Grade 5 Wyoming Math Standards

The second number in an ordered pair is the y-coordinate and represents the vertical distance from the origin

Plot and interpret points in the first quadrant of the coordinate plane to represent real-world and mathematical situations

Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category

Classify polygons in a hierarchy based on properties

Solve multi-step real world problems by converting among different-sized standard measurement units within a given measurement system

Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions to solve problems involving information presented in line plots

Recognize volume as an attribute of three-dimensional figures and understand concepts of volume measurement such as "unit cube" and a volume of n cubic units

Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units

Relate volume to the operations of multiplication and solve real world and mathematical problems involving volume

Find the volume of a right rectangular prism with whole number dimensions by multiplying them. Show that this volume is the same as when counting unit cubes

Recognize 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 in the place to its left

Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole number exponents to denote powers of 10

Read and write decimals to thousandths using base-ten numerals, number names, and expanded form

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols

Use place value understanding to round decimals to any place to a given place

Multiply multi-digit whole numbers using place value strategies including the standard algorithm

Find whole-number quotients with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of multiplication, and/or the relationship between multiplication and division, including the standard algorithm. Use appropriate models to Illustrate and explain the calculation, such as equations, rectangular arrays, and/or area models

Add, subtract, multiply, and divide decimals to hundredths using concrete models or drawings, and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; Relate the strategy to a written method and explain the reasoning used

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers

Interpret a fraction as division of the numerator by the denominator (a/b =a÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers by using visual fraction models or equations to represent the problem

Interpret multiplication of a fraction by a whole number and a whole number by a fraction and compute the product

Justify the reasonableness of a product when multiplying with fractions

Explain why multiplying a given number by a number greater than 1 (improper fractions, mixed numbers, whole numbers) results in a product larger than the given number

Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number

Explain why multiplying the numerator and denominator by the same number has the same effect as multiplying the fraction by 1

Solve real world problems involving multiplication of fractions and mixed numbers by using visual fraction models or equations to represent the problem

Extend the concept of division to divide unit fractions and whole numbers by using visual fraction models and equations

Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions by using visual fraction models and equations to represent the problem

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols

Write simple expressions requiring parentheses that record calculations with numbers, and interpret numerical expressions without evaluating them

Generate two numerical patterns with each pattern having its own rule. Explain informally the relationship(s) between corresponding terms in the two patterns

Form ordered pairs consisting of corresponding terms from the two patterns