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- The fundamental purpose of Integrated I is to formalize and extend the mathematics that students learned in the earlier grades. The critical areas, organized into units, deepen and extend understanding of linear relationships, in part by contrasting them with exponential phenomena, and in part by applying linear models to data that exhibit a linear trend. Mathematics 1 uses properties and theorems involving congruent figures to deepen and extend understanding of geometric knowledge from prior grades. The Mathematical Practice Standards apply throughout each of the integrated courses.
Integrated Mathematics 1 Essential Learning Outcomes
Students will be able to
- Classify and identify different problem types used in integrated 1 math and select suitable problem solving techniques.
- Identify and use applicable math study skills in integrated 1 math
- Evaluate and perform algebraic operations as they relate to polynomial, rational and radical expressions
- Solve word problems and equations involving linear and rational expressions using appropriate algebraic/geometric techniques.
- Manipulate and analyze linear equations including finding slopes, intercepts, graphing and writing equations to represent situations.
- Read, define and apply basic geometric vocabulary and symbols.
- Translate the physical world via geometric concepts and the relationships between geometric figures.
- Evaluate geometric data and arguments using deductive and inductive reasoning.
- Incorporate geometric figures in critical thinking and logical approaches to problem solving.
- Classify and identify different problem types in geometry and select suitable problem solving techniques.
Integrated Mathematics 1 Essential Learning Habits and Practices
Students will demonstrate the ability to
- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
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