Self Check for Number Sense Unit Test
EXPONENTS, SQUARES AND SQUARE ROOTS
Can I convert numbers between exponential, standard and expanded form?
e.g. Write 64 as an exponent as many ways as you can.
Write 3 to the power of 4 in expanded and standard form?
Can I calculate the square root of a number?
e.g. What is the square root of 10000?
Can I estimate square roots of numbers that are not perfect squares?
e.g. The square root of 35 is between what 2 numbers?
DECIMALS: UNDERSTANDING OF PLACE VALUE & COMPUTATION
Can I read , write, and understand decimal numbers to the thousandths?
e.g. What is the value of the digit 5 in 4.056?
Round 4.056 to the nearest 10th or whole number?
Can I add and subtract numbers that include decimal numbers?
e.g. What is the sum of 1.4 and 7.56 ? What number added to 14.1 will make 15?
Can I multiply and divide numbers (including decimal numbers) by powers of 10?
e.g. Multiply 45.5 by 102 Divide 7.095 by 103
Multiply 125,000 by 0.1 Divide 125 by 0.01
Can I convert between decimals in standard form and expanded form with powers of
10? e.g. Write 5 x 104 + 7 x 102 + 4 x 10 + 5 10 in standard form and scientific notation.
Can I use estimation to check if my solutions are reasonable when multiplying,
dividing, adding and subtracting decimal numbers?
e.g. What is a reasonable estimate of the difference between of 6.3 and 4.9?
PRIME FACTORIZATION
Can I understand, identify, and express numbers as a product of its prime factors?
e.g. Write 23 x 52 in standard form. Write 126 as a product of prime factors.
Can I use prime factors of numbers to find the other factors of a numbers, including
common factors with another number?
e.g. Use prime factorization to find the common factors of 36 & 100; 63 & 182
Can I use prime factors of numbers to find the lowest common multiple of 2 or more
numbers?
e.g. Use prime factorization to find 3 common multiples of 14, 27, 36
Vocabulary : standard form, expanded form, word form, expression, equation,
operation, inverse operation, exponential form, exponent, power, base, place value,
scientific notation, co-efficient, factors, multiple, lowest common multiple, greatest
common factor.
FINALLY…
Can I apply my knowledge and understanding to solve word problems involving
square roots or decimal numbers?
Can I justify my solutions using correct terms and clear explanations?
Try the following problems:
1. A marathon is 26 miles or 42.195 km. Jamie has set a goal to run the distance
equivalent to 100 marathons in one year.
a) How many miles will she run in one year if she meets her goal? How many
kilometers?
b) Is she runs 1/100 (one hundredth of the distance every second day, will she meet
her goal?
c) How many kilometers would she run in a week?
2. There are 120 intermediate students, 136 junior students, and 96 primary students
at Ekodech school. The vice principal, Mr Readwrite, wants to divide the divisions
into teams for get acquainted day. Use prime factorization to determine some
possible arrangements of teams where the grade divisions are evenly split.
3. Pete wants to make a square field for his daughter’s horses.
a) In order for the field to be 150 square meters, how long will the sides of the field
need to be?
b) Since the fencing is only sold in meter lengths, Pete decides to make the field a
perfect square. What would be the area and side lengthsof the field if he makes it a
perfect square as close as possible to 150 square meters?
c) If the fencing costs 10 dollars for every square meters, how much will it cost him to
build the fence surrounding the field?