http://math.pmhclients.com/index.php/site/index/ en jeff@shosholoza.org Copyright 2010 2010-03-09T14:27:00-08:00 http://math.pmhclients.com/index.php/site/math_6_class_123/ http://math.pmhclients.com/index.php/site/math_6_class_123/#When:14:27:00Z Lesson Title Investigation 4: Polygon Properties and Tiling Overview In today’s class students continue to work toward determining how to predict if a regular polygon with a given number of sides will tile. Textbook Sections Problem 4.3 (Txt. p.46) Back to Bees! Vocabulary tiling regular polygon polygon pentagon hexagon octagon angle ruler precisely vertex Key Attitudes Willingness to work as a group to help meet individual and group goals. Enduring Understandings Change is fundamental to understanding functions. Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral). Essential Question Why do we compare contrast and classify objects? How do decomposing and recomposing shapes help us build our understand of mathematics? Key Knowledge An angle can be measured with an angle ruler. Key Skills I can find the sum of the interior angles of any covnex polygon. I can justify the sum of the interior angles of a polygon by using previously agreed on facts. I can use what I have learned about the sum of the interior angles of a polygon to develop a method for finding the sum of the interior angles of a polygonal star. I can draw a regular 9-gon Turn-In (#-1) Draw a regular 10-gon inscribed in a circle with radius of 8 cm. Handouts No Handouts Posted Assignment Will It Tile Worksheet- Front Side Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word. 2010-03-09T14:27:00-08:00 http://math.pmhclients.com/index.php/site/math_7_class_123/ http://math.pmhclients.com/index.php/site/math_7_class_123/#When:14:27:00Z Lesson Title Investigation 3: Patterns of Similar Figures Overview In today’s class students extend the work started yesterday on determining if two shapes are similar by visual inspection. Using rulers they measure the lengths of the sides of the pairs of figures they previously identified as being similar, and then calculate the scale factors. Textbook Sections Problem 3.1 (Txt. p.28) Identifying Similar Figures Vocabulary similar corresponding sides corresponding angles segment ratio perimeter Key Attitudes Willingness to work as a group to help meet individual and group goals. Enduring Understandings Change is fundamental to understanding functions. Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral). Essential Question How can transformations be described mathematically? How do different shapes compare to each other? What is required for two shapes to be similar? Key Knowledge Certain properties of a shape are maintained when a shape is enlarged or reduced. Key Skills I can visually determine if two shapes are similar. Turn-In (#-1) Rework missed quiz problems. Come in ready with questions. ACE p.22 #7 Handouts No Handouts Posted Assignment ACE p.33 #1-4 Quiz Corrections Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word. 2010-03-09T14:27:00-08:00 http://math.pmhclients.com/index.php/site/math_7_class_122/ http://math.pmhclients.com/index.php/site/math_7_class_122/#When:15:35:00Z Lesson Title Investigation 3: Patterns of Similar Figures Overview In today’s class students develop some mathematical means for determining if two shapes are, or are not, similar. Textbook Sections Problem 3.1 (Txt. p.28) Identifying Similar Figures Vocabulary similar corresponding sides corresponding angles segment ratio perimeter Key Attitudes Willingness to work as a group to help meet individual and group goals. Enduring Understandings Change is fundamental to understanding functions. Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral). Essential Question How can transformations be described mathematically? How do different shapes compare to each other? What is required for two shapes to be similar? Key Knowledge Certain properties of a shape are maintained when a shape is enlarged or reduced. Key Skills I can visually determine if two shapes are similar. Turn-In (#-1) No Homework Handouts No Handouts Posted Assignment Rework missed quiz problems. Come in ready with questions. ACE p.22 #7 Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word. 2010-03-08T15:35:00-08:00 http://math.pmhclients.com/index.php/site/algebra_2_class_61/ http://math.pmhclients.com/index.php/site/algebra_2_class_61/#When:15:35:00Z Lesson Title 3.1.6: What’s the connection? Overview In today’s class students continue to develop their fluency in moving from one representation of an exponential relationship to another. As time permits students will use their knowledge of linear equation to help develop algebraic strategies for finding linear and exponential functions. They will also learn more about working with roots and exponents. Textbook Sections 3.1.6 (Txt. p.138) What’s the connection? Vocabulary interest simple interest compound interest Key Attitudes Willingness to work as a group to help meet individual and group goals. Enduring Understandings Change is fundamental to understanding functions. Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral). Essential Question How does it grow? How is the rate written as a percent? As a decimal? How is it the same or different? How can I find an equation for an exponential situation? Key Knowledge Exponential growth is caused by a constant multiplication. Key Skills I can find an equation for an exponential function when given a graph, a table, or a situation. Turn-In (#-1) 3-78 to 3-80 Handouts No Handouts Posted Assignment 3-81 to 3-83 Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word. 2010-03-08T15:35:00-08:00 http://math.pmhclients.com/index.php/site/math_6_class_122/ http://math.pmhclients.com/index.php/site/math_6_class_122/#When:15:34:00Z Lesson Title Investigation 4: Polygon Properties and Tiling Overview In the last class students investigated how they could predict whether or not a regular polygon could be used to create a tiling. They decided that it would be good to collect more data, in particular they wanted to see if a regular 9-gon would tile. Hence students began creating regular 9-gons. In today’s class students will use their 9-gons and continue to investigate the requirements that are necessary for a regular polygon to tile. Textbook Sections Problem 4.3 (Txt. p.46) Back to Bees! Vocabulary tiling regular polygon polygon pentagon hexagon octagon angle ruler precisely vertex Key Attitudes Willingness to work as a group to help meet individual and group goals. Enduring Understandings Change is fundamental to understanding functions. Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral). Essential Question Why do we compare contrast and classify objects? How do decomposing and recomposing shapes help us build our understand of mathematics? Key Knowledge An angle can be measured with an angle ruler. Key Skills I can find the sum of the interior angles of any covnex polygon. I can justify the sum of the interior angles of a polygon by using previously agreed on facts. I can use what I have learned about the sum of the interior angles of a polygon to develop a method for finding the sum of the interior angles of a polygonal star. I can draw a regular 9-gon Turn-In (#-1) No Homeork Handouts No Handouts Posted Assignment Draw a regular 10-gon inscribed in a circle with radius of 8 cm. Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word. 2010-03-08T15:34:00-08:00 http://math.pmhclients.com/index.php/site/algebra_2_class_60/ http://math.pmhclients.com/index.php/site/algebra_2_class_60/#When:12:28:00Z Lesson Title 3.1.6: What’s the connection? Overview In today’s class students continue to develop their fluency in moving from one representation of an exponential relationship to another. In addition, they write a quiz focusing on our work over the last two weeks. Textbook Sections 3.1.6 (Txt. p.138) What’s the connection? Vocabulary interest simple interest compound interest Key Attitudes Willingness to work as a group to help meet individual and group goals. Enduring Understandings Change is fundamental to understanding functions. Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral). Essential Question How does it grow? How is the rate written as a percent? As a decimal? How is it the same or different? How can I find an equation for an exponential situation? Key Knowledge Exponential growth is caused by a constant multiplication. Key Skills I can find an equation for an exponential function when given a graph, a table, or a situation. Turn-In (#-1) 3-67 to 3-71 Handouts No Handouts Posted Assignment 3-78 to 3-80 Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word. 2010-03-05T12:28:00-08:00 http://math.pmhclients.com/index.php/site/math_6_class_121/ http://math.pmhclients.com/index.php/site/math_6_class_121/#When:12:27:01Z Lesson Title Investigation 4: Polygon Properties and Tiling Overview In today’s class students continue their investigation regarding the mathematical properties which may contribute to the fact that all bees create honeycombs using regular hexagons. Textbook Sections Problem 4.3 (Txt. p.46) Back to Bees! Vocabulary tiling regular polygon polygon pentagon hexagon octagon angle ruler precisely vertex Key Attitudes Willingness to work as a group to help meet individual and group goals. Enduring Understandings Change is fundamental to understanding functions. Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral). Essential Question Why do we compare contrast and classify objects? How do decomposing and recomposing shapes help us build our understand of mathematics? Key Knowledge An angle can be measured with an angle ruler. Key Skills I can find the sum of the interior angles of any covnex polygon. I can justify the sum of the interior angles of a polygon by using previously agreed on facts. I can use what I have learned about the sum of the interior angles of a polygon to develop a method for finding the sum of the interior angles of a polygonal star. Turn-In (#-1) “Interior Angles” worksheet Handouts No Handouts Posted Assignment No Homeork Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word. 2010-03-05T12:27:01-08:00 http://math.pmhclients.com/index.php/site/math_7_class_121/ http://math.pmhclients.com/index.php/site/math_7_class_121/#When:12:27:00Z Lesson Title Investigation 3: Patterns of Similar Figures Overview In today’s class students finish up their work with Wump Hats and examining rules for transforming shapes based on the coordinates of points. In addition students write a short quiz covering this weeks material. Textbook Sections Problem 2.3 (Txt. p.21) Maing Wump Hats Vocabulary similar corresponding sides corresponding angles segment ratio perimeter Key Attitudes Willingness to work as a group to help meet individual and group goals. Enduring Understandings Change is fundamental to understanding functions. Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral). Essential Question How can transformations be described mathematically? How do different shapes compare to each other? What is required for two shapes to be similar? Key Knowledge Certain properties of a shape are maintained when a shape is enlarged or reduced. Key Skills I can visually determine if two shapes are similar. Turn-In (#-1) ACE p.22 #5, 6 Handouts No Handouts Posted Assignment No Homework Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word. 2010-03-05T12:27:00-08:00 http://math.pmhclients.com/index.php/site/hl_class_60/ http://math.pmhclients.com/index.php/site/hl_class_60/#When:15:39:00Z Announcements Related Rates Quiz Th. Lesson Title Mock Exam Paper 1 Overview Textbook Sections Vocabulary function independent variable dependent variable with respect to rate of change limit derivative explicit equation implicit equation Key Attitudes Willingness to work as a group to help meet individual and group goals. Enduring Understandings Change is fundamental to understanding functions. Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral). Essential Question Why do we compare contrast and classify objects? How can transformations be described mathematically? Key Knowledge An angle can be measured with an angle ruler. Certain properties of a shape are maintained when a shape is enlarged or reduced. Key Skills I can find the sum of the interior angles of any covnex polygon. I can use the concept of odds or of probability to solve problems. Turn-In (#-1) PS 21 IA Handouts No Handouts Posted Assignment Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word. 2010-03-04T15:39:00-08:00 http://math.pmhclients.com/index.php/site/math_6_class_120/ http://math.pmhclients.com/index.php/site/math_6_class_120/#When:15:38:00Z Lesson Title N/A Overview Today JSR students work with AISR students to teach them a math magic tric. Textbook Sections N/A Vocabulary tiling regular polygon polygon pentagon hexagon octagon angle ruler precisely vertex Key Attitudes Willingness to work as a group to help meet individual and group goals. Enduring Understandings Change is fundamental to understanding functions. Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral). Essential Question Why do we compare contrast and classify objects? How do decomposing and recomposing shapes help us build our understand of mathematics? Key Knowledge An angle can be measured with an angle ruler. Key Skills I can find the sum of the interior angles of any covnex polygon. I can justify the sum of the interior angles of a polygon by using previously agreed on facts. I can use what I have learned about the sum of the interior angles of a polygon to develop a method for finding the sum of the interior angles of a polygonal star. Turn-In (#-1) “Interior Angles” worksheet Handouts No Handouts Posted Assignment No Homework Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word. 2010-03-04T15:38:00-08:00