Problem Solving
How can you use what you have learned to solve a real-world problem?
Goal:
Goal:
Practice!
Goal: Apply what you have learned about shape attributes to solve a real-world problem.
Let’s apply what you have learned about shapes and their attributes to help Caleb pick out the best box to put his gift in.
Caleb bought Logan a boomerang for his birthday. Caleb wants to pick out a gift box that the boomerang will fit best in. Below are all of the boxes he sees at the store. Which box will the boomerang fit best in? Click through the slides to see the process Caleb uses to find the right gift box.
Shapes of possible gift boxes for the boomerang. A square, a right triangle, a acute triangle, an obtuse triangle, and a rhombus.
Number of Sides
Caleb looks for boxes that are similar in shape to the boomerang.
A boomerang is similar to a triangle. Even though the boomerang has 4 sides like a quadrilateral, the bottom 2 sides point in, making it look more like a triangle. Caleb decides to eliminate the boxes that look like quadrilaterals. He thinks they will have too much extra room in them.
Shapes of possible gift boxes for the boomerang. A square, a right triangle, a acute triangle, an obtuse triangle, and a rhombus. There are x's over the quadrilaterals (square and rhombus)
Length of Sides
Caleb looks at the length of the sides on each box.
Caleb notices that the boomerang has 2 sides that are the same length. If he drew a line across the bottom of the boomerang to make a triangle, that length would be longer than the other 2 sides. He needs a box shaped like an isosceles triangle, where the bottom is longer than the other sides. He eliminates the box that looks like an equilateral triangle, but the bottom is too short.
Shapes of possible gift boxes for the boomerang. A square, a right triangle, a acute triangle, an obtuse triangle, and a rhombus. There are x's over the quadrilaterals (square and rhombus), and the equilateral triangle in the center of the image.
Angles
Finally, Caleb looks at the angles of the remaining boxes to see which box would fit best.
Caleb notices that the top point of the boomerang comes to almost a perfect square corner. That means the boomerang has an angle at the top that is close to a right angle. Caleb decides to choose the box that looks like a right isosceles triangle.
Shapes of possible gift boxes for the boomerang. A square, a right triangle, a acute triangle, an obtuse triangle, and a rhombus. There are x's over the quadrilaterals (square and rhombus), and the equilateral triangle in the center of the image. The obtuse triangle which is the 4th shape from the left is crossed out.
The Final Check
Caleb has made his decision, but he wants to check to make sure he chose the correct box.
Caleb needed a box that had 3 sides. The box needed to have 2 sides that were the same length and 1 side that was longer. The box also needed to have a right angle where the equal sides met. He pulls the box off the shelf and puts the boomerang inside to make sure he was correct.
A right triangle shaped box is perfect fit for the boomerang.
Caleb also made Logan an origami spaceship. Which of the boxes below would the spaceship fit best in?
A rocket ship toy. With many boxes to choose from. A square box, a right angle box, and acute angle box, an obtuse angle box and a rhombus box.
Try to draw an outline around the spaceship as Caleb did with the boomerang.
Try to draw an outline around the spaceship as Caleb did with the boomerang.
Correct! The isosceles triangle would best fit the origami spaceship.
Try to draw an outline around the spaceship as Caleb did with the boomerang.
Try to draw an outline around the spaceship as Caleb did with the boomerang.
Try to draw an outline around the spaceship as Caleb did with the boomerang.
Summary
Questions answered correctly:
Questions answered incorrectly: