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Grade 1 - Mathematics (2022)

Mathematics (2022-)Grades 01CSP ID: 6371710C62574CFCBFA976E26B336AFCStandards: 163

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Mathematics 

MAT.1.

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Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating.

MAT.2.

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Geometry: Shapes are defined and related by geometric attributes.

MAT.3.

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Measurement: Attributes such as length, area, volume, and angle are quantified by measurement.

MAT.4.

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Patterns: Awareness of patterns supports problem solving in various situations.

MAT.5.

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Time: Duration is described and quantified by time.

MAT.6.

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Statistics: The science of collecting, analyzing, visualizing, and interpreting data can inform understanding and decision making.

MAT.1.1.

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Students interpret and explain quantity to 100.

MAT.1.2.

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Students examine addition and subtraction within 20.

MAT.1.3.

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Students examine one-half as a part-whole relationship.

MAT.2.1.

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Students interpret shape in two and three dimensions.

MAT.3.1.

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Students relate length to the understanding of size.

MAT.4.1.

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Students examine patterns in cycles.

MAT.5.1.

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Students explain time in relation to cycles.

MAT.6.1.

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Students investigate and represent data.

MAT.1.1.1.

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Knowledge

MAT.1.1.2.

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Understanding

MAT.1.1.3.

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Skills & Procedures

MAT.1.2.1.

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Knowledge

MAT.1.2.2.

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Understanding

MAT.1.2.3.

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Skills & Procedures

MAT.1.3.1.

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Knowledge

MAT.1.3.2.

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Understanding

MAT.1.3.3.

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Skills & Procedures

MAT.2.1.1.

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Knowledge

MAT.2.1.2.

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Understanding

MAT.2.1.3.

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Skills & Procedures

MAT.3.1.1.

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Knowledge

MAT.3.1.2.

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Understanding

MAT.3.1.3.

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Skills & Procedures

MAT.4.1.1.

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Knowledge

MAT.4.1.2.

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Understanding

MAT.4.1.3.

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Skills & Procedures

MAT.5.1.1.

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Knowledge

MAT.5.1.2.

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Understanding

MAT.5.1.3.

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Skills & Procedures

MAT.6.1.1.

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Knowledge

MAT.6.1.2.

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Understanding

MAT.6.1.3.

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Skills & Procedures

MAT.1.1.1.a

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A numeral is a symbol or group of symbols used to represent a number.

MAT.1.1.1.b.

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The absence of quantity is represented by 0.

MAT.1.1.1.c.

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Counting can begin at any number.

MAT.1.1.1.d.

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Counting more than one object at a time is called skip counting.

MAT.1.1.1.e.

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Sharing involves partitioning a quantity into a certain number of groups.

MAT.1.1.1.f.

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Grouping involves partitioning a quantity into groups of a certain size.

MAT.1.1.1.g.

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Familiar arrangements of small quantities facilitate subitizing.

MAT.1.1.1.h.

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Comparisons of quantity can be described by using words such as equal, not equal, less and more.

MAT.1.1.1.i.

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Equality can be modelled using a balance.

MAT.1.1.1.j.

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The equal sign, = , is used to show equality between two quantities.

MAT.1.1.1.k.

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The unequal sign, \not = , is used to show that two quantities are not equal.

MAT.1.1.2.a.

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Quantity is expressed in words and numerals based on patterns.

MAT.1.1.2.b.

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Quantity in the world is represented in multiple ways.

MAT.1.1.2.c.

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Each number counted includes all previous numbers (counting principle: hierarchical inclusion).

MAT.1.1.2.d.

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A quantity can be determined by counting more than one object in a set at a time.

MAT.1.1.2.e.

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Quantity can be partitioned by sharing or grouping.

MAT.1.1.2.f.

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A quantity can be perceived as the composition of smaller quantities.

MAT.1.1.2.g.

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Two quantities are equal when there is the same number of objects in both sets.

MAT.1.1.2.h.

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Equality is a balance between two quantities.

MAT.1.1.3.a.

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Count within 100, forward by 1s, starting at any number, according to the counting principles.

MAT.1.1.3.b.

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Count backward from 20 to 0 by 1s.

MAT.1.1.3.c.

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Skip count to 100, forward by 5s and 10s, starting at 0.

MAT.1.1.3.d.

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Skip count to 20, forward by 2s, starting at 0.

MAT.1.1.3.e.

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Partition a set of objects by sharing and grouping.

MAT.1.1.3.f.

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Demonstrate conservation of number when sharing or grouping.

MAT.1.1.3.g.

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Recognize quantities to 10.

MAT.1.1.3.h.

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Investigate equal and unequal quantities, including using a balance model.

MAT.1.1.3.i.

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Identify numbers that are one more, two more, one less, and two less than a given number.

MAT.1.1.3.j.

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Represent a quantity relative to another, including symbolically.

MAT.1.1.3.k

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Represent quantities using words, numerals, objects, or pictures

MAT.1.1.3.l

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Identify a quantity of 0 in familiar situations

MAT.1.2.1.a.

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Quantities can be composed or decomposed to model a change in quantity.

MAT.1.2.1.b.

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Addition can be applied in various contexts, includingcombining parts to find the whole and increasing an existing quantity.

MAT.1.2.1.c.

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Subtraction can be applied in various contexts, including comparing two quantities, taking away one quantity from another and finding a part of a whole.

MAT.1.2.1.d.

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Addition and subtraction can be modelled using a balance.

MAT.1.2.1.e.

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Strategies are meaningful steps taken to solve problems.

MAT.1.2.1.f.

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Addition and subtraction strategies include counting on counting back, decomposition, compensation and making tens.

MAT.1.2.1.g.

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Sums and differences can be expressed symbolically using the addition sign, +, the subtraction sign, -, and the equal sign, =.

MAT.1.2.1.h.

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The order in which two quantities are added does not affect the sum (commutative property).

MAT.1.2.1.i.

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The order in which two quantities are subtracted affects the difference.

MAT.1.2.1.j.

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Addition of 0 to any number, or subtraction of 0 from any number, results in the same number (zero property).

MAT.1.2.1.k.

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A missing quantity in a sum or difference can be represented in different ways, including a+b=?, a+?=c, e?f=?, e??=g, ??f=g

MAT.1.2.1.l.

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Addition and subtraction number facts represent part-part-whole relationships.

MAT.1.2.1.m.

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Fact families are groups of related addition and subtraction number facts.

MAT.1.2.2.a.

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Addition and subtraction are processes that describe the composition and decomposition of quantity.

MAT.1.2.2.b.

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Addition and subtraction are opposite (inverse) mathematical operations.

MAT.1.2.2.c.

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Addition number facts have related subtraction number facts.

MAT.1.2.3.a.

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Visualize quantities between 10 and 20 as compositions of 10 and another quantity.

MAT.1.2.3.b.

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Model addition and subtraction within 20 in various ways, including with a balance.

MAT.1.2.3.c.

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Relate addition and subtraction to various contexts involving composition or decomposition of quantity.

MAT.1.2.3.d.

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Investigate addition and subtraction strategies.

MAT.1.2.3.e.

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Add and subtract within 20.

MAT.1.2.3.f.

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Check differences and sums using inverse operations.

MAT.1.2.3.g.

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Determine a missing quantity in a sum or difference, within 20, in a variety of ways.

MAT.1.2.3.h.

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Express addition and subtraction symbolically.

MAT.1.2.3.i.

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Solve problems using addition and subtraction.

MAT.1.2.3.j.

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Identify patterns in addition and subtraction, including patterns in addition tables.

MAT.1.2.3.k.

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Recognize families of related addition and subtraction number facts.

MAT.1.2.3.l.

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Recall addition number facts, with addends to 10, and related subtraction number facts.

MAT.1.3.1.a.

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One-half can be one of two equal groups or one of two equal pieces.

MAT.1.3.2.a.

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In a quantity partitioned into two equal groups, each group represents one-half of the whole quantity.

MAT.1.3.2.b.

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In a shape or object partitioned into two identical pieces, each piece represents one-half of the whole.

MAT.1.3.3.a.

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Identify one-half in familiar situations.

MAT.1.3.3.b.

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Partition an even set of objects into two equal groups, limited to sets of 10 or less.

MAT.1.3.3.c.

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Partition a shape or object into two equal pieces.

MAT.1.3.3.d.

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Describe one of two equal groups or pieces as one-half.

MAT.1.3.3.e.

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Verify that the two halves of one whole group, shape, or object are the same size.

MAT.2.1.1.a.

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Familiar two-dimensional shapes include squares, circles, rectangles and triangles.

MAT.2.1.1.b.

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Familiar three-dimensional shapes include cubes, prisms, cylinders, spheres, pyramids and cones.

MAT.2.1.1.c.

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A composite shape is composed of two or more shapes.

MAT.2.1.1.d.

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A line of symmetry indicates the division between the matching halves of a symmetrical shape.

MAT.2.1.2.a.

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A shape can be modelled in various sizes and orientations.

MAT.2.1.2.b.

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A shape is symmetrical if it can be decomposed into matching halves.

MAT.2.1.3.a.

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Identify familiar shapes in various sizes and orientations.

MAT.2.1.3.b.

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Model two-dimensional shapes.

MAT.2.1.3.c.

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Sort shapes according to one attribute and describe the sorting rule.

MAT.2.1.3.d.

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Compose and decompose two- or three-dimensional composite shapes.

MAT.2.1.3.e.

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Identify familiar shapes within two- or three-dimensional composite shapes.

MAT.2.1.3.f.

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Investigate symmetry of two-dimensional shapes by folding and matching.

MAT.3.1.1.a.

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Size may refer to the length of an object, including height, width and depth.

MAT.3.1.1.b.

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A length does not need to be a straight line.

MAT.3.1.1.c.

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The length between any two points in space is called distance.

MAT.3.1.1.d.

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Familiar contexts of distance include distance between objects or people, distance between objects on the land, distance between home and school and distance between towns or cities.

MAT.3.1.1.e.

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Indirect comparison is useful when objects are fixed in place or difficult to move.

MAT.3.1.1.f.

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Comparisons of size can be described by using words such as higher, wider and deeper.

MAT.3.1.2.a.

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Length is a measurable attribute that describes the amount of fixed space between the end points of an object.

MAT.3.1.2.b.

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Length remains the same if an object is repositioned but may be named differently.

MAT.3.1.2.c.

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The size of two objects can be compared indirectly with a third object.

MAT.3.1.3.a.

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Recognize the height, width, or depth of an object as lengths in various orientations.

MAT.3.1.3.b.

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Compare and order objects according to length.

MAT.3.1.3.c.

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Describe distance in familiar contexts.

MAT.3.1.3.d.

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Compare the length, area, or capacity of two objects directly or indirectly using a third object.

MAT.3.1.3.e.

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Order objects according to length, area, or capacity.

MAT.4.1.1.a.

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A cycle can express repetition of events or experiences.

MAT.4.1.1.b.

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Cycles include seasons, day/night, life cycles and calendars.

MAT.4.1.1.c.

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The same pattern can be represented with different elements.

MAT.4.1.1.d.

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A pattern core is a sequence of one or more elements that repeats as a unit.

MAT.4.1.2.a.

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A pattern that appears to repeat may not repeat in the same way forever.

MAT.4.1.2.b.

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A cycle is a repeating pattern that repeats in the same way forever.

MAT.4.1.3.a.

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Recognize cycles encountered in daily routines and nature.

MAT.4.1.3.b.

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Investigate cycles found in nature that inform First Nations, Metis, or Inuit practices.

MAT.4.1.3.c.

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Identify the pattern core, up to four elements, in a cycle.

MAT.4.1.3.d.

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Identify a missing element in a repeating pattern or cycle.

MAT.4.1.3.e.

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Describe change and constancy in repeating patterns and cycles.

MAT.4.1.3.f.

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Create different representations of the same repeating pattern or cycle, limited to a pattern core of up to four elements.

MAT.4.1.3.g.

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Extend a sequence of elements in various ways to create repeating patterns.

MAT.5.1.1.a.

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Time can be perceived through observable change.

MAT.5.1.1.b.

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First Nations, Metis, and Inuit experience time through sequences and cycles in nature, including cycles of seasons.

MAT.5.1.1.c.

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Cycles from a calendar include days of the week and months of the year.

MAT.5.1.2.a.

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Time is an experience of change.

MAT.5.1.2.c.

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Time can be perceived as a cycle.

MAT.5.1.3.a.

Depth 3

Describe cycles of time encountered in daily routines and nature.

MAT.5.1.3.b.

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Describe observable changes that indicate a cycle of time.

MAT.5.1.3.c.

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Relate cycles of seasons to First Nations, Metis, or Inuit practices.

MAT.5.1.3.d.

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Identify cycles from a calendar.

MAT.6.1.1.a.

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Data can be collected information.

MAT.6.1.1.b.

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A graph is a visual representation of data.

MAT.6.1.1.c.

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A graph can represent data by using objects, pictures, or numbers.

MAT.6.1.2.a.

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Data can be answers to questions.

MAT.6.1.2.c.

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Data can be represented in a graph.

MAT.6.1.3.a.

Depth 3

Share wonderings about people, things, events, or experiences.

MAT.6.1.3.b.

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Gather data by sharing answers to questions.

MAT.6.1.3.c.

Depth 3

Collaborate to construct a concrete graph using data collected in the learning environment.

MAT.6.1.3.d.

Depth 3

Create a pictograph from a concrete graph.

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Source document
Grade 1 - Mathematics (2022)
License
CC BY 4.0 US