EDG 4940 – Math Unit Part 1: Instructional Plan Classroom Description Student’s Demographics The classes that Mrs. Byrd has ranges from 7th grade to 9th grade with one 11th grade student retaking Algebra 1 Honors. Almost all of the students that Mrs. Byrd has are Caucasian except for three students. One male student is Asian, one male is Hispanic, and one male is African American. First period is Algebra 1 Honors and contains 7 boys and 13 girls. Third period is also Algebra 1 Honors and contains 11 girls and 10 boys. Fifth period is Algebra 1 with 13 boys and 10 girls. Sixth period is Algebra 1 with 7 boys and 17 girls. Seventh period is Algebra 1 Honors with 10 boys and 9 girls. Student’s Characteristics The students in this classroom range from 11 year olds to 16 year olds. There is one student that has a hearing disability and another that is being tested for the same problems. To assist these students Mrs. Byrd has been given a microphone to project her voice throughout the class. These special accommodations have only come through the students being tested and which in turn grants the school the right to have the microphone in the classroom. A student in her first period class is considered mildly autistic and has problem writing the notes on his own. He has trouble writing and understanding the notes so Mrs. Byrd copies the notes for this student. He must first attempt to follow the notes given during class before he is handed a copy. The student also has problems completing a test that contain difficult words or word problems without the assistance of the teacher. Students Learning Preferences A majority of the students prefer to learn using a visual method. During class Mrs. Byrd or myself will go through a lesson with the students and then using a document projector will work through problems throughout the lesson. The students will be asked periodically be asked to come to the front of the class to perform the problems demonstrating they understand the material. Students also receive some group assignments where they must pair up with other students to perform the task. Student’s skill Levels The skill levels vary throughout all of the classes. In the Algebra 1 Honors classes the grade levels are mixed so 7th grade students are working alongside 9th grade students. The younger students are coming into the class from either Pre-Algebra classes or basic math classes. Whereas the older students have all completed Pre-Algebra and have a better understanding of the concepts that go along with class. The honors classes are all bright students that are most of the time willing to learn the new material. The Algebra 1 classes only consist of 9th graders. Some of the students are repeating Algebra 1 because of previous performance while others have just completed Pre-Algebra. A majority of these students are bright and willing to learn with a few students that need a little pushing Quality of Home, School, Community Setting The students in these classes come from middle class working America. Most of the students have households where the parents care about their childs success. The school setting is driven towards success and the teachers will go out of their way to help students. Most teachers are available at anytime by phone, email, or some other type of communication. Mrs. Byrd for instance comes to school 30-45 minutes before and after school to help students. The community is driven by sports like most communities in this area. But it is a small town atmosphere with everybody knowing everybody and willing to help. Quality of learning environment (math-rich environment) Considering this is a math class the environment contains predominately math. Mrs. Byrd makes sure to cover the material in the lesson and the students are given ample time to ask questions pertaining to the lesson. The curriculum in all of Mrs. Byrd's classes are geared towards Algebra in one way or another. Specific student learning outcomes for unit that align with national and state standards 1.Given 20 equations, students will be able to solve, graph, and justify inequalities with 80% accuracy. MA.912.A.3.4: Solve and graph simple and compound inequalities in one variable and be able to justify each step in a solution. 2.Given 3 real life applications, students will be able to create and solve multistep inequalities with 75% accuracy. MA.912.A.3.5: Symbolically represent and solve multi-step and realworld applications that involve linear equations and inequalities. Assessment Plan Screening Pretest: Students will be given a quiz review that covers the sections in this unit which covers linear inequalities. The pretest will be 15 multiple choice questions that contain simple and compound equalities along with real-world applications. Progress Monitoring Students will be assessed on a daily basis by the class/homework given. After the students complete the assignments we will go over them as a class to see if any student has a question. Each student will receive a grade on their assignment based on the overall completion and if the answers are correct. Outcome Based Assessment Post-test: Students will be given the quiz that corresponds to the linear inequalities sections. The quiz will be 20 questions where the students must solve and graph simple and compound inequalities in one variable and be able to justify each step in a solution. The quiz will be very similar to the pretest except for the questions being more difficult. Instructional Plan Addresses all 5 areas of reading: phonemic awareness, phonics, vocabulary, fluency, comprehension. OR Skill based unit (dependent on topic) addresses concept building, mechanics, and knowledge application; (real-world problems, dependent on topic, etc.) Day 1 Students will learn how to solve one-step linear inequalities. Solving a linear inequality in one variable is much like solving a linear equation in one variable. The students will be shown that to solve the inequality, you isolate the variable on one side. The students will also be shown how to graph inequalities using a number line. For example if x>2 there will be an open dot on two and the line will be all numbers after two. If the inequality would have be >= there would have been a closed dot. The students will learn that if you divide be a negative number the inequality will flip. For example if you have -2x<36 and then divide by -2 the inequality will flip to show x>-18. Students will then be given an assignment in the book to complete and check the next day. The assignment will consist of the even problems in this section. Day 2 Students will learn how to solve multi-step linear inequalities. This section is almost exactly like the previous section but to solve for the inequality there are more than one step. As a class we will cover multiple examples going over the steps that will help solve the inequalities. For example, -6+5x<19 the first step would be to add 6 to both sides and then divide by 5 and the answer will be x<5. The assignment for the day will be to complete most of the even problems from their book after we have done multiple examples of the odd problems. If they do not complete the assignment they must do it for homework which we will check the next day. Day 3 Students will learn how to solve compound inequalities. A compound inequality consists of two inequalities connected by <,>,<=, or >=. The goal of a compound inequality is to again isolate the variable. For example, -2<3x-8<10, to solve this equation you must first add 8 to -2 and 10 and then divide both numbers by 3. The answer will be 2 Differentiated Instruction: List specific activities, strategies or techniques used to provide instruction for diverse students, including ESOL students. Please list this information here even if you wrote it into the plans above. In one of the Algebra 1 classes there is a young lady that is from the Ukraine. I must make sure that this student fully understands what I am saying and comprehends all of the material. Considering that English is her second language I sometimes have to take a little extra time with her to make sure that she fully understands the section that we have covered on that particular day. Part 2: Unit Analysis Analyze the effectiveness of your instruction using the Pre/Post test. Explain the results of your graph. What conclusions can you reach about your students and your teaching? My unit plan was on linear inequalities and the students caught onto this concept pretty quick. I began by teaching the three sections about Linear Inequalitites and then I gave the students a period to complete the pretest. The next day I gave the students test notes about the exact same material and told them they were to complete the posttest the next day. After the posttest I was very happy with the results. The students made good progress and almost all of the grades improved. I believe the students can relate to my teaching and can therefore do the material. Record the results on a chart or table. 5th Period Algebra Chapter 6 Linear Inequalities Name Pre-Test Post-Test Percent Increase Alex 24 55 31% Charity 67 83 16% Robert 73 77 4% Ben C. 70 87 17% Kyle 94 96 2% Gavin 74 80 6% Chloe 82 79 -3% Jack 84 90 6% Eric 65 53 -12% Avery 83 86 3% Ben M. 36 40 4% Lucas 48 51 3% Lilly 62 69 7% Landen 72 84 12% Brianna 80 93 13% Alexis 50 62 12% Kattie 33 58 25% Jenna 90 100 10% Nate 75 86 11% Holly 68 81 13% Molly 46 54 8% Class Average 66 74 Class Percent Increase 9% 6th Period Algebra Chapter 6 Linear Inequalities Name Pre-Test Post-Test Percent Increase Amber 64 72 8% Natalie 78 81 3% Ryan 62 66 4% Joslyn 42 49 7% Jessica 89 87 -2% Brandon 82 80 -2% Remington 84 86 2% Alexa 59 70 11% Brittany 95 91 -4% Destiny 55 67 12% Adam 58 60 2% Tyler 47 50 3% Sara 89 85 -4% Andrew 63 60 -3% Kim 72 77 5% Dylana 39 55 16% Cassie 48 73 25% Caitlin 76 80 4% Savannah 80 87 7% Kodi 95 90 -5% Heather 65 74 9% Lynsey 71 68 -3% Dustin 87 92 5% Iryana 92 100 8% Javier 80 83 3% Class Average 71 75 Class Percent Increase 4% Reflect on the effectiveness of your Unit Plan. Why or why not was your plan effective? I believe the unit plan was very effective. One class made a 4% increase and the other made a 9% increase. The 4% is a little misleading because the grades for the pretest were already high so any improvement was just bonus. The two classes averaged about 75% which I believe is pretty good. Reflect on your teaching effectiveness. What are your teaching strengths? What can you change to enhance student learning? What would you do differently? I believe my teaching strengths are being able to get on the students level and explaining the material where they understand it. I have fun teaching and when the students are all tuned in and proof it by making good grades that makes my day. The thing I feel I need the most work on is classroom management. It would have been hard for me to do all of the things that need to get done without the help of my supervising teacher. Taking roll, getting students from previous days caught up, and controlling the class is a lot to handle. I believe that the only way to get used to this type of schedule is to dive into it and do the best you can.