#### M5.A: Numbers and Operations

M5.A.1: Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems.

M5.A.1.1: Express numbers in equivalent forms.

M5.A.1.1.1: Use expanded notation to represent whole numbers or decimals (whole numbers less than 10,000,000 and decimals through hundredths).

M5.A.1.2: Demonstrate understanding of place value of whole numbers and decimals.

M5.A.1.2.2: Identify the place value of a digit (from millions through hundredths).

M5.A.1.3: Compare quantities or magnitudes of numbers.

M5.A.1.3.1: Compare whole numbers through 9 digits using the words more, less, equal, least, most, greater than, less than or the symbols <, >, =.

M5.A.1.3.2: Compare and/or order decimals through the hundredths. (Limit sets for ordering to no more than 4 numbers.)

M5.A.1.3.3: Compare proper fractions through 16ths with like and unlike denominators.

M5.A.1.5: Use or develop models to represent fractions and/or mixed numbers.

M5.A.1.5.1: Use or develop regions and/or sets (e.g., circle graph, base ten blocks) to model fractions and mixed numbers through hundredths (may include reducing the fractions).

M5.A.1.6: Apply number theory concepts (i.e., primes, factors, multiples, composites).

M5.A.1.6.1: Define/list/identify prime and composite numbers less than or equal to 100.

M5.A.1.6.2: Define/list/identify factors and/or multiples of a given whole number less than or equal to 50.

M5.A.2: Understand the meanings of operations, use operations and understand how they relate to each other.

M5.A.2.1: Solve problems involving decimals, fractions and/or whole numbers (straight computation or word problems).

M5.A.2.1.1: Solve problems involving addition, subtraction, multiplication and division of whole numbers (multipliers up to 2 digits - divisors one digit) and decimals including money (answer through hundredths - no divisors with decimals).

M5.A.2.1.2: Solve problems involving addition and subtraction of fractions (through 16ths - like and unlike denominators - for unlike denominators, the LCD must be one of the given denominators).

M5.A.3: Compute accurately and fluently and make reasonable estimates.

M5.A.3.1: Apply estimation strategies to a variety of problems.

M5.A.3.1.1: Round whole numbers through millions and decimals through hundredths.

M5.A.3.1.2: Use estimation to solve problems involving whole numbers and/or decimals (up to 2-digit multipliers, single-digit divisors or multiples of 10; whole numbers through thousands and decimals through hundredths).

M5.A.3.2: Compute accurately without the use of a calculator (straight computation or 1 operation word problems).

M5.A.3.2.1: Use addition, subtraction, multiplication and division to compute accurately without a calculator (multipliers up to 2 digits, single-digit divisors or multiples of 10 - whole numbers through thousands and decimals through hundredths - no division with decimals).

#### M5.B: Measurement

M5.B.1: Demonstrate an understanding of measurable attributes of objects and figures, and the units, systems and processes of measurement.

M5.B.1.1: Select appropriate units (customary or metric) to measure specific attributes of objects.

M5.B.1.1.1: Select the appropriate unit for measuring weight (mass), capacity, length, perimeter and area.

M5.B.1.2: Solve problems using simple conversions and/or add and subtract measurements.

M5.B.1.2.1: Convert using linear measurements, capacity, and weight (mass) within the same system to the unit immediately above or below the given unit (using only the units below - use a conversion chart or a "hint" with problems e.g., hint: 16oz = 1lb).

M5.B.1.2.1.a: Metric using mm, cm, m and km; mL and L; g and kg

M5.B.1.2.1.b: Customary using cup, pint, quart, gallon; in, ft, yd; oz, lb

M5.B.1.3: Estimate and/or compare the perimeters or areas of 2 figures without computation.

M5.B.1.3.2: Estimate the area of an irregular figure shown on a grid.

M5.B.2: Apply appropriate techniques, tools and formulas to determine measurements.

M5.B.2.1: Use appropriate tools to determine measurements.

M5.B.2.1.1: Use a ruler to measure to the nearest 1/8 inch or centimeter.

M5.B.2.2: Solve problems involving length, time, weight (mass), capacity, temperature, perimeter and/or area.

M5.B.2.2.1: Find the perimeter of a figure drawn and labeled (with the same units throughout).

M5.B.2.2.2: Find the area of a square or rectangle (with the same units throughout - whole numbers only).

M5.B.2.2.3: Solve problems involving weight, time, temperature, length and capacity (with the same units throughout - limited to 3 digits).

#### M5.C: Geometry

M5.C.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.

M5.C.1.1: Define and/or use basic properties of quadrilaterals (parallelograms, squares, rectangles, trapezoids, rhombi), triangles, circles, pyramids, cubes, and/or prisms.

M5.C.1.1.2: Identify and/or describe properties of all types of quadrilaterals (parallelogram, rectangle, rhombus, square, trapezoid).

M5.C.1.2: Represent and/or use properties of lines, line segments, rays, points and planes.

M5.C.1.2.1: Identify, draw and/or label points, lines, line segments and rays.

M5.C.2: Identify and/or apply concepts of transformations or symmetry.

M5.C.2.1: Analyze transformations and/or use symmetry to analyze mathematical situations.

M5.C.2.1.1: Draw or identify a translation (slide), reflection (flip) or rotation (turn) of a 2-dimensional shape.

#### M5.D: Algebraic Concepts

M5.D.1: Demonstrate an understanding of patterns, relations and functions.

M5.D.1.1: Create or extend patterns.

M5.D.1.1.1: Extend or find a missing element in a numerical or simple geometric pattern (+, -, x or ÷ of whole numbers). Pattern must show 3 repetitions.

M5.D.1.1.2: Create or replicate a numerical or geometric pattern showing 3 repetitions of that pattern (+, -, x or ÷ of whole numbers may be used).

#### M5.E: Data Analysis and Probability

M5.E.1: Formulate or answer questions that can be addressed with data and/or organize, display, interpret or analyze data.

M5.E.1.1: Organize, display and/or interpret data using pictographs, tallies, tables, charts, line, bar graphs.

M5.E.1.1.1: Display and/or interpret data shown in tallies, tables, charts, pictographs, bar graphs, line graphs and using a title, appropriate scale, and labels. A grid will be provided to display data on bar graphs or line graphs.

M5.E.2: Select and/or use appropriate statistical methods to analyze data.

M5.E.2.1: Describe data sets using mean, median, mode and/or range.

M5.E.2.1.1: Determine the mean/average (answer is a whole number), median (answer is a whole number or average of 2 numbers) and range of data (up to 10 numbers).

M5.E.2.1.2: Identify the mode in a set of data (up to 10 numbers).

M5.E.3: Understand and/or apply basic concepts of probability or outcomes.

M5.E.3.1: Predict or determine all possible combinations, outcomes and/or calculate the probability of a simple event.

M5.E.3.1.1: Predict or determine whether some outcomes are certain, more likely, less likely, equally likely, or impossible (information could be represented by pictographs, bar graphs, charts, tables and/or spinners).

M5.E.3.1.2: Determine the probability of an outcome (e.g., a coin toss, a roll of a number cube) and express as a fraction without reduction.

Correlation last revised: 5/23/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.