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OAT Lesson 14: Write Expressions Where Letters Stand for Numbers

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Last updated about 3 years ago
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Lesson Synthesis: - (10 min)

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Develop Understanding

Today's Learning Goal: (G6, U6, L6)

  • Explain (orally) how to create and solve an equation that represents a situation with an unknown amount.

  • Write an expression with a variable to generalize the relationship between quantities in a situation.

Today's Materials:

  • Laptop

  • Laptop charger

  • Pen/Pencil/Paper/Expo Marker (optional)

Please complete the Jump Start (activator). You have 5 minutes before we review. This is independent it should be silent.

Reminders:

1. Ready for class

2. No cellphones

3. Volume must be low.

4. Read and follow all directions

5.) Take your bag off and immediately begin the Activator.

JUMP START: Algebra Talk: When x is 6 - ( 5min)

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1.

If x is 6, what is:

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2.

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3.

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Launch: - (10 min)

I do (question

We do (question

You do (question)

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5.

Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon.

How long is the red ribbon if the length of the blue ribbon is 10 inches?

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6.

Tyler has 3 times as many books as Mai.

How many books does Mai have if Tyler has 15 books?

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7.

A bottle holds 24 ounces of water. It has x ounces of water in it.

What does 24 - x represent in this problem?

Activity 1: Lemonade Sales and Heights - (10 min)

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8.

Lin set up a lemonade stand. She sells the lemonade for $0.50 per cup.

Complete the table to show how much money she would collect if she sold each number of cups.

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9.

How many cups did she sell if she collected $127.50? Be prepared to explain your reasoning.

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Activity 2: Building Expressions

(15 min)

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Two-fifths of the vegetables in Priya’s Garden are tomatoes.

How many tomatoes are there if Priya’s Garden has:

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A school paid $31.25 for each calculator.

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Today we seen examples of different kind of expressions.

We also learned how to translate verbal and algebraic expressions.

Example:

I have half as many books as your friend, and you have 130 books. Your friend's number of books is the unknown quantity, let’s call it b.

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23.

Create a story similar to situations seen in class and create an equation that represents the story. Be sure to explain what your unknown quantity represents.

Cool Down: Crazy Eights - (5 min)

A plant measured x inches tall last week and 8 inches tall this week

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24.

Select the expression that represents the number of inches the plant grew this week. Explain how you know.

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25.

For the expression not chosen, describe a situation that the expression might represent.

Closure Questions:

  • What is the difference between an expression and an equation?

  • Translate this verbal expression into an algebraic equation.

I had x amount of dollars last week. This week I made $10 more dollars. Now I have $50. How much money I had last week?

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4.

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10.

Elena is 59 inches tall. Some other people are taller than Elena.

Complete the table to show the height of each person.

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11.

If Noah is 64 3/4 inches tall, how much taller is he than Elena?

Clare is 5 years older than her cousin.

How old would Clare be if her cousin is:

(Hint: Create a representation i.e., an equation)

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12.

10 years?

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13.

2 years?

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14.

x years?

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15.

Clare is 12 years old. How old is Clare’s cousin?

Diego has 3 times as many comic books as Han.

How many comic books does Diego have if Han has:

(Hint: Create a representation i.e., an equation)

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16.

6 comic books?

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17.

n books?

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18.

20 vegetables?

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19.

x vegetables?

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20.

Priya’s garden has 6 tomatoes. How many total vegetables are there?

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21.

If the school bought x calculators, how much did they pay?

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22.

The school spent $500 on calculators. How many did the school buy?