Sequoia Middle School

This year-long course helps seventh grade students deepen their understanding of proportional relationships to solve complicated problems. Eighth grade students deepen their understanding of rational and irrational numbers.  Algebraically, students compute with radicals and exponents, solve linear equations and define, solve, compare, and graph functions.  In geometry, seventh grade students understand and use the Pythagorean Theorem and solve problems involving volumes of cylinders, cones, and spheres.

· Understand rational and irrational numbers

· Work with radicals and integer exponents

· For example, estimate the population of the United States as 3 x 10⁸ and the population of the world as 7 x 10⁹, and determine that the world population is more than 20 times larger.

· Understand the connection between proportional relationships, lines, and linear equations  and be able to graph them

· Understand that the unit rate of a proportional relationship is the slope of the graph

· Use similar triangles to explain slope and understand y = mx + b

· Analyze and solve linear equations with one variable and pairs of simultaneous linear equations

· Define, solve, and compare functions

· Understand that a function is a rule and the ordered pairs are input and output

· Build and use functions to model relationships

· Understand congruence and similarity

· Understand, use, and apply the Pythagorean Theorem

· Investigate patterns of sets of data

· Construct and interpret scatter plots

· Solve problems involving volumes of cylinders, cones, and spheres

· Construct and interpret scatter plots