An expression is a mathematical phrase that combines numbers, variables, and operation symbols (+, –, ×, ÷) but does NOT contain an equal sign (=).

An expression is like an incomplete sentence (phrase) in language.

A variable is a letter that represents an unknown value or values.

Use parentheses when you want to do something first. For example:

A movie ticket costs $9 and a large popcorn costs $7. Write an expression for the total cost for x friends to each get a ticket and one popcorn.

Use parentheses to find the sum of 9 and 7. Then, you would multiply by the unknown number of friends (f)

* DO NOT USE x for multiply. Use a dot or parentheses or a variable next to a number

1. Check-your-understanding questions:

Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.

2. Make sure that you have notes in your math notebook (things to remember)

3. If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search

After completing the Check-your-understanding questions, which were important for everyone to do?

Pick one problem that you did and show your work to you neighbor.

On the blank side, write: First name, last name, U7T1

A group of 4 teachers goes to the fair. They split the cost of a $20 parking pass and each buy a wristband for w dollars. Write an expression for the cost per teacher.

As mathematicians, we want to:

1. Identify parts of an expression using the correct math vocabulary

2. Learn to look at the parts of an expression in different ways

3. Watch for the phrases 'less than' and 'more than' (switch phrases)

4. Write multiplication like this: 3•f or 3(f) or 3f

Who is right?

Let's use our 4-steps to show why the students were correct?

1. Check-your-understanding questions:

Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.

2. Make sure that you have notes in your math notebook (things to remember)

3. If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search

U7T1 Entry Ticket

A group of 4 teachers goes to the fair. They split the cost of a $20 parking pass and each buy a wristband for w dollars. Write an expression for the cost per teacher.

20 ÷ 4 + w

5 + w

(20 + 4w) ÷ 4

After completing the Check-your-understanding questions, which were important for everyone to do?

Pick one problem that you did and show your work to you neighbor.

An exponent tells you how many times to multiply the base.

5³ = 5 ⋅ 5 ⋅ 5

Do ALL: p445: 1, 2, 3, 4, 5, 6, 7, 8; p447: 18, 19, 20, 21, 22, 23 (Volume 2, Ch6-2)

Rewrite the expression (without the equals sign). Evaluate (simplify) using the four steps: P. E. DM (L-R). SA (L-R). Work your way down. Circle your answer.

Before moving to the next problem, check your answer. If you got it right, move on. If not, fix your mistake and/or ask for help.

After completing the Extend questions, which were important for everyone to do?

Pick one problem that you did and show your work to you neighbor.

On the blank side, write: First name, last name, U7T2

You buy 10 candy bars for $0.50 each. They are on sale for "Buy 4 get 1 free." For 10 bars, you pay for 8. You also buy a soda for $1.50.

Simplify: (10 - 2) • 0.5 + 1.5

1. Check-your-understanding questions:

Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.

2. Make sure that you have notes in your math notebook (things to remember)

3. If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search

U7T2 Entry Ticket

After completing the Check-your-understanding questions, which were important for everyone to do?

Pick one problem that you did and show your work to you neighbor.

On the blank side, write: First name, last name, U7T3

Allowance: You get $18 per week minus $2 for every chore missed (c). Evaluate 18 - 2c for c = 3.

1. How to read (smaller) exponents:

5² is read "five to the power of two" OR "five squared"

6³ is read "six to the power of three" OR "six cubed"

2. Key vocabulary reminder:

Sum: answer to an addition problem

Difference: answer to a subtraction problem

Product: answer to a multiplication problem

Quotient: answer to a division problem

Expressions are equivalent when they name the same number regardless of which value is substituted into them

Example:

y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for

1. Check-your-understanding questions:

Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.

2. Make sure that you have notes in your math notebook (things to remember)

3. If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search