Integrated Math 2

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In Integrated Math 2 students build on the probability, function, expressions and equations, and geometry work encountered previously. Integrated 2 also marks the introduction of triangle similarity and trigonometry, furthering students’ reasoning skills and language precision. Students will build on their work with probability from grade 7 to admit the notions of independence and conditional probability. Students encounter quadratic functions, comparing and contrasting them with already familiar linear and exponential functions. They develop their abilities to see structure in expressions to show that expressions involving several operations are equivalent (for example, grasping that “substitution” works at various levels of complexity), and they solve quadratic equations by writing a series of equivalent statements, justifying each step. Students continue to develop their picture of the complex number system by investigating how non-real solutions arise and how non-real numbers behave. Students use geometric transformations to define similarity, which leads to triangle similarity criteria and using these criteria to prove a wide variety of theorems and to solve problems. The definitions for sine, cosine, and tangent develop from the understanding that side ratios are predictable for triangles with given angle measures. Finally, students construct more sophisticated arguments for the circumference, area, and volume formulas that they learned in earlier grades.