Expressions & Equations

The goal:
Students will be able to apply and extend previous
understandings of arithmetic to algebraic expressions, reason about and solve
onevariable equations and inequalities, and represent and analyze
quantitative relationships between dependent and independent variables.

More specifically, students will understand the use of variables
in mathematical expressions. They write expressions and equations that
correspond to given situations, evaluate expressions, and use expressions and
formulas to solve problems. Students will understand that expressions in
different forms can be equivalent, and they will use the properties of
operations to rewrite expressions in equivalent forms. Students will learn
that the solutions of an equation are the values of the variables that make
the equation true. Students will use properties of operations and the idea of
maintaining the equality of both sides of an equation to solve simple
onestep equations. Students will construct and analyze tables, such as
tables of quantities that are in equivalent ratios, and they use equations
(such as 3x = y) to describe relationships between quantities.

Algebraic
Reasoning
Algebra
Algebra
Games
Math By Design
Maths
Masters
Algebra
Virtual Manipulatives
Exploriments Identifying Variables

Represent and analyze
quantitative relationships between dependent and independent variables.

Use
variables to represent two quantities in a realworld problem that change in
relationship to one another; write an equation to express one quantity,
thought of as the dependent variable, in terms of the other quantity, thought
of as the independent variable. Analyze the relationship between the
dependent and independent variables using graphs and tables, and relate these
to the equation. For example, in a problem involving motion at constant
speed, list and graph ordered pairs of distances and times, and write the
equation d = 65t to represent the relationship between distance and time.


Patterns
Linear Sequences and
Quadratic Sequences
Positive Linear Function Machine
Algebra and Graphing
Graphing Independent and Dependent Variables Review Lesson IXL practice Practice Problems Shmoop Lesson Sample Problems Project Idea Linear Relationships Lesson Graphing Functions on Math Planet SMART notebook Lesson Linear Equation Project
