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Geometry Course Sequence

Chapter 1 – Points, Lines, & Planes (Intro to Geometry)
Day # / Standards/Goals
Pre-Req Skills / ü  A.1.b.: I can solve single & multi-step equations & inequalities in one variable.
1 / ü  C.1.b.: I can identify and write conditional statements and use these statements to form conclusions.
2 / ü  C.1.a.: I can use definitions, basic postulates, and theorems about points, segments, lines, angles, and planes to solve problems.
ü  D.1.a.: I can identify and model plane figures, including collinear and non collinear points, lines, segments, rays, and angles using appropriate mathematical symbols.
3 / ü  C.1.a.: I can use definitions, basic postulates, and theorems about points, segments, lines, angles, and planes to solve problems.
ü  G.CO.1.:
o  I can understand the undefined terms: point, line, and distance along a line in a plane
4 / ü  G.1.b.: I can apply the midpoint and distance formulas to points and segments to find midpoints, distances, and missing information.
ü  G.CO.1.:
o  I can understand the undefined terms: point, line, and distance along a line in a plane
5 / ü  C.1.a.: I can use definitions, basic postulates, and theorems about points, segments, lines, angles, and planes to solve problems.
ü  D.1.a.: I can identify and model plane figures, including collinear and non collinear points, lines, segments, rays, and angles using appropriate mathematical symbols.
6 / ü  D.1.b.: I can identify vertical, adjacent, complementary, and supplementary angle pairs and use them to solve problems.
7 / ü  D.1.b.: I can identify vertical, adjacent, complementary, and supplementary angle pairs and use them to solve problems.
8 / ü  D.1.d.: I can use construction techniques, including straightedge and compass, to bisect and trisect segments and to create parallel and perpendicular lines, perpendicular bisectors, and angle bisectors.
9 / ü  D.2.h.: I can identify and classify regular and non-regular polygons based on the number of sides, the angle measures, and the side lengths.
10 / Review
11 / Test
Chapter 2 – Proofs & Reasoning
Day # / Standards/Goals
1 / ü  C.1.b.: I can identify and write conditional statements and use these statements to form conclusions.
ü  A.1.a.: I can apply properties such as: commutative, associative, identity, inverse, and substitution to simplify algebraic expressions.
2 / ü  C.1.a.: I can use definitions, basic postulates, and theorems about points, segments, lines, angles, and planes to write proofs.
3 / ü  D.1.b.: I can identify vertical, adjacent, complementary, and supplementary angle pairs and use them to solve problems.
4 / ü  C.1.c.: I can identify and write conditional and biconditional statements along with the converse, inverse, and contrapositive of a conditional statement and use these statements to form conclusions.
5 / ü  C.1.b.: I can use inductive reasoning to make conjectures and deductive reasoning to arrive at valid conclusions.
6 / ü  C.1.e.: I can read and write different types and formats of proofs including two-column, flowchart, and paragraph proofs.
ü  C.1.a.: I can use definitions, basic postulates, and theorems about points, segments, lines, angles, and planes to write proofs.
7 / ü  C.1.e.: I can read and write different types and formats of proofs including two-column, flowchart, and paragraph proofs.
ü  C.1.a.: I can use definitions, basic postulates, and theorems about points, segments, lines, angles, and planes to write proofs.
8 / ü  C.1.e.: I can read and write different types and formats of proofs including two-column, flowchart, and paragraph proofs.
ü  C.1.a.: I can use definitions, basic postulates, and theorems about points, segments, lines, angles, and planes to write proofs.
9 / ü  C.1.e.: I can read and write different types and formats of proofs including two-column, flowchart, and paragraph proofs.
ü  C.1.a.: I can use definitions, basic postulates, and theorems about points, segments, lines, angles, and planes to write proofs.
10 / ü  C.1.e.: I can read and write different types and formats of proofs including two-column, flowchart, and paragraph proofs.
ü  C.1.a.: I can use definitions, basic postulates, and theorems about points, segments, lines, angles, and planes to write proofs.
11 / Review
12 / Test Part I (Free Response)
13 / Test Part II (Multiple Choice)
Chapter 3 – Lines (Parallel, Perpendicular & Slope)
Day # / Standards/Goals
1 / ü  D.1.c.: I can identify corresponding, same-side interior, same-side exterior, alternate interior, and alternate exterior angle pairs formed by a pair of parallel lines and a transversal and use these special angle pairs to solve problems.
2 / ü  D.1.c.: I can identify corresponding, same-side interior, same-side exterior, alternate interior, and alternate exterior angle pairs formed by a pair of parallel lines and a transversal and use these special angle pairs to solve problems.
ü  D.1.f.: I can apply properties and theorems of parallel and perpendicular lines to solve problems.
3 / ü  D.1.c.: I can identify corresponding, same-side interior, same-side exterior, alternate interior, and alternate exterior angle pairs formed by a pair of parallel lines and a transversal and use these special angle pairs to solve problems.
ü  D.1.f.: I can apply properties and theorems of parallel and perpendicular lines to solve problems.
4 / ü  C.1.d.: I can use various methods to prove that two lines are parallel or perpendicular by using coordinates or angle measures.
ü  D.1.c.: I can identify corresponding, same-side interior, same-side exterior, alternate interior, and alternate exterior angle pairs formed by a pair of parallel lines and a transversal and use these special angle pairs to solve problems.
ü  D.1.f.: I can apply properties and theorems of parallel and perpendicular lines to solve problems.
5 / ü  A.1.d.: I can recognize the concept of slope as a rate of change, and can determine the slope when given the equation of a line in standard form or slope-intercept form, the graph of a line, two points or a verbal description.
ü  G.1.a.: I can use slope to distinguish between and write equations for parallel and perpendicular lines.
ü  G.GPE.5.: I can prove that two lines are parallel or perpendicular based on the slope of the lines.
ü  A.1.e.: I can graph a linear equation using a table of values, x & y intercepts, or slope-intercept form
6 / ü  A.1.c.: I can write linear equations in standard form and slope-intercept form when given two points, a point and the slope, or the graph of the equation.
ü  G.1.a.: I can use slope to distinguish between and write equations for parallel and perpendicular lines.
7 / Review
8 / Test
Chapter 4 – Transformations & Intro to Quadratics
Day # / Standards/Goals
1 / ü  G.CO.4./ E.1.e.: I can identify and draw images of transformations and use their properties to solve problems.
o  I can understand the image, pre-image, scale factor, center, and similar figures as how they relate to transformations.
ü  G.CO.4./ E.1.e.: I can identify and draw images of transformations and use their properties to solve problems.
ü  G.CO.5.: I can draw a transformed figure and describe the sequence of transformations that were used to carry the given figure onto the other.
ü  G.CO.2./ G.1.e.: I can determine the effect of reflections and their compositions on the coordinate plane.
ü  G.CO.7.: I can understand the definition of congruence and how it relates to a transformation that is a ‘rigid motion’.
2 / ü  G.CO.4./ E.1.e.: I can identify and draw images of transformations and use their properties to solve problems.
o  I can understand the image, pre-image, scale factor, center, and similar figures as how they relate to transformations.
ü  G.CO.4./ E.1.e.: I can identify and draw images of transformations and use their properties to solve problems.
ü  G.CO.5.: I can draw a transformed figure and describe the sequence of transformations that were used to carry the given figure onto the other.
ü  G.CO.2./ G.1.e.: I can determine the effect of reflections and their compositions on the coordinate plane.
ü  G.CO.7.: I can understand the definition of congruence and how it relates to a transformation that is a ‘rigid motion’.
3 / ü  G.CO.2./ G.1.e.: I can determine the effect of reflections and their compositions on the coordinate plane.
ü  G.CO.7.: I can understand the definition of congruence and how it relates to a transformation that is a ‘rigid motion’.
4 / ü  G.CO.2./ G.1.e.: I can determine the effect of rotations and their compositions on the coordinate plane.
ü  G.CO.7.: I can understand the definition of congruence and how it relates to a transformation that is a ‘rigid motion’.
5 / ü  G.CO.2./ G.1.e.: I can determine the effect of rotations and their compositions on the coordinate plane.
ü  G.CO.7.: I can understand the definition of congruence and how it relates to a transformation that is a ‘rigid motion’.
6 / ü  G.SRT.1a: I can understand the idea of a dilation in the context of transformations.
o  I can identify the scale factor from a dilation.
o  I can understand the image, pre-image, scale factor, center, and similar figures as how they relate to transformations.
ü  G.SRT.1b: I can explain how a scale factor shows how much larger or smaller a figure becomes after a dilation.
7 / ü  E.1.a.: I can determine points or lines of symmetry and apply the properties of symmetry to figures.
8 / From Algebra II standards:
ü  I can identify the shape of a graph of a quadratic function.
ü  I can identify both the standard & vertex form of a quadratic function.
ü  I can determine whether a quadratic function has a maximum or minimum value.
ü  E.2.a.: I can determine the domain and range of a quadratic function; graph the function with and without technology.
ü  I can determine the translations that may occur with a quadratic function and decide whether it is a reflection, stretch, compression, or a shift and in what direction and by how many units.
9 / From Algebra II standards:
ü  I can identify the shape of a graph of a quadratic function.
ü  I can identify both the standard & vertex form of a quadratic function.
ü  I can determine whether a quadratic function has a maximum or minimum value.
ü  E.2.a.: I can determine the domain and range of a quadratic function; graph the function with and without technology.
ü  I can determine the translations that may occur with a quadratic function and decide whether it is a reflection, stretch, compression, or a shift and in what direction and by how many units.
10 / ü  G.GPE.2.: I can derive the equation of a parabola based on a given focus or directrix.
11 / Review
12 / Test
Chapter 5 – Triangles Part I
Day # / Standards/Goals
1 / ü  D.2.a.: I can identify and classify triangles by their sides and angles.
2 / ü  I can understand angle relationships in triangles.
3 / ü  D.2.j. I can apply the Isosceles Triangle Theorem and its converse to triangles to solve mathematical and real-world problems.
4 / ü  C.1.g. I can use the principle that corresponding parts of congruent triangles are congruent to solve problems.
5 / ü  C.1.f.: I can prove that two triangles are congruent by applying the SSS, SAS, ASA, and AAS congruence statements.
ü  C.1.g. I can use the principle that corresponding parts of congruent triangles are congruent to solve problems.
6 / ü  G.CO.10: I can prove theorems about triangles.
ü  C.1.f.: I can prove that two triangles are congruent by applying the SSS, SAS, ASA, and AAS congruence statements.
ü  C.1.g. I can use the principle that corresponding parts of congruent triangles are congruent to solve problems.
7 / ü  G.CO.10: I can prove theorems about triangles.
ü  C.1.f.: I can prove that two triangles are congruent by applying the SSS, SAS, ASA, and AAS congruence statements.
ü  C.1.g. I can use the principle that corresponding parts of congruent triangles are congruent to solve problems.
8 / Review
9 / Test
Chapter 6 – Triangles Part II
Day # / Standards/Goals
1 / ü  G.CO.12.: I can solve problems with triangles that involve a midsegment.
2 / ü  D.2.b.: I can identify medians, altitudes, perpendicular bisectors, and angle bisectors of triangles and use their properties to solve problems.
3 / ü  D.2.b.: I can identify medians, altitudes, perpendicular bisectors, and angle bisectors of triangles and use their properties to solve problems.
4 / ü  D.2.b.: I can identify medians, altitudes, perpendicular bisectors, and angle bisectors of triangles and use their properties to solve problems.
5 / ü  D.2.c.: I can apply the triangle inequality theorem to determine if a triangle exists and the order of sides and angles.
6 / ü  D.2.c.: I can apply the triangle inequality theorem to determine if a triangle exists and the order of sides and angles.
7 / ü  G.CO.9.: I can prove theorems in proofs about triangles.
8 / ü  G.CO.9.: I can prove theorems in proofs about triangles.
9 / ü  G.CO.9.: I can prove theorems in proofs about triangles.
10 / Review
11 / Test Part I (Free Response)