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1.1
Number, Number Sense and Operations
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1.1.A
Use place value concepts to represent whole numbers using numerals, words and physical models.
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1
Number and Number Systems
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1.1.A.3
Read and write the numerals for numbers to 100.
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1.1.A.5
Use place value concepts to represent whole numbers using numerals, words, expanded notation and physical models with ones and tens. For example:
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1.1.A.5.a
Develop a system to group and count by twos, fives and tens.
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1.1.A.5.b
Identify patterns and groupings in a 100's chart and relate to place value concepts.
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1.1.A.5.c
Recognize the first digit of a two-digit number as the most important to indicate size of a number and the nearness to 10 or 100.
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1.1.B
Recognize, classify, compare and order whole numbers.
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1
Number and Number Systems
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1.1.B.1
Use ordinal numbers to order objects; e.g., first, second, third.
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1.1.B.2
Recognize and generate equivalent forms for the same number using physical models, words and number expressions; e.g., concept of ten is described by "10 blocks", full tens frame, numeral 10, 5 + 5, 15 - 5, one less than 11, my brother's age.
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1.1.B.4
Count forward to 100, count backwards from 100, and count forward or backward starting at any number between 1 and 100.
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1
Meaning of Operations
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1.1.B.15
Demonstrate that equal means "the same as" using visual representations.
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1.1.C
Represent commonly used fractions using words and physical models.
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1
Number and Number Systems
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1.1.C.9
Represent commonly used fractions using words and physical models for halves, thirds and fourths, recognizing fractions are represented by equal size parts of a whole and of a set of objects.
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1.1.D
Determine the value of a collection of coins and dollar bills.
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1
Number and Number Systems
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1.1.D.6
Identify and state the value of a penny, nickel, dime, quarter and dollar.
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1.1.D.7
Determine the value of a small collection of coins (with a total value up to one dollar) using 1 or 2 different type coins, including pennies, nickels, dimes and quarters.
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1.1.E
Make change using coins for values up to one dollar.
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1
Number and Number Systems
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1.1.E.8
Show different combinations of coins that have the same value.
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1.1.F
Count, using numerals and ordinal numbers.
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1
Number and Number Systems
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1.1.F.4
Count forward to 100, count backwards from 100, and count forward or backward starting at any number between 1 and 100.
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1.1.G
Model, represent and explain addition as combining sets and counting on.
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1
Meaning of Operations
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1.1.G.10
Model, represent and explain addition as combining sets (part + part = whole) and counting on. For example:
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1.1.G.10.a
Model and explain addition using physical materials in contextual situations.
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1.1.G.10.b
Draw pictures to model addition.
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1.1.G.10.c
Write number sentences to represent addition.
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1.1.G.10.d
Explain that adding two whole numbers yields a larger whole number.
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1.1.G.12
Use conventional symbols to represent the operations of addition and subtraction.
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1.1.H
Model, represent and explain subtraction as comparison, take-away and part-to-whole.
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1
Meaning of Operations
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1.1.H.11
Model, represent and explain subtraction as take-away and comparison. For example:
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1.1.H.11.a
Model and explain subtraction using physical materials in contextual situations.
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1.1.H.11.b
Draw pictures to model subtraction.
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1.1.H.11.c
Write number sentences to represent subtraction.
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1.1.H.11.d
Explain that subtraction of whole numbers yields an answer smaller than the original number.
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1.1.H.12
Use conventional symbols to represent the operations of addition and subtraction.
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1.1.I
Model, represent and explain multiplication as repeated addition, rectangular arrays and skip counting.
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1
Meaning of Operations
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1.1.I.13
Model and represent multiplication as repeated addition and rectangular arrays in contextual situations; e.g., four people will be at my party and if I want to give 3 balloons to each person, how many balloons will I need to buy?
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1.1.J
Model, represent and explain division as sharing equally, repeated subtraction and rectangular arrays.
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1
Meaning of Operations
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1.1.J.14
Model and represent division as sharing equally in contextual situations; e.g., sharing cookies.
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1.1.K
Demonstrate fluency in addition facts with addends through 9 and corresponding subtractions.
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1
Computation and Estimation
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1.1.K.16
Develop strategies for basic addition facts, such as:
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1.1.K.16.a
counting all;
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1.1.K.16.b
counting on;
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1.1.K.16.c
one more, two more;
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1.1.K.16.d
doubles;
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1.1.K.16.e
doubles plus or minus one;
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1.1.K.16.f
make ten;
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1.1.K.16.g
using tens frames;
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1.1.K.16.h
identify property (adding zero).
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1.1.K.17
Develop strategies for basic subtraction facts, such as:
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1.1.K.17.a
relating to addition (for example, think of 7 - 3 = ? as "3 plus ? equals 7");
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1.1.K.17.b
one less, two less;
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1.1.K.17.c
all but one (for example, 8 - 7, 5 - 4);
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1.1.K.17.d
using tens frames;
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1.1.K.17.e
missing addends.
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1.1.L
Demonstrate fluency in adding and subtracting multiples of 10, and recognize combinations that make 10.
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1
Computation and Estimation
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1.1.L.16
Develop strategies for basic addition facts, such as:
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1.1.L.16.a
counting all;
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1.1.L.16.b
counting on;
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1.1.L.16.c
one more, two more;
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1.1.L.16.d
doubles;
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1.1.L.16.e
doubles plus or minus one;
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1.1.L.16.f
make ten;
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1.1.L.16.g
using tens frames;
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1.1.L.16.h
identity property (adding zero).
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1.1.L.17
Develop strategies for basic subtraction facts, such as:
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1.1.L.17.a
relating to addition (for example, think of 7 - 3 = ? as "3 plus ? equals 7");
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1.1.L.17.b
one less, two less;
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1.1.L.17.c
all but one (for example, 8 - 7, 5 - 4);
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1.1.L.17.d
using tens frames;
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1.1.L.17.e
missing addends.
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1.1.M
Add and subtract two-digit numbers with and without regrouping.
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1.2
Measurement
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1.2.A
Explain the need for standard units of measure.
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1
Measurement Units
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1.2.A.1
Recognize and explain the need for fixed units and tools for measuring length and weight; e.g., rulers and balance scales.
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1.2.B
Select appropriate units for length, weight, volume (capacity) and time, using:
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1.2.C
Develop common referents for units of measure for length, weight, volume (capacity) and time to make comparisons and estimates.
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1
Measurement Units
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1.2.C.2
Tell time to the hour and half hour on digital and analog (dial) timepieces.
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1.2.C.3
Order a sequence of events with respect to time; e.g., summer, fall, winter and spring; morning, afternoon and night.
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1.2.D
Apply measurement techniques to measure length, weight and volume (capacity).
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1
Use Measurement Techniques and Tools
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1.2.D.4
Estimate and measure weight using non-standard units; e.g., blocks of uniform size.
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1.2.D.5
Estimate and measure lengths using non-standard and standard units; i.e., centimeters, inches and feet.
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1.2.E
Recognize that using different units of measurement will yield different numbers for the same measurement.
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1.3
Geometry and Spatial Sense
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1.3.A
Describe and create plane figures: circle, rectangle, square, triangle, hexagon, trapezoid, parallelogram and rhombus, and identify them in the environment.
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1
Characteristics and Properties
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1.3.A.2
Create new shapes by combining or cutting apart existing shapes.
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1.3.A.3
Identify the shapes of the faces of three-dimensional objects.
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1.3.B
Describe solid objects: cube, rectangular prism, sphere, cylinder, cone and pyramid, and identify them in the environment.
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1
Characteristics and Properties
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1.3.B.3
Identify the shapes of the faces of three-dimensional objects.
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1.3.C
Sort and compare two-dimensional figures and three-dimensional objects according to their characteristics and properties.
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1
Characteristics and Properties
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1.3.C.1
Identify, compare and sort two-dimensional shapes; i.e., square, circle, ellipse, triangle, rectangle, rhombus, trapezoid, parallelogram, pentagon and hexagon. For example:
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1.3.C.1.a
Recognize and identify triangles and rhombuses independent of position, shape or size;
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1.3.C.1.b
Describe two-dimensional shapes using attributes such as number of sides and number of vertices (corners or angles).
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1.3.D
Identify, explain and model (superposition, copying) the concept of shapes being congruent and similar.
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1
Spatial Relationships
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1.3.D.5
Copy figures and draw simple two-dimensional shapes from memory.
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1.3.E
Recognize two- and three-dimensional objects from different positions.
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1
Spatial Relationships
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1.3.E.5
Copy figures and draw simple two-dimensional shapes from memory.
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1.3.F
Describe location, using comparative (before, after), directional (above, below), and positional (first, last) words.
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1
Spatial Relationships
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1.3.F.4
Extend the use of location words to include distance (near, far, close to) and directional words (left, right).
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1.3.G
Identify and draw figures with line symmetry.
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1
Spatial Relationships
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1.3.G.5
Copy figures and draw simple two-dimensional shapes from memory.
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1.4
Patterns, Functions and Algebra
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1.4.A
Sort, classify and order objects by size, number and other properties, and describe the attributes used.
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1
Use Patterns, Relations and Functions
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1.4.A.1
Sort, classify and order objects by two or more attributes, such as color and shape, and explain how objects were sorted.
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1.4.B
Extend sequences of sounds and shapes or simple number patterns, and create and record similar patterns.
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1
Use Patterns, Relations and Functions
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1.4.B.2
Extend sequences of sounds, shapes or simple number patterns, and create and record similar patterns. For example:
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1.4.B.2.a
Analyze and describe patterns with multiple attributes using numbers and shapes; e.g., AA, B, aa, b, AA, B, aa, b,...
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1.4.B.2.b
Continue repeating and growing patterns with materials, pictures and geometric items; e.g., XO, XOO, XOOO, XOOOO.
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1.4.C
Create and extend patterns, and describe the rule in words.
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1
Use Patterns, Relations and Functions
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1.4.C.3
Describe orally the basic unit or general plan of a repeating or growing pattern.
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1.4.D
Model problem situations, using objects, pictures, numbers and other symbols.
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1
Use Algebraic Representations
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1.4.D.5
Describe orally and model a problem situation using words, objects or number phrase or sentence.
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1.4.E
Solve open sentences and explain strategies.
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1
Use Algebraic Representations
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1.4.E.4
Solve open sentences by representing an expression in more than one way using the commutative property; e.g., 4 + 5 = 5 + 4 or the number of blue balls plus red balls is the same as the number of red balls plus blue balls (R + B = B + R).
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1.4.F
Represent an unknown quantity as a variable using a symbol, such as "square", "triangle", "circle".
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1.4.G
Describe and compare qualitative and quantitative change.
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1.5
Data Analysis and Probability
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1.5.A
Pose questions and gather data about everyday situations and familiar objects.
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1
Data Collection
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1.5.A.5
Construct a question that can be answered by using information from a graph.
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1.5.B
Sort and classify objects by attributes, and organize data into categories in a simple table or chart.
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1
Data Collection
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1.5.B.1
Identify multiple categories for sorting data.
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1.5.B.2
Collect and organize data into charts using tally marks.
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1
Statistical Methods
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1.5.B.6
Arrange five objects by an attribute, such as size or weight, and identify the ordinal position of each object.
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1.5.B.7
Answer questions about the number of objects represented in a picture graph, bar graph or table graph; e.g., category with most, how many more in a category compared to another, how many altogether in two categories.
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1.5.C
Represent data using objects, picture graphs and bar graphs.
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1
Data Collection
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1.5.C.3
Display data in picture graphs with units of 1 and bar graphs with intervals of 1.
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1.5.C.4
Read and interpret charts, picture graphs and bar graphs as sources of information to identify main ideas, draw conclusions, and make predictions.
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1.5.D
Describe the probability of chance events as more, less or equally likely to occur.
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1
Probability
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1.5.D.8
Describe the likelihood of simple events as possible/impossible and more likely/less likely; e.g., when using spinners or number cubes in classroom activities.
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1.6
Mathematical Processes
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1.6.A
Use a variety of strategies to understand problem situations; e.g., discussing with peers, stating problems in own words, modeling problems with diagrams or physical materials, identifying a pattern.
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1.6.B
Identify and restate in own words the question or problem and the information needed to solve the problem.
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1.6.C
Generate alternative strategies to solve problems.
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1.6.D
Evaluate the reasonableness of predictions, estimations and solutions.
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1.6.E
Explain to others how a problem was solved.
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1.6.F
Draw pictures and use physical models to represent problem situations and solutions.
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1.6.G
Use invented and conventional symbols and common language to describe a problem situation and solution.
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1.6.H
Recognize the mathematical meaning of common words and phrases, and relate everyday language to mathematical language and symbols.
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1.6.I
Communicate mathematical thinking by using everyday language and appropriate mathematical language.
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