Geometry CP Unit Outline and Lesson Plans

All lesson plans are in the form of daily agendas located below and on our Google Classroom. 

In addition, a unit breakdown is provided with extra details. 

Unit 0: Equations Review

Relevance:

In this Unit Students will:

Review solving equations to help with future content in this course.

By completing these tasks, students are studying probability structures which will enhance students’ ability to organize information and improve decision making. 

Standards Covered During Unit:

Unit 1: Foundations of Geometry (Naming Figures in Geometry and Angles)

Project: 

Relevance:

Students will get the building blocks for all topics in Geometry with this unit.

Students will be able to work with angles in different settings to prepare for future topics in the course. 

Standards Covered During Unit:

GS.MGSR.5.1  Justify and apply the attributes of angle relationships/lines in mathematical and real-world situations. 

GS.MGSR.7.1  Use angle and segment relationships in circles to solve mathematical and realworld situations. 

Unit 2: 2D Shapes (Coordinate Grid Mapping, Area, and Perimeter) 

Project: Putt Putt Course

Relevance:

Students will review all 2D shapes (shape descriptions and important attributes/formulas).

By making a putt putt course, the students will get the opportunity to showcase their knowledge of how shapes and angles can be used in the real world. They will present their creations to a panel with the goal of "winning" the job. 

Standards Covered During Unit:

GS.PAFR.3.1  Use coordinates to prove simple geometric theorems algebraically. 

GS.MGSR.1.1  Apply area and volume formulas of two- and three-dimensional figures to solve real-world situations. 

Unit 3: Transformations 

Project: Transformation Art

Relevance:

Students will use the 2D shapes we reviewed in the last unit to create art with transformations. 

They will show mastery with plotting coordinates, using transformations rules (dilations, reflections, rotations, and translations) by creating a piece of art. Students will present their artwork to the teacher and explain why each transformation was important for the overall creation.

Standards Covered During Unit:

GS.PAFR.3.1  Use coordinates to prove simple geometric theorems algebraically. 

GS.MGSR.2.1  Describe the results of transformations on a given figure using geometric terminology from the definitions of the transformations. 

GS.MGSR.2.2  Describe and apply a sequence of transformations that maps a preimage onto its image. 

GS.MGSR.3.2  Demonstrate that triangles and quadrilaterals are congruent by a combination of translations, rotations, and reflections. 

GS.MGSR.4.1  Demonstrate experimentally the properties of dilations given by a center and a scale factor. 

GS.MGSR.4.2  Justify experimentally that a dilation of a line segment is longer or shorter, given the ratio. 

Unit 4: Lines

Project: 

Relevance:

Students will be able to rearrange equations and write equations of lines given different information. This will prepare students for Algebra 1 in addition to the geometry topic connection. 

Standards Covered During Unit:

GS.PAFR.3.2  Determine distance and midpoint of segments in a coordinate plane to find areas of triangles and quadrilaterals, when given coordinates

GS.PAFR.2.2  Analyze slopes of lines to determine whether lines are parallel, perpendicular, or neither. 

GS.PAFR.2.3  Determine the equation of a line passing through a given point that is parallel or perpendicular to a given line. 

Unit 5A: Triangle Congruence and Similarity

Project: 

Relevance:

Students will 

Standards Covered During Unit:

GS.MGSR.5.1  Justify and apply the attributes of angle relationships/lines in mathematical and real-world situations. 

GS.MGSR.5.2  Apply the attributes of triangles in mathematical and real-world situations. 

GS.MGSR.4.3  Recognize that the criteria for showing triangles are similar using a similarity transformation that maps one figure to the other and justify the two triangles are similar by applying the Angle-Angle, SideSide-Side, and Side-Angle-Side similarity conditions. 

Unit 5B: Right Triangles

Relevance:

Students will 

Standards Covered During Unit:

GS.MGSR.3.3  Recognize the criteria for showing triangles are congruent using a sequence of rigid motions that map one triangle to another and justify that the two triangles are congruent by applying the Side-SideSide, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions. 

GS.MGSR.6.1  Discover and apply the converse of the Pythagorean Theorem. 

GS.NR.1.1  Rewrite numerical expressions of irrational and rational numbers involving radicals, including addition, subtraction, multiplication, and division, to recognize geometric patterns. 

GS.MGSR.6.2  Discover and apply the constant ratios of the sides in 30-60-90 and 45-45-90 right triangles. 

GS.MGSR.6.3  Define the trigonometric ratios using the properties of similar right triangles. 

GS.MGSR.6.4  Determine the sine, cosine, and tangent of an acute angle in a right triangle in the context of mathematical and real-world situations. 

GS.MGSR.6.5  Apply trigonometric ratios (sine, cosine, tangent) and the Pythagorean Theorem to solve right triangle problems in real-life situations.

Unit 6: Quadrilaterals 

Project: 

Relevance:

Students will 

Standards Covered During Unit:

GS.MGSR.3.2  Demonstrate that triangles and quadrilaterals are congruent by a combination of translations, rotations, and reflections. 

GS.MGSR.5.3  Apply the attributes of quadrilaterals, including diagonals, sides, and angles, to prove that a given quadrilateral is a parallelogram in mathematical and realworld situations. 

GS.PAFR.3.1  Use coordinates to prove simple geometric theorems algebraically. 

Unit 7: Surface Area & Volume

Project: 

Relevance:

Students will 

Standards Covered During Unit:

GS.PAFR.1.1  Discover and apply the formulas for the length of an arc and the area of a sector in a circle to develop mathematical models and solve mathematical and realworld situations. 

GS.PAFR.1.2  Analyze and apply the derivations of the formulas for the circumference of a circle, area of a circle, and volume of a cylinder, pyramid, and cone to model real phenomena and solve mathematical and real-world situations.

GS.PAFR.2.1  Apply surface area and volume formulas for prisms, cylinders, pyramids, cones, spheres, and/or compositions of figures to solve problems and justify results. 

GS.MGSR.1.1  Apply area and volume formulas of two- and three-dimensional figures to solve real-world situations. 

GS.MGSR.1.2  Identify the shape of a two-dimensional cross-section of a three-dimensional figure. 

GS.MGSR.1.3  Use cross-sections of three-dimensional figures to model and solve mathematical and real-world situations. 

Unit 8: Circles

Project: 

Relevance:

Students will 

Standards Covered During Unit:

GS.MGSR.7.1  Use angle and segment relationships in circles to solve mathematical and realworld situations. 

GS.MGSR.7.2  Investigate and apply relationships in circles, inscribed angles, radii, secants, and chords; among inscribed angles, central angles, and circumscribed angles; and between radii and tangents to circles.