Grade 10
Math 2
Scope
Students work through 2-dimensional and 3-dimensional geometric figures analyzing their properties, comparing congruence and similarities. Students explore transformations of 2-dimensional objects in both blank space and on the coordinate plane as well as constructions, dimensional analysis and applications of topics to real world problems. Large portions of the course are devoted to Euclidean style geometric proofs as well as in the Cartesian plane.
Unit — Polygons and Circles: 2D and 3D Shapes
Essential Questions
Where can you use areas of shapes in real world applications?
How can we apply our understanding of 2-dimensional figures in three dimensions?
How can a specific quadrilateral be classified?
How can we use proportions in similar triangles to derive circle segment theorems?
Guiding Questions
How can we determine the area/perimeter of 2-dimensional shapes?
What is volume/Surface Area?
What properties does a given quadrilateral have?
How can we use midpoint to find the center of a circle given two points on the diameter of a circle?-
Resources
Geometry Common Core by Amsco ©2015
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Geometry: Congruence: G.CO.1, G.CO.11
Geometry: Similarity, Right Triangles, and Trigonometry: G.SRT.8
Geometry: Circles: G.C.1, G.C.2, G.C.3
Geometry: Expressing Geometric Properties with Equations: G.GPE.1
Geometry: Geometric Measurement and Dimension: G.GMD.1, G-GMD.3, G.GMD.4
Geometry: Modeling with Geometry: G.MG.1, G.MG.2, G.MG.3
Unit — Constructions and Transformations
Essential Questions
What shapes are we creating when we are performing a construction?
What are the kinds of transformations that a polygon can undergo?
Guiding Questions
How can we use the construction of perpendicular lines to create parallel lines?
What type of symmetry does a particular figure have?
What is scale factor?
Resources
Geometry Common Core by Amsco ©2015
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Geometry: Congruence: G.CO.2, G.CO.3, G.CO.4, G.CO.5, G.CO.6, G.CO.7, G.CO.12, G.CO.13
Geometry: Similarity, Right Triangles, and Trigonometry: G.SRT.1, G.SRT.1a, G.SRT.1b, G.SRT.2, G.SRT.3
Unit — Coordinate Geometry and Geometric Proofs: Congruent and Similar
Essential Questions
How do you show that two triangles are congruent?
How can I use the similarity theorems to prove a set pair of triangles similar?
How can we apply the properties we learned during the quadrilaterals unit to prove a quadrilateral is a parallelogram on the coordinate plane?
Guiding Questions
How do you solve parts of angles or segments if given some other parts or segments?
How do you solve parts of angles or segments if it is similar to another triangle?
How can we prove a quadrilateral is a parallelogram?
Resources
Geometry Common Core by Amsco ©2015
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Geometry: Congruence: G.CO.1, G.CO.8, G.CO.9, G.CO.10
Geometry: Similarity, Right Triangles, and Trigonometry: G.SRT.3, G.SRT.4, G.SRT.5, G.SRT.6, G.SRT.7, G.SRT.8
Geometry: Expressing Geometric Properties with Equations: G.GPE.4, G.GPE.5, G.GPE.6, G.GPE.7