-
6Grade 6 Standards
Top Mathematicians
-
Arithmetic: Meaning of operations involving numbers
-
6.ARTM.1.1.1
Determines the operation(s) to perform in a given situation using natural numbers up to 1000000
-
-
6.28Subtraction with Numbers Up to 50000005
-
6.29Numbers Up to 500000020
-
6.30Mixed Equations with Whole Numbers15
-
6.31Estimate Mixed Equations20
-
6.32Extra or Missing Information20
-
6.33Guess and Check10
-
-
6.ARTM.1.1.2a
Uses objects, diagrams or equations to represent and describe transformations of numbers up to 1000000: adding, taking away, uniting, comparing
-
-
6.28Subtraction with Numbers Up to 50000005
-
6.29Numbers Up to 500000020
-
-
6.ARTM.1.1.2b
Uses objects, diagrams or equations to represent and describe the composition of transformations (positive or negative) of numbers up to 1000000
-
-
6.34Simplify Expressions15
-
-
6.ARTM.1.1.2c
Uses objects, diagrams or equations to represent and describe the composition of transformations composition of mixed transformations with numbers up to 100000
-
-
6.34Simplify Expressions15
-
-
6.ARTM.1.1.3
Uses objects, diagrams or equations to represent and describe rectangular arrays, repeated addition, Cartesian product, area, volume, repeated subtraction, sharing, number of times x goes into y, and comparisons.
-
-
6.35Multiplication Up to 100015
-
6.36Multiplication with Operands Up to 100 III20
-
6.37Multiply Three or More Numbers20
-
6.38Multiply Three or More Numbers Up to 10020
-
6.39Division with Divisors Up to 10015
-
6.40Divide Numbers Ending in Zeroes15
-
6.41GCF and LCM20
-
-
6.ARTM.1.1.4
Establishes equality relations between numerical expressions (e.g. 3 + 2 = 6 - 1)
-
-
6.ARTM.1.1.5
Determines numerical equivalencies using relationships between operations (the four operations), the commutative property of addition and multiplication, the associative property and the distributive property of multiplication over addition or subtraction
-
-
6.ARTM.1.1.6
Translates a situation using a series of operations in accordance with the order of operations
-
-
6.32Extra or Missing Information20
-
6.34Simplify Expressions15
-
-
6.ARTM.1.2.1a
Uses objects, diagrams or equations to represent and describe transformations with decimals to the thousandth place value: adding, taking away, uniting, comparing
-
-
6.42Maps with Decimal Distances5
-
-
6.ARTM.1.2.1b
Uses objects, diagrams or equations to represent and describe the composition of transformations (positive or negative) with decimals to the thousandth place value.
-
-
6.ARTM.1.2.1c
Uses objects, diagrams or equations to represent and describe the composition of mixed transformations with decimals to the thousandth place value.
-
-
6.ARTM.1.2.2
Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of multiplication and division: rectangular arrays, Cartesian product, area, volume, sharing, number of times x goes into y, and comparisons)
-
-
6.43Multiply Decimals Using Grids10
-
-
6.ARTM.1.2.3
Determines numerical equivalencies using relationships between operations (the four operations), the commutative property of addition and multiplication, the associative property and the distributive property of multiplication over addition or subtraction
-
-
6.ARTM.1.2.4
Translates a situation into a series of operations in accordance with the order of operations
-
-
6.34Simplify Expressions15
-
-
6.ARTM.1.3.1
Uses objects, diagrams or equations to represent a situation and conversely, describes a situation represented by objects, diagrams or equations (use of different meanings of addition, subtraction and multiplication by a natural number)
-
-
6.7Fractions Review5
-
6.44Add, Subtract Fractions with Like Denominators15
-
6.45Add Fractions20
-
6.46Subtract Fractions20
-
6.47Add and Subtract Mixed Numbers15
-
6.48Multiply Fractions by Whole Numbers20
-
-
6.ARTM.1.1.1
-
Probability
-
6.PR.1.1.1
When applicable, recognizes variability in possible outcomes (uncertainty)
-
6.PR.1.1.10
Recognizes that a probability is always between 0 and 1
-
6.PR.1.1.11
Uses fractions, decimals or percentages to quantify a probability
-
6.PR.1.1.12
Compares the outcomes of a random experiment with known theoretical probabilities
-
-
6.169Making Predictions5
-
6.170Prediction Problems5
-
-
6.PR.1.1.13
Simulates random experiments with or without the use of technology
-
-
6.PR.1.1.2
When applicable, recognizes equiprobability (e.g. quantity, symmetry of an object [cube])
-
6.PR.1.1.3
When applicable, becomes aware of the independence of events in an experiment
-
-
6.PR.1.1.4
Experiments with activities involving chance, using various objects (e.g. spinners, rectangular prisms, glasses, marbles, thumb tacks, 6-, 8- or 12-sided dice)
-
-
6.166Probability of Simple Events5
-
6.167Probability of Opposite and Overlapping Events5
-
6.169Making Predictions5
-
6.170Prediction Problems5
-
-
6.PR.1.1.5a
Predicts qualitatively an outcome or several events using a probability line, among other things using certain, possible or impossible outcome
-
-
6.PR.1.1.5b
Predicts qualitatively an outcome or several events using a probability line, among other things using more likely, just as likely, less likely event
-
-
6.PR.1.1.6
Distinguishes between prediction and outcome
-
-
6.169Making Predictions5
-
6.170Prediction Problems5
-
-
6.PR.1.1.7
Uses tables or diagrams to collect and display the outcomes of an experiment
-
-
6.PR.1.1.8
Enumerates possible outcomes of a random experiment, using a table, a tree diagram
-
6.PR.1.1.9
Compares qualitatively the theoretical or experimental probability of events
-
-
6.PR.1.1.1
-
Measurement
-
6.MT.1.1.1
Estimates and measures the dimensions of an object using conventional units using metre, decimetre, centimetre, millimetre and kilometre
-
-
6.MT.1.1.2
Establishes relationships between units of measure for length using metre, decimetre, centimetre, millimetre and kilometre
-
6.MT.1.1.3
Calculates the perimeter of plane figures
-
-
6.123Perimeter with Unit Squares15
-
-
6.MT.1.2.1
Estimates and measures surface area using conventional units
-
-
6.124Volume of Cubes and Rectangular Prisms5
-
6.125Surface Area5
-
-
6.MT.1.3.1
Estimates and measures volume using conventional units
-
6.MT.1.4.1
Compares angles
-
-
6.MT.1.4.2
Estimates and determines the degree measurement of angles
-
6.MT.1.5.1
Estimates and measures capacity using unconventional units
-
-
6.MT.1.5.2
Estimates and measures capacity using conventional units
-
-
6.MT.1.5.3
Establishes relationships between units of measure (e.g. 1 L = 1000 mL, 1/2 L = 500 mL)
-
6.MT.1.6.1
Estimates and measures mass using unconventional units
-
-
6.MT.1.6.2
Estimates and measures mass using conventional units
-
-
6.MT.1.6.3
Establishes relationships between units of measure (e.g. : 1 kg = 1000 g, 1/2 kg = 500 g)
-
6.MT.1.7.1
Estimates and measures time using conventional units
-
-
6.130Find the Change in Time I20
-
6.131Change in Time Review20
-
6.132Find Start and End Times5
-
-
6.MT.1.7.2
Establishes relationships between units of measure for time
-
-
6.133Convert Time Units5
-
-
6.MT.1.8.1
Estimates and measures temperature using conventional units
-
6.MT.1.1.1
-
Statistics
-
6.ST.1.1.1
Formulates questions for a survey (based on age-appropriate topics, students' language level, etc.)
-
-
6.ST.1.1.2
Collects, describes and organizes data (classifies or categorizes) using tables
-
-
6.135Create Frequency Tables5
-
-
6.ST.1.1.3
Interprets data using a table, a bar graph, a pictograph, a broken-line graph and a circle graph
-
-
6.136Interpret Pictographs20
-
6.137Stem-And-Leaf Plots5
-
6.138Interpret Bar Graphs20
-
6.139Interpret Double Bar Graphs5
-
6.140Circle Graphs with Fractions5
-
6.141Convert Graphs to Input/Output Tables5
-
6.142Interpret Line Graphs5
-
6.143Interpret Double Line Graphs5
-
-
6.ST.1.1.4
Displays data using a table, a bar graph, a pictograph and a broken-line graph
-
-
6.135Create Frequency Tables5
-
6.144Create Pictographs5
-
6.145Create Bar Graphs Using Tables5
-
6.146Create Bar Graphs5
-
6.147Create Double Bar Graphs Using Tables5
-
6.148Create Line Graphs5
-
6.149Create Double Line Graphs Using Tables5
-
6.150Choose the Best Graph Type5
-
-
6.ST.1.1.5
Understands and calculates the arithmetic mean
-
-
6.151Calculate Mode10
-
6.152Calculate Mean, Median, Mode and Range10
-
6.153Calculate Range10
-
6.154Calculate Median10
-
6.155Calculate Mean10
-
6.156Interpret Charts to Find Mode5
-
6.157Interpret Charts to Find Mean, Median, Mode, and Range5
-
6.158Interpret Charts to Find Median5
-
6.159Interpret Charts to Find Range5
-
6.160Interpret Charts to Find Mean5
-
6.161Mean: Find the Missing Number10
-
6.162Range: Find the Missing Number10
-
6.163Mean, Median, Mode, and Range: Find the Missing Number10
-
6.164Mode: Find the Missing Number10
-
6.165Median: Find the Missing Number10
-
-
6.ST.1.1.1
-
Geometry
-
6.G.1.1.1
Locates objects on an axis (based on the types of numbers studied)
-
-
6.G.1.1.2
Locates points in a Cartesian plane in all four quadrants
-
-
6.105Coordinate Graphs Review10
-
6.106Coordinate Graphs with Decimals and Negative Numbers15
-
6.107Coordinate Graphs Review with Whole Numbers10
-
6.108Graph Points on a Coordinate Plane10
-
6.109Relative Coordinates10
-
-
6.G.1.2.1
Compares objects or parts of objects in the environment with solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)
-
-
6.G.1.2.2
Identifies the main solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)
-
6.G.1.2.3
Identifies and represents the different faces of a prism or pyramid
-
-
6.G.1.2.4
Describes prisms and pyramids in terms of faces, vertices and edges
-
-
6.G.1.2.5
Classifies prisms and pyramids
-
-
6.G.1.2.6
Constructs a net of a prism or pyramid
-
-
6.G.1.2.7
Matches the net of a convex polyhedron to the corresponding convex polyhedron
-
-
6.112Nets of 3-Dimensional Figures5
-
-
6.G.1.2.8
Tests Euler's theorem on convex polyhedrons
-
-
6.G.1.3.1
Identifies plane figures (square, rectangle, triangle, rhombus and circle)
-
-
6.113Regular and Irregular Polygons5
-
-
6.G.1.3.2
Describes plane figures (square, rectangle, triangle and rhombus)
-
-
6.G.1.3.3
Describes convex and nonconvex polygons
-
-
6.G.1.3.4
Identifies and constructs parallel lines and perpendicular lines
-
6.G.1.3.5
Describes quadrilaterals (e.g. parallel segments, perpendicular segments, right angles, acute angles, obtuse angles)
-
-
6.115Classify Quadrilateral Shapes5
-
-
6.G.1.3.6
Classifies quadrilaterals
-
-
6.115Classify Quadrilateral Shapes5
-
-
6.G.1.3.7
Describes triangles: scalene triangles, right triangles, isosceles triangles, equilateral triangles
-
-
6.116Types of Triangles5
-
-
6.G.1.3.8
Classifies triangles
-
-
6.116Types of Triangles5
-
-
6.G.1.3.9
Describes circles
-
-
6.117Parts of a Circle5
-
-
6.G.1.4.1
Identifies congruent figures
-
-
6.118Similar and Congruent Figures5
-
-
6.G.1.4.2a
Observes and produces frieze patterns and tessellations using reflections
-
6.G.1.4.2b
Observes and produces frieze patterns and tessellations using translations
-
6.G.1.1.1
-
Arithmetic: Understanding and writing numbers
-
6.ARTU.1.1.10
Locates natural numbers using different visual aids (e.g. hundreds chart, number strip, number line)
-
-
6.ARTU.1.1.11a
Identifies properties of natural numbers up to 1000000 as odd or even numbers
-
-
6.3Even or Odd I10
-
6.4Select Even or Odd10
-
-
6.ARTU.1.1.11b
Identifies properties of natural numbers up to 1000000 as square, prime or composite numbers
-
-
6.5Prime and Composite Numbers10
-
-
6.ARTU.1.1.12
Classifies natural numbers in various ways, based on their properties (e.g. even numbers, composite numbers)
-
-
6.3Even or Odd I10
-
6.4Select Even or Odd10
-
6.5Prime and Composite Numbers10
-
-
6.ARTU.1.1.13
Approximates a collection, using objects or drawings (e.g. estimate, round up/down to a given value)
-
-
6.ARTU.1.1.14
Represents the power of a natural number up to 1000000
-
6.ARTU.1.1.1a
Counts or recites counting rhymes involving natural numbers up to 1000000
-
-
6.ARTU.1.1.1b
counts forward or backward to 1000000
-
-
6.ARTU.1.1.1c
skip counts (e.g. by twos) to 1000000
-
-
6.ARTU.1.1.2a
Counts collections (using objects or drawings)
-
-
6.ARTU.1.1.2b
counts a collection by grouping or regrouping
-
-
6.ARTU.1.1.2c
counts a pre-grouped collection
-
-
6.ARTU.1.1.3
Reads and writes any natural number up to 1000000
-
6.ARTU.1.1.4
Represents natural numbers up to 1000000 in different ways or associates a number with a set of objects or drawings with emphasis on place value in non-apparent, non-accessible groupings, using materials for which groupings are symbolic (e.g. abacus, money)
-
-
6.ARTU.1.1.5
Composes and decomposes a natural number up to 1000000 in a variety of ways (e.g. 123 = 100 + 23, 123 = 100 + 20 + 3, 123 = 50 + 50 + 20 + 3)
-
-
6.ARTU.1.1.6
Identifies equivalent expressions (e.g. 52 = 40 + 12, 25 + 27 = 40 + 12, 52 = 104 ÷ 2)
-
-
6.ARTU.1.1.7
Compares natural numbers up to 1000000
-
6.ARTU.1.1.8
Arranges natural numbers up to 1000000 in increasing or decreasing order
-
-
6.ARTU.1.1.9
Describes number patterns, using his/her own words and appropriate mathematical vocabulary (e.g. even numbers, odd numbers, square numbers, triangular numbers, prime numbers, composite numbers)
-
-
6.3Even or Odd I10
-
6.4Select Even or Odd10
-
6.5Prime and Composite Numbers10
-
-
6.ARTU.1.2.1
Represents a fraction in a variety of ways, based on a whole or a collection of objects
-
-
6.7Fractions Review5
-
6.8Understanding Fractions10
-
-
6.ARTU.1.2.10
Orders fractions with the same denominator
-
6.ARTU.1.2.11
Orders fractions where one denominator is a multiple of the other(s)
-
-
6.ARTU.1.2.12
Orders fractions with the same numerator
-
6.ARTU.1.2.2
Matches a fraction to part of a whole (congruent or equivalent parts) or part of a group of objects, and vice versa
-
-
6.7Fractions Review5
-
6.8Understanding Fractions10
-
6.9Fraction20
-
-
6.ARTU.1.2.3
Identifies the different meanings of fractions (sharing, division, ratio)
-
-
6.7Fractions Review5
-
6.8Understanding Fractions10
-
6.10Describe Pictures as Ratios5
-
6.11Ratios5
-
-
6.ARTU.1.2.4
Distinguishes a numerator from a denominator
-
-
6.ARTU.1.2.6
Reads and writes a fraction
-
-
6.ARTU.1.2.7
Compares a fraction to 0, 1/2 or 1
-
-
6.ARTU.1.2.8
Verifies whether two fractions are equivalent
-
-
6.12Make Equivalent Fractions20
-
6.13Reduce to Lowest Terms20
-
6.14Reducing Fractions to Lowest Terms20
-
-
6.ARTU.1.2.9
Matches a decimal or percentage to a fraction
-
6.ARTU.1.3.1
Represents decimals up to thousandths in a variety of ways (using objects or drawings)
-
-
6.18Decimals with Models10
-
-
6.ARTU.1.3.10a
Matches a fraction to its decimal
-
6.ARTU.1.3.10b
Matches a fraction or percentage to its decimal
-
6.ARTU.1.3.2
Identifies equivalent representations (using objects or drawings)
-
-
6.ARTU.1.3.3
Reads and writes numbers written in decimal notation up to thousandths
-
6.ARTU.1.3.4
Composes and decomposes a decimal written in decimal notation
-
-
6.ARTU.1.3.5
Recognizes equivalent expressions (e.g. 12 tenths is equivalent to 1 unit and 2 tenths; 0.5 is equivalent to 0.50)
-
-
6.20Choose Equivalent Decimals15
-
-
6.ARTU.1.3.6a
Locates decimals on a number line up to thousandths between two consecutive natural numbers
-
-
6.ARTU.1.3.6b
Locates decimals on a number line up to thousandths between two decimals
-
-
6.ARTU.1.3.7
Compares two decimals up to the thousandths place
-
-
6.ARTU.1.3.8
Approximates (e.g. estimates, rounds to a given value, truncates decimal places)
-
-
6.22Round Decimals15
-
-
6.ARTU.1.3.9
Arranges decimals in increasing or decreasing order
-
6.ARTU.1.4.1
Represents integers in a variety of ways (using objects or drawings) (e.g. tokens in two different colours, number line, thermometer, football field, elevator, hot air balloon)
-
-
6.24Integers: Understanding Integers5
-
6.25Understanding Integers5
-
-
6.ARTU.1.4.2
Reads and writes integers
-
6.ARTU.1.4.3
Locates integers on a number line or Cartesian plane
-
-
6.ARTU.1.4.4
Compares integers
-
-
6.27Put Rational Numbers in Order15
-
-
6.ARTU.1.4.5
Arranges integers in increasing or decreasing order
-
-
6.27Put Rational Numbers in Order15
-
-
6.ARTU.1.1.10
-
Arithmetic: Operations involving numbers
-
6.ARTO.1.1.10
Calculates the power of a number
-
-
6.72Evaluate Exponents15
-
-
6.ARTO.1.1.11
Determines the divisibility of a number by 2, 3, 4, 5, 6, 8, 9, 10
-
6.ARTO.1.1.12
Performs a series of operations in accordance with the order of operations
-
-
6.34Simplify Expressions15
-
-
6.ARTO.1.1.13a
Using his/her own words and mathematical language that is at an appropriate level for the cycle, describes non-numerical patterns (e.g. series of colours, shapes, sounds, gestures)
-
-
6.73Mixed Patterns5
-
-
6.ARTO.1.1.13b
Using his/her own words and mathematical language that is at an appropriate level for the cycle, describes numerical patterns (e.g. number rhymes, tables and charts)
-
-
6.74Increasing Growth Patterns15
-
6.75Geometric Growth Patterns15
-
6.76Counting and Number Patterns: Skip-Counting Sequences20
-
6.77Numeric Patterns15
-
-
6.ARTO.1.1.13c
Using his/her own words and mathematical language that is at an appropriate level for the cycle, describes series of numbers and family of operations
-
6.ARTO.1.1.14
Adds new terms to a series when the first three terms or more are given
-
-
6.74Increasing Growth Patterns15
-
6.75Geometric Growth Patterns15
-
6.76Counting and Number Patterns: Skip-Counting Sequences20
-
6.77Numeric Patterns15
-
-
6.ARTO.1.1.15a
Uses a calculator and becomes familiar with its basic functions (+, -, =, 0 to 9 number keys, all clear, clear)
-
-
6.ARTO.1.1.15b
Uses a calculator and becomes familiar with its × and÷ functions
-
-
6.ARTO.1.1.15c
Uses a calculator and becomes familiar with memory keys and change of sign keys (+/-)
-
-
6.ARTO.1.1.1a
Approximates the result of an addition or subtraction involving natural numbers up to 1000000
-
-
6.49Estimate Differences20
-
6.50Estimate Sums with Numbers Up to 100,00020
-
6.51Estimate Differences20
-
6.52Estimate Sums20
-
-
6.ARTO.1.1.1b
Approximates the result of any of the four operations involving natural numbers up to 1000000
-
-
6.31Estimate Mixed Equations20
-
6.49Estimate Differences20
-
6.50Estimate Sums with Numbers Up to 100,00020
-
6.51Estimate Differences20
-
6.52Estimate Sums20
-
6.53Estimate Products Up to 100020
-
6.54Estimate Quotients20
-
6.55Estimate Quotients Up to 100020
-
6.56Estimate Quotients Up to 10,00020
-
-
6.ARTO.1.1.2a
Builds a repertoire of memorized addition and subtraction facts to develop various strategies that promote mastery of number facts and relates them to the properties of addition
-
-
6.28Subtraction with Numbers Up to 50000005
-
6.29Numbers Up to 500000020
-
6.57Add Two Numbers Up to 500000025
-
6.58Subtraction with Numbers Up to 50000005
-
6.59Properties of Addition15
-
-
6.ARTO.1.1.2b
Builds a repertoire of memorized addition and subtraction facts to master all addition facts (0 + 0 to 10 + 10) and the corresponding subtraction facts
-
-
6.ARTO.1.1.3a
Develops processes for mental computation that uses their own processes to determine the sum or difference of two natural numbers
-
-
6.28Subtraction with Numbers Up to 50000005
-
6.29Numbers Up to 500000020
-
6.31Estimate Mixed Equations20
-
6.49Estimate Differences20
-
6.50Estimate Sums with Numbers Up to 100,00020
-
6.51Estimate Differences20
-
6.52Estimate Sums20
-
6.57Add Two Numbers Up to 500000025
-
6.58Subtraction with Numbers Up to 50000005
-
-
6.ARTO.1.1.3b
Develops processes for mental computation that uses their own processes to determine the product or quotient of two natural numbers
-
-
6.31Estimate Mixed Equations20
-
6.53Estimate Products Up to 100020
-
6.54Estimate Quotients20
-
6.55Estimate Quotients Up to 100020
-
6.56Estimate Quotients Up to 10,00020
-
6.60Multiply Two Numbers Up to 10020
-
6.35Multiplication Up to 100015
-
6.61Division with Remainder with Divisor Up to 100015
-
6.39Division with Divisors Up to 10015
-
-
6.ARTO.1.1.4a
Develops processes for written computation (addition and subtraction) and uses conventional processes to determine the sum of two natural numbers of up to four digits
-
-
6.28Subtraction with Numbers Up to 50000005
-
6.29Numbers Up to 500000020
-
6.57Add Two Numbers Up to 500000025
-
6.58Subtraction with Numbers Up to 50000005
-
6.62Mixed Equations with Whole Numbers15
-
-
6.ARTO.1.1.4b
Develops processes for written computation (addition and subtraction) and uses conventional processes to determine the difference between two natural numbers of up to four digits whose result is greater than 0
-
-
6.28Subtraction with Numbers Up to 50000005
-
6.29Numbers Up to 500000020
-
6.57Add Two Numbers Up to 500000025
-
6.58Subtraction with Numbers Up to 50000005
-
6.62Mixed Equations with Whole Numbers15
-
-
6.ARTO.1.1.5
Determines the missing term in an equation (relationships between operations): a + b =__, a + __ = c, __ + b = c, a - b = __, a - __= c, __ - b = c
-
-
6.ARTO.1.1.6a
Builds a repertoire of memorized multiplication and division facts and develops various strategies that promote mastery of number facts and relate them to the properties of multiplication
-
-
6.53Estimate Products Up to 100020
-
6.54Estimate Quotients20
-
6.55Estimate Quotients Up to 100020
-
6.56Estimate Quotients Up to 10,00020
-
6.60Multiply Two Numbers Up to 10020
-
6.35Multiplication Up to 100015
-
6.36Multiplication with Operands Up to 100 III20
-
6.61Division with Remainder with Divisor Up to 100015
-
6.37Multiply Three or More Numbers20
-
6.38Multiply Three or More Numbers Up to 10020
-
6.39Division with Divisors Up to 10015
-
6.40Divide Numbers Ending in Zeroes15
-
6.63Multiply Numbers Up to 1000 Ending in Zeros15
-
6.64Multiply 3, 4 Numbers Up to 10020
-
6.65Divisibility Rules with Numbers Up to 10,00020
-
6.66Divisibility Rules with Dividend Up to 10,000,00020
-
6.67Divisibility Rules20
-
6.68Division Patterns with Zeroes15
-
6.69Choose Properties of Multiplication15
-
6.70Factors of Multiplication15
-
6.71Properties of Multiplication with Factors Up to 1215
-
-
6.ARTO.1.1.6b
Builds a repertoire of memorized multiplication and division facts and masters all multiplication facts (0 × 0 to 10 × 10) and the corresponding division facts
-
-
6.ARTO.1.1.7
Develops processes for written computation (multiplication and division)
-
-
6.ARTO.1.1.7a
Develops processes for written computation (multiplication and division) and uses conventional processes to determine the product of a three-digit natural number and a two-digit natural number
-
-
6.ARTO.1.1.7b
Develops processes for written computation (multiplication and division) and uses conventional processes to determine the quotient of a four-digit natural number and a two-digit natural number, expresses the remainder of a division as a decimal that does not go beyond the second decimal place
-
-
6.ARTO.1.1.8
Determines the missing term in an equation (relationships between operations): a x b = __
-
-
6.ARTO.1.1.9
Decomposes a number into prime factors
-
-
6.5Prime and Composite Numbers10
-
-
6.ARTO.1.2.1
Generates a set of equivalent fractions
-
-
6.81Equivalent Ratios5
-
6.12Make Equivalent Fractions20
-
-
6.ARTO.1.2.2
Reduces a fraction to its simplest form (lowest terms)
-
-
6.13Reduce to Lowest Terms20
-
6.14Reducing Fractions to Lowest Terms20
-
-
6.ARTO.1.2.3
Adds and subtracts fractions when the denominator of one fraction is a multiple of the other fraction(s)
-
-
6.ARTO.1.2.4
Multiplies a natural number by a fraction
-
6.ARTO.1.3.1a
Approximates the result of an addition or a subtraction of decimals to the thousandth place
-
6.ARTO.1.3.1b
Approximates the result of a multiplication or division of decimals to the thousandth place
-
6.ARTO.1.3.2a
Develops processes for mental computation: adds and subtracts decimals to the thousandth place
-
6.ARTO.1.3.2b
Develops processes for mental computation: performs operations involving decimals (multiplication, division by a natural number) to the thousandth place
-
-
6.43Multiply Decimals Using Grids10
-
6.90Multiply Decimals with Numbers Up to 100015
-
6.91Multiply Decimals with Numbers Up to 1020
-
6.92Multiply Decimals and Whole Numbers20
-
6.93Multiply Decimals5
-
6.94Multiply Decimals with Numbers Up to 10015
-
6.95Inequalities with Decimal Multiplication20
-
6.96Divide Decimals by Whole Numbers15
-
6.97Divide Decimals by Whole Numbers15
-
6.98Multiply and Divide Decimals by Powers of Ten15
-
6.99Division with Decimals15
-
6.100Division with Decimal Quotients15
-
6.101Inequalities with Decimal Division15
-
6.102Evaluate Expressions with Decimals15
-
-
6.ARTO.1.3.2c
multiplies and divides by 10, 100, 1000
-
6.ARTO.1.3.3a
Develops processes for written computation where students add and subtract decimals whose result does not go beyond the second decimal place
-
-
6.86Add and Subtract Decimal Numbers Up to 3 Places20
-
6.87Add and Subtract Decimals Up to 1020
-
6.88Add and Subtract Decimal Up to 10015
-
6.89Add and Subtract Decimals15
-
-
6.ARTO.1.3.3b
Develops processes for written computation where students multiply decimals whose product does not go beyond the second decimal place
-
-
6.43Multiply Decimals Using Grids10
-
6.93Multiply Decimals5
-
6.94Multiply Decimals with Numbers Up to 10015
-
-
6.ARTO.1.3.3c
Develops processes for written computation where students divide a decimal by a natural number less than 11
-
-
6.ARTO.1.4.1
Expresses a decimal as a fraction, and vice versa
-
6.ARTO.1.4.2
Expresses a decimal as a percentage, and vice versa
-
6.ARTO.1.4.3
Expresses a fraction as a percentage, and vice versa
-
6.ARTO.1.4.4
Chooses an appropriate number form for a given context
-
-
6.103Compare Fractions15
-
6.104Compare Ratios5
-
-
6.ARTO.1.1.10