Problem Solving
Summary of Notes:January 11: We went over George Polya's Problem Solving Process. This process consists of 4 steps: Understand the Problem, Devise a Plan, Catty Out the Plan, and Look Back.
Photo of Notes: These notes cover what was taught on January 11 and January 18.
Summary of Notes: Today we went over George Polya's 4 Steps to Problem Solving. These include: Understand the Problem, Devise a Plan, Carry Out the Plan, and Look Back. We also worked on 3 different word problems, both of which could be solved in numerous ways. I used physical blocks to aid in my understanding of the Tug of War Problem. I drew a diagram to help me solve the Book Problem. The handshake problem required us to find a pattern.^
Supplemental Video
Number Systems
Photo of Notes
Summary of Notes: This chapter started off with going over Base 10. We learned that numbers represent quantity, the value of a number changes when its position changes, Base 10 holds digits from 1-10, and that decimals separate the whole from the part. Once we felt comfortable with Base 10, we moved on to other bases, such as Base 5, Base 3, and Base 2. We learned how to convert a number in Base 10 to a number in any other base, and vice versa.
Properties
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Summary of Notes: This chapter covered multiplication, addition, and subtraction properties. The properties of addition include Identity, Commutative, and Associative. The properties of Multiplication include Identity, Commutative, Associative, Zero, and Distributive. The properties of Subtraction include Take Away, Compare, and Missing Addend. We also learned that younger students tend to understand concepts more in addition terms rather than subtraction.
Algorithms
Summary of Notes: We covered 5 different Addition, Subtraction, and Multiplication Algorithms. We learned the importance of understanding the algorithms that emphasize place value before resorting to American Standard. This allows students to truly understand why they are taking certain steps while solving addition and subtraction problems.