Lesson Seed 7.EE.B.3 Multi-Step Situation Cards
(Lesson seeds are ideas for the domain/cluster/standard that can be used to build a lesson.
An effective lesson plan requires more components than presented in a lesson seed.)
Domain: Expressions and EquationsCluster: Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard: 7.EE.B.3 – Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically; apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
Purpose/Big Idea:
· Use the situation cards to develop strategies that solve multi-step real-life mathematical problems. Include in your focus the application of the properties of operations and converting rational numbers into the same form.
Materials:
· Situation cards
Activity:
· Have student groups work through each situation card while recording the steps involved in their solutions. Ask student groups to justify and defend their solutions with another group.
Guiding Questions:
· Which situations did you find most difficult to solve and why?
· Can you tell me a solution that you found unusual?
· Which problems used similar strategies for their solution?
You are hanging a painting on a wall in your living room. The wall is 1212 feet wide and the picture with its frame is 1034 inches wide. The edge of the frame needs to be 4 feet from one end of the wall.
1. At what location on the wall should you place the nail to ensure that the edge of the framed painting is hanging 4 feet from the end of the wall?
2. What is the length of the wall that is uncovered between the second edge of the frame and the other end of the wall? / /
You are designing an invitation on a piece of paper that is 812 by 11 inches and has a design printed on 1 34 inches on the left and right sides of the paper. How much room
is left for your invitation details?
Note: drawing not to scale
Your boss decides that you are doing a GREAT job at work. He currently pays you $6.00 per hour. However he is going increase your pay by 120%.
1. What is the exact amount of your pay increase?
2. What will be new hourly rate?
/
Five people work on a crew. They all earn the same hourly wage, except the crew leader who received a $2 hourly bonus. Together, the crew earned a total of $59.45 in one hour. Calculate how much each person receives each hour.
You have been asked to bake 12 dozen cookies for a school bake sale. The cookie recipe you want to use makes two batches of cookies, with 18 cookies in each batch.
The recipe calls for 2 14 cups of flour. How much flour do you need to make 12 dozen cookies? / The community flower garden is so beautiful that members of the community want to increase it by 20%. It is currently 512 yards long and 223 yards wide. Determine what the new area of community flower garden will be.
A plumber buys the following at the hardware store:
· 6 pipe elbows that cost $1.29 each
· 2 packages of plumbers’ tape that cost $2.34 each
· 3 water pressure valves that cost $0.68 each
· 1 eight foot pvc pipe that cost $5.50 each
The plumber also has to pay 6% sales tax on his purchase. Use the properties of operations to calculate the total cost for this plumber.
/ The local schools’ energy consumption must be reduced by 15 . Currently, the school is using 139.5 watts per classroom each day. How much energy needs to be saved daily in each classroom?
ANSWER KEY
You are hanging a painting on a wall in your living room. The wall is 1212 feet wide and the picture with its frame is 1012 inches wide. The edge of the frame needs to be 4 feet from one end of the wall.
1. At what location on the wall, in feet, should you place the nail to ensure that the edge of the framed painting is hanging 4 feet from the end of the wall? 4716 feet (5314 inches)
2. How many feet of the wall that is uncovered between the other edge of the frame and the other end of the wall? 758 feet (91 12 inches) / /
You are designing an invitation on a piece of paper that is 812 by 11 inches and has a design printed on 1 34 inches on the left and right sides of the paper.
1. How much room is left for your invitation details? 5 inches by 11 inches
2. Explain how you determined your answer.
Note: drawing not to scale
Your boss decides that you are doing a GREAT job at work. He currently pays you $6.00 per hour. However he is going increase your pay by 120%.
1. What is the exact amount of your pay increase? $7.20
2. What will be new hourly rate? $13.20
/
Five people work on a crew. They all earn the same hourly wage, except the crew leader who received a $2 hourly bonus. Together, the crew earned a total of $59.45 in one hour. Calculate how much each person receives each hour. Leader: $13.49 Crew Members: $11.49 each
You have been asked to bake 12 dozen cookies for a school bake sale. The cookie recipe you want to use makes two batches of cookies, with 18 cookies in each batch.
The recipe calls for 2 14 cups of flour. How much flour do you need to make 12 dozen cookies? 9 cups / The community flower garden is so beautiful that members of the community want to increase it by 20%. It is currently 512 yards long and 223 yards wide. What will be the area of the new, increased community flower garden?
1735 yards
A plumber buys the following at the hardware store:
· 6 pipe elbows that cost $1.29 each
· 2 packages of plumbers’ tape that cost $2.34 each
· 3 water pressure valves that cost $0.68 each
· 1 eight foot pvc pipe that cost $5.50 each
The plumber also has to pay 6% sales tax on his purchase. Use the properties of operations to calculate the total cost for this plumber. $21.16
(1.29 x 6) + (2.34 x 2) + (0.68 x 3) + 5.5 = 19.96
19.96 x 1.06 = 21.1576 / The local schools’ energy consumption must be reduced by 15 . Currently, the school is using 139.5 watts per classroom each day. How much energy needs to be saved daily in each classroom? 27.9 watts per classroom
Page 1 of 1