Download UNIT 1 – RATIONAL NUMBERS M. Maltby Ingersoll

MATH 9 SKILLS CHECKLIST
UNIT 1 – RATIONAL NUMBERS
M. Maltby Ingersoll
NAME:_____________________________
GENERAL CURRICULUM OUTCOME (GCO):
Numbers (N) – Develop number sense.
SPECIFIC CURRICULUM OUTCOMES (SCOs):
N3 and N4
_____ 1.
(N3)
Demonstrate an understanding of rational numbers by:
*
comparing and ordering rational numbers
*
solving problems that involve arithmetic operations on rational numbers
ACHIEVEMENT INDICATORS:
_____
Order a given set of rational numbers, in fraction and decimal form, by placing them on a number
line.
Ex.:
Sketch a number line, mark the following rational numbers on it and order the numbers in
descending order.
–2.25,
5
1
, –1.5,  , 0.9
8
4
ANSWER:
Descending order:
_____
1
8
, 0.9,  , –1.5, –2.25
Identify a rational number that is between two given rational numbers.
Ex.:
5
13
8
8
Write 3 rational numbers between and
ANSWER:
_____
5
4
3
4
.
6
7
8
8
8
8
(𝑐𝑜𝑚𝑒𝑠 𝑓𝑟𝑜𝑚 ), and 1 (𝑐𝑜𝑚𝑒𝑠 𝑓𝑟𝑜𝑚 ).
Solve a given expression involving operations on rational numbers in fraction form and decimal
form.
Ex.:
=
=
-4.5 + 5.1 ÷ 1.7
-4.5 + 3
-1.5
5
Ex:
6
=
=
=
=
_____ 2.
(N4)
5
6
5
6
+
2
3
1
× (− )
2
−2
+( )
6
−
2
6
3
6
1
2
Explain and apply the order of operations, including exponents, with and without
technology.
ACHIEVEMENT INDICATORS:
_____
Solve a given problem by applying the order of operations without the use of technology.
5
Ex.:
6
=
=
=
=
5
6
5
6
3
6
1
2
+
2
3
1
× (− )
2
−2
+( )
6
−
2
6
_____
Solve a given problem by applying the order of operations with the use of technology.
9.6×12.6−5.1÷(−1.7)−0.6
Ex.:
(−5.2)÷1.3−(−6.5)
=
=
=
=
=
_____
120.96−(−3)−0.6
(−4)−(−6.5)
120.96+3−0.6
(−4)+6.5
123.96−0.6
2.5
123.36
2.5
49.344
Identify the error in applying the order of operations in a given incorrect solution.
Ex.:
A student solved the problem below incorrectly. Find the error in the following solution and write
the correct solution:
=
=
=
5.3 + (-11.2) ÷ (-0.2) – 3.8
5.3 + (-11.2) ÷ (-4)
5.3 + 2.8
8.1
Error: The student subtracted first instead of dividing first.
Correct Solution:
=
=
=
5.3 + (-11.2) ÷ (-0.2) – 3.8
5.3 + 56 – 3.8
61.3 – 3.8
57.5
VOCABULARY:
_____
natural number
_____
non-terminating, non-repeating
decimal number
_____
greatest common factor (GCF)
_____
whole number
_____
< (less than)
_____
sum (+)
_____
integer
_____
> (great than)
_____
difference (-)
_____
rational number
_____
numerator
_____
product (x)
_____
irrational number
_____
denominator
_____
quotient (÷)
_____
terminating decimal number
_____
improper fraction
_____
dividend
_____
repeating decimal number
_____
mixed number
_____
divisor
_____
bar notation
_____
lowest common multiple (LCM)
_____
order of operations (BEDMAS)