Grade 5 Standards - Math Games

5

Grade 5 Standards

Top Mathematicians

Statistics
- 5.ST.1.1.1
  Formulates questions for a survey (based on age-appropriate topics, students' language level, etc.)
- 5.ST.1.1.2
  Collects, describes and organizes data (classifies or categorizes) using tables
- 5.ST.1.1.3
  Interprets data using a table, a bar graph, a pictograph, a broken-line graph and a circle graph
- - 5.50
    
    5
    
    Convert Graphs to Input/Output Tables
  - 5.146
    
    5
    
    Interpret Line Graphs
  - 5.147
    
    20
    
    Interpret Bar Graphs
  - 5.148
    
    20
    
    Interpret Pictographs
  - 5.149
    
    5
    
    Create Frequency Tables
  - 5.150
    
    5
    
    Circle Graphs with Fractions
- 5.ST.1.1.4
  Displays data using a table, a bar graph, a pictograph and a broken-line graph
- - 5.151
    
    5
    
    Create Line Graphs
  - 5.152
    
    5
    
    Create Bar Graphs Using Tables
  - 5.153
    
    5
    
    Create Bar Graphs
  - 5.154
    
    5
    
    Create Pictographs
  - 5.155
    
    5
    
    Choose the Best Graph Type
- 5.ST.1.1.5
  Understands and calculates the arithmetic mean
- - 5.156
    
    10
    
    Calculate Mean
  - 5.157
    
    10
    
    Calculate Mode
  - 5.158
    
    10
    
    Calculate Median
  - 5.159
    
    10
    
    Calculate Mean, Median, Mode and Range
  - 5.160
    
    10
    
    Mean, Median, Mode, and Range: Find the Missing Number
  - 5.161
    
    5
    
    Interpret Charts to Find Mean, Median, Mode, and Range
  - 5.162
    
    5
    
    Interpret Charts to Find Median
  - 5.163
    
    5
    
    Interpret Charts to Find Mean
  - 5.164
    
    5
    
    Interpret Charts to Find Mode
Probability
- 5.PR.1.1.1
  When applicable, recognizes variability in possible outcomes (uncertainty)
- - 5.165
    
    5
    
    Probability of Simple Events
  - 5.166
    
    5
    
    Probability Problems
- 5.PR.1.1.10
  Recognizes that a probability is always between 0 and 1
- 5.PR.1.1.11
  Uses fractions, decimals or percentages to quantify a probability
- 5.PR.1.1.12
  Compares the outcomes of a random experiment with known theoretical probabilities
- - 5.168
    
    5
    
    Making Predictions
  - 5.169
    
    5
    
    Prediction Problems
- 5.PR.1.1.13
  Simulates random experiments with or without the use of technology
- 5.PR.1.1.2
  When applicable, recognizes equiprobability (e.g. quantity, symmetry of an object [cube])
- - 5.165
    
    5
    
    Probability of Simple Events
  - 5.166
    
    5
    
    Probability Problems
- 5.PR.1.1.3
  When applicable, becomes aware of the independence of events in an experiment
- 5.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)
- - 5.165
    
    5
    
    Probability of Simple Events
  - 5.166
    
    5
    
    Probability Problems
- 5.PR.1.1.5a
  Predicts qualitatively an outcome or several events using a probability line, among other things as certain, possible or impossible outcome
- - 5.165
    
    5
    
    Probability of Simple Events
  - 5.166
    
    5
    
    Probability Problems
- 5.PR.1.1.5b
  Predicts qualitatively an outcome or several events using a probability line, among other things as more likely, just as likely, less likely event
- - 5.165
    
    5
    
    Probability of Simple Events
  - 5.166
    
    5
    
    Probability Problems
- 5.PR.1.1.6
  Distinguishes between prediction and outcome
- 5.PR.1.1.7
  Uses tables or diagrams to collect and display the outcomes of an experiment
- 5.PR.1.1.8
  Enumerates possible outcomes of a random experiment, using a table, a tree diagram
- - 5.167
    
    10
    
    Combination and Permutation Notation
- 5.PR.1.1.9
  Compares qualitatively the theoretical or experimental probability of events
Arithmetic: Meaning of operations involving numbers
- 5.ARTM.1.1.1
  Determines the operation(s) to perform in a given situation
- - 5.39
    
    5
    
    Subtraction with Numbers Up to 5000000
  - 5.40
    
    20
    
    Numbers Up to 5000000
  - 5.41
    
    20
    
    Estimate Differences
  - 5.42
    
    20
    
    Estimate Sums
  - 5.43
    
    15
    
    Add and Subtract Decimals
  - 5.44
    
    20
    
    Add and Subtract Decimals Up to 10
  - 5.45
    
    15
    
    Add and Subtract Decimal Up to 100
  - 5.46
    
    15
    
    Mixed Equations with Whole Numbers
  - 5.47
    
    20
    
    Multi-Step
  - 5.48
    
    20
    
    Extra or Missing Information
  - 5.49
    
    20
    
    Solve Using Guess-And-Check
  - 5.50
    
    5
    
    Convert Graphs to Input/Output Tables
- 5.ARTM.1.1.2a
  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 and subtraction)
- 5.ARTM.1.1.2b
  Uses objects, diagrams or equations to represent and describe transformations with natural numbers up to 1000000: adding, taking away, uniting, comparing
- - 5.39
    
    5
    
    Subtraction with Numbers Up to 5000000
  - 5.40
    
    20
    
    Numbers Up to 5000000
- 5.ARTM.1.1.2c
  Uses objects, diagrams or equations to represent and describe the composition of transformations (positive or negative) with natural numbers up to 1000000
- 5.ARTM.1.1.2d
  Uses objects, diagrams, or equations to represent and describe the composition of mixed transformations with natural numbers up too 1000000.
- 5.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 (using objects, diagrams or equations) with natural numbers up to 1000000
- - 5.51
    
    20
    
    Multiplication
  - 5.52
    
    20
    
    Multiplication with Operands Up to 100 III
  - 5.53
    
    15
    
    Multiplication Up to 1000
  - 5.54
    
    15
    
    Multiply Three or More Numbers Up to 1000
  - 5.55
    
    20
    
    Division with Divisors Up to 100
  - 5.56
    
    20
    
    Division with Dividends Up to 60
  - 5.57
    
    20
    
    Division with Dividend Up to 1000
  - 5.58
    
    15
    
    Divide Numbers Ending in Zeroes
  - 5.59
    
    10
    
    Multiply Money Amounts
  - 5.60
    
    5
    
    Use Venn Diagrams to Solve Problems
  - 5.61
    
    10
    
    Area of Squares and Rectangles
- 5.ARTM.1.1.4
  Establishes equality relations between numerical expressions (e.g. 3 + 2 = 6 - 1)
- 5.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
- - 5.62
    
    15
    
    Properties of Addition
  - 5.63
    
    15
    
    Factors of Multiplication
  - 5.64
    
    15
    
    Choose Properties of Multiplication
  - 5.65
    
    15
    
    Properties of Multiplication with Factors Up to 12
- 5.ARTM.1.1.6
  Translates a situation using a series of operations in accordance with the order of operations
- - 5.47
    
    20
    
    Multi-Step
- 5.ARTM.1.2.1a
  Uses objects, diagrams or equations to represent and describe transformations with decimals to the thousandth place value: composition of mixed transformations
- 5.ARTM.1.2.1b
  Uses objects, diagrams or equations to represent and describe transformations with decimals to the thousandth place value: adding, taking away, uniting, comparing
- - 5.43
    
    15
    
    Add and Subtract Decimals
  - 5.44
    
    20
    
    Add and Subtract Decimals Up to 10
  - 5.45
    
    15
    
    Add and Subtract Decimal Up to 100
  - 5.66
    
    5
    
    Maps with Decimal Distances
- 5.ARTM.1.2.1c
  Uses objects, diagrams or equations to represent and describe transformations with decimals to the thousandth place value: composition of transformations: positive, negative
- 5.ARTM.1.2.1d
  Uses objects, diagrams or equations to represent and describe transformations with decimals to the thousandth place value: composition of mixed transformations
- 5.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)
- - 5.59
    
    10
    
    Multiply Money Amounts
  - 5.67
    
    20
    
    Multiply Decimals and Whole Numbers
- 5.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 with decimals up to the thousandth place value
- 5.ARTM.1.2.4
  Translates a situation into a series of operations in accordance with the order of operations with decimals up to the thousandth place value
- - 5.47
    
    20
    
    Multi-Step
- 5.ARTM.1.3.1
  Uses objects, diagrams or equations to represent a situation using fractions (use of different meanings of addition, subtraction and multiplication by a natural number)
- - 5.68
    
    20
    
    Multiply Fractions by Whole Numbers with Tables
Geometry
- 5.G.1.1.1
  Locates objects on an axis (based on the types of numbers studied)
- 5.G.1.1.2
  Locates points in a Cartesian plane in all four quadrants
- - 5.34
    
    15
    
    Coordinate Graphs with Decimals and Negative Numbers
  - 5.35
    
    10
    
    Coordinate Graphs Review
  - 5.36
    
    10
    
    Coordinate Graphs Review with Whole Numbers
  - 5.114
    
    10
    
    Graph Points on a Coordinate Plane
- 5.G.1.2.1
  Compares objects or parts of objects in the environment with solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)
- 5.G.1.2.2
  Identifies the main solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)
- - 5.115
    
    5
    
    Identify Planar and Solid Shapes
  - 5.116
    
    5
    
    Identify Simple and Complex Solid Shapes
- 5.G.1.2.3
  Identifies and represents the different faces of a prism or pyramid
- 5.G.1.2.4
  Describes prisms and pyramids in terms of faces, vertices and edges
- - 5.117
    
    5
    
    Count Edges
  - 5.118
    
    5
    
    Count Vertices
  - 5.119
    
    5
    
    Count Faces
  - 5.120
    
    5
    
    Count Edges, Vertices and Faces
- 5.G.1.2.5
  Classifies prisms and pyramids
- 5.G.1.2.6
  Constructs a net of a prism or pyramid
- 5.G.1.2.7
  Matches the net of a convex polyhedron to the corresponding convex polyhedron
- - 5.121
    
    5
    
    Nets of 3-Dimensional Figures
- 5.G.1.2.8
  Tests Euler's theorem on convex polyhedrons
- 5.G.1.3.1
  Identifies plane figures (square, rectangle, triangle, rhombus and circle)
- - 5.122
    
    5
    
    Types of Triangles
  - 5.123
    
    5
    
    Classify Quadrilateral Shapes
- 5.G.1.3.2
  Describes plane figures (square, rectangle, triangle and rhombus)
- - 5.124
    
    5
    
    Which Shape Is Described?
  - 5.125
    
    5
    
    Number of Sides in Polygons
  - 5.126
    
    5
    
    Which 2 Dimensional Shape Is Described?
- 5.G.1.3.3
  Describes convex and nonconvex polygons
- 5.G.1.3.4
  Identifies and constructs parallel lines and perpendicular lines
- - 5.127
    
    5
    
    Parallel, Perpendicular, Intersecting
- 5.G.1.3.5
  Describes quadrilaterals (e.g. parallel segments, perpendicular segments, right angles, acute angles, obtuse angles)
- 5.G.1.3.6
  Classifies quadrilaterals
- - 5.123
    
    5
    
    Classify Quadrilateral Shapes
- 5.G.1.3.7
  Describes triangles: scalene triangles, right triangles, isosceles triangles, equilateral triangles
- 5.G.1.3.8
  Classifies triangles
- - 5.122
    
    5
    
    Types of Triangles
- 5.G.1.3.9
  Describes circles
- 5.G.1.4.1
  Identifies congruent figures
- 5.G.1.4.2a
  Observes and produces frieze patterns and tessellations using reflections
- - 5.128
    
    5
    
    Identify Reflections, Rotations and Translations
- 5.G.1.4.2b
  Observes and produces frieze patterns and tessellations using translations
- - 5.128
    
    5
    
    Identify Reflections, Rotations and Translations
Measurement
- 5.MT.1.1.1
  Estimates and measures the dimensions of an object using conventional units of metre, decimetre, centimetre, millimetre and kilometre
- - 5.129
    
    5
    
    Which Metric Unit Is Appropriate?
- 5.MT.1.1.2
  Establishes relationships between units of measure for length using metre, decimetre, centimetre, millimetre and kilometre
- - 5.130
    
    5
    
    Compare and Convert Metric Units
- 5.MT.1.1.3
  Calculates the perimeter of plane figures
- - 5.131
    
    5
    
    Find the Perimeter
  - 5.132
    
    5
    
    Perimeter: Find the Missing Side Length
  - 5.133
    
    15
    
    Perimeter with Unit Squares
  - 5.134
    
    15
    
    Use Area and Perimeter to Determine the Cost
- 5.MT.1.2.1
  Estimates and measures surface area using conventional units
- - 5.135
    
    5
    
    Surface Area
  - 5.136
    
    5
    
    Volume of Cubes and Rectangular Prisms
- 5.MT.1.3.1
  Estimates and measures volume using conventional units
- - 5.137
    
    15
    
    Volume of Rectangular Prisms Made of Unit Cubes
  - 5.136
    
    5
    
    Volume of Cubes and Rectangular Prisms
- 5.MT.1.4.1
  Compares angles
- - 5.138
    
    5
    
    Acute, Right, Obtuse, and Straight Angles
  - 5.139
    
    5
    
    Angles of 90, 180, 270 and 360 Degrees
  - 5.140
    
    10
    
    Identify Angles
- 5.MT.1.4.2
  Estimates and determines the degree measurement of angles
- - 5.140
    
    10
    
    Identify Angles
- 5.MT.1.5.1
  Estimates and measures capacity using unconventional units
- 5.MT.1.5.2
  Estimates and measures capacity using conventional units
- - 5.129
    
    5
    
    Which Metric Unit Is Appropriate?
- 5.MT.1.5.3
  Establishes relationships between units of measure (e.g. : 1 L = 1000 mL, 1/2 L = 500 mL)
- - 5.130
    
    5
    
    Compare and Convert Metric Units
- 5.MT.1.6.1
  Estimates and measures mass using unconventional units
- 5.MT.1.6.2
  Estimates and measures mass using conventional units
- - 5.129
    
    5
    
    Which Metric Unit Is Appropriate?
- 5.MT.1.6.3
  Establishes relationships between units of measure (e.g. : 1 kg = 1000 g, 1/2 kg = 500 g)
- - 5.130
    
    5
    
    Compare and Convert Metric Units
- 5.MT.1.7.1
  Estimates and measures time using conventional units
- - 5.100
    
    15
    
    Time Patterns
  - 5.141
    
    20
    
    Find the Change in Time I
  - 5.142
    
    20
    
    Change in Time Review
  - 5.143
    
    5
    
    Find Start and End Times
- 5.MT.1.7.2
  Establishes relationships between units of measure
- - 5.144
    
    5
    
    Convert Time Units
  - 5.145
    
    5
    
    Add and Subtract Mixed Time Units
- 5.MT.1.8.1
  Estimates and measures temperature using conventional units
Arithmetic: Understanding and writing numbers
- 5.ARTU.1.1.1.c
  skip counts (e.g. by twos) up to 1000000
- 5.ARTU.1.1.10
  Locates natural numbers up to 1000000 using different visual aids (e.g. hundreds chart, number strip, number line)
- 5.ARTU.1.1.11a
  Identifies properties of natural numbers up to 1000000 as odd or even numbers
- - 5.7
    
    10
    
    Even or Odd I
  - 5.8
    
    10
    
    Select Even or Odd
- 5.ARTU.1.1.11b
  Identifies properties of natural numbers up to 1000000 as square, prime or composite numbers
- - 5.9
    
    10
    
    Prime and Composite Numbers
- 5.ARTU.1.1.12
  Classifies natural numbers in various ways, based on their properties (e.g. even numbers, composite numbers)
- - 5.7
    
    10
    
    Even or Odd I
  - 5.8
    
    10
    
    Select Even or Odd
  - 5.9
    
    10
    
    Prime and Composite Numbers
- 5.ARTU.1.1.13
  Approximates a collection, using objects or drawings (e.g. estimate, round up/down to a given value)
- 5.ARTU.1.1.14
  Represents the power of a natural number
- - 5.10
    
    10
    
    Write Multiplication Expressions Using Exponents
- 5.ARTU.1.1.1a
  Counts or recites counting rhymes involving natural numbers up to 1000000
- 5.ARTU.1.1.1b
  counts forward or backward up to 1000000
- 5.ARTU.1.1.2a
  Counts collections (using objects or drawings)
- 5.ARTU.1.1.2b
  counts a collection by grouping or regrouping
- 5.ARTU.1.1.2c
  counts a pre-grouped collection
- 5.ARTU.1.1.3
  Reads and writes any natural number up to 1000000
- - 5.1
    
    15
    
    Counting and Number Patterns: Writing Numbers in Words
- 5.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)
- 5.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)
- - 5.2
    
    20
    
    Choose Numbers with a Particular Difference
  - 5.3
    
    20
    
    Choose Numbers with a Particular Sum
  - 5.4
    
    20
    
    Choose Numbers with a Particular Product
  - 5.5
    
    15
    
    Choose Numbers with a Particular Quotient
- 5.ARTU.1.1.6
  Identifies equivalent expressions (e.g. 52 = 40 + 12, 25 + 27 = 40 + 12, 52 = 104 ÷ 2)
- 5.ARTU.1.1.7
  Compares natural numbers up to 1000000
- - 5.6
    
    25
    
    Compare Numbers Up to 10000000
- 5.ARTU.1.1.8
  Arranges natural numbers up to 1000000 in increasing or decreasing order
- 5.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)
- - 5.7
    
    10
    
    Even or Odd I
  - 5.8
    
    10
    
    Select Even or Odd
  - 5.9
    
    10
    
    Prime and Composite Numbers
- 5.ARTU.1.2.1
  Represents a fraction in a variety of ways, based on a whole or a collection of objects
- - 5.11
    
    5
    
    Fractions Review
- 5.ARTU.1.2.10
  Orders fractions where one denominator is a multiple of the other(s)
- 5.ARTU.1.2.11
  Orders fractions with the same numerator
- - 5.21
    
    15
    
    Put Fractions in Order Up to Twentieths
- 5.ARTU.1.2.12
  Locates fractions on a number line
- 5.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
- - 5.11
    
    5
    
    Fractions Review
  - 5.12
    
    20
    
    Fraction
- 5.ARTU.1.2.3
  Identifies the different meanings of fractions (sharing, division, ratio)
- - 5.12
    
    20
    
    Fraction
- 5.ARTU.1.2.4
  Distinguishes a numerator from a denominator
- 5.ARTU.1.2.5
  Reads and writes a fraction
- 5.ARTU.1.2.6
  Compares a fraction to 0, 1/2 or 1
- 5.ARTU.1.2.7
  Verifies whether two fractions are equivalent
- - 5.13
    
    15
    
    Choose the Equivalent Fraction Up to Twentieths
  - 5.14
    
    15
    
    Choose the Equivalent Fraction
  - 5.15
    
    20
    
    Patterns of Equivalent Fractions
  - 5.16
    
    20
    
    Reducing Fractions to Lowest Terms
  - 5.17
    
    20
    
    Reduce to Lowest Terms
- 5.ARTU.1.2.8
  Matches a decimal or percentage to a fraction
- - 5.18
    
    15
    
    Convert Fractions and Mixed Numbers to Decimals
  - 5.19
    
    15
    
    Convert Decimals to Fractions and Mixed Numbers
  - 5.20
    
    15
    
    Convert Between Percents, Fractions and Decimals
- 5.ARTU.1.2.9
  Orders fractions with the same denominator
- - 5.21
    
    15
    
    Put Fractions in Order Up to Twentieths
- 5.ARTU.1.3.1
  Represents decimals up to thousandths in a variety of ways (using objects or drawings)
- - 5.23
    
    10
    
    Decimals with Models
- 5.ARTU.1.3.10a
  Matches a fraction to its decimal
- - 5.18
    
    15
    
    Convert Fractions and Mixed Numbers to Decimals
  - 5.19
    
    15
    
    Convert Decimals to Fractions and Mixed Numbers
  - 5.23
    
    10
    
    Decimals with Models
- 5.ARTU.1.3.10b
  Matches a fraction or percentage to its decimal
- - 5.18
    
    15
    
    Convert Fractions and Mixed Numbers to Decimals
  - 5.19
    
    15
    
    Convert Decimals to Fractions and Mixed Numbers
- 5.ARTU.1.3.2
  Identifies equivalent representations (using objects or drawings)
- 5.ARTU.1.3.3
  Reads and writes numbers written in decimal notation up to the thousandths place
- - 5.24
    
    10
    
    Understanding Decimals Expressed in Words
- 5.ARTU.1.3.4
  Composes and decomposes a decimal written in decimal notation up to the thousandths place
- - 5.25
    
    10
    
    Identify Place Values in Decimal Numbers
- 5.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)
- - 5.26
    
    15
    
    Choose Equivalent Decimals
- 5.ARTU.1.3.6a
  Locates decimals on a number line up to the thousandths place between two consecutive natural numbers
- 5.ARTU.1.3.6b
  Locates decimals on a number line up to the thousandths place between two decimals
- 5.ARTU.1.3.7
  Compares two decimals
- - 5.28
    
    15
    
    Compare Decimal Numbers Up to 4 Places
  - 5.29
    
    15
    
    Compare Decimal Numbers Up to 2 Places
- 5.ARTU.1.3.8
  Approximates decimals (e.g. estimates, rounds to a given value, truncates decimal places)
- - 5.30
    
    15
    
    Round Decimals
- 5.ARTU.1.3.9
  Arranges decimals in increasing or decreasing order
- - 5.31
    
    15
    
    Put Decimal Numbers in Order Up to 4 Places
- 5.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)
- - 5.32
    
    5
    
    Integers: Understanding Integers
  - 5.33
    
    5
    
    Understanding Integers
- 5.ARTU.1.4.2
  Reads and writes integers
- - 5.1
    
    15
    
    Counting and Number Patterns: Writing Numbers in Words
- 5.ARTU.1.4.3
  Locates integers on a number line or Cartesian plane
- - 5.34
    
    15
    
    Coordinate Graphs with Decimals and Negative Numbers
  - 5.35
    
    10
    
    Coordinate Graphs Review
  - 5.36
    
    10
    
    Coordinate Graphs Review with Whole Numbers
- 5.ARTU.1.4.4
  Compares integers
- - 5.38
    
    15
    
    Put Rational Numbers in Order
- 5.ARTU.1.4.5
  Arranges integers in increasing or decreasing order
- - 5.38
    
    15
    
    Put Rational Numbers in Order
Arithmetic: Operations involving numbers
- 5.ARTO.1.1.10
  Calculates the power of a number
- 5.ARTO.1.1.11
  Determines the divisibility of a number by 2, 3, 4, 5, 6, 8, 9, 10
- - 5.90
    
    20
    
    Divisibility Rules with Numbers Up to 10,000
  - 5.91
    
    20
    
    Divisibility Rules with Dividend Up to 10,000,000
  - 5.92
    
    20
    
    Divisibility Rules
- 5.ARTO.1.1.12
  Performs a series of operations in accordance with the order of operations
- - 5.93
    
    15
    
    Simplify Expressions
- 5.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)
- - 5.94
    
    5
    
    Mixed Patterns
- 5.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)
- - 5.95
    
    5
    
    Increasing Decimal Division Patterns
  - 5.96
    
    15
    
    Increasing Growth Patterns
  - 5.97
    
    15
    
    Geometric Growth Patterns
  - 5.98
    
    20
    
    Counting and Number Patterns: Skip-Counting Sequences
  - 5.99
    
    15
    
    Numeric Patterns
  - 5.100
    
    15
    
    Time Patterns
  - 5.79
    
    5
    
    Multiplication Patterns Over Increasing Place Values
  - 5.80
    
    20
    
    Increasing Multiplication Patterns with Numbers Up to 10,000
  - 5.83
    
    20
    
    Increasing Division Patterns
  - 5.15
    
    20
    
    Patterns of Equivalent Fractions
- 5.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
- - 5.96
    
    15
    
    Increasing Growth Patterns
  - 5.97
    
    15
    
    Geometric Growth Patterns
  - 5.98
    
    20
    
    Counting and Number Patterns: Skip-Counting Sequences
  - 5.99
    
    15
    
    Numeric Patterns
  - 5.15
    
    20
    
    Patterns of Equivalent Fractions
- 5.ARTO.1.1.14
  Adds new terms to a series when the first three terms or more are given
- - 5.96
    
    15
    
    Increasing Growth Patterns
  - 5.97
    
    15
    
    Geometric Growth Patterns
  - 5.98
    
    20
    
    Counting and Number Patterns: Skip-Counting Sequences
  - 5.99
    
    15
    
    Numeric Patterns
  - 5.15
    
    20
    
    Patterns of Equivalent Fractions
- 5.ARTO.1.1.15a
  Uses a calculator and becomes familiar with its basic functions (+, -, =, 0 to 9 number keys, all clear, clear)
- 5.ARTO.1.1.15b
  Uses a calculator and becomes familiar with its × and ÷ functions
- 5.ARTO.1.1.15c
  Uses a calculator and becomes familiar with memory keys and change of sign keys (+/-)
- 5.ARTO.1.1.1a
  Approximates the result of an addition or subtraction involving natural numbers
- - 5.41
    
    20
    
    Estimate Differences
  - 5.42
    
    20
    
    Estimate Sums
  - 5.69
    
    20
    
    Estimate Differences
  - 5.70
    
    20
    
    Estimate Sums with Numbers Up to 100,000
- 5.ARTO.1.1.1b
  Approximates the result of any of the four operations involving natural numbers
- - 5.41
    
    20
    
    Estimate Differences
  - 5.42
    
    20
    
    Estimate Sums
  - 5.69
    
    20
    
    Estimate Differences
  - 5.70
    
    20
    
    Estimate Sums with Numbers Up to 100,000
  - 5.71
    
    20
    
    Estimate Products Up to 1000
  - 5.72
    
    20
    
    Estimate Quotients
  - 5.73
    
    20
    
    Estimate Quotients Up to 1000
  - 5.74
    
    20
    
    Estimate Quotients Up to 10,000
- 5.ARTO.1.1.2a
  Builds a repertoire of memorized addition and subtraction facts
- 5.ARTO.1.1.2b
  Develops various strategies that promote mastery of number facts and relates them to the properties of addition up to 1000000
- - 5.39
    
    5
    
    Subtraction with Numbers Up to 5000000
  - 5.40
    
    20
    
    Numbers Up to 5000000
  - 5.75
    
    25
    
    Add Two Numbers Up to 5000000
  - 5.76
    
    5
    
    Subtraction with Numbers Up to 5000000
  - 5.77
    
    15
    
    Fill in the Missing Digits
  - 5.78
    
    10
    
    Inequalities with Decimal Addition and Subtraction
  - 5.2
    
    20
    
    Choose Numbers with a Particular Difference
  - 5.3
    
    20
    
    Choose Numbers with a Particular Sum
  - 5.62
    
    15
    
    Properties of Addition
- 5.ARTO.1.1.2c
  Masters all addition facts (0 + 0 to 10 + 10) and the corresponding subtraction facts up to 1000000
- 5.ARTO.1.1.3a
  Develops processes for mental computation and uses their own processes to determine the sum or difference of two natural numbers up to 1000000
- - 5.69
    
    20
    
    Estimate Differences
  - 5.70
    
    20
    
    Estimate Sums with Numbers Up to 100,000
  - 5.75
    
    25
    
    Add Two Numbers Up to 5000000
  - 5.76
    
    5
    
    Subtraction with Numbers Up to 5000000
- 5.ARTO.1.1.3b
  Develops processes for mental computation and uses their own processes to determine the product or quotient of two natural numbers up to 1000000
- - 5.71
    
    20
    
    Estimate Products Up to 1000
  - 5.72
    
    20
    
    Estimate Quotients
  - 5.73
    
    20
    
    Estimate Quotients Up to 1000
  - 5.74
    
    20
    
    Estimate Quotients Up to 10,000
  - 5.79
    
    5
    
    Multiplication Patterns Over Increasing Place Values
  - 5.52
    
    20
    
    Multiplication with Operands Up to 100 III
  - 5.80
    
    20
    
    Increasing Multiplication Patterns with Numbers Up to 10,000
  - 5.81
    
    15
    
    Multiply Numbers Up to 1000 Ending in Zeros
  - 5.53
    
    15
    
    Multiplication Up to 1000
  - 5.82
    
    20
    
    Multiply 3, 4 Numbers Up to 100
  - 5.83
    
    20
    
    Increasing Division Patterns
  - 5.84
    
    15
    
    Division Patterns with Zeroes
  - 5.58
    
    15
    
    Divide Numbers Ending in Zeroes
- 5.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
- 5.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
- 5.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
- 5.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
- - 5.71
    
    20
    
    Estimate Products Up to 1000
  - 5.72
    
    20
    
    Estimate Quotients
  - 5.73
    
    20
    
    Estimate Quotients Up to 1000
  - 5.74
    
    20
    
    Estimate Quotients Up to 10,000
  - 5.79
    
    5
    
    Multiplication Patterns Over Increasing Place Values
  - 5.80
    
    20
    
    Increasing Multiplication Patterns with Numbers Up to 10,000
  - 5.81
    
    15
    
    Multiply Numbers Up to 1000 Ending in Zeros
  - 5.82
    
    20
    
    Multiply 3, 4 Numbers Up to 100
  - 5.83
    
    20
    
    Increasing Division Patterns
  - 5.84
    
    15
    
    Division Patterns with Zeroes
  - 5.4
    
    20
    
    Choose Numbers with a Particular Product
  - 5.5
    
    15
    
    Choose Numbers with a Particular Quotient
  - 5.63
    
    15
    
    Factors of Multiplication
  - 5.64
    
    15
    
    Choose Properties of Multiplication
  - 5.65
    
    15
    
    Properties of Multiplication with Factors Up to 12
  - 5.85
    
    20
    
    Inequalities with Multiplication
- 5.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
- - 5.86
    
    20
    
    Divide Two Numbers with Operands Up to 12
- 5.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
- - 5.53
    
    15
    
    Multiplication Up to 1000
  - 5.87
    
    15
    
    Multiply Two Numbers Up to 100 and Up to 1000
- 5.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
- - 5.88
    
    15
    
    Division with Remainder with Divisor Up to 1000
  - 5.89
    
    15
    
    Division with Divisors Up to 100
- 5.ARTO.1.1.8
  Determines the missing term in an equation (relationships between operations): a — b = __, a — __ = c, __ — b = c
- 5.ARTO.1.1.9
  Decomposes a number into prime factors
- - 5.9
    
    10
    
    Prime and Composite Numbers
- 5.ARTO.1.2.1
  Generates a set of equivalent fractions
- - 5.101
    
    20
    
    Compare Fractions
  - 5.102
    
    10
    
    What Mixed Fraction Is Shown?
  - 5.13
    
    15
    
    Choose the Equivalent Fraction Up to Twentieths
  - 5.14
    
    15
    
    Choose the Equivalent Fraction
  - 5.15
    
    20
    
    Patterns of Equivalent Fractions
  - 5.16
    
    20
    
    Reducing Fractions to Lowest Terms
  - 5.17
    
    20
    
    Reduce to Lowest Terms
- 5.ARTO.1.2.2
  Reduces a fraction to its simplest form (lowest terms)
- - 5.16
    
    20
    
    Reducing Fractions to Lowest Terms
  - 5.17
    
    20
    
    Reduce to Lowest Terms
- 5.ARTO.1.2.3
  Adds and subtracts fractions when the denominator of one fraction is a multiple of the other fraction(s)
- 5.ARTO.1.2.4
  Multiplies a natural number by a fraction
- - 5.103
    
    20
    
    Multiply Fractions by Whole Numbers
  - 5.68
    
    20
    
    Multiply Fractions by Whole Numbers with Tables
- 5.ARTO.1.3.1a
  Approximates the result of an addition or a subtraction using decimals to the thousandth
- - 5.104
    
    15
    
    Estimate Sums and Differences of Decimals Up to 100
  - 5.105
    
    15
    
    Estimate Sums and Differences of Decimals
- 5.ARTO.1.3.1b
  Approximates the result of a multiplication or division using decimals to the thousandth
- - 5.106
    
    15
    
    Estimate Products of Decimal Numbers
- 5.ARTO.1.3.2a
  Develops processes for mental computation adds and subtracts decimals to the thousandth
- - 5.43
    
    15
    
    Add and Subtract Decimals
  - 5.44
    
    20
    
    Add and Subtract Decimals Up to 10
  - 5.45
    
    15
    
    Add and Subtract Decimal Up to 100
  - 5.78
    
    10
    
    Inequalities with Decimal Addition and Subtraction
  - 5.107
    
    20
    
    Add and Subtract Decimal Numbers Up to 3 Places
  - 5.108
    
    20
    
    Choose Decimals with a Particular Sum or Difference
  - 5.109
    
    20
    
    Complete the Addition or Subtraction Sentence
- 5.ARTO.1.3.2b
  Develops processes for mental computation performs operations involving decimals (multiplication, division by a natural number) to the thousandth
- - 5.95
    
    5
    
    Increasing Decimal Division Patterns
  - 5.59
    
    10
    
    Multiply Money Amounts
  - 5.67
    
    20
    
    Multiply Decimals and Whole Numbers
  - 5.110
    
    20
    
    Multiply Decimals Up to 20 Times Factors of 10
  - 5.111
    
    20
    
    Multiply Decimals with Numbers Up to 10
  - 5.112
    
    20
    
    Inequalities with Decimal Multiplication
  - 5.113
    
    15
    
    Multiply and Divide Decimals by Powers of Ten
- 5.ARTO.1.3.2c
  Develops processes for mental computation multiplies and divides by 10, 100, 1000
- - 5.110
    
    20
    
    Multiply Decimals Up to 20 Times Factors of 10
  - 5.113
    
    15
    
    Multiply and Divide Decimals by Powers of Ten
- 5.ARTO.1.3.3a
  Develops processes for written computation adds and subtracts decimals whose result does not go beyond the second decimal place
- - 5.43
    
    15
    
    Add and Subtract Decimals
  - 5.44
    
    20
    
    Add and Subtract Decimals Up to 10
  - 5.45
    
    15
    
    Add and Subtract Decimal Up to 100
  - 5.107
    
    20
    
    Add and Subtract Decimal Numbers Up to 3 Places
- 5.ARTO.1.3.3b
  Develops processes for written computation multiplies decimals whose product does not go beyond the second decimal place
- - 5.95
    
    5
    
    Increasing Decimal Division Patterns
  - 5.67
    
    20
    
    Multiply Decimals and Whole Numbers
  - 5.111
    
    20
    
    Multiply Decimals with Numbers Up to 10
- 5.ARTO.1.3.3c
  Develops processes for written computation divides a decimal by a natural number less than 11
- 5.ARTO.1.4.1
  Expresses a decimal as a fraction, and vice versa
- - 5.18
    
    15
    
    Convert Fractions and Mixed Numbers to Decimals
  - 5.19
    
    15
    
    Convert Decimals to Fractions and Mixed Numbers
- 5.ARTO.1.4.2
  Expresses a decimal as a percentage, and vice versa
- - 5.20
    
    15
    
    Convert Between Percents, Fractions and Decimals
- 5.ARTO.1.4.3
  Expresses a fraction as a percentage, and vice versa
- - 5.20
    
    15
    
    Convert Between Percents, Fractions and Decimals
- 5.ARTO.1.4.4
  Chooses an appropriate number form for a given context