Learning Objectives: Cognitive- Students will be able to: • Apply the Associative property of multiplication to multiply. Psychomotor-Students will be able to: • Write the order of operation before applying the associative property to multiply. Affective-Students will be able to: • worked collaboratively and give each other help when needed. Academic Vocabulary: Associative property-- “When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors” (Banfill, 2009). Prior Knowledge: To teach this lesson, students should be familiar with: 1. Multiplication times table Teacher Preparation and Resources: 1. Interactive whiteboard 2. Tablets/Laptop 3. Cardboard with numbers and letters. 4. Individual worksheet 5. Group and self-evaluation rubric Procedure: Introduction/Motivation: According to Ormrod (2008), “People of all ages learn new information more effectively when they can relate it to what they already know” (p.253). For this reason, to introduce this lesson, I will select four students. While the chosen students are standing in front of the classroom, I will give each of the student a cardboard with a different number. For instance, the first student will have the number 13, the second student will have the number 4, the third student will have the letter X for multiplication and the fourth student will have the equal sign. After, I will have the class solve the problem and write the answer as well as the…
Abstract: This paper is a report on the development of algebra throughout time. It’s slow, but nevertheless, unyielding progression brings us to the algebra we know today. However, it was not always based on the abstract, rather, it was born out of necessity. The need to calculate unknown quantities gave rise to algebraic methods and techniques practiced and taught even today. And, even though nowadays, algebra is a rather abstract mathematics, this was not always the case. It was through…
driven decisions that ultimately relate to logistics, supply chains and warehousing. Business math differs from other types of math’s because it consists of more advanced mathematics such as matrix algebra, linear programming and mathematics of finance. Thus, it is perfect to use in the business management field. Not only is Business math a very important type of mathematics but so is Financial Mathematics because they two form important branches of math that are directly applied to business and…
Abstract: - Mathematics is a fascinating subject filled with concepts and ideas that have been formed and developed throughout time. This paper focuses on the contributions made by Islamic mathematician Muhammad Al-Khwarizmi to the difference subjects of algebra, geometry and trigonometry. Ideas discovered by Al-Khwarizmi are discussed as well as other concepts that serve as proof of his understanding of various complex ideas we use nowadays. These concepts include simplifying equations,…
Different number were even believed to have a cosmic significance or magical powers. However the main thrust of Chinese mathematics came from the Empire’s desire to have administrators that were well versed in mathematics. Therefore in order to educate, a textbook called, “Nine Chapters on the Mathematical Art” was written. This important text became a vital part of Chinese education. This tool provided hundreds of problems in taxation, engineering and payment of wages. The text served as a…
Ms. Caldwell definitely deserves being teacher of the year. If you ask me why I will say many things, for example, math wasn’t a subject I valued until I had Ms. Caldwell for Algebra 1. She always helped us and made sure she answered the questions we had. She would make my classmates and I go early in the mornings to her office so we could explain what we had done wrong and if we didn’t understand the material she would explain the material in detail and say why the answer is right. Her…
done alright with that mentality until I began studying for myself. I would look into books for biology, and algebra. Algebra was interesting to me because it was simple equations with letters. You would have to just make a letter equal a number, or another letter. For example: 4=x+1; in turn the answer would be x=3. It would then get more complex later on, where the teachers would throw things like, “X=8b+4” which would take longer to solve. The year was a breeze for me. The next year was not…
I continued on in high school with geometry, a second year of algebra, precalculus, trigonometry, and calculus. Thus far, my math courses in college have also been easy for me. My least favorite teacher was my calculus teacher, and it was not solely because of the tough subject matter. He was an engineer who took up teaching after retirement. He very simply could not teach well. He would stand in front of the board and talk through the problem at a pace that was almost impossible to follow. I…
social environments, numbers surround me. Over many years, I have learned how to derive meaning from them or use them to help me figure things out. During this unit, I have learnt, re-learnt and applied various areas of mathematics to help me achieve the outcomes and find solutions to each ‘Thinking Time Problem’ [TTP] presented. These relate to the Australian Curriculum- Mathematics proficiency strands of problem solving and reasoning, while the ‘What I Know About’ [WIKA] activities relate to…
The unit that will be transformed is a unit is The Building Blocks of Algebra (eMath Instructional Inc., 2016). This unit is in need of a transformation because of the lack of differentiation. Although there is plenty of scaffolding of the new content (Van de Walle, Karp, & Bay-Williams, 2013, p. 23), the approach does not vary very much in its representation (Van de Walle et al., 2013, p. 22-24). The majority of the unit structure is to be straightforward with the content and not deviate from…