https://padlet.com/marissareale/qqac6o0lmd4y Ch.14 → Algebraic Thinking: Generalizations, Patterns, and Functions en-us 2017-06-15 20:44:45 UTC 2017-06-20 19:48:56 UTC hello@padlet.com marissareale https://padlet.com/marissareale/qqac6o0lmd4y/wish/176895043 2017-06-19 18:20:14 UTC https://padlet.com/marissareale/qqac6o0lmd4y/wish/176895043 marissareale https://padlet.com/marissareale/qqac6o0lmd4y/wish/176973167 (Marissa)
-Algebra = established content strand in K-12
-Focus now on thinking and reasoning
-Thinking mathematically through all areas of math
-Thinking mathematically and algebraic thinking are intertwined
-Necessary and useful for daily life
Video link: "Real World Uses of Algebra"
https://www.youtube.com/watch?v=FJ8tprGELds



]]> 2017-06-20 12:09:50 UTC https://padlet.com/marissareale/qqac6o0lmd4y/wish/176973167 https://padlet.com/marissareale/qqac6o0lmd4y/wish/177021295 Begins prek and continues through high school. 


A. Study of structures in the number system , including those arising in arithmetic 
B. Study of patterns, relations, and funtions
C. Process of mathematical modeling, including the meaningful use of symbols. 
-composed of different forms of thought and an understanding of symbols . 


Generalization with operations 
-the process of creating generalizations from number and arithmetic begins as early as prek 
-young students explore addition families and in the process learn how to decompose and recompose numbers. ]]> 2017-06-20 19:22:12 UTC https://padlet.com/marissareale/qqac6o0lmd4y/wish/177021295 https://padlet.com/marissareale/qqac6o0lmd4y/wish/177021314 -Equal sign is the most important 
-2 pan balance visuals/equations
-Good to start in primary grades for better understanding in later grades 
-Relational thinking and solving problems 
VARIABLES 
- used as unique known values/
quantities 
-finding X is understanding how to simplify math problems to help increase skills for later grades.


]]> 2017-06-20 19:22:36 UTC https://padlet.com/marissareale/qqac6o0lmd4y/wish/177021314 https://padlet.com/marissareale/qqac6o0lmd4y/wish/177021337 - It is not to be confused with visual modeling
- It is one of the standards of the common core state standards
- Modeling is trying to do something that functions in real life...
- Coming up with a model and equation that give you multiple outcomes (Ex. How much time you put into this class & what your grade will be)]]> 2017-06-20 19:22:57 UTC https://padlet.com/marissareale/qqac6o0lmd4y/wish/177021337 https://padlet.com/marissareale/qqac6o0lmd4y/wish/177021349 1. Making conjecture about properties: using logic and reasoning to explain justifications of a problem/argument.
2. Justifying Conjectures: making conjectures and justifying that they are always true are central to reasoning and sense making 
-"do you think that is always true?"
3. Number structure: sum of 2even numbers is even. sum of 2odd numbers is even. Sum of even and odd is odd. 
-students use models to strengthen arguments. ]]> 2017-06-20 19:23:09 UTC https://padlet.com/marissareale/qqac6o0lmd4y/wish/177021349 https://padlet.com/marissareale/qqac6o0lmd4y/wish/177021355 -Repeating Patterns: Extending a repeated pattern requires the student to predict what they can't see which is a challenge. A real life context can include patterns within a a daily life such as going to and from school. 

-Growing Patterns: Students not only extend or identify the core but also look for a generalization or an algebraic relationship that will tell them what the pattern will be along the way. 

-Linear Functions: Linear functions are functions that continue to grow in a constant matter. ]]> 2017-06-20 19:23:18 UTC https://padlet.com/marissareale/qqac6o0lmd4y/wish/177021355 https://padlet.com/marissareale/qqac6o0lmd4y/wish/177021572 1. Emphasize Appropriate Algebra Vocabulary (Ex. Creating a word wall or keeping a journal, math models and tables that correspond with the words; giving kids real world problems and a real need to communicate)
2. Connecting Representations (Ex. There are 5 ways! The pattern itself which we can refer to as the context, the table, the verbal description, the symbolic equation, the graph)
3. Algebraic Thinking Across the Curriculum (Ex. Connecting algebra with different subjects, reading, science, social students..Spaghetti and Meatballs for All)]]> 2017-06-20 19:26:40 UTC https://padlet.com/marissareale/qqac6o0lmd4y/wish/177021572