. Volume of spheres
8. Volume of compound figures
9. Similar solids: find the missing length
10. Surface area and volume of similar solids
11. Surface area and volume: changes in scale
12. Perimeter, area, and volume: changes in scale
13. Surface area and volume review
Checkpoint skill Checkpoint: Volume

U. Circles

1. Parts of a circle
2. Central angles and arc measures
3. Understand arc length and sector area of a circle
4. Arc length
5. Convert between radians and degrees
7. Area of sectors
8. Circle measurements: mixed review
9. Arcs and chords
10. Tangent lines
11. Perimeter of polygons with an inscribed circle
12. Inscribed angles
13. Angles in inscribed right triangles
14. Angles in inscribed quadrilaterals I
15. Angles in inscribed quadrilaterals II
16. Angles formed by chords, secants, and tangents
17. Segments formed by chords, secants, and tangents
18. Construct a tangent line to a circle
19. Construct an equilateral triangle inscribed in a circle
20. Construct a square inscribed in a circle
21. Construct a regular hexagon inscribed in a circle
22. Construct the inscribed or circumscribed circle of a triangle
Checkpoint skill Checkpoint: Angles and lines in circles
Checkpoint skill Checkpoint: Inscribed and circumscribed circles
Checkpoint skill Checkpoint: Arc length and area of sectors
Checkpoint skill Checkpoint: Geometric constructions

V. Circles and parabolas in the coordinate plane

1. Find the center of a circle
2. Find the radius or diameter of a circle
3. Determine if a point lies on a circle
4. Write equations of circles in standard form from graphs
5. Write equations of circles in standard form using properties
6. Convert equations of circles from general to standard form
7. Find properties of circles from equations in general form
8. Graph circles from equations in standard form
9. Graph circles from equations in general form
10. Find the vertex of a parabola
11. Find the focus or directrix of a parabola
12. Find the axis of symmetry of a parabola
13. Write equations of parabolas in vertex form from graphs
14. Write equations of parabolas in vertex form using the focus and directrix
15. Write equations of parabolas in vertex form using properties
16. Convert equations of parabolas from general to vertex form
17. Find properties of a parabola from equations in general form
18. Graph parabolas
Checkpoint skill Checkpoint: Equations of circles
Checkpoint skill Checkpoint: Equations of parabolas

W. Measurement

1. Convert rates and measurements: customary units
2. Convert rates and measurements: metric units
3. Convert square and cubic units of length
4. Precision
5. Greatest possible error
6. Minimum and maximum area and volume
7. Percent error
8. Percent error: area and volume
9. Calculate density, mass, and volume
Checkpoint skill Checkpoint: Geometric modeling and design
Checkpoint skill Checkpoint: Density

X. Probability

1. Theoretical and experimental probability
2. Outcomes of compound events
3. Identify independent and dependent events
4. Probability of independent and dependent events
5. Counting principle
6. Permutations
7. Permutation and combination notation
8. Find probabilities using combinations and permutations
9. Find probabilities using two-way frequency tables
10. Identify independent events
11. Find conditional probabilities
12. Independence and conditional probability
13. Find conditional probabilities using two-way frequency tables
14. Geometric probability
15. Find probabilities using the addition rule
Checkpoint skill Checkpoint: Understand independence and conditional probability
Checkpoint skill Checkpoint: Probabilities of compound events

Y. Vectors

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