Integrated 2 Chapter 3

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 3

Previous Concepts

• From Chapter 2, continue to use flowcharts and sequences of transformations to prove similarity and congruence, as in problems 3-10, 3-33, 3-58, 3-74(d), 3-95, 3-115, and CL 3‑121.
• Multiply polynomials with or without a given area model, as in problems 3-21, 3-44, 3-56(a) and (b), 3-75, 3-96, and CL 3-129. This is preparation for Chapter 4.
• Master Checkpoint 3: Angle Relationships in Geometric Figures, as in problems 3-7, 3‑45, 3-63, 3-86, 3-109, CL 3-127, and CL 3-128.

Current Chapter 3 Material

• Use area and tree models to represent the sample space for situations of chance, and use that model to calculate probability, as in problems 3-19, 3-30, 3-32, 3-59, 3-66, CL 3‑119, and CL 3-120. The events in an area model must be independent; otherwise the area model is not valid.
• Determine sample spaces and probabilities for the unions, intersections, and complements of events, and use the Addition Rule, as in problems 3-41, 3-55, 3-73, and CL 3-126.
• Calculate expected value, as in problems 3-61, 3-84, 3-108, and CL 3-122.
• Begin to apply the tangent ratio to everyday situations in this chapter, as in problems 3-111 and 3-113
• In right triangles where one leg and an angle are given, use either a calculator or the Trig Table Graphic Organizer to determine missing side lengths using the tangent ratio, as in problems 3-83, 3-105, and CL 3-125.