Illinois State Standards      Goal 6  

Number Sense

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Goal 6 Number Sense Goal 7 Measurement Goal 8 Algebra Goal 9 Geometry Goal 10 Data Analysis
   
6.7.01 Read, write, and recognize equivalent representations of positive powers of 10.

 
   
6.7.02 Read, write, recognize, model, and interpret integers, including translating numerical expressions.

 
 

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6.7.03 Recognize, translate between, and apply multiple representations of rational numbers (decimals, fractions, mixed numbers, and percents less than 100%).
   
6.7.04 Represents repeated factors using exponents.
 

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6.7.05 Order and compare integers, terminating decimals, fractions and mixed numbers.
   
6.7.06 Identify and located integers, decimals, and fraction/mixed numbers on a number line, and estimate the locations of square roots.  
 

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6.7.07 Solve problems involving descriptions of numbers, including characteristics and relationships (e.g., square numbers, prime/composite, prime factorization, greatest common factor, least common multiple).

 
   
6.7.08 Solve problems and number sentences involving addition, subtraction, multiplication, and division using integers, fractions, and decimals.

 
 

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6.7.09 Identify and apply order of operations to simplify numeric expressions involving whole numbers (including exponents), fractions, and decimals.
   
6.7.10 Identify and apply the following properties of operations with rational numbers: the commutative and associative properties for addition and multiplication; the distributive property; the additive and multiplicative identity properties; the additive and multiplicative inverse properties; and the multiplicative property of zero.
 

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6.7.11 Demonstrate and apply the relationships between addition/subtraction and multiplication/division with rational numbers.
   
6.7.12 Make estimates appropriate to a given situation, and analyze what effect the estimation method used has n the accuracy of results.  
 

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6.7.13 Estimate the square root of a number less than 1,000 between two whole numbers( e.g., √41 is between 6 and 7).

 
   
6.7.14 Create and explain ratios that represent a given situation.

 
 

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6.7.15 Use proportional reasoning to model and solve problems.

 
   
6.7.16 Read, write, recognize, model, and interpret percents from 0% to 100%.
 

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6.7.17 Solve number sentences and problems involving fractions, decimals, and percents (e.g., 50% of 10 is same as half of 10 is same as 0.5 x 10, sales tax, tips, interest, discounts.)