N 8.1 f estimating square roots

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Lesson Plan Course: Math 8
Resource(s):Pearson, SMARTboard
Big Mathematical Idea: Number sense, logical thinking
Indicators that will be met
Learning Outcome(s)
f) Apply estmation strategies to determine
approximate values for principle square roots
N8.1 Demonstrate an understanding of the
square root and principle square root of
whole numbers concretely or pictorially and
symbolically
Learning
Target: Students will be able to: Estimate square roots by: finding the nearest whole
number (by finding the nearest perfect square), estimating the root to the nearest tenth, and
estimating using a calculator
Math processes:
Differentiate: Some students may work with
Communication, representation, reasoning,
smaller numbers. Some students may use
mental math and estimation
only their calculator
Extensions/enrichment:
Technology Required? SMARTboard,
Calculators
Teaching materials: Handouts,
manipulatives?
Lesson Outline:
Prerequisite Knowledge: Understood or requires review? Advance planner?
Adv Planner: I can: Estimate square roots by: finding the nearest whole number (by finding
the nearest perfect square), estimating the root to the nearest tenth, and estimating using a
calculator
Prereq:
What is a square number? How do you know? Do we know the square roots of all numbers up
to 144?
Set? Trying to model a square for an area that is not a perfect square
1
Development
1) Entrance slip: There are three different ones.
2) Square tiles: I have a square rug with Area of 25. Can you make me a model? Can you
tell me how long each side is? Therefore, the square root of 25 is? Symbolically:
20  5
5  5  25
Do we understand the connection of these symbols?
Now, what if I have a square rug and the Area is 20? Can you make me an area mode?
20 is?
Without your calculator, how big do you think
3) Partner Talk: without your calculator, take your best guess at 20 . Justify your
answer. I am listening for mathematical terminology, dialogue, and how you express
your reasoning.
4) Try another one. Is
did you decide?
5) SMARTboard lesson
45 a perfect square?
What would its value be close to? How
Actions: (Model, group, pair, individual guided practice)
Summary: (exit slip? ) Printed summary
2
Formative Assessment
Assignment/homework
Entrance slip
Reflection?
Notes:
http://www.aplusmath.com/flashcards/sqrt.html
3
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