1. !!!
Oh MY!
What’s on the test ?
!!
Squared Numbers / Pythagorean Theorem Review
We are at that that time in our unit where I will be assessing your progress in the form of
a test. Your test will be graded based on our new system of assessment: !
1(working below), 2(emerging thinking), 3(meeting) or a 4(exceeding) for each of!
the 4 content subjects below. Use this list of criteria to properly gage your!
review. Remember math students are always expected to: demonstrate their!
knowledge of content, show step-by-step detail of their problem solving and to!
communicate their thinking to the reader as if they have no math background.
Lingley Math 8
When? Monday,
October 20th, 2014
Concept 3 (Meeting) 4 (Exceeding)
Evaluate square roots and
square numbers.
* Multiply numbers from 1 to 12 by
themselves in order to obtain
square numbers as products. !
* Understanding how squaring a
number and a square root are
opposite operations.
* Square whole numbers from greater
than 12 in order to obtain square
numbers as products. !
* Complete complex equations using
multiple square roots and
exponents. !
* Numbers ending in 1, 4, 5, 6, 9, 00
are sometimes square. !
* Prime Factorization
Approximation of Square Roots. * Evaluate the approximation of a
square root to one decimal place,
and provide proof for your answer
by multiplying. !
* Identify which two consecutive
square numbers a value lies
between.
* Adjusting the approximation of a
square root value to more than one
decimal place. !
* Simplification of a non-square
number using radical form. Ex: √75 =
5√3 (Factor out the square root)
Find the missing length of a
Right Angle Triangle (RAT)
using the Pythagorean
Theorem.
* Show visual evidence of
understanding that the PT
indicates that the sum of the
areas around legs equals the area
around the hypotenuse. !
* Solving for an unknown side
length in a RAT that is not the
hypotenuse by use of subtraction. !
* Approximation of square roots.!
* Proper units are used.
* Solve a question that involves an
application of multiple pythagorean
theorems. !
* Final Answers are as precise as
possible. Ex: Two-digits after the
decimal for approximations rather
than one.
Proper use of Pythagorean
Triples.
* Understand that the smallest
PTriple appears in a RAT with
side lengths that measure 3,4,5. !
* Multiples of 3,4,5 will also yield a
right angle triangle. !
* Given specific side lengths,
determine if a triangle is a right
angle triangle.
* Determine the missing value in a
pythagorean triple. !
* Given larger specific side lengths,
determine if a triangle is a right
angle triangle.
1
2
3
4
2. !!!
Find the missing side lengths in these right angle triangles. !
!
!!!!!!!
?
√20 cm ?
Approximate the following squared roots: √15 , √57 , √72 , √125 —> Try
simplifying the last two square roots using radical simplification. Ex: √27 = 3√3 !
!
Using Prime factorization, find √324 and √625!
!
Suppose you were given these numbers that represent the side lengths of a right
angle triangle: 46, 88, 110. Explain how you would identify the hypotenuse. !
!
The first two numbers in a pythagorean triple are 32 and 24. What is the third and
largest number in this triple? !
!
Sarah constructed a triangle with side lengths that measure 9, 30 and 35. She
wants to know if this is a right angle triangle. How can you prove to her that she
is correct in her thinking or incorrect. !
!
On grid paper, draw a line that measures √25 units long. !
!
During Hurricane Arthur, many trees in downtown Fredericton snapped. The
vertical line to the right represents the tree still standing and the diagonal
represents the broken top of the tree. What was the original height of the
tree? !
!
Find the perimeter of the triangle below. !
Lingley Math 8
How do I prepare for this test?
Review Video Tutorials on Wikispace
Review Math Journal Notes from Class
Do review problems on back of sheet
Text book Review
Extra Help Friday 12:25
Review Questions
1
5 cm
12 cm
5 cm
11 cm
?
4 cm
?
12
4√13
2
3
4
5
6
7
6 m
2 m
8
9
5 u
12 u
15 u
