Answer Key — HSG.C.B.5

For parents and tutors

Do not share with students before practice tests.

Practice Problems — Sets 1–10

| Set | Guidance | | --- | --- | | Set 1 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 2 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 3 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 4 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 5 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 6 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 7 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 8 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 9 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 10 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. |

Practice Problems — Sets 11–20

| Set | Guidance | | --- | --- | | Set 11 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 12 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 13 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 14 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 15 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 16 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 17 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 18 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 19 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. | | Set 20 | Derive using similarity the fact that the length of the arc intercept… — verify written work and accept reasonable drawings. |

Review tiers 1–10

Checklists are parent-judged.
Written items: verify against practice set patterns.
Standard text: Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

Practice test scoring

| Tier | Pass guidance | | --- | --- | | 1–3 | Most oral tasks smooth; majority of written correct | | 4–6 | 7/10+ total with clear understanding | | 7–8 | 9/12+ with explanations | | 9–10 | Near-perfect; ready to move on |

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