Pre-Algebra Description
Just as the name suggests, Pre-Algebra prepares students for
Algebra.
This 1-2 year course builds upon mastery of basic arithmetic: adding,
subtracting,
multiplying, and dividing using whole numbers, fractions, mixed numbers
and decimals.
We review basic arithmetic as needed while moving steadily through the
Pre-Algebra
textbook. Basic skills expand to include using both positive and
negative numbers
while simplifying algebraic expressions and solving simple algebraic
equations.
Acquiring new math vocabulary is a very important part of the
Pre-Algebra curriculum. We begin the year with a study of integers and
algebraic expressions, and quickly begin learning to solve equations
and inequalities. Students learn to carefully organize their written
work on paper, showing each step of a solution. From solving one-step
equations with integers, we move to equations with decimals, fractions,
and mixed numbers, reviewing basic skills to support success.
Every component of the math we do this year is infused with algebraic
notation. We write and solve problems using ratios and proportions and
use cross-products while solving equations. Later in the year, we begin
writing and solving two-step equations and inequalities. Geometry
includes review of Area, Perimeter, and Volume formulas as well as a
few simple constructions exploring the relationships between circles
and triangles. The Pythagorean Theorem is introduced. Exploring linear
functions and graphing are spring topics which bring the year to a
close.
My goal is for every student to learn more, to get better at math, and
to build confidence at every level of proficiency. Students move on to
either study Algebra as eighth graders or to continue developing
Algebra readiness for one more year before entering high school.
