Common Core Geometry
Unit 2: Triangles, Proof, and Similarity
PARCC Exam Notes
Unit 2: Assessment Clarifications
Standard
M/S/A
G.CO.C.10
Major
G.SRT.A.3
Major
G.SRT.B.4
Major
G.GPE.B.6
Major
G.CO.D.12
Supp
G.CO.B.7
Major
G.CO.B.8
Major
G.CO.C.9
Major
PBA/
EOY?
PBA
Yes (for
Sub-C)
EOY
Yes
PBA
Yes (for
Sub-C)
EOY No
PBA
Yes (for
Sub-C)
EOY No
PBA
Yes
EOY
Yes
PBA
Yes (for
Sub-C
and SubD)
EOY
Yes
PBA
Yes
EOY No
PBA
(Yes for
Sub-C)
EOY No
PBA
Yes (for
Sub-C
and SubD)
EOY
Yes
Calc?
MP
Notes
Yes
3
Connected to Evidence Statement HS.C.14.1
Construct, autonomously, chains of reasoning that will justify or refute geometric propositions or conjectures. Content scope: G-CO.9, G-CO.10.
Neutral
3, 6
Yes
3
Prove geometric theorems as detailed in G-CO.C.
i) About 75% of tasks align to G.CO.9 or G.CO.10.
Connected to Evidence Statements HS.C.14.5
Construct, autonomously, chains of reasoning that will justify or refute geometric propositions or conjectures. Content Scope: G-SRT.A.
N/A
N/A
May only appear in integrative task (see below)
Connected to Evidence Statements HS.C.14.6
Construct, autonomously, chains of reasoning that will justify or refute geometric propositions or conjectures. Content Scope: G-SRT.B.
N/A
Neutral
N/A
1, 5
May only appear in integrative task (see below)
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Yes
3
Neutral
1, 5
Connected to Evidence Statement HS.C.13.1
Apply geometric reasoning in a coordinate setting, and/or use coordinates to draw geometric conclusions. Content scope: G-GPE.6, G-GPE.7.
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Yes
3
Connected to Evidence Statements HS.C.14.3
Construct, autonomously, chains of reasoning that will justify or refute geometric propositions or conjectures. Content scope: G-CO.D.
Neutral
4, 1,
2, 5, 7
3, 5, 6
Neutral
7
N/A
Yes
N/A
3
Connected to Evidence Statements HS.D.3-2 and HS.D.3-4
See table below for more information.
Make geometric constructions as detailed in G-CO.D.
i) About 75% of tasks align to G-CO.12.
Use the relationship between the sine and cosine of complementary angles.
i) The “explain” part of standard G-SRT.7 is not assessed here. See Sub-claim C for this aspect of the standard.
May only appear in integrative task (see below)
Connected to Evidence Statement HS.C.14.2
Construct, autonomously, chains of reasoning that will justify or refute geometric propositions or conjectures. Content scope: G-CO.A, G-CO.B.
N/A
Yes
N/A
3
May only appear in integrative task (see below)
Connected to Evidence Statement HS.C.14.1
Construct, autonomously, chains of reasoning that will justify or refute geometric propositions or conjectures. Content scope: G-CO.9, G-CO.10.
Neutral
4, 1,
2, 5, 7
3, 6
Connected to Evidence Statements HS.D.3-2, and HS.D.3-4
See table below for more information.
Prove geometric theorems as detailed in G-CO.C.
i) About 75% of tasks align to G.CO.9 or G.CO.10.
G.SRT.B.5
G.CO.C.11
G.SRT.B.6
G.SRT.C.7
G.SRT.C.8
G.SRT.D.10
(+)
G.SRT.D.11
(+)
G.SRT.D.9
(+)
Major
Yes
3
Connected to Evidence Statements HS.C.14.6
Construct, autonomously, chains of reasoning that will justify or refute geometric propositions or conjectures. Content Scope: G-SRT.B.
Neutral
7
Yes
4, 1,
2, 5, 7
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
i) For example, find a missing angle or side in a triangle.
Connected to Evidence Statements HS.D.3-2, and HS.D.3-4
See table below for more information.
Neutral
3, 6
Neutral
7
Yes
3
EOY No
PBA
Yes (for
Sub-C)
N/A
Yes
N/A
6
EOY
Yes
PBA
Yes
Neutral
7
Item
Spec
1, 2,
4, 5, 6
Yes
6
Connected to Evidence Statements HS.C.15.14
Present solutions to multi-step problems in the form of valid chains of reasoning, using symbols such as equals signs appropriately (for example,
rubrics award less than full credit for the presence of nonsense statements such as
identify or describe errors in solutions to multi-step problems and present corrected solutions. Content Scope: G-SRT.C.
Yes
4, 2
N/A
EOY
Yes
N/A
Item
Spec
N/A
1, 2,
5, 6
N/A
Connected to Evidence Statements HS.D.2-11
Solve multi-step contextual word problems with degree of difficulty appropriate to the course, requiring application of course-level knowledge
and skills articulated in G-SRT.8 involving right triangles in an applied setting.
i) Tasks may or may not require the student to autonomously make an assumption or simplification in order to apply techniques of right triangles.
For example, a configuration of three buildings might form a triangle that is nearly but not quite a right triangle, so that a good approximate
result can be obtained if the student autonomously approximates the triangle as a right triangle.
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.★
i) Tasks have multiple steps. ii) Tasks have a context.
Not assessed on PARCC
N/A
N/A
N/A
N/A
Not assessed on PARCC
N/A
N/A
N/A
N/A
Not assessed on PARCC
Major
Major
Major
Major
PBA
Yes (for
Sub-C)
EOY
Yes
PBA
Yes (for
Sub-D)
EOY
Yes
PBA
Yes
Prove geometric theorems as detailed in G-CO.C.
i) About 75% of tasks align to G.CO.9 or G.CO.10.
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.
i) Trigonometric ratios include sine, cosine, tangent, cotangent, secant and cosecant
Connected to Evidence Statements HS.C.14.6
Construct, autonomously, chains of reasoning that will justify or refute geometric propositions or conjectures. Content Scope: G-SRT.B.
May only appear in integrative task (see below)
Connected to Evidence Statements HS.C.15.14
Present solutions to multi-step problems in the form of valid chains of reasoning, using symbols such as equals signs appropriately (for example,
rubrics award less than full credit for the presence of nonsense statements such as
identify or describe errors in solutions to multi-step problems and present corrected solutions. Content Scope: G-SRT.C.
Use the relationship between the sine and cosine of complementary angles.
i) The “explain” part of standard G-SRT.7 is not assessed here; see Sub-claim C for this aspect of the standard.
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.★
i) Tasks have multiple steps. ii) Tasks have a context. Iii) For rational solutions, exact values are required. For irrational solutions, exact or
decimal approximations may be required. Simplifying or rewriting radicals is not required. (For Geometry ONLY)
Overarching Standards:
Standard
M/S/A
G.CO.A.1
Supp
G.MG.A.1
Major
G.MG.A.2
Major
G.MG.A.3
Major
PBA/
EOY?
PBA
Yes
EOY
Yes
PBA No
EOY
Yes (for
Int)
PBA No
EOY
Yes (for
Int)
PBA No
EOY
Yes (for
Int)
Calc?
MP
Notes
Neutral
6
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.
Yes
Neutral
4, 1,
2, 5, 7
6
N/A
Item
Spec
N/A
1, 2,
5, 6, 4
Connected to Evidence Statements HS.C.14.2, HS.D.3-2, and HS.D.3-4
See table below for more information
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.
N/A
Connected to Evidence Statement G-Int.1
See table below for more information.
N/A
Item
Spec
N/A
1, 2,
5, 6, 4
N/A
Connected to Evidence Statement G-Int.1
See table below for more information.
N/A
Item
Spec
N/A
1, 2,
5, 6, 4
N/A
Connected to Evidence Statement G-Int.1
See table below for more information.
Other Integrative Tasks may be linked to Unit 2
Evidence
Statement
Linked to …
PBA/
EOY?
Calc?
MP
Notes
HS.C.18.2
N/A
PBA
Yes
3, 6
HS.D.3-2
G.CO.A.1
G.CO.A.2
G.CO.A.4
G.CO.D.12
G.CO.C.9
G.SRT.A.1a
G.SRT.A.1b
G.SRT.A.2
G.CO.A.3
G.CO.C.11
G.CO.B.6
G.CO.A.5
G.CO.A.1
G.CO.A.2
G.CO.A.4
G.CO.D.12
G.CO.C.9
G.SRT.A.1a
G.SRT.A.1b
PBA
Yes
4,
may
includ
e 1, 2,
5, 7
Use a combination of algebraic and geometric reasoning to construct, autonomously, chains of reasoning that will justify or refute propositions or
conjectures about geometric figures Content scope: Algebra content from Algebra 1 course; geometry content from the Geometry course PBA.
Micro-models: Autonomously apply a technique from pure mathematics to a real-world situation in which the technique yields valuable results
even though it is obviously not applicable in a strict mathematical sense (e.g., profitably applying proportional relationships to a phenomenon
that is obviously nonlinear or statistical in nature). Content Scope: Knowledge and skills articulated in G-CO.1, G-SRT.1a, G-SRT.1b, G-SRT.2,
G-SRT.6, G-SRT.7-2, G-SRT.8, G-GPE.6, and other course level appropriate standards within G-GPE, G-CO and G-SRT (see the Model
Content Framework for specific content standards).
i) Tasks include a geometric aspect.
ii) Tasks may also include other content dimensions (e.g., algebraic, numerical).
PBA
Yes
4,
may
includ
e 1, 2,
5, 7
Reasoned estimates: Use reasonable estimates of known quantities in a chain of reasoning that yields an estimate of an unknown quantity.
Content Scope: Knowledge and skills articulated in G-CO.1, G-SRT.1a, G-SRT.1b, G-SRT.2, G-SRT.6, G-SRT.7-2, G-SRT.8, G-GPE.6, and
other course level appropriate standards within G-GPE, G-CO and G-SRT (see the Model Content Framework for specific content standards).
i) Tasks include a geometric aspect.
ii) Tasks may also include other content dimensions (e.g., algebraic, numerical).
HS.D.3-4
G.SRT.A.2
G.CO.A.3
G.CO.C.11
G.CO.B.6
G.CO.A.5
PARCC Abbreviation Key:
PBA: Performance-Based Assessment
EOY: End of Year Assessment
M/S/A: Indicates whether this standard is considered Major, Supporting, or Additional Content
MP: Standards for Mathematical Practice
* Indicates a modeling standard
PARCC Sub-Claims:
Sub-Claim A: Information on how PARCC will assess major content
Sub-Claim B: Information on how PARCC will assess additional and supporting content
Sub-Claim C: Information on how PARCC will assess reasoning
Sub-Claim D: Information on how PARCC will assess modeling