## Description

- Overview:
- This unit was created as an introductory/review unit for Algebra II to allow for a review of main concepts needed to progress in Algebra II. However, it could also be used in Algebra I to introduce for the first time real numbers; number operations; and equations, expressions, and inequalities.

- Remix of:
- Lesson Plan Template
- Subject:
- Secondary Mathematics
- Level:
- High School
- Material Type:
- Homework/Assignment, Lesson, Unit of Study
- Author:
- Emily
- Date Added:
- 02/22/2022

- License:
- Creative Commons Attribution Non-Commercial
- Language:
- English
- Media Format:
- Downloadable docs, Interactive, Text/HTML, Video

## Standards

Learning Domain: Secondary Mathematics I

Standard: Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and simple exponential functions.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics I

Standard: Explain each step in solving a linear equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. Students will solve exponential equations with logarithms in Secondary Mathematics III.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics I

Standard: Solve equations and inequalities in one variable.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics II

Standard: Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics II

Standard: Make sense of problems and persevere in solving them. Explain the meaning of a problem and look for entry points to its solution. Analyze givens, constraints, relationships, and goals. Make conjectures about the form and meaning of the solution, plan a solution pathway, and continually monitor progress asking, "Does this make sense?" Consider analogous problems, make connections between multiple representations, identify the correspondence between different approaches, look for trends, and transform algebraic expressions to highlight meaningful mathematics. Check answers to problems using a different method.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics II

Standard: Reason abstractly and quantitatively. Make sense of the quantities and their relationships in problem situations. Translate between context and algebraic representations by contextualizing and decontextualizing quantitative relationships. This includes the ability to decontextualize a given situation, representing it algebraically and manipulating symbols fluently as well as the ability to contextualize algebraic representations to make sense of the problem.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics II

Standard: Construct viable arguments and critique the reasoning of others. Understand and use stated assumptions, definitions, and previously established results in constructing arguments. Make conjectures and build a logical progression of statements to explore the truth of their conjectures. Justify conclusions and communicate them to others. Respond to the arguments of others by listening, asking clarifying questions, and critiquing the reasoning of others.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics II

Standard: Model with mathematics. Apply mathematics to solve problems arising in everyday life, society, and the workplace. Make assumptions and approximations, identifying important quantities to construct a mathematical model. Routinely interpret mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics II

Standard: Use appropriate tools strategically. Consider the available tools and be sufficiently familiar with them to make sound decisions about when each tool might be helpful, recognizing both the insight to be gained as well as the limitations. Identify relevant external mathematical resources and use them to pose or solve problems. Use tools to explore and deepen their understanding of concepts.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics II

Standard: Attend to precision. Communicate precisely to others. Use explicit definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose. Specify units of measure and label axes to clarify the correspondence with quantities in a problem. Calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics II

Standard: Look for and make use of structure. Look closely at mathematical relationships to identify the underlying structure by recognizing a simple structure within a more complicated structure. See complicated things, such as some algebraic expressions, as single objects or as being composed of several objects.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics II

Standard: Look for and express regularity in repeated reasoning. Notice if reasoning is repeated, and look for both generalizations and shortcuts. Evaluate the reasonableness of intermediate results by maintaining oversight of the process while attending to the details.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics I

Standard: Make sense of problems and persevere in solving them. Explain the meaning of a problem and look for entry points to its solution. Analyze givens, constraints, relationships, and goals. Make conjectures about the form and meaning of the solution, plan a solution pathway, and continually monitor progress asking, "Does this make sense?" Consider analogous problems, make connections between multiple representations, identify the correspondence between different approaches, look for trends, and transform algebraic expressions to highlight meaningful mathematics. Check answers to problems using a different method.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics I

Standard: Reason abstractly and quantitatively. Make sense of the quantities and their relationships in problem situations. Translate between context and algebraic representations by contextualizing and decontextualizing quantitative relationships. This includes the ability to decontextualize a given situation, representing it algebraically and manipulating symbols fluently as well as the ability to contextualize algebraic representations to make sense of the problem.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics I

Standard: Construct viable arguments and critique the reasoning of others. Understand and use stated assumptions, definitions, and previously established results in constructing arguments. Make conjectures and build a logical progression of statements to explore the truth of their conjectures. Justify conclusions and communicate them to others. Respond to the arguments of others by listening, asking clarifying questions, and critiquing the reasoning of others.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics I

Standard: Model with mathematics. Apply mathematics to solve problems arising in everyday life, society, and the workplace. Make assumptions and approximations, identifying important quantities to construct a mathematical model. Routinely interpret mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics I

Standard: Use appropriate tools strategically. Consider the available tools and be sufficiently familiar with them to make sound decisions about when each tool might be helpful, recognizing both the insight to be gained as well as the limitations. Identify relevant external mathematical resources and use them to pose or solve problems. Use tools to explore and deepen their understanding of concepts.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics I

Standard: Attend to precision. Communicate precisely to others. Use explicit definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose. Specify units of measure and label axes to clarify the correspondence with quantities in a problem. Calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics I

Standard: Look for and make use of structure. Look closely at mathematical relationships to identify the underlying structure by recognizing a simple structure within a more complicated structure. See complicated things, such as some algebraic expressions, as single objects or as being composed of several objects.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Secondary Mathematics I

Standard: Look for and express regularity in repeated reasoning. Notice if reasoning is repeated, and look for both generalizations and shortcuts. Evaluate the reasonableness of intermediate results by maintaining oversight of the process while attending to the details.

Degree of Alignment: Not Rated (0 users)

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