Download Math Standards: 3rd through 6th grade Page 1 of 4 Date printed: 12

Math Standards: 3rd through 6th grade 3rd GRADE Number and Notation • Understands place value and notation (whole number to millions) • Understands meanings and uses of fractions (parts of a region or collection) • Understands number theory (multiples of 2, 5, and 10) • Knows equivalent names for whole numbers (+, ‐, x, / number sentences) • Knows equivalent names for fractions • Compares and orders numbers (whole numbers and decimals up to a million) Operations and Computations 4th GRADE • Understands place value and notation (whole numbers and decimals to billions) • Understands meanings and uses of fractions (parts of a region or collection including unit whole) • Understands number theory (multiples of whole numbers less than 10 and whole number factors) • Knows equivalent names for whole numbers (+, ‐, x, / number sentences and grouping symbols) • Knows equivalent names for fractions and decimals • Compares and orders numbers (whole numbers and decimals up to a billion and integers between ‐100 and 0) • Demonstrates automaticity with basic addition and subtraction facts and fact extensions • Understands addition and subtraction procedures (whole numbers and decimals through hundredths) • Demonstrates automaticity with all addition • Demonstrates automaticity with and subtraction facts through 10 + 10; uses multiplication facts through 10 x 10 and basic facts to compute fact extensions such proficiency with related division facts; use as 80 + 70 basic facts to compute fact extensions such • Understands addition and subtraction as 30 x 60) procedures (whole numbers and decimals • Understands multiplication (multidigit in a money context) whole numbers by 2 digit whole numbers) Page 1 of 4 Date printed: 12/15/11 5th GRADE • Understands place value and expanded notation • Understands meanings and uses of fractions (percents and discounts involving fractions) • Understands number theory (prime and composite numbers and prime factorization) • Knows equivalent names for whole numbers (+, ‐, x, / number sentences, grouping symbols, and exponents) • Knows equivalent names for fractions, decimals, and percents • Compares and orders numbers (whole numbers and decimals up to a billion and integers between ‐100 and 0) • Understands addition and subtraction procedures (whole numbers, decimals, and signed numbers) • Demonstrates automaticity with multiplication facts and proficiency with division facts and extensions 6th GRADE • Understands place value and scientific notation • Understands meanings and uses of fractions (percents and discounts involving fractions and decimals) • Understands number theory (greatest common factors, least common multiples, and divisibility rules) • Knows equivalent names for whole numbers (order of operations) • Knows equivalent names for fractions, mixed numbers, decimals, and percents, identifying simplest form • Compares and orders numbers (rational numbers) • Understands addition and subtraction procedures (whole numbers, decimals, and signed numbers) • Understands multiplication and division (whole numbers, decimals, and signed numbers) Math Standards: 3rd through 6th grade Data and Chance 3rd GRADE • Demonstrates automaticity with x0, x1, x2, x5, and x10 multiplication facts; uses strategies to compute remaining facts up to 10 x 10 • Understands multiplication procedures (2 and 3 digit whole numbers by 1 digit) • Makes reasonable computational estimations (whole number addition and subtraction problems) • Understands part to whole relationships through models (repeated addition, arrays, and skip counting for multiplication, and equal sharing and grouping for division) • Collects and organizes data or uses given data to create charts, tables, bar graphs, and line plots • Uses graphs to ask simple questions and draw conclusions; find the maximum, minimum, range, mode, and media of a data set 4th GRADE and division (multidigit whole numbers by 1 digit whole numbers) procedures • Knows and understands procedures for addition and subtraction of fractions (like and unlike denominators) • Makes reasonable computational estimations (whole number and decimals addition, and subtraction problems and whole number multiplication and division problems) • Understands part to whole relationships through models (repeated addition, skip counting, arrays, area, and scaling for multiplication and division) • Collects and organizes data or uses given data to create charts, tables, bar graphs, line plots, and line graphs • Uses the maximum, minimum, range, median, mode, and graphs to ask and answer questions, draw conclusions, and make predictions 5th GRADE • Understands multiplication (whole numbers and decimals) and division (multidigit whole numbers and decimals by whole numbers with remainders) procedures • Knows and understands procedures for addition and subtraction of fractions (mixed numbers) • Knows and understands procedures for multiplication of fractions and mixed numbers • Makes reasonable computational estimations (whole number and decimal addition, subtraction, multiplication, division problems, fractions, and mixed number addition and subtraction problems) • Understands part to whole relationships through models (including ratios) • Collects and organizes data or uses given data to create bar, line, and circle graphs with reasonable titles, labels, keys, and intervals • Uses the maximum, minimum, range, median, mode, mean, and graphs to ask and answer questions, draw conclusions, and make predictions • Understands qualitative and quantitative probability using basic terms (e.g., likely, impossible, and _____ out of _____) • Understands qualitative and quantitative probability using basic terms (e.g., likely, impossible, and ______out of ______) and making comparisons and predictions using fractions • Estimates and measures length (nearest ¼ in. and ½ cm) • Understands qualitative and quantitative probability using basic terms (e.g., likely, impossible, and ______ out of ______) and making comparisons and predictions using fractions, decimals, or percents Page 2 of 4 Date printed: 12/15/11 6th GRADE procedures • Knows and understands procedures for addition and subtraction of mixed numbers • Knows and understands procedures for multiplication and division of fractions and mixed numbers • Makes reasonable computational estimations (whole number, decimal, fraction, and mixed number addition, subtraction, multiplication, and division problems) • Understands part to whole relationships through models (including ratios, percents, and decimals) • Collects and organizes data or uses given data to create bar, line, circle, and stem‐and‐leaf graphs with reasonable titles, labels, keys, and intervals • Uses the minimum, range, median, mode, mean, and graphs to ask and answer questions, draw conclusions, and make predictions; compares and contrasts the median and mean of a data set • Understands quantitative probability by making comparisons and predictions using fractions, decimals, or percents Math Standards: 3rd through 6th grade Measurement and Reference Frames Geometry Patterns, Functions, and Algebra 3rd GRADE • Estimates and measures length (nearest ½ in. and ½ cm) • Understands and finds area of rectangles and perimeter of polygons • Describes relationships among inches, feet, and yards; describes relationships between minutes in an hour, hours in a day, days in a week • Tells and shows time to the nearest minute on an analog clock; tells and writes time in digital notation • Identifies and draws points, intersecting and parallel line segments, and lines, rays, and right angles 5th GRADE • Estimates and measures length (nearest 1/8 in. and mm) and estimates the measure of and draws angles with and without tools • Understands and finds area, perimeter, and volume using appropriate formulas • Describes relationships among U.S. customary units of length and capacity; among metric units of length • Uses ordered pairs of numbers to name, locate, and plot points in all four quadrant of a coordinate grid • Understands types of angles and their measurement relationship • Identifies, describes, models, and compares • Describes, compares, and classifies plane • Describes, compares, and classifies plane and solid figures including circles, and solid figures, including polygons, plane and solid figures using polygons, spheres, cylinders, rectangular circles, spheres, cylinders, rectangular appropriate geometric terms; prisms, pyramids, cones, and cubes using prisms, cones, cubes, and pyramids, using identifies congruent figures and appropriate geometric terms including the appropriate geometric terms including describe their properties terms face, edge, vertex, and base vertex, base, face, edge, and congruent • Identifies, describes, and sketches • Creates and completes two‐dimensional • Identifies, describes, and sketches examples examples of reflections, translations, symmetric shapes or designs; locates of reflections; identifies and describe and rotations multiple lines of symmetry in a two‐
examples of translations and rotations dimensional shape • Understands numeric patterns and functions involving addition, subtraction, and multiplication • Reads, writes, and explains number sentences using the symbols +, – , x, ÷, =, >, and <; solves number sentences, writes expressions and number sentences to model number stories Page 3 of 4 Date printed: 12/15/11 4th GRADE • Understands and finds area and perimeter of polygons and volume of rectangular prisms; estimates area of irregular shapes • Describes relationships among U.S. customary units of length and among metric units of length • Uses ordered pairs of numbers to name, locate, and plot points in the first quadrant of a coordinate grid • Identifies, draws, and describes points, intersecting and parallel line segments and lines, rays, and right, acute, and obtuse angles • Understands numeric patterns and functions involving addition, subtraction, multiplication, and division • Uses algebraic notation to solve number sentences • Evaluates numeric expressions containing parenthesis to determine validity • Applies the Distributive Property of 6th GRADE • Estimates and measures length (nearest 1/16 in. and mm) and estimates the measure of and draws angles with and without tools • Chooses and uses appropriate formulas to calculate the circumference of circles and to solve area, perimeter, and volume problems • Uses ordered pairs of numbers to name, locate, and plot points in all four quadrant of a coordinate grid • Understands angles and angle measures • Identifies and describes similar and congruent figures and describe their properties; constructs a figure that is congruent to another figure using a compass and straightedge • Identifies, describes, and sketches (including plotting on the coordinate plane) instances of reflections, translations, and rotations • Understands numeric patterns and • Understands numeric patterns and functions involving addition, functions involving addition, subtraction, multiplication, and subtraction, multiplication, and division using words, symbols, tables, division using words, algebraic and graphs notation, symbols, tables, and • Uses algebraic notation to solve graphs number sentences that have one • Uses algebraic notation (trial‐an‐
unknown error, equivalent equation, and Math Standards: 3rd through 6th grade 3rd GRADE • Understands algebraic notation and solving number sentences • Understands how parentheses affect the order of operations • Describes and applies the Commutative and Associative Properties of Addition, the Commutative Property of Multiplication, and the Multiplicative Identity Page 4 of 4 Date printed: 12/15/11 4th GRADE Multiplication over Addition to the partial‐
products multiplication algorithm 5th GRADE • Evaluates numeric expressions containing parenthesis and nested parenthesis to determine validity • Describes and applies properties of arithmetic 6th GRADE pan‐balance model) to solve number sentences that have one or two unknowns • Describes and applies the conventional order of operations • Describes and applies properties of arithmetic and multiplicative and additive inverses