Integrated 2 Chapter 12

Checkpoint Review: Students master different skills at different speeds. No two students learn exactly the same way at the same time. At some point you will be expected to perform certain skills accurately. Most of the Checkpoint problems incorporate skills previously developed. Each chapter has a different skill that should be mastered.

You e-book has a checkpoint resource (you must have the e-book open to access the link and click on CP 12)

Previous Content

• Master Checkpoint 12: Circles, Arcs, Sectors, Chords, and Tangents, as in problems 12-9, 12-22, 12-39(a and b), 12-50, 12-83, 12-108, 12-114, 12-135, and CL 12-151.
• Calculate the total surface area or volume of a sphere, as in problems 11-80, 12-11, 12‑51, 12-71, and CL 12-153.

Current Content

• Count the number of arrangements using a decision chart, as in problems 12-7, 12-8, 12‑20, 12-48, 12-49(d), 12‑58, 12-87, 12-102, CL 12‑148(a), and CL 12‑149(c and d).
• Count the number of arrangements for situations which can be put into one of these categories:
  • Permutations (order matters with no repetition), as in problems 12-21, 12‑35(a), 12-49(a), 12-87, and CL 12-149(a).
  • Arrangements in which there are duplicates of some of the elements, as in problems 12-66, 12-79, 12-110, and CL 12-148(b).
  • Combinations (order does not matter with no repetition), as in problems 12-35(b and c), 12-47, 12-49(c), 12-78, 12-103, 12-131, 12-139, CL 12‑147, and CL 12‑149(b).
• Calculate probabilities using a decision chart, combinations, or permutations, as in problems 12-7, 12-20, 12-78, 12-102, 12-103, 12-131, and CL 12-147.
• Counting the number of outcomes when order does not matter with repetition allowed, as in some of the classwork problems of Lesson 12.1.4.