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4Grade 4 Standards
Top Mathematicians
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Probability
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4.PR.1.1.1
When applicable, recognizes variability in possible outcomes (uncertainty)
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4.PR.1.1.10
Simulates random experiments with or without the use of technology
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4.PR.1.1.2
When applicable, recognizes equiprobability (e.g. quantity, symmetry of an object [cube])
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4.174Probability of Simple Events5
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4.175Probability Problems5
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4.PR.1.1.3
When applicable, becomes aware of the independence of events in an experiment
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4.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)
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4.PR.1.1.5a
Predicts qualitatively an outcome or several events using a probability line, among other things: certain, possible or impossible outcomes
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4.PR.1.1.5b
Predicts qualitatively an outcome or several events using a probability line, among other things: more likely, just as likely, less likely events
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4.PR.1.1.6
Distinguishes between prediction and outcome
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4.PR.1.1.7
Uses tables or diagrams to collect and display the outcomes of an experiment
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4.PR.1.1.8
Enumerates possible outcomes of a random experiment, using a table, a tree diagram
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4.PR.1.1.9
Compares qualitatively the theoretical or experimental probability of events
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4.PR.1.1.1
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Statistics
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4.ST.1.1.1
Formulates questions for a survey (based on age-appropriate topics, students' language level, etc.)
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4.ST.1.1.2
Collects, describes and organizes data (classifies or categorizes) using tables
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4.ST.1.1.3
Interprets data using a table, a bar graph, a pictograph and a broken-line graph
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4.161Interpret Pictographs20
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4.162Convert Graphs to Input/Output Tables5
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4.163Interpret Line Graphs5
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4.164Interpret Bar Graphs15
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4.165Interpret Line Plots with Up to 5 Data Points5
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4.166Interpret Line Plots5
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4.167Interpret Line Plots with Numbers Up to 405
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4.ST.1.1.4
Displays data using a table, a bar graph, a pictograph and a broken-line graph
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4.168Create Line Graphs5
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4.169Create Bar Graphs Using Tables5
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4.170Create Bar Graphs5
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4.171Create Line Plots5
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4.172Create Line Plots II5
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4.173Choose the Best Graph Type5
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4.ST.1.1.1
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Arithmetic: Meaning of operations involving numbers
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4.ARTM.1.1.1
Determines the operation(s) to perform in a given situation
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4.53Mixed Equation with Numbers Up to 1000020
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4.54Mixed Equation with Numbers Up to 10020
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4.55Multi-Step20
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4.56Extra or Missing Information20
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4.57Solve Using Guess-And-Check20
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4.ARTM.1.1.2
Uses objects, diagrams or equations to represent and describe transformations of numbers up to 100000: adding, taking away, uniting, comparing
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4.ARTM.1.1.2a
Uses objects, diagrams or equations to represent and describe transformations of numbers up to 100000: adding, taking away, uniting, comparing
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4.58Numbers Up to 500000020
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4.59Subtraction with Numbers Up to 50000005
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4.ARTM.1.1.2b
Uses objects, diagrams or equations to represent and describe the composition of transformations (positive or negative) of numbers up to 100000
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4.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.
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4.ARTM.1.1.4
Establishes equality relations between numerical expressions (e.g. 3 + 2 = 6 - 1)
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4.ARTM.1.1.5
Determines numerical equivalencies using relationships between operations (the four operations), the commutative property of addition and multiplication and the associative property.
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4.71Properties of Addition15
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4.72Choose Properties of Multiplication15
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4.73Factors of Multiplication15
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4.74Properties of Multiplication with Factors Up to 1215
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4.ARTM.1.2.1a
Uses objects, diagrams or equations to represent and describe transformations with decimals to the hundredth place value: adding, taking away, uniting, comparing
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4.ARTM.1.2.1b
Uses objects, diagrams or equations to represent and describe the composition of transformations (positive or negative) with decimals to the hundreth place value.
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4.ARTM.1.2.2
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, with decimals to the hundreth place value.
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4.ARTM.1.2.3
Determines numerical equivalencies using the relationship between operations (the four operations), the commutative property of addition and multiplication and the associative property with decimals up to the hundreth place value.
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4.ARTM.1.1.1
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Geometry
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4.G.1.1.1
Locates objects in a plane
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4.128Coordinate Graphs Review10
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4.129Coordinate Graphs with Decimals and Negative Numbers15
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4.130Coordinate Graphs Review with Whole Numbers10
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4.131Coordinate Graphs as Maps5
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4.G.1.1.2
Locates objects on an axis (based on the types of numbers studied)
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4.G.1.1.3
Locates points in a Cartesian plane in the first quadrant
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4.128Coordinate Graphs Review10
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4.129Coordinate Graphs with Decimals and Negative Numbers15
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4.130Coordinate Graphs Review with Whole Numbers10
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4.131Coordinate Graphs as Maps5
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4.132Graph Points on a Coordinate Plane10
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4.133Relative Coordinates10
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4.G.1.2.1
Compares objects or parts of objects in the environment with solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)
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4.G.1.2.2
Identifies the main solids (e.g. spheres, cones, cubes, cylinders, prisms, pyramids)
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4.G.1.2.3
Identifies and represents the different faces of a prism or pyramid
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4.G.1.2.4
Describes prisms and pyramids in terms of faces, vertices and edges
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4.136Count Edges5
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4.137Count Vertices5
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4.138Count Faces5
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4.139Count Edges, Vertices and Faces5
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4.G.1.2.5
Classifies prisms and pyramids
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4.G.1.2.6
Constructs a net of a prism or pyramid
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4.G.1.2.7a
Matches the net of a prism to the corresponding prism and vice versa
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4.140Nets of 3-Dimensional Figures5
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4.G.1.2.7b
Matches the net of a pyramid to the corresponding pyramid and vice versa
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4.140Nets of 3-Dimensional Figures5
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4.G.1.3.1
Identifies plane figures (square, rectangle, triangle, rhombus and circle)
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4.G.1.3.2
Describes plane figures (square, rectangle, triangle and rhombus)
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4.141Which 2 Dimensional Shape Is Described?5
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4.142Which Shape Is Described?5
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4.143Number of Sides in Polygons5
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4.G.1.3.3
Describes convex and nonconvex polygons
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4.G.1.3.4
Identifies and constructs parallel lines and perpendicular lines
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4.G.1.3.5
Describes quadrilaterals (e.g. parallel segments, perpendicular segments, right angles, acute angles, obtuse angles)
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4.G.1.3.6
Classifies quadrilaterals
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4.145Classify Quadrilateral Shapes5
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4.G.1.4.1
Identifies congruent figures
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4.146Identify Same Shapes5
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4.147Comparing Objects - Same / Different5
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4.G.1.4.2
Observes and produces patterns using geometric figures
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4.G.1.4.3
Observes and produces frieze patterns and tessellations using reflections
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4.148Symmetry5
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4.149Identify Reflections, Rotations and Translations5
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4.G.1.1.1
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Measurement
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4.MT.1.1.1
Estimates and measures the dimensions of an object using conventional units metre, decimetre, centimetre and millimetre
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4.MT.1.1.2
Establishes relationships between units of measure for length using metre, decimetre, centimetre and millimetre
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4.151Compare and Convert Metric Units5
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4.MT.1.1.3
Calculates the perimeter of plane figures
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4.70Area and Perimeter5
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4.152Perimeter with Unit Squares15
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4.153Perimeter: Find the Missing Side Length5
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4.MT.1.2.1
Estimates and measures surface area using unconventional units
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4.MT.1.3.1
Estimates and measures volume using unconventional units
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4.MT.1.4.1
Compares angles
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4.MT.1.5.1
Estimates and measures capacity using unconventional units
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4.MT.1.5.2
Estimates and measures capacity using conventional units
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4.MT.1.6.1
Estimates and measures mass using unconventional units
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4.MT.1.6.2
Estimates and measures mass using conventional units
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4.MT.1.7.1
Estimates and measures time using conventional units
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4.155Find the Change in Time I20
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4.156Change in Time Review20
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4.157Find Start and End Times5
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4.MT.1.7.2
Establishes relationships between units of measure
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4.158Convert Time Units5
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4.159Add and Subtract Mixed Time Units5
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4.160Fractions of Time Units5
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4.MT.1.8.1
Estimates and measures temperature using conventional units
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4.MT.1.1.1
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Arithmetic: Understanding and writing numbers
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4.ARTU.1.1.1
Counts or recites counting rhymes involving natural numbers up to 100000
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4.ARTU.1.1.10
Locates natural numbers using different visual aids (e.g. hundreds chart, number strip, number line) up to 100000
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4.ARTU.1.1.11a
Identifies properties of odd or even natural numbers up to 100000
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4.24Even or Odd I10
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4.25Select Even or Odd10
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4.ARTU.1.1.11b
Identifies properties of natural numbers up to 100000 as square, prime or composite numbers
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4.26Prime and Composite Numbers10
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4.ARTU.1.1.12
Classifies natural numbers up to 100000 in various ways, based on their properties (e.g. even numbers, composite numbers)
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4.24Even or Odd I10
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4.25Select Even or Odd10
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4.26Prime and Composite Numbers10
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4.ARTU.1.1.13
Approximates a collection, using objects or drawings (e.g. estimate, round up/down to a given value)
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4.27Rounding with Numbers Up to 500015
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4.ARTU.1.1.1a
counts forward or backward up to 100000
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4.2Count by a Specific Number20
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4.ARTU.1.1.1b
Skip counts (e.g. by twos) up to 100000
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4.ARTU.1.1.2
Counts collections (using objects or drawings)
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4.ARTU.1.1.2a
counts a collection by grouping or regrouping
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4.ARTU.1.1.2b
counts a pre-grouped collection
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4.ARTU.1.1.3
Reads and writes any natural number up to 100000
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4.ARTU.1.1.4a
Represents natural numbers in different ways or associates a number with a set of objects or drawings with emphasis on exchanging apparent, non-accessible groupings, using structured materials (e.g. base ten blocks, number tables) up to 100000
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4.ARTU.1.1.4b
Represents natural numbers 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)
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4.ARTU.1.1.5
Composes and decomposes a natural number up to 100000 in a variety of ways (e.g. 123 = 100 + 23, 123 = 100 + 20 + 3, 123 = 50 + 50 + 20 + 3)
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4.ARTU.1.1.6
Identifies equivalent expressions (e.g. 52 = 40 + 12, 25 + 27 = 40 + 12, 52 = 104 ÷ 2)
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4.ARTU.1.1.7
Compares natural numbers up to 100000
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4.14Compare Numbers Up to 1000000025
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4.ARTU.1.1.8
Arranges natural numbers up to 100000 in increasing or decreasing order
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4.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)
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4.15Addition Patterns Over Increasing Place Values15
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4.16Increasing Addition Patterns20
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4.17Increasing Subtraction Patterns15
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4.18Multiplication Patterns Over Increasing Place Values5
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4.19Increasing Multiplication Patterns with Numbers Up to 10,00020
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4.20Increasing Division Patterns20
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4.21Increasing Growth Patterns15
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4.22Geometric Growth Patterns15
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4.23Numeric Patterns15
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4.ARTU.1.2.1
Represents a fraction in a variety of ways, based on a whole or a collection of objects
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4.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
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4.28Identify Fractions Up to Tenths5
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4.29Fraction20
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4.ARTU.1.2.3
Identifies the different meanings of fractions (sharing, division, ratio)
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4.28Identify Fractions Up to Tenths5
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4.29Fraction20
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4.ARTU.1.2.4
Distinguishes a numerator from a denominator
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4.ARTU.1.2.5
Reads and writes a fraction
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4.ARTU.1.2.6
Compares a fraction to 0, 1/2 or 1
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4.ARTU.1.2.7
Verifies whether two fractions are equivalent
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4.30What Mixed Fraction Is Shown?10
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4.31Compare Fractions20
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4.33Choose the Equivalent Fraction Up to Twentieths15
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4.34Choose the Equivalent Fraction15
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4.35Patterns of Equivalent Fractions20
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4.36Reduce to Lowest Terms20
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4.37Reducing Fractions to Lowest Terms20
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4.ARTU.1.2.8
Matches a decimal or percentage to a fraction
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4.ARTU.1.2.9
Orders fractions with the same denominator
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4.ARTU.1.3.1
Represents decimals in a variety of ways (using objects or drawings) up to the hundredths place
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4.38Decimals with Models10
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4.ARTU.1.3.10
Arranges decimals up to the hundredths place value in increasing or decreasing order
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4.ARTU.1.3.11
Matches a fraction to its decimal
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4.ARTU.1.3.2
Identifies equivalent representations (using objects or drawings)
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4.38Decimals with Models10
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4.ARTU.1.3.3
Reads and writes numbers written in decimal notation up to the hundredths place
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4.ARTU.1.3.4
Understands the role of the decimal point up to hundredths place
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4.38Decimals with Models10
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4.43Understanding Decimals Expressed in Words10
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4.44Identify Place Values in Decimal Numbers10
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4.ARTU.1.3.5
Composes and decomposes a decimal written in decimal notation up to the hundredths place
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4.ARTU.1.3.6
Recognizes equivalent expressions (e.g. 12 tenths is equivalent to 1 unit and 2 tenths; 0.5 is equivalent to 0.50)
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4.45Choose Equivalent Decimals15
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4.ARTU.1.3.7a
Locates decimals on a number line up to the hundredths place between two consecutive natural numbers
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4.ARTU.1.3.7b
Locates decimals on a number line between two decimals up to the hundredths place
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4.ARTU.1.3.8
Compares two decimals up to the hundredths place
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4.ARTU.1.3.9
Approximates (e.g. estimates, rounds to a given value, truncates decimal places)
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4.48Round Decimals15
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4.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)
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4.50Understanding Integers5
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4.51Integers: Understanding Integers5
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4.ARTU.1.1.1
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Arithmetic: Operations involving numbers
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4.ARTO.1.1.10a
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)
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4.117Mixed Patterns5
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4.ARTO.1.1.10b
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)
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4.21Increasing Growth Patterns15
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4.22Geometric Growth Patterns15
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4.23Numeric Patterns15
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4.ARTO.1.1.10c
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
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4.21Increasing Growth Patterns15
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4.22Geometric Growth Patterns15
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4.23Numeric Patterns15
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4.ARTO.1.1.11
Adds new terms to a series when the first three terms or more are given
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4.21Increasing Growth Patterns15
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4.22Geometric Growth Patterns15
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4.23Numeric Patterns15
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4.ARTO.1.1.12
Uses a calculator and becomes familiar with its basic functions (+, -, =, 0 to 9 number keys, all clear, clear)
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4.ARTO.1.1.13
Uses a calculator and becomes familiar with its × and ÷ functions
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4.ARTO.1.1.1a
Approximates the result of an addition or subtraction involving natural numbers up to 100000
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4.76Estimate Sums with Numbers Up to 100,00020
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4.77Estimate Sums20
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4.78Estimate Differences20
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4.79Estimate Differences20
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4.ARTO.1.1.1b
Approximates the result of any of the four operations involving natural numbers up to 100000
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4.80Estimate Products Up to 100,00020
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4.81Estimate Products20
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4.82Estimate Quotients20
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4.83Estimate Quotients Up to 10,00020
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4.84Estimate Quotients Up to 100020
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4.85Estimate Mixed Equations20
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4.ARTO.1.1.2a
Develops various strategies that promote mastery of number facts and relates them to the properties of addition
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4.86Add Two Numbers Up to 100020
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4.87Subtract Two Numbers - Operands Up to 100020
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4.15Addition Patterns Over Increasing Place Values15
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4.16Increasing Addition Patterns20
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4.17Increasing Subtraction Patterns15
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4.ARTO.1.1.2b
Masters all addition facts (0 + 0 to 10 + 10) and the corresponding subtraction facts
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4.ARTO.1.1.3a
Develops processes for mental computation that uses their own processes to determine the sum or difference of two natural numbers up to 100000
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4.86Add Two Numbers Up to 100020
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4.87Subtract Two Numbers - Operands Up to 100020
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4.15Addition Patterns Over Increasing Place Values15
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4.16Increasing Addition Patterns20
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4.17Increasing Subtraction Patterns15
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4.ARTO.1.1.3b
Develops processes for mental computation that uses their own processes to determine the product or quotient of two natural numbers up to 100000
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4.91Multiplication with a Specific Number Up to 1265
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4.92Multiply Two Numbers Up to 50020
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4.93Multiply Two Numbers Up to 10020
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4.94Multiplication20
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4.95Multiply Numbers Up to 1000 Ending in Zeros15
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4.96Division with Divisors Up to 1020
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4.97Division with Remainder with Numbers Up to 100020
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4.98Division Patterns with Zeroes15
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4.99Divisibility Rules with Numbers Up to 10,00020
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4.100Divisibility Rules with Dividend Up to 10,000,00020
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4.101Divisibility Rules20
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4.18Multiplication Patterns Over Increasing Place Values5
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4.19Increasing Multiplication Patterns with Numbers Up to 10,00020
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4.20Increasing Division Patterns20
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4.ARTO.1.1.4
Develops processes for written computation (addition and subtraction) up to 100000
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4.ARTO.1.1.4a
Uses conventional processes to determine the sum of two natural numbers of up to four digits
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4.86Add Two Numbers Up to 100020
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4.102Add Two Numbers Up to 500000025
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4.ARTO.1.1.4b
Uses conventional processes to determine the difference between two natural numbers of up to four digits whose result is greater than 0
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4.103Subtract Two Numbers Up to 100020
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4.104Subtraction with Numbers Up to 50000005
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4.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
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4.ARTO.1.1.6a
Builds a memory of multiplication facts (0 × 0 to 10 × 10) and the corresponding division facts, using objects, drawings, charts or tables
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4.91Multiplication with a Specific Number Up to 1265
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4.96Division with Divisors Up to 1020
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4.110Choose the Multiples of a Given Number20
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4.111Input/Output Tables15
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4.ARTO.1.1.6b
Develops various strategies that promote mastery of number facts and relate them to the properties of multiplication
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4.60Multiplication Up to 100015
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4.61Multiplication with Operands Up to 100 III20
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4.62Multiply Three or More Numbers20
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4.63Multiply Three or More Numbers Up to 10020
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4.95Multiply Numbers Up to 1000 Ending in Zeros15
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4.65Division with Dividend Up to 100020
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4.97Division with Remainder with Numbers Up to 100020
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4.98Division Patterns with Zeroes15
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4.99Divisibility Rules with Numbers Up to 10,00020
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4.100Divisibility Rules with Dividend Up to 10,000,00020
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4.101Divisibility Rules20
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4.8Choose Numbers with a Particular Product20
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4.9Choose Numbers with a Particular Quotient15
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4.72Choose Properties of Multiplication15
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4.73Factors of Multiplication15
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4.74Properties of Multiplication with Factors Up to 1215
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4.111Input/Output Tables15
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4.112Multiply 3, 4 Numbers Up to 10020
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4.113Inequalities with Multiplication20
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4.114Properties of Division15
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4.18Multiplication Patterns Over Increasing Place Values5
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4.19Increasing Multiplication Patterns with Numbers Up to 10,00020
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4.20Increasing Division Patterns20
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4.ARTO.1.1.6c
Masters all multiplication facts (0 × 0 to 10 × 10) and the corresponding division facts
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4.ARTO.1.1.7
Develops processes for written computation and uses their own processes as well as materials and drawings to determine the product or quotient of a three-digit natural number and a one-digit natural number, expresses the remainder of a division as a fraction, depending on the context
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4.ARTO.1.1.8
Determines the missing term in an equation (relationships between operations): a — b = __, a — __ = c, __ — b = c
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4.109Complete the Mixed Equation Sentence20
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4.115Find Missing Factors15
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4.116Complete the Division Sentence15
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4.ARTO.1.1.9
Decomposes a number into prime factors
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4.26Prime and Composite Numbers10
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4.ARTO.1.2.1
Generates a set of equivalent fractions
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4.118Equal Fractions with Denominators of 10, 100, 100010
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4.30What Mixed Fraction Is Shown?10
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4.31Compare Fractions20
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4.ARTO.1.3.1
Approximates the result of an addition or a subtraction of decimals to the hundredth place
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4.ARTO.1.3.2
Develops processes for mental computation adds and subtracts decimals to the hundredth
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4.119Estimate Sums and Differences of Decimals15
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4.120Estimate Sums and Differences of Decimals Up to 10015
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4.121Add and Subtract Decimal Numbers Up to 2 Places10
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4.122Add and Subtract Decimals15
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4.123Add and Subtract Decimals Up to 1020
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4.124Add and Subtract Decimal Up to 10015
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4.125Choose Decimals with a Particular Sum or Difference20
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4.126Complete the Addition or Subtraction Sentence20
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4.127Inequalities with Decimal Addition and Subtraction10
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4.ARTO.1.3.3
Develops processes for written computation, and adds and subtracts decimals whose result does not go beyond the second decimal place
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4.121Add and Subtract Decimal Numbers Up to 2 Places10
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4.122Add and Subtract Decimals15
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4.123Add and Subtract Decimals Up to 1020
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4.124Add and Subtract Decimal Up to 10015
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4.126Complete the Addition or Subtraction Sentence20
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4.ARTO.1.1.10a