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.

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Learning Domain: Secondary Mathematics I

Standard: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

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Learning Domain: Secondary Mathematics I

Standard: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

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Learning Domain: Secondary Mathematics I

Standard: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm's law V = IR to highlight resistance R.

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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.

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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.

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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.

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