EE.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.
warm-up
1) Smith has p small balloons and 20 big balloons. Write the expression that shows how many balloons Smith has.
2) Johnson has 19 bowls of ice cream. He gives away d ice cream bowls. Write the expression that shows the number of ice cream bowls that are left.
3) Kim bought a purse (p). Then she went to the market and bought 16 more purses. Write the expression that shows how many purses Kim has now.
4) Jones planted s flowers. He planted fewer flowers than Kerry. Kerry
planted 50 flowers. Write the expression that shows how many flowers Jones
planted.
2) Johnson has 19 bowls of ice cream. He gives away d ice cream bowls. Write the expression that shows the number of ice cream bowls that are left.
3) Kim bought a purse (p). Then she went to the market and bought 16 more purses. Write the expression that shows how many purses Kim has now.
4) Jones planted s flowers. He planted fewer flowers than Kerry. Kerry
planted 50 flowers. Write the expression that shows how many flowers Jones
planted.
mini lesson - independent work/share out/discussion
Pick one question per group to solve:
Group #1
1) Write an expression to represent Susan’s age in three years, when a represents her present age.
2) Write an expression to represent the number of wheels, w, on any number of bicycles.
3) Write an expression to represent the value of any number of quarters, q.
Group #2
4) The skating rink charges $100 to reserve the place and then $5 per person. Write an expression to represent the cost for any number of people.
5) Maria has three more than twice as many crayons as Elizabeth. Write an algebraic expression to represent the number of crayons that Maria has.
6) An amusement park charges $28 to enter and $0.35 per ticket. Write an algebraic expression to represent the total amount spent.
Group #3
7) Andrew has a summer job doing yard work. He is paid $15 per hour and a $20 bonus when he completes the yard. He was paid $85 for completing one yard. Write an equation to represent the amount of money he earned.
8) Describe a problem situation that can be solved using the equation 2c + 3 = 15; where c represents the cost of an item.
9) Bill earned $5.00 mowing the lawn on Saturday. He earned more money on Sunday. Write an expression that shows the amount of money Bill has earned.
Group #1
1) Write an expression to represent Susan’s age in three years, when a represents her present age.
2) Write an expression to represent the number of wheels, w, on any number of bicycles.
3) Write an expression to represent the value of any number of quarters, q.
Group #2
4) The skating rink charges $100 to reserve the place and then $5 per person. Write an expression to represent the cost for any number of people.
5) Maria has three more than twice as many crayons as Elizabeth. Write an algebraic expression to represent the number of crayons that Maria has.
6) An amusement park charges $28 to enter and $0.35 per ticket. Write an algebraic expression to represent the total amount spent.
Group #3
7) Andrew has a summer job doing yard work. He is paid $15 per hour and a $20 bonus when he completes the yard. He was paid $85 for completing one yard. Write an equation to represent the amount of money he earned.
8) Describe a problem situation that can be solved using the equation 2c + 3 = 15; where c represents the cost of an item.
9) Bill earned $5.00 mowing the lawn on Saturday. He earned more money on Sunday. Write an expression that shows the amount of money Bill has earned.
team challenge
Firefighter Allocation
A town's total allocation for firefighter's wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter, write an equation whose solution is the number of firefighters the town can employ if they spend their whole budget. Solve the equation.
A town's total allocation for firefighter's wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter, write an equation whose solution is the number of firefighters the town can employ if they spend their whole budget. Solve the equation.