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8-10 Benchmark A |
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Use scientific notation to express large numbers and numbers less than one. |
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Grade 8 Indicator 1 - Use scientific notation to express large numbers and
small numbers between 0 and 1. |
*Express a given value in scientific notation.
*Convert number to scientific notation
*Identify an equivalent description of range of diameters |
3 |
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8-10 Benchmark B |
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Identify subsets of the real number system. |
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Grade 7 Indicator 3 - Describe differences between rational and irrational
numbers; e.g., use technology to show that some numbers (rational) can be
expressed as terminating or repeating decimals and others (irrational) as
non-terminating and non-repeating decimals. GRADE 7 |
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Grade 8 Indicator 2 - Recognize that natural numbers, whole numbers,
integers, rational numbers and irrational numbers are subsets of the real
number system. |
* Which subset of real numbers containing… |
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8-10 Benchmark C |
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Apply properties of operations and the real number system and justify when
they hold for a set of numbers. |
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Grade 8 Indicator 4 - Explain and use the inverse and identity properties
and use inverse relationships (addition/subtraction,
multiplication/division, squaring/square roots) in problem solving
situations. |
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Grade 9 Indicator 1 - Identify and justify whether properties (closure,
identity, inverse, commutative and associative) hold for a given set and
operations; e.g., even integers and multiplication. |
*Under what circumstances will the product of 3 numbers always be negative? |
1 |
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8-10 Benchmark D |
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Connect physical, verbal and symbolic representations of integers, rational
numbers and irrational numbers. |
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Grade 10 Indicator 1 - Connect physical, verbal and symbolic representations
of irrational numbers; e.g., construct the square root of 2 as a hypotenuse
or on a number line. |
*Given a number line, which point on the number line correctly shows the
approximate value of ___.
*Identify the choice that represents the distance from x
(any number) to a specified number on real number line. |
2 |
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Grade 10 Indicator 2 - Explain the meaning of the nth root |
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8-10 Benchmark E |
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Compare, order and determine equivalent forms of real numbers. |
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Grade 9 Indicator 2 - Compare, order and determine equivalent forms for
rational and irrational numbers. |
*Describe the relationship of the 4 given numbers.
*From a table, order from greatest to least, numbers in a variety of forms.
*Given problem multiplying 2 rational numbers, identify the equivalent form. |
3 |
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8-10 Benchmark F |
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Explain the effects of operations on the magnitude of quantities. |
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Grade 7 Indicator 5 - Explain the meaning and effect of adding, subtracting,
multiplying and dividing integers; e.g., how adding two integers can result
in a lesser value. (GRADE 7) |
*Which statement is true about a quotient when… |
1 |
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8-10 Benchmark G |
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Estimate, compute and solve problems involving real numbers, including
ration, proportion and percent, and explain solutions. |
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Grade 8 Indicator 5 - Determine when an estimate is sufficient and when an
exact answer is needed in problem situations,
and evaluate estimates in relation to actual answers; e.g., very close, less
than, greater than. |
*Approximate the percent |
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Grade 8 Indicator 6 - Estimate, compute and solve problems involving
rational numbers, including ratio, proportion and percent, and judge the
reasonableness of solutions. |
*Given a scenario, make a prediction (proportion problem).
*Which choice is not a reasonable estimate
*Make comparative statements about ratios, proportions or percents
*Determine fractional part of city's population rate voted, given percent
casting ballots and ratio registered.
*Determine the fraction of total, given participants in percentage and
decimal form. |
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Grade 9 Indicator 4 - Demonstrate fluency in computations using real
numbers. |
*Find the percent of a number and a percent of that number. Show or explain
all steps used.
*Given a situation involving the increasing value of collectibles of 2
people, explain and support how both people can be correct when they claim
theirs has increased more in value than the other. |
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8-10 Benchmark H |
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Find the square root of perfect squares, and approximate the square root of
non-perfect squares. |
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Grade 8 Indicator 7 - Find the square root of perfect squares, and
approximate the square root of non-perfect squares as consecutive integers
between which the root lies; e.g. The square root of 130 is between 11 and
12. |
*Give the range of the square root of x,
given 169 < x < 196.
*Interpret a problem situation to find the square root of a number
*Select the perfect square
*Identify the point on a number line which best represents a non-perfect
square. |
4 |
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8-10 Benchmark I |
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Estimate, compute and solve problems involving scientific notation, square
roots and numbers with integer exponents. |
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