Unit 1: Radicals and the Pythagorean Theorem

Meece Middle School

Mrs. Robin Crawford

Unit 1: Radicals and the Pythagorean Theorem

Class: Accelerated Math Grade: 7 Days in Unit: 8 days

Objective:

Make reasonable approximations of square roots and mathematical expressions that include square roots, and use them to estimate solutions to problems and to compare mathematical expressions involving real numbers and radical expressions.

Time / Lesson and Topic / Standard / Learning Target / Vocabulary / Resources
1 day / 12. Finding Square Roots / 8.EE.2 / I can:
find the square root of a perfect square.
evaluate expressions involving square roots.
use square roots to solve an equation / Square root
Perfect square
Radical sign
radicand / Day 1:
Journal: how to find the root of a perfect square versus a non-perfect square and plotting them on a number line.
Brainpop video.
Lesson 12.1 Practice A
Time / Lesson and Topic / Standard / Learning Target / Vocabulary / Resources
2 day / 12.2 Angles and Sides of Triangles. / 8.G.6
8.G.7 / I can:
provide a geometric proof of the Pythagorean Theorem.
use the Pythagorean Theorem to find a missing side length of a right triangle.
use the Pythagorean Theorem to solve real-life problems. / Hypotenuse
Legs / Day 1
Journal: find the length of a hypotenuse and a leg.
Activity: Thoughtful Ed: provinf Pythagorean theorem
Lesson 12.2 Practice A
Day 2
Journal: Review Notes.
Brainpop video
12.2 Practice B
1 day / 12.1-12.2 / Standards associated with these lessons / All standards associated with these lessons / All vocabulary within these lessons / Quiz
1 Day / 12.3 Approximating Square Roots / 8.EE.2
8.NS.1
8.NS.2 / I can:
define an irrational number.
approximate the size of an irrational number.
approximate the value of an expression involving an irrational number *estimate a square root. / Irrational
Real number / Day 1
Journal: Define vocabulary and draw a diagram of types of number classification. Practice approximating and comparing square roots.
Time / Lesson and Topic / Standard / Learning Target / Vocabulary / Resources
2 days / 12.4 Simplifying Square Roots / 8.NS.2 / I can:
simplify expressions involving square roots.. / Cube root
Perfect cube / Day 1:
Journal: How to simplify square roots.
12.4 Practice A
Day 2
12.4b.:
Journal: Define vocabulary and practice.
12.4b practice a
2 Days / 12.5 Using the Pythagorean Theorem / 8.G.6
8.G.7
8.G.8 / I can:
use the Pythagorean Theorem to find a distance in a coordinate plane.
use the Pythagorean Theorem to solve real-life problems.
use the converse of the Pythagorean Theorem to identify right triangles. / Pythagorean triple / Day 1:
Journal: examples of finding a distance in coordinate plane, and identifying a right triangle
Activity: Draw and label each of the types with your partner.
12.5 Practice A
Day 2
Journal: review
12.5 practice B
1 day / 12.3-12.5 / Standards associated with these lessons / All standards associated with these lessons / All vocabulary within these lessons / Quiz
Review Packet
1 day / Review for UnitTest / All / All / All / Check Review Packet
jeopardy
1 day / Test over Unit / All / All / All / CIITS test and Extended response

Page 3 of 4