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## 7th Grade Math Standards - Number & Operations

### Checks for Understanding (Formative/Summative Assessment)

0706.2.1

Rational - Understand that the set of rational numbers includes any number that can be written as a ratio of two integers in which the denominator is not zero.

0706.2.2 Algorithm - Develop and analyze algorithms and compute efficiently with integers and rational numbers.
0706.2.3 Laws - Recognize that rational numbers satisfy the commutative and associative laws of addition and multiplication and the distributive law.
0706.2.4 Add/Inverse - Understand that a and -a are additive inverses and are located the same distance from zero on the number line; relate distance from zero to absolute value.
0706.2.5 Double Negative - Understand that -(-a) = a for any number a.
0706.2.6 Number Line - Use the number line to demonstrate addition and subtraction with integers.
0706.2.7 Sentences - Write number sentences to solve contextual problems involving ratio and percent.
0706.2.8 Ratio/Rate - Apply ratios, rates, proportions and percents (such as discounts, interest, taxes, tips, distance/rate/time, and percent increase or decrease).
0706.2.9 Ordering - Efficiently compare and order rational numbers and roots of perfect squares/cubes; determine their approximate locations on a number line.
0706.2.10 Irrational - Recognize that when a whole number is not a perfect square, then its square root is not rational and cannot be written as the ratio of two integers.
0706.2.11 Estimate Roots - Estimate square/cube roots and use calculators to find approximations.
0706.2.12 Roots - Recognize
0706.2.13 Negative Exp - Use the meaning of negative exponents to represent small numbers; translate between scientific and standard notation.
0706.2.14 Notation - Express numbers in scientific notation and recognize its importance in representing the magnitude of a number.
0706.2.15 Approximation - Report results of calculations appropriately in a given context (i.e. using rules of rounding, degree of accuracy, and/or significant digits).

### State Performance Indicators

SPI 0706.2.1 Simplify - Simplify numerical expressions involving rational numbers.
SPI 0706.2.2 Compare - Compare rational numbers using appropriate inequality symbols.
SPI 0706.2.3 Use Roots - Use rational numbers and roots of perfect squares/cubes to solve contextual problems.
SPI 0706.2.4 Location - Determine the approximate location of square/cube roots on a number line.
SPI 0706.2.5 Contextual - Solve contextual problems that involve operations with integers.
SPI 0706.2.6 Percent - Express the ratio between two quantities as a percent, and a percent as a ratio or fraction.
SPI 0706.2.7 Proportion - Use ratios and proportions to solve problems.

Number and Operations - National Library of Virtual Manipulatives [Grades 6-8]

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