Number+Sense

1.0 Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions, and percentages:
 *  1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. ([|Compare Mixed Values 2], [|Number Line])
 *  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 ). ([|Ratios])
 * ** 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. ([|Proportions 1], [|Proportions 2]) **
 * ** 1.4 Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips. ([|Restaurant Bills], [|Percent of Quantity]) **

2.0 Students calculate and solve problems involving addition, subtraction, multiplication, and division:
 * ** 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. ([|Fraction Addition], [|Fraction Subtraction], [|Fraction Multiplication], [|Fraction Division], [|Fraction Word Problems], [|Fraction Word Problems 2]) **
 *  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). ([|Fraction Division])
 * ** 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. ([|Integer Addition], [|Integer Subtraction], [|Positive Integer Subtraction], [|Integer Multiplication], [|Integer Division], [|Integer Equivalence], [|Integers In Word Problems]) **
 *  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). ([|Greatest Common Factor], [|Least Common Multiple])