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3.NO
Number and Operations
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3.1
The learner will model, identify, and compute with whole numbers through 9,999.
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3.1.01
Develop number sense for whole numbers through 9,999.
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3.1.01.a
Connect model, number word, and number using a variety of representations.
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3.1.01.b
Build understanding of place value (ones through thousands).
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3.1.01.c
Compare and order.
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3.1.02
Develop fluency with multi-digit addition and subtraction through 9,999 using:
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3.1.02.a
Strategies for adding and subtracting numbers.
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3.1.02.b
Estimation of sums and differences in appropriate situations.
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3.1.02.c
Relationships between operations.
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3.1.03
Develop fluency with multiplication from 1x1 to 12x12 and division up to two-digit by one-digit numbers using:
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3.1.03.a
Strategies for multiplying and dividing numbers.
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3.1.03.b
Estimation of products and quotients in appropriate situations.
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3.1.03.c
Relationships between operations.
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3.1.04
Use basic properties (identity, commutative, associative, order of operations) for addition, subtraction, multiplication, and division.
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3.1.05
Use area or region models and set models of fractions to explore part-whole relationships.
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3.1.05.a
Represent fractions concretely and symbolically (halves, fourths, thirds, sixths, eighths).
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3.1.05.b
Compare and order fractions (halves, fourths, thirds, sixths, eighths) using models and benchmark numbers (zero, one-half, one); describe comparisons.
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3.1.05.c
Model and describe common equivalents, especially relationships among halves, fourths, and eighths, and thirds and sixths.
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3.1.05.d
Understand that the fractional relationships that occur between zero and one also occur between every two consecutive whole numbers.
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3.1.05.e
Understand and use mixed numbers and their equivalent fraction forms.
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3.1.06
Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
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3.MEA
Measurement
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3.2
The learner will recognize and use standard units of metric and customary measurement.
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3.2.01
Solve problems using measurement concepts and procedures involving:
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3.2.01.a
Elapsed time.
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3.2.01.b
Equivalent measures within the same measurement system.
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3.2.02
Estimate and measure using appropriate units.
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3.2.02.a
Capacity (cups, pints, quarts, gallons, liters).
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3.2.02.b
Length (miles, kilometers)
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3.2.02.c
Mass (ounces, pounds, grams, kilograms).
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3.2.02.d
Temperature (Fahrenheit, Celsius).
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3.GEO
Geometry
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3.3
The learner will recognize and use basic geometric properties of two- and three-dimensional figures.
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3.3.01
Use appropriate vocabulary to compare, describe, and classify two- and three-dimensional figures.
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Geometry: Identify planar and solid shapes (Third grade - P.1)
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Geometry: Count and compare sides, edges, faces, and vertices (Third grade - P.2)
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Geometry: Symmetry (Third grade - P.3)
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Geometry: Similar and congruent (Third grade - P.4)
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Geometry: Angles: greater than, less than, or equal to a right angle (Third grade - P.9)
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Geometry: Lines, line segments, and rays (Third grade - P.10)
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Geometry: Is it a polygon? (Third grade - P.11)
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Geometry: Triangles: equilateral, isosceles, and scalene (Third grade - P.12)
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Geometry: Triangles: acute, right, and obtuse (Third grade - P.13)
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3.3.02
Use a rectangular coordinate system to solve problems.
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3.3.02.a
Graph and identify points with whole number and/or letter coordinates.
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3.3.02.b
Describe the path between given points on the plane.
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3.DAP
Data Analysis and Probability
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3.4
The learner will understand and use data and simple probability concepts.
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3.4.01
Collect, organize, analyze, and display data (including circle graphs and tables) to solve problems.
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3.4.02
Determine the number of permutations and combinations of up to three items.
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3.4.03
Solve probability problems using permutations and combinations.
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3.ALG
Algebra
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3.5
The learner will recognize, determine, and represent patterns and simple mathematical relationships.
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3.5.01
Describe and extend numeric and geometric patterns.
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3.5.02
Extend and find missing terms of repeating and growing patterns.
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3.5.03
Use symbols to represent unknown quantities in number sentences.
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3.5.04
Find the value of the unknown in a number sentence.
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