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3.1
Patterns and Algebraic Reasoning
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3.1.1
Describe (orally or in written form), create, extend and predict patterns using numbers (e.g., 3, 6, 9, 12 . . . , use a function machine to generate input and output values for a table, show multiplication patterns on a hundreds chart).
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3.1.2
Analyze tables to formulate generalizations about patterns in a variety of situations (e.g., list the multiples of 5 in a table to show that multiples of 5 have a 0 or 5 in the ones place; given pairs of numbers with a common relationship, determine the rule and generate additional pairs with the same relationship).
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3.2
Number Sense
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3.2.1
Place Value
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3.2.1.a
Model the concept of place value through 4 digits (e.g., base-10 blocks, bundles of 10s, place value mats).
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3.2.1.b
Read, model and write whole numbers up to 4 digits (e.g., base-10 blocks, expanded form).
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3.2.2
Whole Numbers and Fractions
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3.2.2.a
Compare and order whole numbers up to 4 digits.
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3.2.2.b
Compare and order fractions including halves, thirds and fourths using a model (e.g., fraction circles, pictures, egg cartons, fraction strips).
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3.3
Number Operations and Computation
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3.3.1
Estimate, find the sum and difference, with and without regrouping, of 3- and 4-digit numbers to solve application problems.
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3.3.2
Multiplication Concepts
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3.3.2.a
Demonstrate fluency with basic multiplication facts and fact families.
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3.3.2.b
Develop multiplication algorithms (e.g., use physical materials to show 4 groups of 3 objects, show multiplication as repeated addition).
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3.3.2.c
Estimate the product of 2-digit numbers by rounding to the nearest multiple of 10 to solve application problems.
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3.3.2.d
Recognize and apply the commutative and identity properties of multiplication using models and manipulatives to develop computational skills (e.g., 3 X 5 = 5 X 3, 7 X 1 = 7).
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3.3.3
Solve problems involving money that require addition and subtraction.
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3.4
Geometry and Measurement
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3.4.1
Spatial Reasoning and Coordinate Locations
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3.4.1.a
Describe and compare two- and three-dimensional shapes (e.g., count the edges and faces of a cube, combine or divide basic shapes to form new shapes, identify and draw congruent shapes).
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3.4.1.b
Identify locations on a grid with ordered pairs (e.g., give the location of a ship on a grid by selecting D, 1).
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3.4.2
Measurement
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3.4.2.a
Solve problems with customary units involving length using half-inch and quarter-inch measurements and weight using pound and ounce.
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3.4.2.b
Solve problems with metric units involving length using meter and centimeter and mass using gram and kilogram.
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3.4.2.c
Use manipulatives to develop the concept of perimeter and area (e.g., cover a shape with pattern blocks to find area).
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3.4.3
Develop and use strategies to estimate measurements (e.g., use parts of the body as benchmarks for measuring length).
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3.4.4
Tell time on digital and analog clocks to 5 minutes and use information to solve problems involving time and temperature (e.g., read a thermometer).
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3.5
Data Analysis and Probability
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3.5.1
Data Analysis
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3.5.1.a
Pose questions, collect, record, and interpret data to help answer questions (e.g., Which was the most popular booth at our carnival?).
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3.5.1.b
Read graphs and charts; identify the main idea, draw conclusions, make predictions based on the data (e.g., predict how many children will bring their lunch based on a menu).
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3.5.1.c
Construct a bar graph or pictograph with labels and a title from a set of data.
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3.5.2
Probability
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3.5.2.a
Describe the probability (more, less, or equally likely) of chance events.
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3.5.2.b
List arrangements (permutations) and combinations of up to three items (e.g., possible ways to arrange scoops of chocolate, strawberry and vanilla ice cream on a cone).
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