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3.CAR.4: Use strategies to multiply one-digit numbers by multiples of 10 ranging from 10-90; strategies are based on place value and properties of operations (e.g., 9 ∙ 80, 5 ∙ 60).

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3.GM.5: Describe area as the number of unit squares that cover a plane figure without gaps and overlaps.

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3.GM.6: Find the area of a rectangle with whole number side lengths by modeling with unit squares and multiplying the side lengths to show the results are the same.

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3.GM.7: Multiply side lengths to find areas of rectangles with whole number side lengths in the context of solving real-world and mathematical problems.

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3.GM.8: Measure and estimate liquid volumes and masses of objects using standard units.

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3.GM.9: Solve one-step real-world problems involving liquid volumes and masses of objects in the same units, using all four operations.

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3.GM.10: Tell and write time to the nearest minute, using analog clocks.

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3.GM.11: Solve word problems involving addition and subtraction of time intervals in minutes.

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3.DA.1: Represent a data set with multiple categories, using a scaled picture graph, scaled bar graph, and a line plot.

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3.DA.2: Solve one and two-step problems, using categorical data represented with a scaled picture graph, scaled bar graph, and a line plot.

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PLACE VALUE

3.NPV.1: Round four-digit whole numbers to the nearest 10 or 100, using place value understanding.

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3.GM.1: Understand that quadrilaterals in different categories may share attributes; those attributes (e.g., four equivalent sides) can define a larger category (e.g., quadrilaterals) or subcategory (e.g., rhombus and square).

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3.NPV.2: Identify the value of thousands, hundreds, tens, and ones place in a four-digit number.

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3.NPV.3: Read and write whole numbers up to 10,000, using base ten numerals, word form, and a variety of expanded forms.

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3.GM.2: Identify perpendicular and parallel lines as well as right angles in two-dimensional shapes and real-world surroundings or objects.

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COMPARISON

3.NPV.4: Compare two four-digit numbers using symbols (<, =, >) based on the value of thousands, hundreds, tens, and ones in the given numbers.

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3.GM.3: Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, identifying and/or drawing examples of quadrilaterals that do not belong to any of these subcategories.

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*3.CAR.2: Use basic fact fluency to multiply and divide whole numbers with mastery by the end of third grade.

*Knowing all products with factors up to and including 12 and the corresponding division facts from the products with factors up to and including 12.

*Using strategies such as the relationship between multiplication and division (e.g., Knowing that 8 ∙ 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations.

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3.CAR.1: Use computational fluency to add and subtract three-digit whole numbers, using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

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*3.GM.4: Measure lengths of objects to the nearest half and quarter inch, using a ruler.

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COMPARISON

3.NPV.5: Compare two fractions with the same numerator or denominator by reasoning about their size based on the same whole; use symbols (<, =, >) and justify the conclusion using visual fraction models, concrete objects, or words.

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3.CAR.3: Apply properties of operations as strategies to multiply and divide. *Properties include: Distributive, Commutative, and Associative Properties of Multiplication.

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*3.CAR.7: Solve two-step real-world situations using addition, subtraction, multiplication, and division, representing these problems using equations with a symbol standing for an unknown quantity.

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FRACTION FOUNDATIONS

3.NPV.6: Identify fractions as parts of a whole and parts of a collection or set.

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3.CAR.8: Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

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3.CAR.9: Understand division as an unknown-factor problem.

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3.CAR.5: Identify arithmetic patterns including, but not limited to, patterns in an addition or multiplication table, explaining use of properties of operations appropriate to the pattern.

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*3.CAR.6: Solve real-world problems using multiplication and division within 100 involving equal groups, arrays, partitive and measurement division.

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FRACTION FOUNDATIONS

3.NPV.7: Partition squares, regular hexagons, and equilateral triangles into parts with equal shares, explaining the shares of each part as a unit fraction of the whole.

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3.NPV.8: Identify and represent a unit fraction as a number on the number line.

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3.NPV.9: Identify and represent a non-unit fraction as a number on the number line, including fractions greater than one.

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3.NPV.10: Decompose and compose a non-unit fraction a/b as the quantity formed by the sum of unit fractions.

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3.NPV.11: Use number lines and visual models to recognize and generate equivalent fractions, explaining how they are equivalent in real-world and mathematical situations.