Grade 5 Tennessee Math Standards

Graph ordered pairs and label points using the first quadrant of the coordinate plane. Understand in the ordered pair that the first number indicates the horizontal distance traveled along the x-axis from the origin and the second number indicates the vertical distance traveled along the y-axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate)

Represent real-world and mathematical problems by graphing points in the first quadrant of the coordinate plane and interpret coordinate values of points in the context of the situation

Classify two-dimensional figures in a hierarchy based on properties. Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category

Convert customary and metric measurement units within a single system by expressing measurements of a larger unit in terms of a smaller unit. Use these conversions to solve multi-step real-world problems involving distances, intervals of time, liquid volumes, masses of objects, and money (including problems involving simple fractions or decimals)

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 for this grade to solve problems involving information presented in line plots

Recognize volume as an attribute of solid figures and understand concepts of volume measurement

Measure volume by counting unit cubes, using cubic centimeters, cubic inches, cubic feet, and improvised units

Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume of right rectangular prisms

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 and1/10of 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 standard form, word form, and expanded notation (e.g., the expanded notation of 347.392 is written as (3 × 100) + (4 × 10) + (7 × 1) + (3 × (1/10)) + (9 × (1/100)) + (2 × (1/1000))). Compare two decimals to thousandths based on meanings of the digits in each place and use the symbols >, =, and < to show the relationship

Round decimals to the nearest hundredth, tenth, or whole number using understanding of place value, and use a number line to explain how the number was rounded

Fluently multiply multi-digit whole numbers (up to three-digit by four-digit factors) using efficient strategies and algorithms

Find whole-number quotients and remainders of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using 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 operations. Assess the reasonableness of answers using estimation strategies

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 contextual problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators. 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)

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number or a fraction by a fraction

Interpret multiplication as scaling (resizing)

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

Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions

Use parentheses and/or brackets in numerical expressions involving whole numbers and evaluate expressions having these symbols using the conventional order by applying the Order of Operations

Write numerical expressions that record calculations with numbers and interpret numerical expressions without evaluating them

Generate two numerical patterns using two given rules