Determine perimeter and area of triangles. Use proportional reasoning to solve practical problems involving similar triangles. Define trigonometric ratios and use them to solve real-life applications. Coordinate Geometry and Vectors Benchmark Students derive and apply formulas using coordinate geometry. Vectors and operations on vectors are used as a tool for exploring geometric concepts.
Indicators Informally derive and apply formulas for slope, midpoint, and distance.
Find distance and midpoints in three space. Compare the slopes of lines with their relative positions in a coordinate plane, including parallel, perpendicular, horizontal, and vertical. Express the addition and scalar multiplication of vectors both graphically and algebraically. Represent vectors as matrices and determine resultants by matrix addition. V. Quadrilaterals Benchmark Students investigate properties and relationships of quadrilaterals using symmetry, congruence, and transformations.