Unit+5

**SECONDARY 2** **(UNIT 5)**
 * ** __Topic__ ** || Days || What it is || Core |||| Text book || Text book ||
 * Cluster 2 || 4 Day 1 || * **Prove vertical angles are congruent**
 * **Prove transversal crosses parallel lines, AIA, AEA, CA are congruent and CIA are supplementary**
 * **Perpendicular bisector of a line segment is exactly equidistant from the segment’s endpoint.** || * G.CO.9 ||||  ||   ||
 * [[file:cluster 2.1.docx]] || Day 2 ||^  ||^   ||||^   ||^   ||
 * [[file:Cluster 2.2.docx]] ||  || * **Triangle sum theorem**
 * **Bases angles of Isosceles triangles are congruent** || * G.CO.10 ||||  ||   ||
 * ** 2.3 ** || Day 3 || * **Prove congruent triangles, SAS, SSS, ASA, AAS** || * G.SRT.5 ||||  ||   ||
 * **2.4** || Day 4 || * **Parallelogram properties**
 * **1.** **Opposite sides are congruent**
 * **2.** **Opposite angles are congruent**
 * **3.** **Diagonals bisect each other**
 * **4.** **Rectangles are //-grams with congruent diagonals.** || * G.CO.11 ||||  ||   ||
 * **Cluster 1** || 2 || * **Similar Triangles using corresponding angles are congruent and corresponding sides are proportional** || * G.SRT.2 ||||  ||   ||
 * **1.1** ||  ||^   ||^   ||||^   ||^   ||
 * **1.2** ||  || * **Use properties to prove AA for similarity**
 * **Midsegment of a triangle is parallel to the third side.** || * G.SRT.3 ||  ||||   ||
 * **1.3** ||  || * **Medians of a triangle meet at a point.**
 * **A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.**
 * **The dilation of a line segment is longer or shorter in the ratio given by the scale factor.**
 * G.SRT.1 ||  ||   ||||   ||
 * **Cluster 3** || 2 || * **Prove a line parallel to one side of a triangle divides the other two proportionally.**
 * **Prove Pythagorean theorem by using similar triangles** || * G.SRT.4 ||  ||||   ||
 * **3.1** ||  ||^   ||^   ||^   ||||^   ||
 * **Cluster 4** || 1 || * **Find the point on a line segment between two given points that partitions the segment in a given ratio** || * G.GPE.6 ||  ||||   ||
 * **4.1** ||  ||^   ||^   ||^   ||||^   ||
 * **Cluster 5** || 3 || * **Define the trig functions as their ratios for acute angles. (right triangle trig)** || * G.SRT.6 ||  ||||   ||
 * **5.1** ||  ||^   ||^   ||^   ||||^   ||
 * **5.2** ||  || * **Explain and use the relationship between the sine and cosine of complementary angles.**
 * G.SRT.7 ||  ||   ||||   ||
 * **5.3** ||  || * **Use trig ratios and Pythagorean theorem to solve __applications__ problems.**
 * G.SRT.8 ||  ||   ||||   ||
 * ** Cluster 6 ** || 1 || * **Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use it to find sin (θ), cos(θ), or tan(θ), given sin(θ), cos(θ), or tan(θ), and the quadrant of the angle.** || * F.TF.8 ||  ||||   ||
 * ** 6.1 ** ||  ||^   ||^   ||^   ||||^   ||
 * ** 6.1 ** ||  ||^   ||^   ||^   ||||^   ||