Geometry ~ Chapter 1 Capacity Matrix

Transcription

1 Geometry ~ Chapter 1 Capacity Matrix Learning Targets 1. Drawing and labeling the Geometry Vocabulary 2. Using the distance and midpoint formula 3. Classifying triangles and polygons Section Required Assignments Additional Resources 1-1 Points, Lines and Planes (Formative) 1-2 Linear Measure and Precision (Formative) 1-3 Distance and Midpoints (Formative) 1-4 Angle Measure (Formative) Chapter 1 Triple Entry Journal OR Flashcards for listed words # s 13, 15, 17, 19, 21, 23, 24, 31, 33, 35, 39, 41, 43, 45 (14 questions pgs 9-10) # s 13, 15, 17, 19, 23, 25, 29, 31, 35, 37, 39, (14 questions pgs 17-18) Quiz 1-1 to 1-2 (Summative) You MUST know: Point, line, collinear, plane, coplanar (need to be able to label and draw these items. Undefined terms Draw and label a line segment understand precision when measuring. # s 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 43 (15 questions pg 25-26) # s 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 (13 questions pg 34) Quiz 1-3 to 1-4 (Summative) # s 2-12 evens pg 9 # s 1-9 pg 754 # s2-10 evens pg 16 # s 1-12 pg 754 # s 2-12 evens pg 25 # s 1-24 pg 754 # s 2-10 evens pg 33 # s 1-14 pg 755 You MUST know: How to find the distance (distance formula) and midpoint (midpoint formula) on a number line OR on a coordinate plane Segment bisector, degree, ray, how to label AND draw an angle, sides of an angle, vertex of an angle, angle bisector Classify angles (right, acute, obtuse?) Decide whether two angles are EQUAL to each other OR add up to a particular degree. 1-5 # s 11, 13, 15, 17, 19, 21, 23, 25, 27, 28, 29, 31, 33 # s 2-10 evens pg 41

2 Angle Relationships (Formative) 1-6 Polygons (Formative) REVIEW (Formative) (13 questions pg 42) # s 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33 (11 questions pgs 49-50) Quiz 1-5 to 1-6 (Summative) You MUST know: How to label AND draw adjacent angles, vertical angles, a linear pair, complementary angles, supplementary angles, perpendicular lines. When you are writing equations..are the angles EQUAL to each other OR do they add up to a particular degree? Polygon vs NOT a polygon Convex vs concave, polygon names, regular polygon, perimeter (distance formula) Study Guide and Review pg # s 1-10 vocabulary # s7-12 labeling and drawing points, lines, planes.. # s precision measuring and line segments with the sum of its parts. # s distance and midpoint formulas # s acute, right, obtuse angle classifying and angle bisectors # s adjacent angles, vertical angles, complementary angles, linear pair # s polygon, perimeters, concave, convex Chapter 1 Project (Summative) Chapter 1 TEST (Summative) # s 1-9 pg 755 # s 2-10 evens pg 48 # s 1-6 pg 755 Chapter 1 Practice Test # s 1-25 pg 57

3 Geometry ~ Chapter 1 Learning Targets 1. Drawing and labeling the Geometry Vocabulary 2. Using the distance and midpoint formula 3. Classifying triangles and polygons Chapter 1 Triple Entry Journal Word Definition Picture OR Example acute angle adjacent angles angle bisector complementary angles concave congruent convex linear pair

4 midpoint perimeter perpendicular polygon regular polygon right angle segment bisector supplementary angles vertex vertical angles

5 Section 1-1 Points, Lines and Planes Vocabulary point, line, collinear, plane, coplanar, undefined terms, space Look Like Named or Labeled POINT LINE PLANE COLLINEAR COPLANAR What are three Undefined terms?

6 Section 1-1 Points, Lines and Planes (continued.) Using some geometric vocabulary. 1) Name the Plane. 2) Name a Line. 3) Name a point on Plane Q. 4) Name 3 points that are collinear. 5) Name 3 points that are coplanar. Draw and label a figure for each relationship. 1) plane R contains and, which intersect at point P. Add point C on plane R so that it is not collinear or. 2) on a coordinate plane contains Q(-2, 4) and R(4, -4). Add point T so that T is collinear with these points.

7 Section 1-2 Linear Measure and Precision Vocabulary line segment, precision, betweenness of points, between, congruent, constructions 1) Using the ruler below, what does EACH tiny tick mark represent? 2) Using the ruler below, draw a line that is 4 ¾ inches. 3) What would the precision expectation be for the above example? Find the precision for each measurement. 1) 32 ¾ inches 2) 15 millimeters

8 Section 1-2 Linear Measure and Precision (continued..) Draw a picture and answer the questions. 1a) M is between L and N. is 2.6 cm. is 4 cm. 1b) Find LM. 2a) T is between U and S. is 5x-3 and is 7x and is 45. 2b) Find x. 2c) Find ST.

9 Section 1-3 Distance and Midpoints Vocabulary distance, midpoint, segment bisector Distance and midpoint on a number line 1) Label the 4 dots A, B, C, D. 2) How do you find distance on a number line? 3) Find AD. 4) How do you find the midpoint on a number line? 5) Find the midpoint of CD.

10 Section 1-3 Distance and Midpoints (continued.) Distance and midpoint on a coordinate grid 1) What is the distance formula for points on a coordinate plane? 2) Find the Distance between the two dots using Pythagorean Theorem. 3) Find the distance between the two dots using the Distance Formula. 4) What is the midpoint formula when using a coordinate plane? 5) Find the midpoint of the two dots.

11 Section 1-3 Distance and Midpoints (continued.) Draw the scenario and solve the problem. 1) What is the measure of if Q is the midpoint of and = 14x + 2 and = 6 3x and = 45.

12 Section 1-4 Angle Measure Vocabulary How many degrees in a circle? What is a degree? degree, ray, opposite rays, angle, sides, vertex, interior, exterior, right angle, acute angle, obtuse angle, angle bisector What is a ray? What do two opposite rays make? Draw an angle and label it <ABC. Label the vertex of the above angle. What are the sides of the above angle? Draw an acute <DEF and label the interior and the exterior.

13 Section 1-4 Angle Measure (continued.) Using the figure to the right: 1) Name an acute angle. 2) Name an obtuse angle. 3) Name a right angle. 4) Name a pair of congruent angles.

14 Section 1-4 Angle Measure (continued.) Using the figure to the right: If QS bisects <PQR, find the measure of each angle.

15 Section 1-5 Angle Relationships Vocabulary adjacent angles, vertical angles, linear pair, complementary angles, supplementary angles, perpendicular lines, Using the diagram to the right, answer the following questions. 1) What are adjacent angles? Name a pair of adjacent angles. 2) What are vertical angles? Name a pair of vertical angles. 3) What is a linear pair? Name two angles that make a linear pair. 4) What are complementary angles? Name a pair of them. 5) What are supplementary angles? Name a pair of them. 6) What are perpendicular lines? Name two lines that are perpendicular.

16 Section 1-5 Angle Relationships (continued..) Example: Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the measure of the other angle. Example: Find x so that.

17 Section 1-6 Polygons Vocabulary What are some characteristics that polygons can and can NOT have? polygon, concave, convex, n-gon, regular polygon, perimeter What is the difference between convex and concave? Fill in the chart. Number of sides n Polygon Name

18 Section 1-6 Polygons (continued.) Polygon REVIEW Concave or convex? The width of a rectangle is 5 less than twice its length. The perimeter is 80 centimeters. Find the length of each side.

19 Section 1-6 Polygons (continued.) Finding PERIMETER! Find the perimeter. Find the perimeter of pentagon ABCDE with A(0, 4), B(4, 0), C(3, -4), D(-3, -4), and E(-3, 1).

20 Geometry Chapter 1 Study Guide Learning Targets 1. Drawing and labeling the Geometry Vocabulary 2. Using the distance and midpoint formula 3. Classifying triangles and polygons Section 1-1 Points, Lines, and Planes Need to know how to draw and label: Point Line Plane Collinear Coplanar Undefined terms Section 1-2 Linear Measure and Precision How do you measure with a ruler with a certain precision? How do you decide on the certain precision? What does congruent mean? Know how to set up a point in between two others and know whether to set the parts equal to each other OR add the parts up to the whole. Section 1-3 Distance and Midpoints Distance Formula (Number line)? Distance Formula (Coordinate grid)? Midpoint Formula (Number line)? Midpoint Formula (Coordinate grid)? Pythagorean Theorem (What does it do?)? Section 1-4 Angle Measure How do you make an angle with a protractor? How do you label an angle? What are the sides and vertex of an angle? How do you classify angles? (right, acute or obtuse) What are congruent angles? Section 1-5 Angle Relationships What are adjacent angles? What are vertical angles?

21 What is a linear pair? What are complementary angles? What are supplementary angles? What are perpendicular lines? Section 1-6 Polygons What is a polygon? What is the difference between convex and concave? What are the names of polygons with the number of sides from 3 to 10? How do you find the perimeter of a polygon?

22 Name (1 st and last): Date: Year of Graduation: What You Need: Geometry Chapter 1 Project Vocabulary Scavenger Hunt 1 camera per person or internet access, chrome books Chapter 1 Vocabulary List Acute angle convex n-gon regular polygon Adjacent angles coplanar obtuse angle relative error Angle degree opposite rays right angle Angle bisector exterior perimeter segment bisector Between interior perpendicular sides Betweenness of points line plane space Collinear line segment point supplementary angles Complementary angles linear pair polygon undefined terms Concave locus precision vertex Congruent midpoint ray vertical angles Construction What You Do: 1. Sit down with the list of geometric terms and make sure that you understand each one. If a term needs clarification, there are many online math dictionaries that can provide definitions and pictures. 2. Take your cameras on an outing OR go searching online. Each person will look for real-world examples of geometry, and take a picture (or copy and paste a picture) that captures each term. For example, a traffic pylon could represent a cone, a tall building a prism, or a railroad tracks parallel lines. 3. Prepare a report with each picture you found or took, the word you are trying to demonstrate and a description as to why you believe that the picture you chose represented the given word. 4. You will receive 3 points for EACH word that you successfully find a real-world example of correctly and describe it properly as well online OR you can receive 4 points for EACH word that you physically took a picture of around here or a real-world example correctly and describe it properly as well. You cannot mix and match online pictures with your own taken pictures. It is one OR the other. 5. Create a document or powerpoint that shows the work, picture and description and then share it with me when you are done.