Algebra
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Unit 1: Foundations for Algebra
Lesson 1.1: Variables & Expressions
Let's start the class with some questions:
What is there to know?
What is unknown? How can we know it?
What is there yet to be known?
We represent the unknown with a variable.
Consider the following jar of coins:
How much money is in this jar? We can solve this problem by defining new variables. We define a new variable with the powerful word "Let:" Let T = the total number of dollars and cents in this jar. T is what I really want to know. In order to find the total amount, I will need to define new variables that make up T. Let q = the number of quarters in this jar Let d = the number of dimes in this jar Let n = the number of nickels in this jar Let p = the number of pennies in this jar |
If you wrote T = 0.25q + 0.10d + 0.05n + 0.01p, you are right!
So. how much is there in the jar in reality?
Let's let Coinstar robot do the counting work:
So. how much is there in the jar in reality?
Let's let Coinstar robot do the counting work:
We can write this with algebra:
Classwork & Homework:
Standards:
CCSS.Math.Content.HSA.SSE.A.1
Interpret expressions that represent a quantity in terms of its context.
CCSS.Math.Content.HSA.SSE.A.1.a
Interpret parts of an expression, such as terms, factors, and coefficients.
Interpret expressions that represent a quantity in terms of its context.
CCSS.Math.Content.HSA.SSE.A.1.a
Interpret parts of an expression, such as terms, factors, and coefficients.