7th Grade

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Standards and Practice Problem(s)


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Students know the properties of, and compute with, rational numbers expressed in a variety of forms.


hmtoggle_plus17NS.1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using scientific notation.



hmtoggle_plus17NS.1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers.



hmtoggle_plus17NS.1.3 Convert fractions to decimals and percents and use these representations in estimations, computations, and applications.



hmtoggle_plus17NS.1.4 Differentiate between rational and irrational numbers.



hmtoggle_plus17NS.1.5 Know that every rational number is either a terminating or repeating decimal and be able to convert terminating decimals into reduced fractions.



hmtoggle_plus17NS.1.6 Calculate the percentage of increases and decreases of a quantity.



hmtoggle_plus17NS.1.7 Solve problems that involve discounts, markups, commissions, and profit and compute simple and compound interest.






Students use exponents, powers, and roots and use exponents in working with fractions.


hmtoggle_plus17NS.2.1 Understand negative whole-number exponents. Multiply and divide expressions involving exponents with a common base.



hmtoggle_plus17NS.2.2 Add and subtract fractions by using factoring to find common denominators.



hmtoggle_plus17NS.2.3 Multiply, divide, and simplify rational numbers by using exponent rules.



hmtoggle_plus17NS.2.4 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.



hmtoggle_plus17NS.2.5 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.



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