Problem Solving
How can you use what you’ve learned to solve a real-world problem?
Goal:
Goal:
Practice!
Goal: Apply what you’ve learned in this lesson to solve a real-world problem.
Daniel wants to build a carrying case for his 8 race cars. Click through the slides to see how Daniel chooses the best options for his carrying case.
8 different race cars, a blue car, a black car with yellow
stripes and a large spoiler, a red car with a black roof and a
medium spoiler, a purple car, a black car, a yellow car, a blue
convertable car, and a red car.
Shape of the Case
Daniel decides on the shape he wants for his carrying case.
The first thing Daniel needs to figure out is the shape that he wants for his case. Daniel draws out a few different options: a square, a rectangle, a circle, and an octagon.
A rectangle, a square, a circle and a octagon
Partitioned Shapes
Daniel partitions each shape into 8 equal sections.
Next, Daniel partitions each shape into 8 equal parts. He wants to see which shape will hold the cars the best.
A rectangle partitioned into 8 equal parts, a square
partitioned into 8 equal parts, a circle partitioned
into 8 equal parts, an octagon partitioned into 8 equal
parts.
Elimination Time
Daniel eliminates designs that do not work.
Daniel wants to build a case that will hold his cars securely. He doesn’t want them rolling around. He wants his cars to fit snugly in each part without having a lot of room to move. He decides to eliminate the circle and octagon designs because their parts are triangular, which means his cars would have room to bounce around.
A rectangle partitioned into 8 equal parts, a square
partitioned into 8 equal parts, a circle partitioned
into 8 equal parts, an octagon partitioned into 8 equal
parts. The circle and the octagon are crossed out as
they his cars would have room to bounce around.
Visualizing
Daniel imagines which of the remining shapes will hold the cars better.
Daniel examines the partitioned rectangle and square. He tries to imagine putting his cars in each one to decide which one will hold the cars better.
A rectangle partitioned into 8 equal parts, a square
partitioned into 8 equal parts, each partitioned area of
both the rectangle and the square have a car fit inside
them to hold the cars.
Best Fit
Daniel chooses which shape he will use to build his case.
Daniel thinks that the rectangular case will leave too much room for the cars to move around in. He decides to build the square case for his race cars.
A rectangle partitioned into 8 equal parts, a square
partitioned into 8 equal parts, each partitioned area of
both the rectangle and the square have a car fit inside
them to hold the cars. The rectangle is crossed out. The
square is the correct choice.
Daniel found 2 more cars. He now has a total of 10 cars. He decides to switch to a rectangular case. Which of these cases would work for Daniel's 10 cars?
The correct case should be partitioned into 10 equal parts.
The correct case should be partitioned into 10 equal parts.
Correct! The rectangle is partitioned into 10 equal parts.
Summary
Questions answered correctly:
Questions answered incorrectly: