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3.NBT Number Sense and Operations in Base Ten
- 3.NBT.A Use place value understanding and properties of operations to perform multi-digit arithmetic.
- 3.NBT.A.1 Round whole numbers to the nearest 10 or 100.
- 3.NBT.A.2 Read, write and identify whole numbers within 100,000 using base ten numerals, number names and expanded form.
- 3.NBT.A.3 Demonstrate fluency with addition and subtraction within 1000.
- 3.NBT.A.4 Multiply whole numbers by multiples of 10 in the range 10-90. Multiply whole numbers by multiples of 10 in the range 10-90.
3.NF Number Sense and Operations in Fractions
- 3.NF.A Develop understanding of fractions as numbers.
- 3.NF.A.1 Understand a unit fraction as the quantity formed by one part when a whole is partitioned into equal parts.
- 3.NF.A.2 Understand that when a whole is partitioned equally, a fraction can be used to represent a portion of the whole.
- 3.NF.A.2.a Describe the numerator as representing the number of pieces being considered.
- 3.NF.A.2.b Describe the denominator as the number of pieces that make the whole.
- 3.NF.A.3 Represent fractions on a number line.
- 3.NF.A.3.a Understand the whole is the interval from 0 to 1.
- 3.NF.A.3.b Understand the whole is partitioned into equal parts.
- 3.NF.A.3.c Understand a fraction represents the endpoint of the length a given number of partitions from 0.
- 3.NF.A.4 Demonstrate that two fractions are equivalent if they are the same size, or the same point on a number line.
- 3.NF.A.5 Recognize and generate equivalent fractions using visual models, and justify why the fractions are equivalent.
- 3.NF.A.6 Compare two fractions with the same numerator or denominator using the symbols >, = or <, and justify the solution.
- 3.NF.A.7 Explain why fraction comparisons are only valid when the two fractions refer to the same whole.
3.RA Relationships and Algebraic Thinking
- 3.RA.A Represent and solve problems involving multiplication and division.
- 3.RA.A.1 Interpret products of whole numbers.
- 3.RA.A.2 Interpret quotients of whole numbers.
- 3.RA.A.3 Describe in words or drawings a problem that illustrates a multiplication or division situation.
- 3.RA.A.4 Use multiplication and division within 100 to solve problems.
- 3.RA.A.5 Determine the unknown number in a multiplication or division equation relating three whole numbers.
- 3.RA.B Understand properties of multiplication and the relationship between multiplication and division.
- 3.RA.B.6 Apply properties of operations as strategies to multiply and divide.
- 3.RA.C Multiply and divide within 100.
- 3.RA.C.7 Multiply and divide with numbers and results within 100 using strategies such as the relationship between multiplication and division or properties of operations. Know all products of two one-digit numbers.
- 3.RA.C.8 Demonstrate fluency with products within 100.
- 3.RA.D Use the four operations to solve word problems.
- 3.RA.D.9 Write and solve two-step problems involving variables using any of the four operations.
- 3.RA.D.10 Interpret the reasonableness of answers using mental computation and estimation strategies including rounding.
- 3.RA.E Identify and explain arithmetic patterns.
- 3.RA.E.11 Identify arithmetic patterns and explain the patterns using properties of operations.
3.GM Geometry and Measurement
- 3.GM.A Reason with shapes and their attributes.
- 3.GM.A.1 Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category.
- 3.GM.A.2 Distinguish rhombuses and rectangles as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to these subcategories.
- 3.GM.A.3 Partition shapes into parts with equal areas, and express the area of each part as a unit fraction of the whole.
- 3.GM.B Solve problems involving the measurement of time, liquid volumes and weights of objects.
- 3.GM.B.4 Tell and write time to the nearest minute.
- 3.GM.B.5 Estimate time intervals in minutes.
- 3.GM.B.6 Solve problems involving addition and subtraction of minutes.
- 3.GM.B.7 Measure or estimate length, liquid volume and weight of objects.
- 3.GM.B.8 Use the four operations to solve problems involving lengths, liquid volumes or weights given in the same units.
- 3.GM.C Understand concepts of area.
- 3.GM.C.9 Calculate area by using unit squares to cover a plane figure with no gaps or overlaps.
- 3.GM.C.10 Label area measurements with squared units.
- 3.GM.C.11 Demonstrate that tiling a rectangle to find the area and multiplying the side lengths result in the same value.
- 3.GM.C.12 Multiply whole-number side lengths to solve problems involving the area of rectangles.
- 3.GM.C.13 Find rectangular arrangements that can be formed for a given area.
- 3.GM.C.14 Decompose a rectangle into smaller rectangles to find the area of the original rectangle.
- 3.GM.D Understand concepts of perimeter.
- 3.GM.D.15 Solve problems involving perimeters of polygons.
- 3.GM.D.16 Understand that rectangles can have equal perimeters but different areas, or rectangles can have equal areas but different perimeters.
3.DS Data and Statistics
- 3.DS.A Represent and analyze data.
- 3.DS.A.1 Create frequency tables, scaled picture graphs and bar graphs to represent a data set with several categories.
- 3.DS.A.2 Solve one- and two-step problems using information presented in bar and/or picture graphs.
- 3.DS.A.3 Create a line plot to represent data.
- 3.DS.A.4 Use data shown in a line plot to answer questions.