Math 2

Scope and Sequence for Integrated Math 2

Students begin the course making observations about triangles. Building from these observations, students gather experimental information, develop conjectures, write informal justifications, and then progress to writing formal proofs using definitions, assertions, and theorems developed in Math 1.

Using transformation-based definitions of congruence and similarity allows students to rigorously prove triangle similarity theorems. Students apply theorems to prove results about quadrilaterals and other figures. Students extend their understanding of similarity to right triangle trigonometry in this course and to periodic functions in future courses.

Students then begin their study of quadratic functions. Students investigate real-world contexts, look closely at the structural attributes of a quadratic function, and analyze how these attributes are expressed in different representations. The unit concludes with a study of the geometry of parabolas.

Next, students engage with quadratic equations. Through reasoning, writing equivalent equations, and applying the quadratic formula, students extend their ability to use equations to model relationships and solve problems. Along the way students encounter rational and irrational solutions, deepening their understanding of the real-number system.

This work leads to students developing an understanding of complex numbers and solving quadratic equations that include non-real solutions. The idea of , a number whose square is -1, expands the number system to include complex numbers.

Nearing the end of the course, students analyze relationships between segments and angles in circles and develop the concept of radian measure for angles, which will be built upon in subsequent courses. Students close the year by extending what they learned about probability in grade 7 to consider probabilities of combined events and to identify when events are independent.