6th Grade

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Standards and Practice Problem(s)

 

Note: Click on the hmtoggle_plus0 to open the mathcast and hmtoggle_plus1 to close it.

 

6NS.1.0:

Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions, and percentages.

 

hmtoggle_plus16NS.1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.

 

 

hmtoggle_plus16NS.1.2 Interpret and use ratios in different contexts (e.g., batting averages, miles per hour) to show the relative sizes of two quantities, using appropriate notations ( a/b, a to b, a.b ).

 

 

hmtoggle_plus16NS.1.3 Use proportions to solve problems (e.g., determine the value of N if 4/7 = N/ 21, find the length of a side of a polygon similar to a known polygon). Use cross-multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse.

 

 

hmtoggle_plus16NS.1.4 Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips.

 

 

 

 

6NS.2.0:

Students calculate and solve problems involving addition, subtraction, multiplication, and division.

 

hmtoggle_plus16NS.2.1 Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation.

 

 

hmtoggle_plus16NS.2.2 Explain the meaning of multiplication and division of positive fractions and perform the calculations (e.g., 5/8 ÷ 15/16 = 5/8 x 16/15 = 2/3).

 

 

hmtoggle_plus16NS.2.3 Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations, that use positive and negative integers and combinations of these operations.

 

 

hmtoggle_plus16NS.2.4 Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form for a fraction).

 

 

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