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Lesson Plans for Nathan Prange, 010 - Birdville High School Week of Monday, October 20, 2014 Monday, October 20, 2014 Day 53 Tuesday, October 21, 2014 Day 54 Wednesday, October 22, 2014 Day 55 Thursday, October 23, 2014 Day 56 Friday, October 24, 2014 Day 57 Monday, October 20, 2014 Day 53 Tuesday, October 21, 2014 Day 54 Wednesday, October 22, 2014 Day 55 Thursday, October 23, 2014 Day 56 Friday, October 24, 2014 Day 57 Geometry Geometry Geometry Geometry Geometry The student is expected to... » derive and use formulas involving length, slope, and midpoint.[Geo.7C] » use one- and two-dimensional coordinate systems to represent points, lines, rays, line segments, and figures; [Geo.7A] » use deductive reasoning to prove a statement.[Geo.3E] » make conjectures about angles, lines, polygons, circles, and three-dimensional figures and determine the validity of the conjectures, choosing from a variety of approaches such as coordinate, transformational, or axiomatic.[Geo.2B] The student is expected to... » derive and use formulas involving length, slope, and midpoint.[Geo.7C] » use one- and two-dimensional coordinate systems to represent points, lines, rays, line segments, and figures; [Geo.7A] » use deductive reasoning to prove a statement.[Geo.3E] Student Tasks: Notes/Reflections: The student is expected to... » use one- and two-dimensional coordinate systems to represent points, Procedures: lines, rays, line segments, and figures; Lines in a coordinate plane and equations [Geo.7A] of lines (Point-Slope and Slope-Intercept » derive and use formulas involving Form) length, slope, and midpoint.[Geo.7C] The student is expected to... » use one- and two-dimensional coordinate systems to represent points, lines, rays, line segments, and figures; [Geo.7A] » derive and use formulas involving length, slope, and midpoint.[Geo.7C] Student Tasks: The objective of the day is to review slope and the creation of linear equations. Procedures: Start the lesson by asking the students to write as much stuff down as they can with Linear Golf a partner about how to graph lines and Student Tasks: The students will be taking the Unit 4 how to write their equations. Test. The test will cover the following This activity allows for students to practice objectives: writing linear equations in slope intercept Lesson Procedures: 1. Quick Review on the concept of slope form. On a coordinate plane, a point at -Find the slope of two points (-2,2) represents a golf hole. Golf balls -What are other terminologies used for are placed at multiple positions on the Unit 4 Review 1. Knowledge of the algebraic properties slope? coordinate plane. The objective is for the - Arithmetic Properties 2. Given two points solve for the slope students to take the coordinates of a golf -Simplifying and then plug the information into the ball, the coordinate of the hole, and write The students will spend time reviewing for -Substitution point slope form the equation of the line that is created their Unit 4 Test. This test will assess -Symmetric - What does each piece of the point slope when the ball and hole are connected. their knowledge on the following formula represent? objectives: - Why do we leave x and y as variables 2. Application of algebraic properties into and not substitute any values in for them? By doing this activity, the students are a proof that show the steps in solving an 3. Convert Point Slope Form into Slope having to find the following: 1. Knowledge of the algebraic properties algebraic equation. Intercept Form 1. Slope of a line by being given two - Arithmetic Properties - Distribution of the slope and then points -Simplifying subtraction/addition of y1 2. An equation in Point Slope Form -Substitution 3. Knowledge of specific Geometric - What do each pieces of the slope 3. Transitioning an equation from Point -Symmetric Theorems intercept form represent? Slope Form to Slope Intercept Form - Vertical Angles - Can I avoid using the point slope form - Supplementary and Complementary and go straight to the slope intercept 2. Application of algebraic properties into Angles form? This is an individual activity that the a proof that show the steps in solving an - Triangle Sum Theorem 4. Horizontal and Vertical Lines students will be able to check their algebraic equation. - Polygon Angle Sum Theorem - Slopes of each answers with one another. If needed, - Equations of each teacher intervention or peer tutoring will be offered. 3. Knowledge of specific Geometric 4. Application of Geometric Theorems into 5. Practice Problems Theorems a proof that show the steps in solving for - Given two points on a line, write an - Vertical Angles missing angle measures or variables. equation for the line in point slope and Accommodations/Modifications/Extension - Supplementary and Complementary slope intercept form s: Angles - Given a point and the slope, write and - Triangle Sum Theorem 5. Ability to find the coordinates of the equation for the line in point slope and - Polygon Angle Sum Theorem midpoint of a line segment. slope intercept form - Given a slope and a y-intercept, write Notes/Reflections: and equation for the line in point slope 4. Application of Geometric Theorems into 6. Ability to find a missing endpoint given and slope intercept form a proof that show the steps in solving for the midpoint and endpoint of a line - Given a slope and an x-intercept, write missing angle measures or variables. segment. and equation for the line in point slope and slope intercept form - Given an x-intercept and a 5. Ability to find the coordinates of the 7. Ability to solve for the length of a line y-intercept, write and equation for the line midpoint of a line segment. segment given the coordinates of its in point slope and slope intercept form endpoints. Lesson Procedures: Assessing knowledge of linear equations: Lesson Procedures: The students will take a formative assessment today that will assess their knowledge of linear equations. The objectives are as follows: 1. Writing equations for a set of parallel/perpendicular lines 2. Identifying which equations would create parallel or perpendicular lines 3. Writing equations of lines that are vertical/horizontal 4. Given two points on a graph, writing an equation in slope intercept form that describes the line that the two points create.5. Implementing a word problem that combines knowledge of linear equations with that learned previous of distance formula. Accommodations/Modifications/Extension s: Notes/Reflections: Monday, October 20, 2014 Day 53 midpoint of a line segment. Tuesday, October 21, 2014 Day 54 Wednesday, October 22, 2014 Day 55 segment given the coordinates of its endpoints. in point slope and slope intercept form 6. Ability to find a missing endpoint given the midpoint and endpoint of a line segment. 7. Ability to solve for the length of a line segment given the coordinates of its endpoints. Accommodations/Modifications/Extension s: Accommodations/Modifications/Extension s: Notes/Reflections: Notes/Reflections: The students will look at their assessments and review information that they got incorrect and study the vocabulary terms used on the quizzes. The students that are eligible to retake the quizzes because of completion of their homework will be granted this opportunity during class time. Accommodations/Modifications/Extension s: Notes/Reflections: Thursday, October 23, 2014 Day 56 Friday, October 24, 2014 Day 57