Embedded Files
- Point, Line, and Plane
- Segment Relationships CFA /Addition CFA
- Segment Constructions CFA
- Common Quiz H CP CPS
- Angle Relationships CFA /Addition CFA
- Angle Constructions CFA
- Common Quiz H CP CPS
(5 classes) Teacher access only - PBA: H1 - H2 - H3 - CP - CPS - MOD
- Parallel Lines Cut by a Transversal CFA
- Justification of Parallel Lines CFA
- Slope of Parallel and Perpendicular Lines
- Construction of Parallel and Perpendicular Lines
(4 classes) Teacher access only: H CP CPS
- Conditional Statements
- Symbolic Notation
- Logical Arguments
1-7 Writing Proofs CFA
H 1-8 Indirect Proof CFA
(6 classes) Teacher access only: H CP
CCSS.MATH.CONTENT.HSG.CO.C.9 - Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.CCSS.MATH.CONTENT.HSG.CO.C.10 - Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
Translations, Reflection, Rotations, and composition of transformations
3-1 Reflections CFA
3-2 Translations CFA
3-3 Rotations CFA
3-4 Classification of Rigid Motions CFA
3-5 Symmetry CFA MathIsFun App
(7 classes) Teacher access only - PBA: H CP CP/S mod
1 CCSS.MATH.CONTENT.HSG.CO.A.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.2 3 4 CCSS.MATH.CONTENT.HSG.CO.A.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.5 CCSS.MATH.CONTENT.HSG.CO.A.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
Classify triangles, angle measures, congruence, prove triangles congruent, prove congruence, isosceles and equilateral triangles
4-1 Congruence CFA
4-2 Isosceles and Equilateral Triangles CFA
4-3 Proving and Applying SAS and SSS Congruence Criteria CFA
4-4 Proving and Applying ASA and AAS Congruence Criteria CFA
H CP 4-6 Congruence in Overlapping Triangles CFA
(8 classes) Teacher access only - PBA: H CP CP/S i
1 6 CCSS.MATH.CONTENT.HSG.CO.B.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.2 CCSS.MATH.CONTENT.HSG.CO.D.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.3 4 CCSS.Math.Content.HSG-CO.B.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.5 CCSS.MATH.CONTENT.HSG.CO.C.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
Special segments, (points of concurrency), Inequalities in one and two triangles
5-1 Perpendicular and Angle Bisectors
5-2 Bisectors in Triangles
5-3 Medians and Altitudes
5-4 Inequalities in One Triangle
H CP 5-5 Inequalities in Two Triangles
(5 classes) Teacher access only - PBA: H CP CP/S
1 CCSS.MATH.CONTENT.HSG.CO.C.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.2 3 4 5 CCSS.MATH.CONTENT.HSG.CO.C.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
Midterm Exam - Teacher Access only.
Similar polygons, similar triangles (AAS, SAS, SSS with proofs), (Parallel lines and proportional parts), (special segments in similar triangles), Dilations
7-1,2 Dilations and Similarity Transformations CFA
7-3 Proving Triangles Similar CFA
7-5 Proportions in Triangles
(8 classes) Teacher Access only - PBA: H CP CP/S i
1 CCSS.MATH.CONTENT.HSG.CO.A.2Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).CCSS.MATH.CONTENT.HSG.CO.A.5Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.2 CCSS.MATH.CONTENT.HSG.SRT.A.1 Verify experimentally the properties of dilations given by a center and a scale factor. CCSS.MATH.CONTENT.HSG.SRT.A.1.B The dilation of a line segment is longer or shorter in the ratio given by the scale factor. CCSS.MATH.CONTENT.HSG.SRT.A.2 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.3 CCSS.MATH.CONTENT.HSG.SRT.A.3 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. 3 4 CCSS.MATH.CONTENT.HSG.SRT.B.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.4 5 CCSS.MATH.CONTENT.HSG.SRT.B.4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.5 CCSS.MATH.CONTENT.HSG.CO.C.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
(Special right triangles), trig ratios (w/inverses), angles of elevation and depression (w/ systems), (Law of Sines), (Law of Cosines), (Applications of Law of Sines and Cosines)
8-1 Right Triangles and Pythagorean Theorem CFA
Special Right Triangles
8-2 Trigonometric Ratios CFA
Using Trig Ratios to find missing sides CFA
Using Trig Ratios to find missing angles CFA
H CP 8-3 Law of Sines CFA
H CP 8-4 Law of Cosines CFA
8-5 Problem Solving with Trigonometry (elevation and depression) CFA
(12 classes) Teacher access only - PBA: H CP CPS Mod
1 CCSS.MATH.CONTENT.HSG.SRT.B.4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. CCSS.MATH.CONTENT.HSG.SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*2 CCSS.MATH.CONTENT.HSG.SRT.C.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. CCSS.MATH.CONTENT.HSG.SRT.C.7 Explain and use the relationship between the sine and cosine of complementary angles. CCSS.MATH.CONTENT.HSG.SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*3 4 CCSS.MATH.CONTENT.HSG.SRT.D.10 (+) Prove the Laws of Sines and Cosines and use them to solve problems. CCSS.MATH.CONTENT.HSG.SRT.D.11 (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).5 CCSS.MATH.CONTENT.HSG.SRT.C.7 Explain and use the relationship between the sine and cosine of complementary angles. CCSS.MATH.CONTENT.HSG.SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*
Parallelograms, rectangles, rhombi, square, trapezoids, & coordinate tests.
Parallelograms CFA
Rectangles CFA
Squares and Rhombi CFA
CP Kites
Coordinate Geometry
Trapezoid CFA-Iso
(7 classes) Teacher access only - PBA: H CP CPS
CCSS.MATH.CONTENT.HSG.SRT.B.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.CCSS.MATH.CONTENT.HSG.CO.C.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
Circumference, definitions, Arcs, central angles,(Sectors), Chords, (Inscribed Angles), (Tangents), (Secants), (inscribed polygons).
10-1 Arcs and Sectors
H CP 10-2 Tangent Lines to a Circle
10-3 Chords
H CP 10-4 Inscribed Angles
H CP 10-5 Secant Lines and Segments
(9 Classes) Teacher access only - PBA: H CP CPS
1 CCSS.MATH.CONTENT.HSG.CO.A.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. CCSS.MATH.CONTENT.HSG.C.B.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.2 CCSS.MATH.CONTENT.HSG.C.A.4 (+) Construct a tangent line from a point outside a given circle to the circle.3 CCSS.MATH.CONTENT.HSG.CO.D.13 Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.2 3 4 5 CCSS.MATH.CONTENT.HSG.C.A.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
Area all polygons including regular, volume, prisms, cones, cylinders, pyramids, spheres, 3D figures and cross sections
H 11-1 Space Figures and Cross Sections
H 11-2 Volumes or Prisms and Cylinders
H 11-3 Pyramids and Cones
H 11-4 Spheres
(5 classes) Teacher Access only - PBA: H CP CPS
1 CCSS.MATH.CONTENT.HSG.GMD.B.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.2 3 4 CCSS.MATH.CONTENT.HSG.GMD.A.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments. CCSS.MATH.CONTENT.HSG.GMD.A.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.*
Final Exam - Teacher Access only.
Coventry High School Mathematics Department
Coventry High School Mathematics Department
40 Reservoir Rd, Coventry RI 02816 - 401-822-9499 - email
40 Reservoir Rd, Coventry RI 02816 - 401-822-9499 - email
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