6th Grade Advanced Math
Learning Guide
MIU 6 : Expressions and Equations
Learning Target:

I can create and solve real-world and mathematical problems by
using equations or inequalities and represent inequality solutions on
a number line diagram.

I can demonstrate the relationship between dependent and
independent variables using graphs and tables.
Key Vocabulary:
Associative Property of Addition/Multiplication: The value of a sum or product does not depend on
how the numbers are grouped.
Coefficient: A number multiplied to a variable.
Commutative Property of Addition/Multiplication: In a sum or product, you can add numbers in any
order.
Dependent Events: Events that rely on the value of the independent events.
Equation: A mathematical sentence formed by placing an equal sign (=) between two expressions.
Independent Events: Events for which the occurrence of one event does
not affect the likelihood that
Eight Mathematical Practices
the other event will occur.
Inequality: A mathematical sentence that compares two
unequal expressions.
1. Make sense of problems and persevere in
solving them.
2. Reason abstractly and quantitatively.
Inverse Operation: Operations that “undo” each other, such
as addition and subtraction, or multiplication and division.
3. Construct viable arguments and critique the
reasoning of others.
Solution: The values of a variable that makes a mathematical
sentence or equation true.
5. Use appropriate tools and strategies.
Substitution: To replace the variable with a number.
Common Core State Standards: http://www.corestandards.org/Math
4. Model with mathematics.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated
reasoning.
Self-Evaluation
I can . . .
Before During After
Understand solving an equation or inequality is a process of answering
a question.
Use substitution to determine whether a number makes an equation
or inequality true.
Solve mathematical problems by writing and solving equations.
Solve real-world problems by writing and solving equations.
Write an inequality in a real world or mathematical problem.
Recognize that inequalities have infinitely many solutions.
Represent inequalities with infinite solutions on a number line.
Use variables to represent two quantities in a real-world problem.
Write equations with dependent and independent variables.
Analyze the relationship between the dependent and independent
variables using graphs and tables.
Write equations analyzing the relationship between the dependent
and independent variables.
Score What does this mean?
4
I am an expert that can teach others.
3
I understand it.
2
I can do it with help.
1
I need a lot of help.