Alg+1+-+Unit+3


 * ===**Common Core Standard(s)**===


 * //G.CO.1//**. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

//**G-GPE.6**//. Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

//**G-GPE.7.**// Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.★


 * //G-GPE.4//** Use coordinates to prove simple geometric theorems algebraically. //For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).// || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍===

**Mathematical Practice(s)**

 * 1. Make sense of problems and perseveres in solving them.**
 * 2. Reason abstractly and quantitatively.**
 * 3. Construct viable arguments and critique the reasoning of others.**
 * 4. Model with mathematics**
 * 5. Use appropriately tools strategically**
 * 6. Attend to precision**
 * 7. Look for and make use of structure**
 * 8. Look for and express regularity in repeated reasoning.** ||
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**Information Technology Standard:**

 * HS.TT.1.3 Use technology for an appropriate task** || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍===

**Revised Bloom's Level of thinking**
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 * Remembering**
 * Understanding**
 * Applying**
 * Analyzing**
 * Evaluating**
 * Creating(See instructional resources tab)** ||

**Learning Target/Task Analysis**

 * Linking prior knowledge: Students should be familiar with volume from prior grades and from Units 1 and 2 of High School Math 1. They also should be familiar with the coordinate plane and know how to plot points as well as understand the concept of the "mean".**

**I can...**

 * G.CO.1 I know the precise definitions of points, angles, and points on a line.**
 * G-GPE.6** **I can use the midpoint formula to determine the middle of a line segment.**
 * I can use the midpoint formula to divide the segment into a given ratio.**
 * I can use the midpoint formula to determine the endpoint of a line segment when the midpoint and other endpoint are given.**
 * G.GPE.7** **I can use the distance formula to determine the perimeters of polygons.**
 * I can use the distance formula to determine the areas of triangles and rectangles.**
 * G.GPE.4 I can use the midpoint and distance formula to make predictions about geometric shapes including, rectangles, triangles and circles.**

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**Essential Vocabulary**

 * directed line segment(ray), given ratio, midpoint(all words that mean midpoint: middle, center, halfway, midway), x coordinate, y coordinate, origin, mean of the x coordinates, mean of the y coordinates, perimeter, distance(all words that mean distance: how long, how far, length), coordinate plane(coordinate grid, coordinate system), ordered pair, exact definitions of(point, circle, angle)**

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**Sample Assessments**

 * Mini cumulative quizzes focused on student needs**
 * Thumbs up/thumbs down/thumbs sides ways formative assessment**
 * Exit tickets**
 * Mini projects**
 * Weekly cumulative tests**

**Enrichment:**
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**Notes and Additional Information:**

 * It is imperative that students must be able to plot point on a coordinate plane. It is also imperative that students must know essential vocabulary to accurately solve problems.**