__First semester skills__

**Content Skill:**

This semester we learned a ton of content skills like combining like terms, graphing, inequalities, feasible regions, systems of equations, angles, similar triangles, proportions, and trigonometry. I believe the skill I really improved, enjoyed, and generally did the best on was trigonometry. The concept was introduced to me as "The Shadow problem" and in it we learned about sine cosine and tangents as well as a ton of other skills. We spent many days in class practicing and doing a lot of homework and quizzes. On my first shadow quiz I got 27.5/22.

**Problem Solving Skill:**

This semester in algebra 1 I learned many new problem solving skills and improved on many others. The problem solving skill that I developed most would definitely be "Contextualize your answer and reflect on it." This for me was especially difficult when working on the POWs. I found it hard to take a problem I had been working on mathematically and contextualize it for my write up. It was extremely difficult for me to convey my thought and process of the work in a way that could be understood when read by someone else. This skill happened to be the one I was the worst at. To improve open this skill I basically had to practice going back to my original mindset and retrace my steps while writing down my thoughts and answers. Overall I believe that while it may be frustrating and tricky to learn this skill is necessary to have and super helpful in Algebra 1. Below is the write up from my favorite POW of the semester.

Below is a list of all the other skills we utilized to solve problems this semester.

Formulate a plan and anticipate major intermediate steps

Generate multiple means of approaching the problem and brainstorm plans

Identify and apply appropriate mathematical tools (formulae, equations, diagrams, graphs)

Restate the problem in a different way that adds to our understanding

Translate ideas using other forms or representations - language, symbolic, visual

Respond to the ideas of others - ask clarifying questions, build on promising ideas

Solicit contributions from quieter members of the group

Disprove with a reason or counterexample

Generate a new idea from a logical error

Find and/or correct logical flaws

Attend to precision and detail - correct computational errors

Contextualize your answer and reflect on it

Provide justification for an idea or process

Develop general rules based on specific examples

Connect abstract idea to real world example

Formulate a plan and anticipate major intermediate steps

Generate multiple means of approaching the problem and brainstorm plans

Identify and apply appropriate mathematical tools (formulae, equations, diagrams, graphs)

*Communicating thinking in a clear and accessible way*Restate the problem in a different way that adds to our understanding

Translate ideas using other forms or representations - language, symbolic, visual

Respond to the ideas of others - ask clarifying questions, build on promising ideas

Solicit contributions from quieter members of the group

*Recognizing and resolving errors*Disprove with a reason or counterexample

Generate a new idea from a logical error

Find and/or correct logical flaws

Attend to precision and detail - correct computational errors

*Reflecting and synthesizing*Contextualize your answer and reflect on it

Provide justification for an idea or process

Develop general rules based on specific examples

Connect abstract idea to real world example

__Cookies unit__

"This 35 day unit is a complex linear programming problem about a bakery that makes 2 types of cookies. We will be graphing inequalities and feasible regions, profit lines and finding maximum profits." -Lauren Lucky

**Cookie Unit Cover**

This semester we have been working on several math concepts such as Writing Algebraic Constraints, Solving and Graphing Inequalities, Standard Form Graphing, Solving Systems of Equations and Inequalities, Graphing Feasible Regions, Profit Lines, And Maximizing/Minimizing profit, threw a series of fun activities called “The Cookie Unit.”

We were told the amount of supplies and also other constraints such as time oven size ect. We learned to maximize profits, find feasible regions, and graph/solve inequalities while strategizing to solve this problem. We found the answer by graphing each constraint and finding the feasible region then maximizing the profit from that.

This unit was overall a fun educational challenge. I believe I have grown from this unit in persistence because while learning difficult math concepts I had to strategize and apply many of them at once in many different ways to better understand this unit. My cookie portfolio shows many of the drafts and other problems we had to learn and solve to understand and solve the unit problem.