Critical Thinking: Use the Pythagorean Theorem to approach and solve complex geometric problems.
Communication: Clearly explain the principles of the Pythagorean Theorem and its applications through problem-solving demonstrations.
Adaptive Perseverance: Persist in applying the theorem to various scenarios, refining approaches as necessary.
How can we use the Pythagorean Theorem to solve problems?
Why are inverse operations helpful when solving problems?
What are irrational numbers and where do we find them in the Real World?
Students will be able to…
Calculate the area of a triangle
Explain the meaning of square roots
Write the side length of area of a triangle using square root notation
Approximate square roots as a decimal
Plot square roots on a number line
Identify which two whole numbers a square root is between
Explain the meaning of a cube root
Identify the two whole numbers a cube root is between
Explain what the Pythagorean Theorem says
Explain why the Pythagorean Theorem is true for every right triangle
Use the Pythagorean Theorem to find unknown side lengths in right triangles
Identify the hypotenuse and legs in a right triangle
Explain the converse of the Pythagorean Theorem
Determine whether a triangle is right or not given its side lengths
Use the Pythagorean Theorem to solve problems
Calculate the distance between two points in the coordinate plane
Give examples of rational and irrational numbers
Write a fraction as a repeating decimal and vice versa
8.NS.A - Know that there are numbers that are not rational and approximate them using rational numbers
8.NS.A.1 - Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion.
8.G.B - Understand and apply the Pythagorean Theorem
8.G.B.6 - Explain a proof of the Pythagorean Theorem and its converse
8.G.B.7 - Apply the Pythagorean Theorem to determine unknown side lengths in right triangles
8.G.B.8 - Apply the Pythagorean Theorem to find the distance between two points on the coordinate plane
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