All About Geometry- Basics of Polygons, Lines, Angles, Area, and Perimeter

In this 10 week class, students will learn about many topics in geometry. The weeks are: Week 1- Polygons and Shapes, Week 2- Lines and Angles/Intro to a Protractor, Week 3- Types of Triangles, Week 4-Perimeter of Square, Rectangle, Triangle, and Parallelogram, Week 5- Area of Square, Rectangle, Triangle, and Parallelogram, Week 6- Parts of a Circle/Intro to a Compass, Week 7- Area and Circumference of Circles, Week 8- Surface Area, Week 9- Volume, and Week 10- Final Project: "My Dream Backyard". 

Week 1: Polygons and Shapes-  This class will be split up into introduction, teacher instruction, guided practice, and individual practice. At the beginning of class, we will introduce ourselves to each other and the teacher will gauge the students' prior knowledge about the topic. For teacher instruction, students will learn what a polygon is as well as many examples of shapes that are considered polygons. The shapes that students will learn are triangle, parallelogram, quadrilateral, rectangle, square, rhombus, trapezoid, pentagon, hexagon, heptagon, octagon, nonagon, and decagon. The students will be asked to draw each shape with the teacher, as well as write the definition and unique characteristics of each shape. For guided practice, the class will then play an identification game called "Name that Polygon" where students will be shown a picture of one of the polygons and must identify it as quickly as they can to earn a point. Students will then be taught the difference between similar figures and congruent figures. Students will be asked to identify if the polygons shown to them by the teacher are similar or congruent. For individual practice, the students will choose their favorite polygon we learned about in class to draw it as a similar figure and as a congruent figure. They will then share their polygon with the class and the teacher. 

Week 2: Lines and Angles/Intro to Protractor- This class will be split up into review, teacher instruction, guided practice, and individual practice. The class will start with a review time were students will review and identify the polygons we learned from the previous week. They will also review the differences between similar figures and congruent figures. For teacher instruction, we will define and draw examples of the terms line, line segment, ray, angle, intersecting lines, perpendicular lines, and parallel lines. For guided practice, we will play an identification game where the students will be shown a picture of one of the lines and must identify it as quickly as they can to earn a point. Students will then learn the terms right angle, acute angles, and obtuse angles. They will then be taught how to use a protractor to measure each of the angles to help them understand the difference between each type of angle. Students will then learn the terms straight angle, complimentary angle, and supplementary angle. They will learn how to solve for the missing angles for both complimentary and supplementary angles. 

Week 3: Types of Triangles- This class will be split up into review, teacher instruction, guided practice, and individual practice. This class will start with a review time were students will review and identify the types of lines and angles we learned from the previous week. For teacher instruction, the teacher will review what a triangle is, and define equilateral, isosceles, and scalene triangles. The students will be asked to draw them with the teacher and she will check the students' work to see that they are drawing them correctly. For guided practice, students will learn that the angles of a triangle equal 180 degrees, so students will use their protractors to measure the angles in the triangle and solve for the missing angles to make sure they all equal up to 180 degrees. Students will also learn the different transformations: slide, turn, and flip. For individual practice, students will be asked to draw the transformation of different triangles with the teacher and show how they move based of the transformation given to them by the teacher. The teacher will check that they move each of their shapes correctly as they go through each one. 

Week 4: Perimeter of Square, Rectangle, Triangle, and Parallelogram-  This class will be split up into review, teacher instruction, guided practice, and individual practice. We will start the class with a review time to go over the types of triangles and transformations the students learned in the previous class. For teacher instruction, the teacher will define what perimeter is. The students will be asked to write down each formula for finding the perimeter of a square, rectangle, triangle, and parallelogram. We will use songs to help us memorize the formulas. For guided practice, the teacher will walk the students through how to find the perimeter of each of the shapes step by step. For individual practice, the students will then be asked to solve for the perimeter on their own. The teacher will check that they have solved it correctly and labeled it correctly with the unit of measurement. 

Week 5: Area of Square, Rectangle, Triangle, and Parallelogram- This class will be split up into review, teacher instruction, guided practice, and individual practice. We will start the class with a review time to go over the formulas for perimeter and do a few example problems to remind the students of how to do perimeter from the previous class. For teacher instruction, the teacher will define what area is. The students will be asked to write down each formula for finding the area of a square, rectangle, triangle, and parallelogram. We will use songs to help us memorize the formulas.For guided practice, the teacher will walk the students through how to find the area of each of the shapes step by step. For individual practice, the students will then be asked to solve for the area on their own. The teacher will check that they have solved it correctly and labeled it correctly with the unit of measurement. 

Week 6: Parts of a Circle/Intro to a Compass- This class will be split up into review, teacher instruction, guided practice, and individual practice. We will start the class with reviewing the formulas for area and do a few example problems to remind the students how to area from the previous class. For teacher instruction, the teacher will discuss the different parts of a circle. The teacher will discuss how students can use letters to identify and label the different parts of the circle. The teacher will also introduce a compass. For guided practice, the students will be asked to follow the teachers instructions step by step to use the compass to draw circles with specific diameters and radius. For independent practice, the students will be asked to use their compass to draw a picture with circles (For ex: face, snowman, etc.). The students will be given time to draw and decorate their pictures. The students will share their picture at the end of the class. If more time is needed to finish their projects, the students may need to finish their picture for homework and present to the teacher and students at the beginning of the next class. 

Week 7: Area and Circumference of Circles- This class will be split up into review, teacher instruction, guided practice, and individual practice. We will start the class with reviewing the parts of a circle. The students will also be able to share their circle drawings if they were not able to present their finished project at the end of the previous class. For teacher instruction, the teacher will review what area means. The teacher will also introduce and define the term, circumference. The students will asked to write the formula for area and circumference of circles down in their notes. We will use songs to help us memorize the formulas.For guided practice, the students will work on example problems for circumference and area step by step with the teacher. The teacher will be checking as the students go through each problem to check that they are getting it right. For individual practice, the students will be asked to finish a few problems on their own. The teacher will check that they have solved it correctly and labeled it correctly with the unit of measurement. 

Week 8: Surface Area- This class will be split up into review, teacher instruction, guided practice, and individual practice. We will start the class with reviewing the formulas for circumference and area of a circle. The students will also solve an example problem to review how to find solve for each. For teacher instruction, the teacher will define what surface area is. The teacher will also explain how a net is used to find the surface area of the 3D shapes: cube, triangular prism, rectangular prism, and square pyramid. For guided practice, the students will work on example problems with the teacher step by step to solve for the surface area of each shape. The teacher will be checking as the students go through each problem to check that they are getting it correct. For individual practice, the students will be asked to solve a few problems on their own. The teacher will check that they have solved it correctly and labeled it correctly with the unit of measurement. 

Week 9: Volume-This class will be split up into review, teacher instruction, guided practice, and individual practice. We will start the class with reviewing what surface area is and how you would solve for it. The students will also solve an review problem to practice solving for surface area. For teacher instruction, the teacher will define volume. Teacher will show examples of household object that have volume. The teacher will also give the formula for volume. Students will be asked to write the definition of volume and the formula down in their notes. For guided practice, the students will work on problems step by step with the teacher to solve for the volume of each 3D shape. The teacher will be checking as the students go through each problem to check that they are doing it right. For individual practice, the students will be asked to solve a few problems on their own. The teacher will check that they have solved it correctly and labeled it correctly with the unit of measurement. 

Week 10: Final Project: "My Dream Backyard"- This class will be split up into review, teacher instructions, guided practice, and individual practice. We will start the class by reviewing what volume is and its formula. The students will also do a review problem to practice how to solve for the volume of a 3D shape. For teacher instruction, the teacher will explain the final project of "My Dream Backyard". Students will be designing a 'flat plan' of their dream backyard using shapes to represent different items they would have in their backyard. The students will be asked to include 2 rectangles, 1 squares, 1 triangle, and 1 circle in their backyard. The students will need their compass to draw the circle. The teacher will help them set their flat plans up on their graph paper according to the scale and the given measurement of each shape. For guided practice, the students will then be asked to solve for the perimeter and area of each shape. The teacher will be checking as they go along to see that they have correctly solved for the perimeter and area of each shape and correctly labeled it will the unit of measurement. For individual practice, the students will decide what each shape represents in their backyard. They will get a chance to decorate and color their backyard. At the end of the class, all of the students will share their finished dream backyard with the class.  

I taught sixth grade math for four years. I am passionate about helping students learn new math skills while making it fun and engaging. As a teacher, I make sure to create standard-based lessons that help students to learn the curriculum while making it fun to learn!