Unit 6
Equations & Inequalities
Equations & Inequalities
Intro:
As you practice solving equations, you will need to have several tools in your mathematical toolbelt to help you along the way.
One of these tools is called inverse operations.
Let's say we had a unknown number of oranges in a box.
One of these tools is called inverse operations.
Let's say we had a unknown number of oranges in a box.
We don't know how many oranges there are inside Box X,
but I do know that if I set up the equation balance like this,
with three extra oranges next to the X and 12 on the other side...
but I do know that if I set up the equation balance like this,
with three extra oranges next to the X and 12 on the other side...
...it stays balanced.
So how many oranges are inside the box?
What did you do to find the answer?
Scroll down to see if you are right.
So how many oranges are inside the box?
What did you do to find the answer?
Scroll down to see if you are right.
There are nine oranges inside the box.
The trick is to get the variable alone by using the opposite operation, keeping both sides balanced.
The opposite of addition is subtraction, so we subtracted three oranges from both sides.
The trick is to get the variable alone by using the opposite operation, keeping both sides balanced.
The opposite of addition is subtraction, so we subtracted three oranges from both sides.
Classwork & Homework:
-- EngageNY
State Test Practice:
California Standards:
CCSS.Math.Practice.MP2 Reason abstractly and quantitatively.
CCSS.Math.Practice.MP7 Look for and make use of structure.
CCSS.Math.Content.6.EE.B.5
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
CCSS.Math.Content.6.EE.B.6
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
CCSS.Math.Content.6.EE.B.7
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
CCSS.Math.Practice.MP7 Look for and make use of structure.
CCSS.Math.Content.6.EE.B.5
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
CCSS.Math.Content.6.EE.B.6
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
CCSS.Math.Content.6.EE.B.7
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.