5th Grade Math Standards

What we learn in 5th grade Math:

Numbers and Operations in Base Ten

5 NBT 1 - I understand that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right, and 1/10 of what it represents one place to it’s left.

5 NBT 2 - I can explain patterns in the number of zeros of the product when multiplying a number by powers of 10. I can explain patterns in the placement of the decimal point when a decimal is multiplied or divided by powers of 10. I can use exponents to denote powers of 10.

5 NBT 3 - I can read and write decimals to thousandths using base-ten numerals, number names, and expanded form. I can compare two decimals to thousandths place using <, >, = symbols.

5 NBT 4 - I can round decimals to any place.

5 NBT 5 - I can multiply multi-digit whole numbers.

5 NBT 6 - I can find whole-number quotients of whole numbers with up to 4-digit dividends and 2-digit divisors.

5 NBT 7 - I can add, subtract, multiply and divide decimals to the hundredths place.

Operations and Algebraic Thinking

5 OA 1 - I can use parentheses, brackets or braces in numerical expressions.

5 OA 2 - I can write and interpret simple numerical equations representing calculations without solving the equation.

5 OA 3 - From a given starting number, I can generate two different numerical patterns using two given rules, and identify relationships between the corresponding terms in each pattern.

Numbers and Operations - Fractions

5 NF 1 - I can add and subtract fractions with unlike denominators by using equivalent fractions.

5 NF 2 - I can solve word problems that involve the addition and subtraction of fractions.

5 NF 3 - I can interpret a fraction as the division of the numerator by the denominator. I can solve word problems involving the division of whole numbers that end in fractions and/or mixed numbers.

5 NF 4 - I can multiply fractions or whole numbers by fractions, and use this knowledge to solve problems of area.

5 NF 5 - I can interpret the size of a product to the size of one of its factors based on the size of its other factor without solving the equation. I understand that multiplying a given number by a fraction greater than 1 results in a product greater than the given number, and multiplying a given number by a fraction less than 1, results in a product less than the given number.

5 NF 6 - I can solve real world problems involving the multiplication of fractions and mixed numbers.

5 NF 7 - I understand and can solve real world problems by dividing fractions and whole numbers.

Measurement & Data

5 MD 1 - I can convert standard measurements within a given measurement system and use these conversions to solve multi-step, real world problems.

5 MD 2 - I can create a line plot to display a data set of measurements in fractions of a unit.

5 MD 3 – I recognize volume as an attribute of solid figures and understand concepts of volume measurement.

5 MD 4 - I can measure volumes by counting unit cubes, cubic centimeters, cubic inches, cubic feet and improvised units.

5 MD 5 - I can relate volume to the operations of multiplication and addition, and can solve real world and mathematical problems.

Geometry

5 G 1 - I can use a pair of perpendicular number lines to define a coordinate system. I understand that the first number in a coordinate system indicates distance from the origin along one axis, and the second number indicates distance from the origin along another axis.

5 G 2 - I can represent real world and mathematical problems by graphing points in the first quadrant of a coordinate plane.

5 G 3 - I understand that attributes belonging to a category of two-dimensional figures also belong to all of it’s subcategories.

5 G 4 - I can classify two-dimensional figures in a hierarchy based on properties.