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Transcript
Geometry Quarter 2 Curriculum Map
2013-2014
CCSS for Mathematical Practice:
1. Make sense of problems and persevere in solving them
2. Reason abstractly and quantitatively
3. Construct viable arguments and critique those made by others
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
Unit 4: Congruent Triangles
Unit
Timeline
Standards
Congruent
7 days • G.CO.6 Use geometric descriptions of rigid
Triangles
for
motions to transform figures and to predict
instructio the effect of a given rigid motion on a given
n and
figure; given two figures, use the definition
review
of congruence in terms of rigid motions to
decide if they are congruent.
1 day for
assessme
• G.CO.7 Use the definition of congruence in
nt
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.
•
G.CO.8 Explain how the criteria for
triangle congruence (ASA, SAS, and SSS)
follow from the definition of congruence in
terms of rigid motions.
•
•
•
•
•
Review Standards
(M)ajor Content,
(S)upporting Content
(A)dditional Content
(+) Honors
Textbook Resource: Pearson’s Geometry Common Core Pearson’s online resource: www.pearsonsuccess.net 2nd Quarter
Learning Expectation
Identify corresponding parts of
congruent triangles
Prove that two triangles are
congruent
Determine whether a triangle is
isosceles or equilateral, and
understand their properties.
Suggested Instructional Days: 8
Vocabulary
Resources
Page 80
2-5 Reasoning in
Theorem
Algebra and Geometry
(Proof Introduction)
Page 216
4-1 Congruent Figures
Base angles on an
4-2 Triangle
isosceles triangle
Congruence by SSS
Base of an
and SAS
isosceles triangle
4-3 Triangle
Congruent
Congruence by ASA
polygons
and AAS
Corollary
4-4 CPCTC
Hypotenuse
4-5 Isosceles and
Legs of isosceles
Equilateral Triangles
triangle
4-6 Congruence in
Legs of right
Right Triangles
triangle
Vertex angle of an
isosceles triangle
G.CO.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.
Geometry Quarter 2 p. 1
Geometry Quarter 2 Curriculum Map
Unit 5: Quadrilaterals
Quadrilaterals
5 days
for
instructio
n and
review
1 day for
assessme
nt
G.CO.6 Use geometric descriptions of
rigid motions to transform figures and to
predict the effect of a given rigid motion on
a given figure; given two figures, use the
definition of congruence in terms of rigid
motions to decide if they are congruent.
G.CO.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.
2nd Quarter
Find the measures of polygon
angles
Classify quadrilaterals
2013-2014
Suggested Instructional Days: 6
Page 350
Equiangular
polygon
Equilateral polygon
Isosceles trapezoid
Kite
Mid-segment of a
trapezoid
Parallelogram
Rectangle
Regular polygon
Rhombus
Trapezoid
6-1 The Polygon-Angle
Sum Theorems
6-2 Properties of
Parallelograms
6-3 Proving That a
Quadrilateral Is a
Parallelogram
6-4 Properties of
Rhombuses,
Rectangles, and
Squares
6-5 Conditions for
Rhombuses,
Rectangles, and
Squares
6-6 Trapezoids and
Kites
Quarter 2 Assessment
Additional Resources:
Floor Pattern: http://map.mathshell.org/materials/tasks.php?taskid=258&subpage=apprentice
Evaluating Statements about Length and Area: http://map.mathshell.org/materials/lessons.php?taskid=212&subpage=concept
NOTES/REFLECTIONS:
Geometry Quarter 2 p. 2