MATHEMATICS
While the question of whether Christopher Columbus is a hero or a villain will be discussed is all of our classes. In mathematics we will not be as focused on the intricacies of this question but rather we will dive into the story of Christopher Columbus and look at the distances sailed and traveled in mathematical ways.
We will be exploring the Pythagorean Theorem and using it to calculate distances sailed across water and distances traveled on land using maps and figures similar to the picture at the right. In order to do so accurately, learners will have to not only be able to apply the Pythagorean Theorem but also be able to find and provide what is needed in order for this Theorem to work.
In addition to Pythagorean Theorem we will also discuss using the distances traveled across the Atlantic to calculate the volume of the Earth. A question Columbus and many other explorers wanted to know in this time
We will be exploring the Pythagorean Theorem and using it to calculate distances sailed across water and distances traveled on land using maps and figures similar to the picture at the right. In order to do so accurately, learners will have to not only be able to apply the Pythagorean Theorem but also be able to find and provide what is needed in order for this Theorem to work.
In addition to Pythagorean Theorem we will also discuss using the distances traveled across the Atlantic to calculate the volume of the Earth. A question Columbus and many other explorers wanted to know in this time
Math Standards addressed:
Understand and apply the Pythagorean Theorem.
CCSS.MATH.CONTENT.8.G.B.6
Explain a proof of the Pythagorean Theorem and its converse.
CCSS.MATH.CONTENT.8.G.B.7
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
CCSS.MATH.CONTENT.8.G.B.8
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
CCSS.MATH.CONTENT.8.G.C.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
Understand and apply the Pythagorean Theorem.
CCSS.MATH.CONTENT.8.G.B.6
Explain a proof of the Pythagorean Theorem and its converse.
CCSS.MATH.CONTENT.8.G.B.7
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
CCSS.MATH.CONTENT.8.G.B.8
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
CCSS.MATH.CONTENT.8.G.C.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.