Download Grade 6: Number Sense Sentence Frames

Grade Seven: Number Sense Sentence Frames
Add, subtract, multiply, and divide rational numbers
(integers, fractions, and terminating decimals) and take
positive rational numbers to whole-number powers.
1. _ _ _ to the _ _ _ power equals _ _ _. (whole numbers)
2. Negative _ _ _ to the _ _ _ power equals _ _ _.
3. (_ _ _/_ _ _) to the _ _ _ power equals _ _ _. (positive
fraction raised to a whole number power).
Convert fractions to decimals and percents and use
these representations in estimations, computations, and
applications.
1. The fraction _ _ _ is equivalent to the decimal _ _ _.
2. The decimal _ _ _ is equivalent to the fraction _ _ _
and _ _ _ percent.
3. _ _ _ (fraction) , _ _ _ (decimal), and _ _ _ percent are
three different representations of the same value.
4. I would convert 3/5 to a _ _ _ first by_ _ _ and then I
would convert _ _ _ to a _ _ _ by _ _ _.
5. I would convert 0.84 to a _ _ _ first by_ _ _ and then I
would convert _ _ _ to a _ _ _ by _ _ _.
6. I would convert 138% to a _ _ _ first by_ _ _ and then
I would convert _ _ _ to a _ _ _ by _ _ _.
Differentiate between rational and irrational numbers.
1. _ _ _ is a rational number because it can be written as
the fraction _ _ _.
Know that every rational number is either a terminating
or repeating decimal and be able to convert terminating
decimals into reduced fractions.
1. _ _ _ can be written as a terminating decimal.
2. _ _ _ can be written as a terminating decimal.
However, _ _ _ cannot be written as a terminating
decimal.
3. _ _ _ can be written as a terminating decimal because
the denominator can be written as _ _ _. (product of twos
and fives)
4. _ _ _ can be written as a repeating decimal because _ _
_ is a factor of the denominator. (something other than 2
and 5)
Solve problems that involve discounts, markups,
commissions, and profit and compute simple and
compound interest.
1. If an item is on sale for _ _ _ percent off, the sale price
is _ _ _ percent of the original cost.
2. _ _ _ is an irrational number because it cannot be
written as a fraction.
3. _ _ _ is a rational number. However, _ _ _ is an
irrational number.
Calculate the percentage of increases and decreases of
a quantity.
1. If the number 100 is increased by _ _ _ percent, the
resulting quantity is _ _ _.
2. If the number 100 is decreased by _ _ _ percent, the
reulting quantity is _ _ _.
Understand negative whole-number exponents.
Multiply and divide expressions involving exponents
with a common base.
1. _ _ _ to the _ _ _ times _ _ _ to the _ _ _ equals _ _ _
to the _ _ _.
2. _ _ _ to the _ _ _ divided by _ _ _ to the _ _ _ equals _
_ _ to the _ _ _.
3. _ _ _ to the _ _ _ raised to the _ _ _ equals _ _ _ to the
_ _ _.
4. _ _ _ raised to the zero power equals _ _ _ .
5._ _ _ to the negative _ _ _ is equivalent to one over _ _
_ to the _ _ _.
Multiply, divide, and simplify rational numbers by
using exponent rules.
1. _ _ _ to the _ _ _ times _ _ _ to the _ _ _ equals _ _ _
to the _ _ _.
2. _ _ _ to the _ _ _ divided by _ _ _ to the _ _ _ equals _
2. If $100 is invested at a simple interest rate of _ _ _
percent per year, the amount of interest earned each year
is _ _ _ dollars.
Add and subtract fractions by using factoring to find
common denominators.
1. To add the fractions _ _ _ and _ _ _, use _ _ _ as the
common denominator.
Use the inverse relationship between raising to a
power and extracting the root of a perfect square
integer; for an integer that is not square, determine
without a calculator the two integers between which its
square root lies and explain why.
1. The square root of _ _ _ is _ _ _.
2. Since the square root of _ _ _ is _ _ _, then _ _
_squared must be _ _ _.
3. If the side of a square measures _ _ _, then the area of
the square is _ _ _. Therefore, the square root of _ _ _ is _
_ _.
4. The square root of _ _ _ is between _ _ _ and _ _ _.
Grade Seven: Number Sense Sentence Frames
_ _ to the _ _ _.
5. Since _ _ _ squared is _ _ _ , and _ _ _ squared is _ _ _,
3. _ _ _ to the _ _ _ raised to the _ _ _ equals _ _ _ to the
the square root of _ _ _ must be between _ _ _ and _ _ _.
_ _ _.
4. _ _ _ raised to the zero power equals _ _ _ .
5._ _ _ to the negative _ _ _ is equivalent to one over _ _
_ to the _ _ _.
Understand the meaning of the absolute value of a number; interpret the absolute value as the distance of the
number from zero on a number line; and determine the absolute value of real numbers.
1. The absolute value of _ _ _ is _ _ _.
2. The absolute value of _ _ _ is _ _ _ because the distance from _ _ _ to zero on the number line is _ _ _.