| | As students learn to detect and describe patterns with
algebra, graphs, tables and words, they also learn to
create more convincing arguments when generalizing
from patterns. In this year-long course, students
develop ways to rigorously justify their conclusions in
geometry, algebra and probability using ASL for
instruction. Students begin this journey by exploring
ruler-compass constructions (Geogebra, Desmos) and
different frameworks for providing proofs for their
conclusions (two-column, flowcharts, diagrams, proofs
by contradiction, and algebraic proofs with coordinate
geometry). By exploring new geometric relationships
from class challenges, activity-based problems in
Desmos, and proof-writing, students make convincing
claims about lines, angles, triangles, dilations, and
similarity. Students develop more skills in geometric
reasoning, algebra, and mathematical modeling as they
explore the algebraic and graphical properties of
quadratic functions. Through the use of mathematical
modeling activities, students learn how the equations of
functions they have studied can be modified to model
real-world phenomena. Students will also learn about
how conditional probability can help them make wise
predictions about random chance events that emerge in
large-scale drug and disease testing. |