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Kimberly Hatzl Grade 5 Geometry Individual Lesson Plans Date: Day 1/October 31 Lesson topic/title: Opener and Lesson 3.3 Exploring Angle Measures CCSS(s): CCSS(s): CCSS.Math.Practices.MP5 – Use appropriate tools strategically CCSS.5.G.B.4 – Classify two-dimensional figures in a hierarchy based on properties. Background Knowledge: Students learned about angles and their components in fourth grade so today’s lesson should be a review for them. Learning Target(s)/Objective(s): Students will be working in pairs and table groups to identify angles. Rationale: Angles are features in our daily lives and students use them without conscious thought (i.e.: throwing a ball to someone taller, you would need to make the angle larger.) Materials: Variety of picture books, red vocabulary journals (students have these), copies for each pair of Math Masters page 77 Procedures and approximate time allocated for each Academic, Social and event Linguistic Support during each event for my focus students LAUNCH (Introduction to the lesson) By providing hands on Students will be given a wide variety of picture books and approach to finding angles I-Spy books for them to use to find various angles and and polygons in various polygons. Students can share out with their groups when books. Sharing out with their groups can help Kimberly Hatzl Grade 5 Geometry Individual Lesson Plans they have found different angles and polygons. If groups struggling students see that seem to be struggling, I will project an example onto the these concepts do connect Smartboard with the ELMO to help groups be successful. to their lives outside of school. (10 minutes) EXPLORE (Outline of Key events During the lesson) Key Events: We will provide a review of the following terms that students will create definitions and examples for: angle(s), degrees, measure of angle B (angles are named by the first letter or three letters with the first letter in the middle), vertex, circles, and straight lines. These class definitions and examples will be added to the student’s red vocabulary journals. With the person sitting next to them, students will be working on page 77. The page shows a circle divided into four equal parts at vertex. We will go through the first question together as a class, “how many degrees are in a circle?” and from that students will branch off into their table groups to answer the other questions on the worksheet. The questions on the sheet are as follows: how many degrees are in a circle and the degree of each angle if the circle was divided into 4 equal parts, 8 equal parts, 12 equal parts, 6 equal parts, and 360 equal parts. Students may not be able to finish this activity during this class period, there will be time provided to them during the following lesson to finish it. This activity is intended to have students dividing the circle (360 degrees) by the number of angles that they are being asked to find in the questions. (35 minutes) This provides students who struggle with writing definitions down as a class, I will provide them with a copy of the notes prior to class to ensure that they can copy the definitions in class at their own pace. They can also staple in the class definitions to assist with studying with their resource teachers. By working with the person sitting next to them, they have the opportunity to bounce ideas off of each other and guide each other if one of them is struggling. Students will be working together with the person sitting next to them and at the close of the unit; they will be able to check their Kimberly Hatzl Grade 5 Geometry Individual Lesson Plans answers against the group consensus. If partners have SUMMARIZE (Closing Summary for the Lesson) incorrect answers, they will How will you (a) structure the closing of the lesson? I will be provided with time the bring the students back to focus as a class by asking following day to adjust their answers. them to give me five. (b) facilitate the sharing of student thinking? I will ask students how far they have gotten on the sheet and assuming students have completed the first two questions (how many degrees in a circle and the degree measures if the circle is divided into four pieces). I will have groups share their findings about these two questions. (c) help students listen actively to each other? Students will be asked to agree or disagree with group findings to determine a consensus on what the correct answer will be. (d) help them make connections to prior lessons or prepare for future experiences? I will highlight to students that we will be using circles again later in the unit and that they need to understand that a circle is 360 degrees. (e) sequence the main ideas of the lesson? I plan to start the lesson with a fun introduction into geometry by using the picture books to find angles and polygons. Following this activity, students will be reviewing key vocabulary terms and concepts that will be placed into their red vocabulary math journals. The final activity will be the Math Masters page 77 sheet that will be completed with the person sitting next to them. Most groups will be unable to finish this sheet today and time will be provided to them during the next lesson to complete it. (f) help student reflect on their experiences? I plan on asking students to explain what was difficult or challenging about the sheet to help adapt my lesson for the following day to ensure their success. (g) elicit feedback from them? Rather than asking groups in front of the class, I will be walking around during their Kimberly Hatzl Grade 5 Geometry Individual Lesson Plans work period asking groups if they are struggling and what is causing their struggle. Partners will hand this sheet into the basket to ensure that it does not get misplaced during their day off from school due to professional development. (5 minutes) Formative Assessment Academic, Social, and Linguistic Support during Pairs will be asked to hand in the handout of Math assessment Master’s page 77, I will use this to determine their understanding of total number of degrees within a circle I have created a new and if I need to spend more time explaining and seating chart for this unit scaffolding it the following day. Throughout the lesson, I that encourages students will be walking around discussing with pairs what they are to ask each other for working on and helping to address any misconceptions assistance. The students that arise. As a class, we will go over and work through who need the extra support various problems on the worksheet either at the end of are placed around other this lesson or at the start of the following day’s lesson. students who are at or above grade level and have shown support to other students thus far. Date: Day 2/November 2 Lesson topic/title: Continuing Lesson 3.3 Exploring Angle Measures Kimberly Hatzl Grade 5 Geometry Individual Lesson Plans CCSS(s): CCSS.Math.Practices.MP5 – Use appropriate tools strategically CCSS.5.G.B.4 – Classify two-dimensional figures in a hierarchy based on properties. Background Knowledge: Students learned about angles and their components in fourth grade so today’s lesson should be a review for them. Learning Target(s)/Objective(s): Students will be working in pairs and table groups to identify angles. Rationale: Angles are features in our daily lives and students use them without conscious thought (i.e.: throwing a ball to someone taller, you would need to make the angle larger.) Materials: Variety of picture books, red vocabulary journals (students have these), copies for each pair of Math Masters page 77 from the previous day to be distributed before class begins, pattern blocks Procedures and approximate time allocated for each Academic, Social and event Linguistic Support during each event for my focus students LAUNCH (Introduction to the lesson) I will be asking students what they remember from the first lesson and what they learned during that period. We will be finishing up the Math Masters sheet from yesterday with the person you were working with yesterday. I will give you ten minutes or so to complete this then we have to move on. If groups are finished early, then they can start working on Math Boxes that will need to be completed before their unit test. (10 minutes) A brief review will help students recall what was discussed during our first lesson. Kimberly Hatzl Grade 5 Geometry Individual Lesson Plans EXPLORE (Outline of Key events During the lesson) Key Events: With a different person at your table group, complete page 66 in your math journals without using a protractor, only use the pattern blocks that have been provided. We will do the first shape, the equilateral triangle, together as a class. Students should see that there is a certain number of equilateral triangles that can be placed together to form a circle at the vertex point at the center of the circle. Based on the circle being formed at the vertex, we can divide the circle formed by the number of angles used to form it (with the equilateral triangles, they will need to use 6). Since we learned in the previous lesson that a circle is 360 degrees, students can divide 360 by 6 to determine what the measure of one angle is in the triangle (60 degrees). Based on our triangle pattern blocks being equilateral triangles, students will know that the sum of the three angles in the triangle will equal 180 degrees, so the angles must be equal. If they are struggling with this concept, we will discuss it further in later lessons in the unit. Students will finish the page in their journal; other shapes on the page are hexagons, rhombuses, and trapezoids. Students can use their newly acquired knowledge that the angles in their equilateral triangles are each 60 degrees; they can use their triangles to place them over the various shapes to determine the angles. Students can also use their knowledge about forming a circle around the vertex to divide 360 degrees by the number of shapes they used to form the circle. (20-25 minutes) SUMMARIZE (Closing Summary for the Lesson) How will you (a) structure the closing of the lesson? With ten to fifteen minutes left in class, we will go over page 66 in their math journals. Groups will be given the opportunity to share their thinking to the whole class by using the This is a very hands-on activity which allows students to manipulate the angles to form circles and divide accordingly. If students are having difficulties dividing, their partners will be able to assist them to ensure accurate answers. By having students share their thinking on how they found the answers, students will be able to see multiple solutions and determine which works better for them. Kimberly Hatzl Grade 5 Geometry Individual Lesson Plans ELMO. (b) facilitate the sharing of student thinking? By providing students with the opportunity to share with the class on the Smartboard, they are more willing to participate. Also, if while I am walking around observing groups and there is a unique way to find the answer, I will ask that group to share their thinking because it might help other students. (c) help students listen actively to each other? Students will be listening to each other to determine if there is an easier way to solve the problem and to see if there are discrepancies between their answers and the group who is sharing’s answers. (d) help them make connections to prior lessons or prepare for future experiences? I will highlight to students that we will be using circles again later in the unit and that they need to understand that a circle is 360 degrees. (e) sequence the main ideas of the lesson? We will provide a brief review of what we discussed in the previous lesson; this will help their memories due to their day off in between lessons. Following this, they will be provided with work time to finish this sheet and hand it in for credit. Then we will complete page 66 in their math journals with a different person at their table groups. We will complete the first shape, the triangle, as a class, and then partners will be given the opportunity to finish the page. After the work time, students will share out their ideas as a class to determine if there are other solutions to the problems that students had not previously considered. (f) help student reflect on their experiences? During the period where students are sharing out as a class, I will be asking them to explain their thinking about why they chose that particular method to determine the angles in each shape. (g) elicit feedback from them? Rather than asking individual groups in front of the whole group on their Kimberly Hatzl Grade 5 Geometry Individual Lesson Plans thoughts on the activity, I will ask groups during my observation. This will also allow me to see if and where students are struggling and adapt my future lessons to support them. Students will be asked to complete study link 3.3 and math boxes 3.3 as homework to be collected in the next lesson. (10-15 minutes) Formative Assessment Academic, Social, and Linguistic Support during I will be collecting Math Masters page 77 to see if assessment students understand that circles are composed of 360 degrees and how to divide them accordingly based on a I have created a new set number of parts. seating chart for this unit that encourages students I will also be walking around observing groups while they to ask each other for work on page 66 to see if they understand what is being assistance. The students asked of them and to answer any questions that arise. who need the extra support While students are sharing out at the end of class, I will be are placed around other able to see how they manipulated shapes to determine students who are at or the angles. above grade level and have shown support to other students thus far.