MATH 8
NAME _________________________________________
Unit 1 Square Roots and Pythagorean Theorem
1.
Demonstrate an understanding of perfect square and square root, concretely, pictorially and
symbolically (limited to whole numbers).
A
B
C
D
E
2.
Determine the approximate square root of numbers that are not perfect squares (limited to
whole numbers).
A
B
C
D
3.
Represent a given perfect square as a square region using materials such as grid paper
or square shapes.
Determine whether or not a given number is a perfect square using materials and
strategies, such as square shapes, grid paper or prime factorization, and explain the
reasoning.
Determine the factors of a given perfect square, and explain why one of the factors is a
square root and the others are not.
Determine a square root of a given perfect square and record it symbolically.
Determine the square of a given number
Estimate, or approximate, a square root of a given number that is not a perfect square
using the roots of perfect squares as benchmarks.
Identify a whole number whose square root lies between two given numbers.
Approximate a square root of a given number that is not a perfect square using
technology, e.g., calculator, computer.
Explain why a square root of a number shown on a calculator may be an approximation.
Develop and apply the Pythagorean theorem to solve problems.
A
Model and explain the Pythagorean theorem concretely, pictorially or using technology.
B
Determine the measure of the third side of a right triangle, given the measures of the
other two sides, to solve a given problem.
C
Explain, using examples, that the Pythagorean theorem applies only to right triangles.
D
Determine whether or not a given triangle is a right triangle by applying the
Pythagorean theorem
E
Solve a given problem that involves Pythagorean triples, e.g. 3, 4, 5 or 5, 12, 13
F
Solve a given problem involving the division of integers (2-digit by 2-digit) with the use
of technology.
G
Identify the operation required to solve a given problem involving integers.
H
Solve a given problem involving integers taking into consideration order of operations.
Name: ________________________________________________________
Read and study the introduction to each section of the chapter. As you complete a
question cross it off. This will give you a quick overview of what you have completed.
Section
Page(s)
1.1
1.2
1.3
1.4
Mid Rev
1.5
1.6
1.7
Unit Rev
6-10
11-16
17 - 21
22 - 27
30
31 - 36
39 - 45
46-51
54-57
Assigned work
Page
Questions
8-10
4, 5, 7, 8, 9, 10, 11, 12, 13, 16, 19, 20
15 - 16 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 22
20 - 21 8, 10, 12
25 - 27 4, 5, 7, 8, 9, 11, 12ae, 13, 15, 16, 17, 19, 20, 22, 23
30
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
34 - 36 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
43 - 45 4,6(a)(c)(e),7(a)(c)(e),8,9,10,13,14,
49-51
6,7,8,9,10,13,15,16,17,19,20*
54-57
2,4(d),5,6(i)(ii),7,8,10,12,13(a)(c)(e),16,18(a)(b),20,
22(a)(c),24,25