Integrated 1 Chapter 7

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 CP7 to practice these skills. You may also wish to look back at Chapter 4 Resources.

Review topics expected to be mastered by the end of Chapter 7

• Master Checkpoint 7: Interpreting associations, as in problems 7‑40, 7‑62, 7‑83, 7‑111, and CL 7‑117.
• Solving systems of equations by the Elimination Method, in which one or both equations need to be multiplied by a constant, as in problems 7‑27(d), 7‑50(a), and CL 7‑120.
• Solving systems of equations where a solution method is not necessarily obvious, as in problems 7‑27(b), 7‑60, and CL 7‑120(d).
• Identify systems with infinite solutions, as in problems 7‑11(b), 7‑81, and CL 7‑119.
• Identify systems with no solutions, as in problems 7‑21, 7‑38(a), 7‑92, and CL 7‑118.
• Write equations from a distance = rate × time situation, as in problems 7‑30, 7‑64, and CL 7‑121.

Chapter 7 concepts and problems for practice

• Given shapes identified as similar, use ratios of corresponding sides (scale factor) to calculate lengths of missing sides, as in problems 7‑8, 7‑19, 7‑37, 7‑41, and CL 7‑115.
• Using a congruence conjecture (SSS ≅, ASA ≅, AAS ≅, HL ≅ and SAS ≅), and/or a sequence of rigid transformations, identify pairs of triangles as congruent, and write a congruence statement, as in problems 7‑6, 7‑20, 7-25, 7‑46, CL 7‑112 and CL 7‑113.
• Use flowcharts to organize arguments about triangle congruence, as in problems 7‑36, 7‑59, 7‑68, 7‑91, 7‑107, and CL 7‑116.
• Analyze a shape on a coordinate grid, and use information about the length and slope of sides, to verify and justify the identity of the shape, as in problems 7‑87, 7‑100, and 7‑109.
• Find the midpoint of segment on a coordinate grid, as in problems 7‑80(b), 7‑88, and 7‑106.
• Find the area and perimeter of polygons with non-horizontal or vertical sides on a coordinate grid, as in problems 7‑94(d) and 7‑97(b).