Grade 5 MN Math Benchmarks & EM4 Checklist
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Grade 5 MN Math Benchmarks & Where They Appear in Everyday Math 4 - Updated 6.13.17
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NUMBER & OPERATIONS
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BenchmarksUnit 1Unit 2Unit 3Unit 4Unit 5Unit 6Unit 7Unit 8
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5.1.1.1 Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal. XX
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5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately. X
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5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.XXXX
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5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multi-digit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.XX
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5.1.2.1 Read and write decimals using place value to describe decimals in terms of groups from millionths to millions.
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5.1.2.2 Find 0.1 more than a number and 0.1 less than a number. Find 0.01 more than a number and 0.01 less than a number. Find 0.001 more than a number and 0.001 less than a number.
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5.1.2.3 Order fractions and decimals, including mixed numbers and improper fractions, and locate on a number line.
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5.1.2.4 Recognize and generate equivalent decimals, fractions, mixed numbers and improper fractions in various contexts.
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5.1.2.5 Round numbers to the nearest 0.1, 0.01 and 0.001. XXX
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5.1.3.1 Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms. XXX
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5.1.3.2 Model addition and subtraction of fractions and decimals using a variety of representations. XX
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5.1.3.3 Estimate sums and differences of decimals and fractions to assess the reasonableness of results. X
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5.1.3.4 Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry and data. XXXX
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ALGEBRA
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BenchmarksUnit 1Unit 2Unit 3Unit 4Unit 5Unit 6Unit 7Unit 8
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5.2.1.1 Create and use rules, tables, spreadsheets and graphs to describe patterns of change and solve problems. XXX
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5.2.1.2 Use a rule or table to represent ordered pairs of positive integers and graph these ordered pairs on a coordinate system.XXX
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5.2.2.1 Apply the commutative, associative and distributive properties and order of operations to generate equivalent numerical expressions and to solve problems involving whole numbers.
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5.2.3.1 Determine whether an equation or inequality involving a variable is true or false for a given value of the variable.
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5.2.3.2 Represent real-world situations using equations and inequalities involving variables. Create real-world situations corresponding to equations and inequalities.
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5.2.3.3 Evaluate expressions and solve equations involving variables when values for the variables are given.
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GEOMETRY & MEASUREMENT
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BenchmarksUnit 1Unit 2Unit 3Unit 4Unit 5Unit 6Unit 7Unit 8
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5.3.1.1 Describe and classify three-dimensional figures including cubes, prisms and pyramids by the number of edges, faces or vertices as well as the types of faces.
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5.3.1.2 Recognize and draw a net for a three-dimensional figure.
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5.3.2.1 Develop and use formulas to determine the area of triangles, parallelograms and figures that can be decomposed into triangles. XX
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5.3.2.2 Use various tools and strategies to measure the volume and surface area of objects that are shaped like rectangular prisms. XX
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5.3.2.3 Understand that the volume of a three-dimensional figure can be found by counting the total number of same-sized cubic units that fill a shape without gaps or overlaps. Use cubic units to label volume measurements. X
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5.3.2.4 Develop and use the formulas V = ℓwh and V = Bh to determine the volume of rectangular prisms. Justify why base area B and height h are multiplied to find the volume of a rectangular prism by breaking the prism into layers of unit cubes.XXX
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DATA ANALYSIS
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BenchmarksUnit 1Unit 2Unit 3Unit 4Unit 5Unit 6Unit 7Unit 8
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5.4.1.1 Know and use the definitions of the mean, median and range of a set of data. Know how to use a spreadsheet to find the mean, median and range of a data set. Understand that the mean is a "leveling out" of data.
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5.4.1.2 Create and analyze double-bar graphs and line graphs by applying understanding of whole numbers, fractions and decimals. Know how to create spreadsheet tables and graphs to display data. X
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