Unit+6

6.1.2**(G.C.2)** 6.1.2 6.1.2  6.1.2  6.1.2  6.1.2  6.1.3 **(G. C. 3)** || 6.3.1 6.3.2**(G.GPE.2)** ||
 * ** Topic ** ||  Days  ||  What it is  ||  Core  ||
 * **Cluster 1 ****(4 Days) ** || ===(Day 1- 4)=== || **Understand and apply theorems about Circles **
 * Prove all circles are similar
 * Explain the **difference** between a **central angle, inscribed** angle and **circumscribed** angle
 * Explain the **relationship** between and **inscribed angle** and the **diameter**
 * Explain the **relationship** between a line **tangent** to a circle and the **radius** to the point of tangency
 * Identify and describe relationships among **angles, radii, and chords**
 * **Construct ** **the inscribed** and **circumscribed** circles of a triangle
 * **Prove ** properties of angles for a **quadrilateral inscribed** in **a circle**
 * **Construct ** a **tangent line** from a **point outside** a given circle to **the circle** || 6.1.1 **(G.C. 1**)
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Cluster 2 ** (2 Days) || ===Day 1-2=== || **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Find arc lengths and areas of sectors of circles **
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Derive using similarity **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;"> the fact that the **length of the arc** intercepted by a central angle is **proportional** to the **radius**
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Explain **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;"> the **radian measure** of the **central angle** is the **constant** of **proportionality**
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Derive area of a sector **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;"> formula
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Find **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;"> **arc lengths** and **area of sectors** of circles || <span style="font-family: 'Times New Roman','serif'; font-size: 19px;">6.2.1**(G.C.5)** ||
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Cluster 3 ** (2 Days) || ===Day 1-2=== || **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Translate between the geometric description and the equation for a conic section **
 * <span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Use **Pythagorean Theorem** to derive **equation of a circle**
 * <span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Find **center** and **radius** of a circle, by **completing the square**
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Derive **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;"> **equation** of **a parabola** with a vertical axis given the focus and directrix || <span style="font-family: 'Times New Roman','serif'; font-size: 19px;">6.3.1**(G.GPE.1)**
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Cluster 4 (1 Day) ** || ===**Day 1**=== || **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Use coordinates to prove simple geometric theorems algebraically **
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Prove **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;"> a figure defined by **four given points** in the coordinate place is a **rectang**le
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Prove **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">or **disprove** that a **given point** lies on a **given circle** || <span style="font-family: 'Times New Roman','serif'; font-size: 19px;">6.4.1

<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">(G.GPE.4)
|| <span style="font-family: 'Times New Roman','serif'; font-size: 19px;">6.5.1
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Cluster 5 ** (3-4 Days) || ===Day 1-4=== || **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Explain the volume formulas and use them to solve problems **
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Explain formulas **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;"> for the **circumference** of a circle, **area** of a circle, and **volume** of a **cylinder, pyramid**, and **cone**
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Explain **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">the **relationship** between the **areas** and **volumes** of **similar figures using transformations**
 * **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">Solve **<span style="font-family: 'Times New Roman','serif'; font-size: 19px;"> problems using the **volume formulas** for **cylinder, pyramids, cones** and **spheres** || ==<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">6.5.1(G.GMD.1) ==

<span style="font-family: 'Times New Roman','serif'; font-size: 19px;">6.5.2(G.GMD.3)
||