The document provides information about a math course for grade 8 students on solving literal equations. It outlines the learning goal of being able to solve literal equations for a specified variable. It also includes descriptions of different score levels that demonstrate varying levels of understanding and ability in solving literal equations, from being able to solve complex multi-step problems independently to not knowing where to begin.

1. Grade 8: Math Course 3 STUDENT FRIENDLY VERSION
Ch 9-1 A Literal Equations
Prerequisite Content:
Solve equations using the order of operations.
Solve and graph one- and two-step equations in one variable.
Use exponents and square roots.
Learning Goal:
At the end of this lesson, students will be able to solve literal equations for a specified
variable.
More Complex Content:
Dimensional Analysis
Weighted Averages
Score 4.0 So this is what I had to learn this for! Without help, I can solve a literal equation
for any variable and use that equation to solve a real-life problemlike finding out
how much principal someone invested in a bank, or what height a cylinder is.
Score 3.5 Now that I’m so good at literal equations, I can solve a literal
equation for any or all of the variables, and recognize that these
equations are all equivalent to one another.
Score 3.0 I’m proud to say I can solve every literal equation problem correctly without help
even if I have to do many steps with addition/subtraction,
multiplication/division, fractions, exponents/square roots, and even
parentheses.
Score 2.5 I can get the right answer without help if I only have to do one step,
but if I have to do more than one thing to solve the problem, I might
make a mistake part way through or get stuck and forget what I
should do next, especially on harder problems with fractions,
exponents, square roots, or parentheses.
Score 2.0 I know what I am supposed to do, and I can begin without help. But once, I start,
I sometimes get lost and make mistakes such as, multiply when I should divide,
or add a variable to one side of the equation, but not the other side of the equal
sign. I sometimes do the operations in the wrong order.
Score 1.5 I can solve a problem, with help, if all I have to do is add or subtract
a variable from both sides first, and then multiply or divide a
variable in order to isolate the variable I need to solve for.
Score 1.0 I can solve a simple problem if all I have to do is divide, multiply, add or subtract
a variable from both sides of the equation, as long as I have help.
Score 0.5 I know which letter needs to be alone on one side of the equal sign
(which variable to isolate).
Score 0.0 I do not know where to begin, and all explanations just sound like another
language. What happened to all the numbers? What am I supposed to do with
all those letters?

2. Grade 8: Math Course 3 TEACHER VERSION
Ch 9-1 A Literal Equations
Prerequisite Content:
Solve equations using the order of operations.
Solve and graph one- and two-step equations in one variable.
Use exponents and square roots.
Learning Goal:
By the end of this lesson, students will be able to solve literal equations for a specified
variable.
More Complex Content:
Dimensional Analysis
Weighted Averages
Score 4.0 In addition to Score 3.0 performance, in-depth inferences and applications that
go beyond what was taught, such as
The student can correctly solve a literal equation for the specified variable(s),
and solve a real-life problem with a numeric solution using the equation
solution.
Score 3.5 The student can correctly identify equivalent literal equations
solved for various specified variables.
Score 3.0 While engaged in solving literal equations tasks, the student demonstrates an
ability to
correctly solve for the specified variable in problems that include one or all of
the following parameters: parentheses, fractions, exponents of 2, multiplication
and/or division, and addition and/or subtraction.
The student exhibits no major errors or omissions.
Score 2.5 The student can, without help, partially solve for the specified
variable in multi-step equations that include one or all of the
following parameters: parentheses, fractions, exponents of 2,
multiplication and/or division, and addition and/or subtraction; and
can, without help, successfully solve a literal equation for a specified
variable if only one step is required to reach the solution.
Score 2.0 No major errors or omissions regarding the simpler details and processes, such
as
without help, the student can begin to solve for a specified variable, but will
make a common error(s) preventing a correct solution, such as: not following
the reverse order of operations, not performing an operation on both sides of
the equation, performing the wrong operation(s) on the correct variable(s),
and/or performing the correct operation on the incorrect variable(s).
However, the student exhibits major errors or omissions with Score 3.0

3. elements.
Score 1.5 The student with help can solve a two-step equation involving
addition and/or subtraction and multiplication and/or division.
Score 1.0 With help, a partial understanding of some of the Score 2.0 elements and some
of the Score 3.0 elements.
The student with help can solve a one-step literal equation.
Score 0.5 The student can identify the specified variable.
Score 0.0 Even with help, no understanding or skill demonstrated.