Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Section 1.1 Building blocks of Geometry Day 2 8/25/2015 Objectives: • Learn the terminology and the notation of points, lines, segments, rays, plane, collinear and coplanar points. Assignment Class Work • Write the vocabulary and examples of section 1.1 . • Give examples for each concept. Homework Pages 33-34 # 2-12 all 18 , 21, and 27. Section 1.2-1.3 Angles and their Measures Day 4 8/27/2015 Objectives: • Definition of a angle. • Learn how to show the measure of an angle. • Become familiar with the symbols of marking angles and congruent angles • Defining angles Assignment Class Work • Go over homework questions. • Write new vocabulary. • Write examples for each new concept. Homework Go over the examples in you text book! Page 42-43 # 1-13 odd 18, 20, 34, 35, and36 . Section 1.2-1.3 Angles and their Measures Day 4 8/27/2015 Objectives: • Definition of a angle. • Learn how to show the measure of an angle. • Become familiar with the symbols of marking angles and congruent angles • Defining angles Assignment Class Work • Go over homework questions. • Go over midpoint formula and examples. Class work Finish the worksheet ! • Do not write on the worksheet !!!!! Midpoint Formula Example 1 Midpoint Formula Example 2 Example 3 Section 2.5 Angle Relationships Day 5 8/28/2015 Objectives: • Discover relationship between special pairs of angles. • Practicing performing investigations and writing conjectures Assignmnet Class Work Finish yesterday’s Class Work. • Write the conjectures and examples of section 2.5 Finish yesterday’s Class Work. Homework Page 124 # 1-5 all and 8. First Day of School Day 1 8/24/2015 Objectives: • Go over the classroom rules and regulations. • Go over the syllabus. • Discuss expectations and answer questions . Assignments Class Work Go over class rules and procedures ! Homework • Check the text book online • Read section 1.1. Section 2.5 Day 6 8/31/2015 Objectives: • Review the terminology and the notation of points, lines, segments, rays, plane, collinear and coplanar points. • Definition of a angle. • Show the measure of an angle. • Become familiar with the symbols of marking angles and congruent angles • Defining angles Assignmnet Class Work Go over the Warm-up Write conjectures about angles. Go over the homework questions. Homework Worksheet Warm-up • 1. Section 2.5-2.6 Angle Relationship Day 7 9/1/2015 Objectives: • Discover relationship between special pairs of angles. • Practicing performing investigations and writing conjectures Assignment Class Work Go over the warm-up Homework (Worksheet !) is due. • Write the conjectures and examples of section 2.6. Homework • Page 131 # 1-4 all, 6, 7*, 14, and 15. Section 2.5-2.6 Angle Relationship Day 8 9/2/2015 Objectives: • Discover relationship between special pairs of angles. • Practicing performing investigations and writing conjectures Assignment Class Work Go over the warm-up Finish section 2.6 conjectures. Go over the homework. Homework Finish the handout. Warm-up Warm-up Review and Test Sections 1.1-1.2 and 2.5-2.6 Day 9 9/3/2015 Objectives: • Review coordinate midpoint property. • Find the coordinates of the midpoint by using midpoint formula. • Discover relationship between special pairs of angles. • Practicing performing investigations and writing conjectures Assignment Class work Go over the warm-up. Go over homework. Class work /Homework Study for the quiz tomorrow!!! Warm-up • • • • • • • • Draw & label points A & B. Draw & label points C & D. Draw AB. Draw BC. Draw AC. Draw DA. Draw and label a pair of vertical angles Draw and label a linear pair of angles Review and Test Sections 1.1-1.2 and 2.5-2.6 Day 10 9/4/2015 Objectives: • Review coordinate midpoint property. • Find the coordinates of the midpoint by using midpoint formula. • Discover relationship between special pairs of angles. • Practicing performing investigations and writing conjectures Assignment Class work Go over the warm-up. Class work /Homework Finish the Worksheet Study for the quiz tomorrow!!! Section 3.1-3.2 Construction Perpendicular Bisectors. Duplicate segments and angles. Day 11 9/8/2015 Objectives: • Construct perpendicular bisectors and midpoints. • Make conjectures about perpendicular bisectors Assignment Class Work Go over the warm up. Write definitions of section 3.2 page 149. • Follow the steps of each video and complete each construction. Homework Page 147 # 1, and 5. Page 151 # 1, 2, 7, 8, . Warm-up Section 3.1-3.2 Construction Perpendicular Bisectors. Duplicate segments and angles. Day 13 9/10/2015 Objectives: • Construct perpendicular bisectors and midpoints. • Make conjectures about perpendicular bisectors • **Note : Day 12 9/9/2015 I was out sick!** Assignment Class Work Go over the quiz. Finish definitions of section 3.2 page 149. Homework • Duplicate a triangle. • Construct perpendicular bisector of every side. • Show process by making marks. Construction examples 1 • Construct a line segment with length the sum of the lengths of the given segments. Construction examples 2 • Construct an angle with measure the sum of the given angles. Review Sections 3.1-3.5 Day 14 9/11/2015 Objectives: • Construct perpendicular bisectors and midpoints. • Make conjectures about perpendicular bisectors • Constructing perpendiculars to a line. • Construct the altitudes of a triangle. • Constructing angle bisector. Assignment Class Work Go over the warm-up. Go over homework. Finish the worksheet “No homework this weekend ” Warm-up Section 3.3-3.4 Constructing perpendicular to a line and angle bisector . Day 15 9/15/2015 Objectives: • Constructing perpendiculars to a line. • Construct the altitudes of a triangle. • Constructing angle bisector. Assignment Class Work • Go over the warm-up. • Write vocabulary on page 151 and 156. • Construct perpendicular to a line and angle bisector. Homework: • Page 156 # 1 Page 160 # 15-all. Warm-up Section 3.3-3.4 Constructing perpendicular to a line and angle bisector . Day 16 9/16/2015 Objectives: • Constructing perpendiculars to a line. • Construct the altitudes of a triangle. • Constructing angle bisector. Assignment Class Work • Go over the warm-up. • Go over the homework. • Write conjectures of sections 3.3-3.4 . Homework: Worksheet Warm-up Review sections 3.2-3.5 Day 17 9/17/2015 Objectives: • Constructing perpendiculars to a line. • Construct the altitudes of a triangle. • Constructing angle bisector. Assignment Class Work • Go over the homework. • Review for the Chapter test. Homework: Review all constructions and vocabulary from this chapter. Chapter test Tomorrow! Chapter review Sketch and label each figure: • 1. Corresponding angles <1and <2 • 2. Vertical angles <AXY and < BXN • 3. Adjacent angles <AYZ and <ZYK • 4.Construct the median CM • 5. Construct the altitude AN • 6. Construct the midsegment KP Chapter 3 Test Day 18 9/18/2015 Objectives: • Constructing perpendiculars to a line. • Construct the altitudes of a triangle. • Constructing angle bisector. Assignment Class Work Chapter 3 Test Chapter 3 Test Day 19 9/21/2015 Objectives: • Constructing perpendiculars to a line. • Construct the altitudes of a triangle. • Constructing angle bisector. Assignment Class Work Go over Chapter 3 Test Finish the Review Worksheet Proofs in Geometry Day 20 9/22/2015 Objectives: The students will be able to build and use the following proofing strategies. • Narrative Proofs • Flow-chart Proofs • Two-column Proofs • Informal Proofs • Note : **No School tomorrow !** Assignment Class Work • Go over the warm-up. • Go over examples from the hand-out. Homework Worksheet Warm-up Proofs in Geometry Day 22 9/24/2015 Objectives: The students will be able to build and use the following proofing strategies. • Narrative Proofs • Flow-chart Proofs • Two-column Proofs • Informal Proofs • Note : Assignment Class Work • Go over the warm-up. • Go over examples from the hand-out. Homework Study the Worksheet Warm -up Section 7.1 Transformations and Symmetry. Day 21 9/24/2015 Objectives: • Learn about transformations . • Create and identify translations, rotation, and reflections of a figure in the plan. • Apply concepts of flectional, rotational, and translational symmetry. Assignment Class Work • Write the vocabulary, examples, and investigations of section 7.1 Page 368 . Homework Learn the vocabulary of section 7.1. Section 7.1 Transformations and Symmetry. Day 23 9/25/2015 Objectives: • Learn about transformations . • Create and identify translations, rotation, and reflections of a figure in the plan. • Apply concepts of flectional, rotational, and translational symmetry. Assignment Class Work Go over the warm-up Write all definitions of section 7.1 page 368-371. Homework Study the vocabulary Warm-up Section 7.1 Day 24 9/28/2015 Objectives: • Learn about transformations . • Create and identify translations, rotation, and reflections of a figure in the plan. • Apply concepts of flectional, rotational, and translational symmetry. Reflection Assignment Class Work Go over the warm-up. Go over transformation examples. Homework Worksheet Online last two slides. Section 7.1 Day 25 9/29/2015 Objectives: • Learn about transformations . • Create and identify translations, rotation, and reflections of a figure in the plan. • Apply concepts of flectional, rotational, and translational symmetry. Translation Assignment Class Work Go over transformation examples. Homework Online last two slides. Section 7.2 Day 26 9/30/2015 Objectives: • Learn about transformations . • Create and identify translations, rotation, and reflections of a figure in the plan. • Apply concepts of flectional, rotational, and translational symmetry. Rotation Assignment Class Work Go over the warm-up. Go over rotation examples. Homework Online last two slides. Section 7.1-7.2 Day 27 10/1/2015 Objectives: • Learn about transformations . • Create and identify translations, rotation, and reflections of a figure in the plan. • Apply concepts of flectional, rotational, and translational symmetry. Assignment Class Work Quiz Quiz Section 7.1 Transformations Review Day 28 10/2/2015 Objectives • Discover the result of reflecting a figure across two parallel lines. • Discover the result of reflecting across two intersecting lines . • Develop visual thinking. Assignment Class Work Go over the Warm-up • Finish the worksheet Warm –up Dilation and Composition of Transformation Day 29 10/5/2015 Objectives • Learn about non-Rigid transformations. • Learn vocabulary and definition. Learn • “This section is not in your text book!!” • Day 30 10/6/2015 • “Block Schedule !” Assignment Class Work Go over the warm-up Go over the definition and examples of dilation. Go over examples of composed transformations. Finish the worksheet and the assignment written on the board! 12-4 Compositions of Transformations Class Work PQR has vertices P(5, –2), Q(1, –4), and R(–3, 3). 9. Translate ∆PQR along the vector <–2, 1> and then reflect it across the x-axis. 10. Reflect ∆PQR across the line y = x and then rotate it 90° about the origin. 11. Reflect ∆PQR about the y-axis, translate 4 units down, and reflect about the x-axis. Holt Geometry Review Chapter 7 Day 31 10/7/2015 Objectives • Learn about non-Rigid transformations. • Learn vocabulary and definition. Learn about transformations . • Create and identify translations, rotation, and reflections of a figure in the plan. • Apply concepts of flectional, rotational, and translational symmetry. • • Discover the result of reflecting a figure across two parallel lines. Discover the result of reflecting across two intersecting lines . Develop visual thinking. • “This section is not in your text book!!” • Assignment Class Work Go over the warm-up. Finish the Worksheet EOC Practice . Warm-up Review Chapter 7 Day 32 10/8/2015 Objectives • Learn about non-Rigid transformations. • Learn vocabulary and definition. Learn about transformations . • Create and identify translations, rotation, and reflections of a figure in the plan. • Apply concepts of flectional, rotational, and translational symmetry. • • Discover the result of reflecting a figure across two parallel lines. Discover the result of reflecting across two intersecting lines . Develop visual thinking. • “This section is not in your text book!!” • Assignment Class Work Go over the warm-up. Finish the Worksheet . Note : I will be absent on 10/9/2015 Work in groups on the new hand out I will go over on Monday!!” Warm-up Review Chapter 7 Day 34 10/12/2015 Objectives • Learn about non-Rigid transformations. • Learn vocabulary and definition. Learn about transformations . • Create and identify translations, rotation, and reflections of a figure in the plan. • Apply concepts of flectional, rotational, and translational symmetry. • • Discover the result of reflecting a figure across two parallel lines. Discover the result of reflecting across two intersecting lines . Develop visual thinking. • “This section is not in your text book!!” • Assignment Class Work Go over the warm-up Go over questions from Thursday’s Worksheet . Review all transformations for the Test tomorrow. Warm-up Transformations Rules Review Write the rule for each of the following. Write the coordinates of the image without graphing . Use P(-1,3) 1. Reflection about x-axis 2. Reflection about y=x 3. Rotation 90 degrees counterclockwise 4. “90 degrees clockwise !!!” 5. 180 degrees counterclockwise and clockwise 6. Translations 3 units left 2 units up. 7. Reflection about y-axes 8. Dilation with scale factor -3 9. Translation 4 units right 10. Translation 7 units down 11. Dilation with scale factor 2 followed by a reflection about Y=X. 12. Translation 2 units down following a rotation 90 degrees counterclockwise . Transformations Rules Review Key Write the rule for each of the following. Write the coordinates of the image without graphing . Use P(-1,3) 1. Reflection about x-axis (x , y) (x,-y) (-1,-3) 2. Reflection about y=x (x , y)(y , x) (3,-1) 3. Rotation 90 degrees counterclockwise (x , y) (-y , x) (-3,-1) 4. “90 degrees clockwise !!!” (x , y)(y,-x) (3,1) 5. 180 degrees counterclockwise and clockwise (x , y)(-x,-y) (1,-3) 6. Translations 3 units left 2 units up. (x , y)(x-3,y+2) (-4,5) 7. Reflection about y-axes (x , y)(-x , y) (1,3) 8. Dilation with scale factor -3 (x , y)(-3x,-3y) (3,-9) 9. Translation 4 units right (x , y)(x+4,y) (3,3) 10. Translation 7 units down (x , y)(x,y-7) (-1,-4) 11. Dilation with scale factor 2 followed by a reflection about Y=X. (x , y)(2y,2x) (-2,6) 12.Translation 2 units down following a rotation 90 degrees counterclockwise . (x , y)(-y+2,x) (-1,-1) Review Chapter 7 Day 35 10/13/2015 Objectives • Learn about non-Rigid transformations. • Learn vocabulary and definition. • • • • • Learn about transformations . Create and identify translations, rotation, and reflections of a figure in the plan. Apply concepts of flectional, rotational, and translational symmetry. Discover the result of reflecting a figure across two parallel lines. Discover the result of reflecting across two intersecting lines . Develop visual thinking. Assignment Class Work Chapter 7 Test. Section 1.4 Day 36 (10/14/2015) Objectives: • Define and classify polygons and related terms. • Practice writing definitions. • Learn even more vocabulary. Polygons Assignment Class Work Go over the warm-up. Go over the vocabulary of section 1.4. Homework • Page 57 # 1-12 all 15,16 , 21,and 22. Warm up Identify each of the following. 1. points that lie in the same plane 2. Two angles whose sum is 180° 3. Two lines that never meet. 4. An angle that is less than 90 degree. Vocabulary 1. 2. 3. 4. 5. 6. 7. 8. 9. Polygon Diagonal Convex Concave Congruent polygons Perimeter Equilateral Polygon Equiangular Polygon Regular Polygon Vocabulary Day 33 1. Polygon • A polygon is a closed figure, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others. 2. Diagonal • Diagonal of a polygon is a line segment that connects two nonconsecutive vertices. 3. Convex Polygon • A polygon is convex if no diagonal is outside of the polygon . 4. Concave Polygon • A polygon is concave if at least one diagonal is outside of the polygon. 5. Congruent Polygons • If polygons are congruent, then corresponding sides and angles are congruent OR If corresponding sides and angles are congruent, then the polygons are congruent. 6. Perimeter The perimeter of a polygon is equal to the sum of the lengths of its sides. Vocabulary Continues….. 7. Equilateral Polygon • Equilateral polygons are polygons in which all sides have equal length. 8.Equiangular Polygons • Equiangular polygons are polygons in which all angles have equal measure. 9. Regular Polygons • Regular polygons are polygons that are both equilateral and equiangular. Section 1.5 Day 37 (10/15/2015) Objectives: • Define and classify triangles • Practice with definitions. Triangles Assignment Class work Go over the warm up • Go over the homework questions. • Write the vocabulary and examples of section 1.5. Homework Page 62 # 1-9 all, page 63 #1721 all. Day 37 Warm up Classify each angle as acute, obtuse, or right. • 1. 2. • 3. 4. If the perimeter is 47, find x and the lengths of the three sides. Vocabulary Right triangle • A right triangle has a right angle. Acute triangle • An acute triangle has three acute angles Obtuse triangle • An obtuse triangle has one obtuse angle. Scalene triangle • A scalene triangle is a triangle with no congruent sides. Equilateral triangle • An equilateral triangle has three congruent sides. Isosceles triangle. • An isosceles triangle has at least two congruent sides. Section 1.4 -1.5 Day 38 (10/16/2014) Objectives: • Define and classify polygons and related terms. • Practice writing definitions. • Learn even more vocabulary. Review Assignment Class Work Go over the warm-up Finish the worksheet. Warm up 1. Classify EHF by its side lengths. 2. Find the side lengths of equilateral FGH. Section 4.1-4.2 Triangle Sum Conjecture and Properties of Isosceles Triangles Day 39 10/19/2015 Objectives: • Discover the relationship between the base angles of an isosceles triangle. • Learn new vocabulary • Construct points of concurrency of the given triangle. Assignment Class Work • Go over the homework. • Go over the properties and examples of isosceles triangles. Homework Finish problems on page 203 # 2-5 all and 8. Page 208 # 1-9 all. Day 39 Warm up • For the given triangle sketch the altitude from <C and labeled CK . Sketch the median from <B and labeled BN • C A B Section 4.3 Triangle Inequalities Day 41 10/21/2015 Objectives: • Investigate the relation among sides and angles of a triangle. • Exterior Angle Conjecture. • Assignment Class Work • Go over the warm up Go over the conjectures. Page 218 # 1-9 all and # 14,15,16. Homework Study for the quiz tomorrow Sections 1.4,1.5, 4.1-4.3. Warm-up • 1. • 2. Section 4.1-4.3 Day 41 10/21/2015 Objectives: • Discover the relationship between the base angles of an isosceles triangle. • Learn new vocabulary • Construct points of concurrency of the given triangle. Review Assignment Class Work • Go over the warm up • Go over problems from the worksheet . Homework Finish the worksheet. Study for the quiz tomorrow Sections 1.4,1.5, 4.1-4.3. Warm up Day 41 Answers • Classify each triangle by its angles and sides. • 1. MNQ • 2. NQP obtuse; scalene • 3. MNP acute; scalene acute; equilateral Warm up • Classify each triangle by its angles and sides. • 1. MNQ • 2. NQP • 3. MNP Day 41 Section 4.1-4.3 Day 42 10/22/2015 Objectives: • Discover the relationship between the base angles of an isosceles triangle. • Learn new vocabulary • Construct points of concurrency of the given triangle. Review Assignment Class Work Quiz Additional Quiz Questions • 18.Form B only . 19. Form A and B. 20. Form A and B Sections 3.7-3.8 Points of Concurrency Day 42 10/23/2015 Objectives: • Review Points of concurrency definitions. • Explore the length relationship among the segments into which the centroid divides each median. Assignment Class Work Go over the quiz • Review the definition on points of concurrency. Write conjectures and examples. Homework Study and Finish the worksheet. Sections 3.7-3.8 Point of Concurrency Day 43 10/26/2015 Objectives: • Review Points of concurrency definitions. • Explore the length relationship among the segments into which the centroid divides each median. Assignment Class Work Go over the warm-up • Review the definition on pints of concurrency. Finish the worksheet. Homework Page 188 # 2,3, and 4. Sections 3.7-3.8 Point of Concurrency Day 44 10/27/2015 Objectives: • Review Points of concurrency definitions. • Explore the length relationship among the segments into which the centroid divides each median. Assignment Class Work Go over the warm-up • Review the definition on pints of concurrency. Finish the worksheet. Homework Study Friday's definitions Section 4.4 Are there Congruence Shortcuts. Day 45 10/28/2015 Objectives: • Explore shortcut methods of determining whether triangles are congruent. • Types of triangle congruency. Note : • This class was postponed to Monday 11/2/2015 due to the PSAT Testing Assignment Class Work • Go over the Warm-up. • Go over SSS and SAS conjecture. • Go over Examples. Homework Page 224 # 4-9 all 12, 13, 16. Sections 3.7-3.8 Point of Concurrency Quiz Day 46 10/29/2015 Objectives: • Review Points of concurrency definitions. • Explore the length relationship among the segments into which the centroid divides each median. Assignment Class Work • Quiz Section 4.4 Are there Congruence Shortcuts. Day 47 11/2/2015 Objectives: • Explore shortcut methods of determining whether triangles are congruent. • Types of triangle congruency. Assignment Class Work • Go over the Warm-up. • Go over SSS and SAS conjecture. • Go over Examples. Homework Page 224 # 4-9 all 12, 13, 16. Section 4.5 Congruence Shortcuts Day 48 11/3/2015 Objectives: • Explore shortcut methods of determining whether triangles are congruent. • Types of triangle congruency. Assignment Class Work • Go over the warm-up • Go over ASA, SAA, congruencies. • Start with the Homework Homework • Page 229 # 4-9 all. 10,12, 14, 16, 18. Review Section 4.4- 4.5 Congruence Shortcuts Day 49 11/4/2015 Objectives: • Explore shortcut methods of determining whether triangles are congruent. • Types of triangle congruency. Assignment Class Work • Go over the warm-up • Practice SSS, SAS, ASA, and SAA congruency shortcuts . Homework • Finish the worksheet . • Study for the quiz Tomorrow. Review Sections 4.3-4.4 Day 50 11/5/2015 Objectives: • Explore shortcut methods of determining whether triangles are congruent. • Types of triangle congruency. Assignment Class Work Go over homework questions. (15 min ) Quiz Section 4.6 Corresponding Parts of Congruent Triangles Day 51 11/6/2015 Objectives: Show that pairs of angles or pairs of sides by identifying related triangles and proving them congruent. Assignment Class Work Start working on page 233 #19 all and page 239 # 1,2 . Homework. Finish the class work. Section 4.6 Corresponding Parts of Congruent Triangles Day 52 11/9/2015 Objectives: Show that pairs of angles or pairs of sides by identifying related triangles and proving them congruent. Assignment Class Work Go over the warm-up Go over last weeks Quiz . Homework. Start working on page 233 #19 all and page 239 # 1,2 Section 4.6 Corresponding Parts of Congruent Triangles Day 53 11/10/2015 Objectives: Show that pairs of angles or pairs of sides by identifying related triangles and proving them congruent. Assignment Class Work Go over the warm-up Finish the Worksheet . Topic 2 Test Day 54 11/12/2015 Objectives: • Use transformations to solve problems . • Create and identify translations, rotation, and reflections of a figure in the plan. • Apply concepts of flectional, rotational, and translational symmetry. • Discover the relationship between the base angles of an isosceles triangle. Assignment Class Work Go over the warm-up Finish the Test Topic 3 Test Day 55 11/13/2015 Objectives: • Use transformations to solve problems . • Create and identify translations, rotation, and reflections of a figure in the plan. • Apply concepts of flectional, rotational, and translational symmetry. • Discover the relationship between the base angles of an isosceles triangle. Assignment Class Work Go over the warm-up Finish the Test Section 4.6 Corresponding Parts of Congruent Triangles Day 56 11/16/2015 Objectives: Show that pairs of angles or pairs of sides by identifying related triangles and proving them congruent. **Block schedule ** Day 58 11/18/2015 Assignment Class Work Go over the warm-up Go over examples on proving Flow charts and two-column proof. Finish the worksheet Section 4.8 Special Triangles Conjectures Day 57 11/17/2015 Objectives: • Use the properties of isosceles triangle to find the properties of equilateral triangles. • Develop logical and visual thinking skills. • **Block Schedule ** • Day 59 11/19/2015 Assignment Class Work Go over the Warm-up. Go over the conjectures and examples of section 4.8. Work on Problems Page 245 # 1-5all. Page 252 # 7, 8, 9, 12, 16, 17, 19, 21, and 23. Note: For each of the problems, except the flow charts, draw the figure . Study for the chapter test on Friday Section 4.6 Corresponding Parts of Congruent Triangles Day 59 11/20/2015 Objectives: Show that pairs of angles or pairs of sides by identifying related triangles and proving them congruent. Assignment Class Work Go over the warm-up Chapter 4 Test Section 5.1 Polygon Sum Conjecture Day 60 11/23/2015 Objectives: Discover the sum of the angle measures in a polygon. Practice construction skills. Develop reasoning. Assignment Class Work: Go over polygon Sum Conjecture and examples. Homework Page 259 # 2-7 all. Page 264 # 5-8 all. Section 5.1 Polygon Sum Conjecture Day 61 11/24/2015 Objectives: Discover the sum of the angle measures in a polygon. Practice construction skills. Develop reasoning. Assignment Class Work: Go over homework questions. Finish the worksheet . Section 11.1 Day 63 12/7/2015 Objectives: • Develop an intuitive concept of Similarity. • Define similar Polygons. • Use the definition of similar polygons to solve problems. Similar Polygons Assignment Class Work • Go over the warm-up. • Go over examples of similar polygons. Homework Page 586 # 7-14 ALL. Draw the image of the triangle with vertices P(–4, 4), Q(–2, –2), and R(4, 0) under a dilation with a scale factor of origin. The dilation of (x, y) is centered at the Example 4: Drawing Dilations in the Coordinate Plane Draw the image of the triangle with vertices P(–4, 4), Q(–2, –2), and R(4, 0) under a dilation with a scale factor of origin. The dilation of (x, y) is centered at the Example 4 Continued Graph the preimage and image. P R’ Q Q’ R P’ Section 11.2 Day 64 12/8/2015 Objectives: • Discover shortcut methods for determining similar triangles. • Practice using proportion to find the measures in similar figures. Similar Triangles Assignment Class Work • Go over the Warm-up. • Complete the conjectures of this section. Give examples for each conjecture. Homework Page 591 # 1-6 all. Section 9.1-9.2 The Theorem of Pythagoras Day 65 12/9/2015 Objectives: • Understand the Pythagorean Theorem. • Use the Pythagorean Theorem to solve problems. • Learn more vocabulary Assignment Class Work • Go over the Warm up. • Go over examples of the Pythagorean Theorem. Homework • Page 481 # 1-10 all and 486 # 1-6. Section 11.2 Day 66 12/10/2015 Objectives: • Discover shortcut methods for determining similar triangles. • Practice using proportion to find the measures in similar figures. Similar Triangles Assignment Class Work • Go over the Warm-up. • Complete the conjectures of this section. Give examples for each conjecture. Homework Worksheet Section 11.3 Indirect Measurements with Similar Triangles. Day 67 12/11/2015 Objectives: • Use similar triangles to solve applied problems. • Develop reading comprehensive and problem solving skills. Assignment Class Work Go over the warm-up. Go over the homework questions. Homework Page 599 # 1,2, 3, 5, and 7. Section 11.4 Corresponding Parts of Similar Triangles Day 68 12/14/2015 Objectives: • Discover the relationship between corresponding parts of similar triangles. • Explore the ration of the parts into which an angle bisector of a triangle divides the angle’s opposite side. Assignment Class Work Go over the warm-up. • Go over the conjectures and examples of section 11.4. Homework • Page 605 # 1-11 all. Section 11.7 Proportional Segments Between Parallel Lines Day 69 12/15/2015 Objectives: • Discover the relationship between the ratios of the parts into which parallel lines cut the sides of a triangle. • Extend the parallel/Proportionality Conjecture to include multiple parallel lines. Assignment Class Work Go over the warm-up. Go over the homework questions. • Go over examples. Homework Page 627 # 1-12 all. Chapter 11 Review Day 70 12/16/2015 Objectives: • Use similar triangles to solve applied problems. • Develop reading comprehensive and problem solving skills. • Discover the relationship between the ratios of the parts into which parallel lines cut the sides of a triangle. • Extend the parallel/Proportionality Conjecture to include multiple parallel lines. • Assignment Go over the Warm-up. Review for the quiz tomorrow. Class Work Page 634 # 5,6,7, and 18. Page 637 #1 . Chapter 11 Quiz Day 71 12/17/2015 Objectives: • Use similar triangles to solve applied problems. • Develop reading comprehensive and problem solving skills. • Discover the relationship between the ratios of the parts into which parallel lines cut the sides of a triangle. • Extend the parallel/Proportionality Conjecture to include multiple parallel lines. • Assignment Class Work Quiz Section 9.3 Two Special Right Triangles. Day 72 12/18/2015 Objectives: • Discovering relationships among the lengths of the sides and the hypotenuse of 45-45-90 triangle and 3060-90 triangle. • Develop problem solving skills. Assignment Class Work • Go over the warm up. • Go over examples of special right triangles. Homework • Finish the problems of the worksheet. Section 9.3 Two Special Right Triangles. Day 73 1/4/2016 Objectives: • Discovering relationships among the lengths of the sides and the hypotenuse of 45-45-90 triangle and 3060-90 triangle. • Develop problem solving skills. Assignment Class Work • Go over the warm up. • Go over examples of special right triangles. Homework • Finish the problems of the worksheet. Section 12.1 Trigonometric Ratios Day 74 1/5/2016 Objectives. Define the sine, cosine, and tangent ration. Understand the usefulness of trigonometry. Learn new vocabulary. Assignment Class Work Go over the warm -up. • Go over trigonometric vocabulary and examples. Homework Page 644 # 1-9 all, 10 ,14,15, and 17. Section 12.1 Trigonometric Ratios Day 75 1/6/2016 Objectives. Define the sine, cosine, and tangent ration. Understand the usefulness of trigonometry. Learn new vocabulary. Assignment Class Work Go over the warm -up. • Go over trigonometric vocabulary and examples. Homework Finish the worksheet Study for the topic Test Tomorrow!!!!!!!! Topic 4 Test Day 76 1/7/2016 • Use similar triangles to solve applied problems. • Develop reading comprehensive and problem solving skills. • Discover the relationship between the ratios of the parts into which parallel lines cut the sides of a triangle. • Extend the parallel/Proportionality Conjecture to include multiple parallel lines. • Assignment Class Work Topic 4 Test Section 12.1 Trigonometric Ratios Day 77 1/8/2016 Objectives. Define the sine, cosine, and tangent ration. Understand the usefulness of trigonometry. Learn new vocabulary. Assignment Class Work Go over the warm -up. • Go over trigonometric vocabulary and examples. Homework Finish the worksheet Section 9.3 Two Special Right Triangles. Day 78 1/11/2016 Objectives: • Discovering relationships among the lengths of the sides and the hypotenuse of 45-45-90 triangle and 3060-90 triangle. • Develop problem solving skills. Assignment Class Work • Go over the warm up. • Go over examples of special right triangles. Homework • Finish the problems of the worksheet. • Test on Trigonometry Tomorrow !!! Section 12.1 Trigonometric Ratios Day 79 1/12/2016 Objectives. Define the sine, cosine, and tangent ration. Understand the usefulness of trigonometry. Learn new vocabulary. Assignment Class Work Go over the Warm-up. Quiz Section 5.3 Kite and Trapezoid Properties. Day 80 1/13/2016 Objectives: • Discover the properties of kites and Trapezoids . • Learn more vocabulary Assignment Class Work • Go over the warm up • Complete the vocabulary of section 5.3. • Write conjectures. Homework Page 271 # 1-6 all. Section 5.4 Properties of Midsegments Day 81 1/14/2016 Objectives: • Define and discover properties of the midsegment in a triangle and trapezoid. • Practice constructions skills. Assignment Class Work • Go over the warm up • Write section 5.4 conjectures and examples. Homework Page 277 # 1-7 all. Section 5.3-5.4 Day 82 1/15/2016 Objectives: • Define and discover properties of the midsegment in a triangle and trapezoid. • Practice constructions skills. Review Assignment Class Work • Go over the warm up • Finish the worksheet. Section 5.5 Properties of a Parallelogram. Day 83 1/19/2016 Objectives: • Review the definition on a parallelogram. • Discover properties of the parallelogram. • Write conjectures this section. Assignment Class Work • Go over the warm up • Complete conjectures of section 5.5. • Start working on the homework Homework: Page 283 # 1-6 all, and 16. Section 5.6 Properties of Special Parallelograms. Day 84 1/20/2016 Objectives: • Discover the properties of Rhombus, Rectangle, and Square. • Write the conjectures of this section. Assignment Class Work Go over the warm up Go over the conjectures of this section. Start with the homework Homework Page 294 # 1-13 odd. Section 5.5-5.6 Review Day 85 1/21/2016 Objectives: • Discover the properties of Rhombus, Rectangle, and Square. • Write the conjectures of this section. Assignment Class Work Go over the warm up • Go over Homework questions. • Finish the Worksheet Section 5.6 Proving Quadrilateral Properties. Day 86 1/22/2016 Objectives: Use flowchart proofing to proof properties of different quadrilaterals. Review conjectures of sections 5.1-5.7. Assignment Class Work Go over the warm-up. Go over homework questions. Start working on the worksheet. (worksheet due on Tuesday ) Section 5.6 Proving Quadrilateral Properties using Coordinative System. Day 87 1/26/2016 Objectives: Use flowchart proofing to proof properties of different quadrilaterals. Review conjectures of sections 5.1-5.7. • Block schedule ! • Day 88 1/27/2016 Assignment Class Work Go over the warm-up. Go over homework questions. Go over examples. Start working on the worksheet. (Due in the end of the class) Homework Review all properties of quadrilaterals and all warm – up and homework questions for the Topic 5 on Thursday 1/28/2105 !!!!! Section 1.7 Day 91 (1/29/2016) Objectives: • Define a circle and related figures. • Identify parts of a circle. Circles Assignment Class Work 1. Go over the warm up 2. Defined the circle and parts of a circle. 3. Start working on the homework Homework: Page 72 # 2-9 all, 11, 23-26 all. 29, 30, 34. Vocabulary of section 1.7 1. Circle • A circle is a set of points equidistant from a fixed point called the center. 2. Chord • A chord is a line segment whose end points lie on the circle. 3. Diameter • A diameter is a chord that passes through the center. The diameter is the longest cord. 4. Tangent • A tangent is a line that intersects the circle only once. Vocabulary 1.7…. 5. Arc • An arc is made of two points on the circle and the continuous (unbroken) part of a circle between the two points. The two points are called the end points. 6. Semicircle • Is the arc of the circle whose endpoints are the end points of a diameter. • 7. Minor Arc • A minor arc is an arc that is smaller than a semicircle. 8. Major Arc • A major arc is a arc that is larger than the semicircle. • Central angle • A angle whose vertex is the center of a circle. Example 1. • Identify each term. Chords: Semicircle Tangent: Diameter: Radius: Minor arc: Major arc: Section 6.1 Day 92 2/1/2016 Objectives: Review basic properties of a circle and circle vocabulary. Discover properties of a tangent of a circle. Learn more vocabulary. Circle Assignment Class Work • Go over the warm up. • Complete the vocabulary of section 6.1 • Write one example for each conjecture. Homework Page 313 # 1-5 all. Section 6.1 Vocabulary and Conjectures. 1.Tangent Conjecture • A tangent to a circle is perpendicular to the radius to the point of tangency. Section 6.1 ……. 2. Tangent Segment Conjecture Tangent segments of a circle from a point outside of the circle are congruent. Section 6.1 Vocabulary 1.Tangent Circles are circles that are tangent to the same line. 2. Internally tangent circles 3. Externally tangent circles Section 6.1-6.2 Day 93 2/2/2016 Objectives: Review basic properties of a circle and circle vocabulary. Discover properties of a tangent of a circle. Learn more vocabulary. Circle Assignment Class Work • Go over the warm-up. • Complete the vocabulary of section 6.2. • Write one example for each conjecture. Homework Page 320 # 1-9 all. Section 6.2 Vocabulary and Conjectures • 1. Central angle A central angle has its vertex at the center of the circle. Section 6.2…… 1.Inscribed Angle A inscribed angle has its vertex on the circle and its sides are chords. Section 6.2… • 1. Chord Arc Conjecture If two chords are congruent, then the intercepted arcs are congruent. Section 6.2…… • 2. Perpendicular to a Chord Conjecture The perpendicular from the center of the circle to a chord is the bisector of the chord. Section 6.2……….. 3. Chord Distance to Center Conjecture • Two congruent chords in a circle are equidistant from the center of the circle. Section 6.2…. • 4. Perpendicular Bisector of a Chord Conjecture. The perpendicular bisector of a chord passes through the center of the circle. Section 6.1-6.2 Day 94 2/3 /2016 Objectives: Review basic properties of a circle and circle vocabulary. Discover properties of a tangent of a circle. Learn more vocabulary. Circle Assignment Class Work • Go over the warm up. • Go over questions from the worksheet. Class work /Homework • Finish the Worksheet Section 6.1-6.2 Day 95 1/4/2016 Objectives: Review basic properties of a circle and circle vocabulary. Discover properties of a tangent of a circle. Learn more vocabulary. Circle Assignment Class Work Quiz Section 6.1-6.2 Day 95 2/4/2016 Objectives: Review basic properties of a circle and circle vocabulary. Discover properties of a tangent of a circle. Learn more vocabulary. 2/5/2016 “Take Your Child to Work Day “ Circle Assignment Class Work Quiz Section 6.1-6.2 Day 97 2/8/2016 Objectives: Review basic properties of a circle and circle vocabulary. Discover properties of a tangent of a circle. Learn more vocabulary. Circle Assignment Class Work Go over the Warm-up Go over the quiz. Finish the worksheet. Sections 6.3 Day 98 2/9/2016 Objectives: • Discover the relationship between the inscribed angle of a circle and its intercepted arc. Arcs and Angles Assignment Class Work • Go over the warm up • Go over sections 6.1-6.2 worksheet questions. • Go over the conjectures and examples. Homework Page 327 # 1-12 all. Conjectures Section 6.3 1. Inscribed Angle Conjecture • The measure of an angle inscribed in a circle is half of the measure of the inscribed Arc. 6.3 Continues …… 3. Angles Inscribed a Semicircle Conjecture Angles inscribed in a semicircle are right angles. 6.3 Continues …… 4.Cyclic Quadrilateral Conjecture The opposite angles of a cyclic quadrilateral are supplementary. 6.3 Continues …… 5. Parallel Lines Intercepted Arc Conjecture • Parallel lines intercept congruent arcs on a circle. Sections 6.3 Day 99 2/10/2016 Objectives: • Discover the relationship between the inscribed angle of a circle and its intercepted arc. Arcs and Angles Assignment Class Work • Go over the warm up. • Go over the Quiz. Homework Finish the Worksheet Section 6.3-6.5 Quiz Day 100 2/11/2016 Objectives: • Calculate π, the ratio of the circumference of a circle to its diameter. • Discover the relationship between the inscribed angle of a circle and its intercepted arc. Assignment Class Work Quiz Section 6.5 The Circumference/ Diameter Ratio Day 101 2/12/2016 Objectives: • Calculate π, the ratio of the circumference of a circle to its diameter. Assignment Class Work Homework is due. Go over the warm-up. Go over the conjectures of section 6.5. Homework Page 337 # 1-10 all. Section 6.7 Day 103 2/17/2016 Objectives: Discover the Arc Length formula. Apply the Arc Length formula. Arc Length Assignment Class Work • Go over the warm -ups. • Go over the examples and arc length conjecture. Homework • Page 351 # 1-9 all. Conjecture of section 6.7 Arc Length Conjecture • The length of an arc equals the measure of the arc divided by 360 times the circumference. Section 6.7 Day 104 2/18/2016 Objectives: Discover the Arc Length formula. Apply the Arc Length formula. Arc Length Assignment Class Work • Go over the warm -ups. • Go over the examples and arc length conjecture. Homework Worksheet Section 6.1 Day 105 2/19/2016 Objectives: Review basic properties of a circle and circle vocabulary. Discover properties of a tangent of a circle. Learn more vocabulary. Circle Assignment Class Work • Go over the warm up. • Check the homework . • 30 Min Quiz. Section 6.7 Day 106 2/22/2016 Objectives: Discover the circle’s formula. Apply the circle formula to graph and solve word problems . Equation of the Circle Assignment Class Work • Go over the warm -ups. • Derive the equation of the circle and use it to solve problems . Homework Finish the worksheet problems. Equation of the Circle Section 6.7 Day 107 2/23/2016 Objectives: Use transformations to proof the all circles are similar. Find the rule that transforms one circle to another. Equation of the Circle Assignment Class Work • Go over the warm -up. • Go over the examples on transformations of Circles Homework Finish the worksheet Section 6.7 Day 107 2/24/2016 Objectives: Discover the circle’s formula. Apply the circle formula to graph and solve word problems Use transformations to proof the all circles are similar. Find the rule that transforms one circle to another. Equation of the Circle Assignment Class Work • Go over the warm -up. • Finish the Worksheet . Study for the quiz tomorrow ! Section 6.7 Day 108 2/25/2016 Objectives: Discover the circle’s formula. Apply the circle formula to graph and solve word problems Use transformations to proof the all circles are similar. Find the rule that transforms one circle to another. Equation of the Circle Assignment Class Work QUIZ Section 6.8 Secants and Chords Conjectures Day 109 2/26/2016 Objectives: Discover Conjectures involving chords and secants of e circle. Use the conjectures to solve problems. Assignment Class Work • Go over the warm -up. • Go over conjectures and examples on Secants and chords. Homework Study the class examples. Section 6.7 Day 110 2/29/2016 Objectives: Discover the circle’s formula. Apply the circle formula to graph and solve word problems Use transformations to proof the all circles are similar. Find the rule that transforms one circle to another. Equation of the Circle Assignment Class Work Go over the warm-up Go over examples of transformations. Homework Review the examples we did in class. Section 6.8 Secants and Chords Conjectures Day 111 3/1/2016 Objectives: Discover Conjectures involving chords and secants of e circle. Use the conjectures to solve problems. Assignment Class Work • Go over the warm -up. • Go over conjectures and examples on Secants and chords. Homework Study the class examples. Chapter 6 Test Day 112 3/2/2016 Objectives: • Discover the relationship between the inscribed angle of a circle and its intercepted arc. • Calculate π, the ratio of the circumference of a circle to its diameter. Assignment Class Work • Go over warm-up. • Review by practicing problems on page • Chapter Test tomorrow !!!!! • Extra Credit • 359 # 5-15 Chapter 6 Test Day 113 3/3/2016 Objectives: • Discover the relationship between the inscribed angle of a circle and its intercepted arc. • Calculate π, the ratio of the circumference of a circle to its diameter. Assignment Class Work Chapter Test Section 8.1 Area of Rectangles and Parallelograms Day 114 3/4/2016 Objectives: Develop the concept of the area. Derive formulas for the area of the rectangle and parallelogram. Assignment Class Work • Go over the warm up • Go over area of the rectangle and parallelogram investigations. Homework Page 425 # 1-9 all. Section 8.2 Areas of Triangles, Trapezoids, and Kites Day 115 3/7 /2016 Objectives: • Derive formulas for the area of a triangle, trapezoid, and Kite. • Apply area formulas t solve problems. Assignment Class Work Go over the warm-up. Derive the formulas for the are of triangle, trapezoid, and Kite. Write the conjectures and give examples. Homework Page 430 # 1-11 all. Section 8.3 Day 116 3/8/2016 Objectives: • Use the area of the rectangle, parallelogram, trapezoid, and kite formulas to solve word problems. Area Problems Assignment Class Work • Go over the warm-up. • Go over the homework questions. • Work on problems page 435 # 1, 2, 4,5. Section 8.4 Area of a Regular Polygon Day 118 3/11/2016 Objectives: • Derive the area of a regular polygon formula. • Use the area of a regular polygon formula to solve problems. Assignment Class Work Go over the Warm-up. Go over examples on area of a polygon . Homework Page 443 # 1-7 all. Inscribing and Circumscribing Polygons on a circle Day 117 3/9/2016 Objectives: • Review all conjectures on circles. • Work on constructions of inscribed and Circumscribed polygons . Assignment Class Work Go over the Warm-up. Go over the topic 6 review . Homework Finish the Constructions given on the handout. Topic 6 Test Tomorrow !!! Section 8.4 Area of a Regular Polygon Day 118 3/11/2016 Objectives: • Derive the area of a regular polygon formula. • Use the area of a regular polygon formula to solve problems. Assignment Class Work Go over the Warm-up. Go over examples on area of a polygon . Homework Page 443 # 1-7 all. Section 8.4 Area of a Regular Polygon Day 119 3/14/2016 Objectives: • Derive the area of a regular polygon formula. • Use the area of a regular polygon formula to solve problems. Assignment Class Work FSA Practice page 3 # 1-5 . Go over the homework . Finish the worksheet. Area of a Regular Polygon Day 120 3/15/2016 Objectives: • Derive the area of a regular polygon formula. • Use the area of a regular polygon formula to solve problems. Assignment Class Work Quiz Section 8.5-8.6 Any Way You Slice It Day 121 3/16/2016 Objectives: • Find the area of a circle. • Discover the formula and the method to calculate the area of a sector, annulus, and segment of a circle. • Learn new vocabulary. Assignment Class Work FSA Practice page 5 and 6 # 1-5 • Go over lesson and examples of area of a circle . Homework Page 451 # 1-9, 12,and 13 . Section 8.5-8.6 Any Way You Slice It Day 122 3/17/2016 Objectives: • Find the area of a circle. • Discover the formula and the method to calculate the area of a sector, annulus, and segment of a circle. • Learn new vocabulary Assignment Class Work FSA Practice page 7 # 6 and 7 . • Go over lesson and examples of area of a circle and area of sector annulus, and segment of a circle. Homework Page 455 # 1-12 . Section 8.7 Day 123 3/18/2016 Objectives: Review Terminology of solids. Discover methods of finding the area of solids. Practice visual thinking in three dimension. Develop problem-solving skills. Surface Area Assignment Class Work FSA Practice page 8 # 1-4 • Go over the homework questions. • Finish the worksheet. • Spring break Assignment • FSA Practice pages 27-31. Section 8.7 Day 124 3/28/2016 Objectives: Review Terminology of solids. Discover methods of finding the area of solids. Practice visual thinking in three dimension. Develop problem-solving skills. Surface Area Assignment Class Work FSA Practice page 9# 5 • Go over the Spring Break Assignment. • Go over solids and surface area. • Finish the worksheet. Section 8.7 Day 125 3/29/2016 Objectives: Review Terminology of solids. Discover methods of finding the area of solids. Practice visual thinking in three dimension. Develop problem-solving skills. Surface Area Assignment Class Work FSA Practice page finish yesterday ‘s problems . Go over solids and surface area problems . Homework Finish the worksheet. Section 10.2 Day 126 Volume of Prisms and Cylinders 3/30/2016 Objectives: • Discover the formulas for finding the volume of Prisms and Cylinders. • Practice three dimensional visual thinking. • Develop problems solving skills. Assignment Class Work • Go over the warm up • Go over examples illustrating the volume of a Prism of a Cylinder. Finish the conjectures. Homework Worksheet Study FSA Practice problems you have a Quiz Tomorrow !!! Section 8.5-8.6 Day 127 3/31/2016 Objectives: • Find the area of a circle. • Discover the formula and the method to calculate the area of a sector, annulus, and segment of a circle. • Learn new vocabulary Assignment Class Work Quiz Section 10. 3 Volume of Pyramids and Cones. Day 128 4/1/2016 Objectives: • Discover the formulas for the volume of the pyramids and cones. • Practice three dimensional thinking skills. • Develop problem-solving skills. Assignment Class Work • Go Wednesday's Homework • Go over examples.. Homework • Hand- out