Week 1: Different Number systems/Base 10(11,12,13,14...)(3.1)
In this moduele we learned about the ancient number systems and how to read/understand those. Then we learned about base 10 and how to understand that. Then we learned about all the other bases (base 5,6,7,8,9,10,11,12,ect.) and how to comvert them to base 10 or vice versea.
Week 2: Addition of Whole Numbers & Subtraction of Whole Numbers (3.2-3.3)
In these chapters this week we learned about the addition of whole numbers as well as subtraction. We learned different methods of additiona nd subrtacion and how to incorptate those into opur lesson s as future teachers.
Week 3: Multpilcation of Whole Numbers & Division of Whole Numbers (3.4-3.5)
In these chaqpters this week we learned aboiut mulitplication of whole numbers and diviosion. We learned various methodsnof how to slove these problems without a caculatior. We also learned how to help students who get stuck or confused.
Week 5: Divisibility and Prime/Composite Numbers (4.1-4.2)
In this modele we learned about how prime and compsites and how they work. We learned methods on how the difference of prime and composites in a teaching setting.
Week 6: Greatest Common Divisor and Least Common Multiple (4.3)
In this moduele I learned that the GCD and LCM are fundamental concepts in number thory and math. These are very imoprt topics when it comes to multlipaction and division.
Week 7: Addittion/subtraction & multplication/divison of integers (5.1-5.2)
I learned about addirion and subtraction of integers as well as muliplication. These are important topics to understand becuase this is a huge topic for students.
Week 9: The set of Rational Numbers/ Addidtion, subtraction, esdtimation with rational numbers (6.1-6.2)
I learned that any number that can be expressed as a fraction where both the numerator and denominator are integers (whole numbers), and the denominator is not zero; essentially, any number that can be written as a whole number divided by another whole number, including terminating decimals and repeating decimals.
Week 10: Multpicication, Division, and estimation with rational numbers/ proportional reasoning & Math connections (6.3-6.4)
I learned that when working with rational numbers, multiplication, division, and estimation are deeply connected to proportional reasoning
Week 12: Terminating Decimals (7.1)
I learned that a decimal number that has a finite number of digits after the decimal point.
Week 13: Operartions on decimals/repeating decimals (7.2-7.3)
I learned that to perform operations on decimals and repeating decimals, you can either convert the repeating decimals into fractions first, or directly manipulate the decimal numbers by aligning the decimal points and performing the operation as you would with whole numberst.
Week 14: percents/Real Numbers (7.4-7.5)
I learnd that percents are a type of rational number which is a number that can be written as a fraction with a whole number numerator and denominator that's not zero.