5th Grade Math Curriculum
by Karen Morton
June 30, 2005
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Standard 1 Numbers and Computation |
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(Number Sense – Knowledge Obj. 1a)p |
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The student knows, explains, and uses equivalent representations for whole numbers from 0 through 1,000,000. (2.4.K1a-b) |
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(Number Sense – Knowledge Obj. 1b)p |
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The student knows, explains, and uses equivalent representations for fractions greater than or equal to zero (including mixed numbers). (2.4.K1c) |
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(Number Sense – Knowledge Obj. 1c) p |
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The student knows, explains, and uses equivalent representations for decimals greater than or equal to zero through hundredths place and when used as monetary amounts. (2.4.K1c |
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(Estimation – Knowledge Obj. 2) p |
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The student uses various estimation strategies to estimate whole number quantities from 0 through 100,000; fractions greater than or equal to zero (including mixed numbers); decimals greater than or equal to zero through hundredths place; and monetary amounts to $10,000 and explains how various strategies are used. (2.4.K1a-c) |
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(Estimation – Application Obj. 4) p< |
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The student determines if a real-world problem calls for an exact or approximate answer using whole numbers from 0 through 100,000 and performs the appropriate computation using various computational methods including mental math, paper and pencil, concrete materials, and appropriate technology. (2.4.A1a) |
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(Computation – Application Obj. 1a)p N |
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The student solves one- and two-step real-world problems using these computational procedures: adds and subtracts whole numbers from 0 through 100,000. (2.4.A1a-b) |
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(Computation – Application Obj. 1b) p N |
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The student solves 1 and 2 two-step real-world problems using these computational procedures: multiplies through a 4-digit whole number by a 2-digit whole number. (2.4.A1a-b) |
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(Computation – Application Obj. 1c) p N |
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The student solves one- and two-step real-world problems using these computational procedures: multiplies monetary amounts up to $1,000 by a one- or two-digit whole number. (2.4.A1c) |
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(Computation – Application Obj. 1d) p N |
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The student solves one- and two-step real-world problems using these computational procedures: divides whole numbers through a 2-digit divisor and a 4-digit dividend with the remainder as a whole number or a fraction. (2.4.A1a-c) |
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(Computation – Application Obj. 1e) p N |
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The student solves one- and two-step real-world problems using these computational procedures: adds and subtracts decimals from thousands place through hundredths place when used as monetary amounts. (2.4.A1a-c) |
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(Computation – Application Obj. 1f) p< N |
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The student solves one- and two-step real-world problems using these computational procedures: multiplies and divides by 10; 100; and 1,000 and single digit multiples of each (10, 20, 30, . . .; 100, 200, 300, . . .; 1,000; 2,000; 3,000; . . .). (2.4.A1a-b) |
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(Computation – Knowledge Obj. 4) p N |
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The student identifies, explains, and finds the greatest common factor and least common multiple of two or more whole numbers through the basic multiplication facts from 1 x 1 through 12 x 12. (2.4.K1d) |
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Standard 2: Algebra |
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(Variables, Equations, Inequalities Knowledge Obj. 1)p |
The student explains and uses variables and symbols to represent unknown whole number quantities from 0 through 1,000 and variable relationships. (2.4.K1a) |
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(Variables, Equations, Inequalities Knowledge Obj. 2) p N |
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The student solves one-step linear equations with one variable and a whole number solution using addition and subtraction with whole numbers from 0 through 100 and multiplication with the basic facts. (2.4.K1a, e) |
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(Functions – Knowledge Obj. 4) p< |
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The student uses a function table (input/output machine, T-table) to identify, plot, and label whole number ordered pairs in the first quadrant of a coordinate plane. (2.4.K1a, f) |
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Standard 3 Geometry |
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(Geometric Figures, Properties,- Knowledge Obj. 3) |
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The student recognizes and describes the solids (cubes, rectangular prisms, cylinders, cones, spheres, triangular prisms, rectangular pyramids, triangular pyramids) using the terms faces, edges, and vertices (corners). (2.4.K1g) |
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(Geometric Figures, Properties – Application Obj. 1a) |
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The student solves real-world problems by applying the properties of plane figures (circles, squares, rectangles, triangles, ellipses, rhombi, parallelograms, hexagons, pentagons) and the line(s) of symmetry. (2.4.A1g) |
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(Measurement & Estimation – Knowledge Obj. 4a) |
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The student converts within the customary system: inches and feet, feet and yards, inches and yards, cups and pints, pints and quarts, quarts and gallons, pounds and ounces. (2.4.K1a) |
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(Measurement – Application Obj. 1a) |
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The student solves real-world problems by applying appropriate measurements and measurement formulas: length to the nearest eighth of an inch or to the nearest centimeter. (2.4.A1a) |
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(Measurement – Application Obj. 1c) |
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The student solves real-world problems by applying appropriate measurements and measurement formulas: weight to the nearest whole unit (pounds, grams, nonstandard unit). (2.4.A1) |
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(Measurement – Application Obj. 1f) |
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The student solves real-world problems by applying appropriate measurements and measurement formulas: months in a year and minutes in an hour. (2.4.A1a) |
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(Measurement – Application Obj. 1g) |
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The student solves real-world problems by applying appropriate measurements and measurement formulas: perimeter of squares, rectangles, and triangles. (2.4.A1a) |
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(Measurement – Application Obj. 1h) |
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The student solves real-world problems by applying appropriate measurements and measurement formulas: area of squares and rectangles. (2.4.A1a) |
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(Transformational Geometry – Knowledge Obj. 3) |
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The student recognizes 3-D figures (rectangular prisms, cylinders, cones, spheres, triangular prisms, rectangular pyramids from various perspectives (top, bottom, side, corners) (2.4K1g) |
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Standard 4 Data Analysis |
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Data Analysis |
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(Statistics – Knowledge Obj. 1) |
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The student organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: graphs using concrete objects. (2.4.K1h) |
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(Statistics – Knowledge Obj. 1a) |
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The student organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: pictographs with a symbol or picture representing one, two, five, ten, twenty-five, or one-hundred including partial symbols when the symbol represents an even amount. (2.4.K1h) |
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((Statistics – Knowledge Obj. 1b) |
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The student organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: frequency tables (tally marks). (2.4.K1h) |
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(Statistics – Knowledge Obj. 1c) |
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The student organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: horizontal and vertical bar graphs. (2.4.K1h) |
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(Statistics – Knowledge Obj. 1d) |
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The student organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: Venn diagrams or other pictorial displays, e.g., glyphs. (2.4.K1h) |
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(Statistics – Knowledge Obj. 1e) |
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The student organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: line plots. (2.4.K1h) |
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(Statistics – Knowledge – Obj. 1f) |
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The student organizes, displays, and reads numerical quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: charts and tables. (2.4.K1h) |
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(Statistics – Knowledge – Obj. 1g) |
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The student organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: line graphs. (2.4.K1h) |
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Stataistics – Knowledge –Obj. 1h) |
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The student organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number intervals using these data displays: circle graphs. (2.4.K1h) |
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(Statistics – Application Obj. 2 a) |
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The student uses these statistical measures of a data set using whole numbers from 0 through 1,000 with less than ten whole number data points to make reasonable inferences and predictions, answer questions, and make decisions: minimum and maximum values. (2.4.A1a) |
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(Statistics – Application Obj. 2 b) |
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The student uses these statistical measures of a data set using whole numbers from 0 through 1,000 with less than ten whole number data points to make reasonable inferences and predictions, answer questions, and make decisions: range. (2.4.A1a |
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(Statistics – Application Obj. 2 c ) |
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The student uses these statistical measures of a data set using whole numbers from 0 through 1,000 with less than ten whole number data points to make reasonable inferences and predictions, answer questions, and make decisions: mode. (2.4.A1a) |
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(Statistics – Application Obj. 2 d) |
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The student uses these statistical measures of a data set using whole numbers from 0 through 1,000 with less than ten whole number data points to make reasonable inferences and predictions, answer questions, and make decisions: median when the data set has an odd number of data points. (2.4.A1a) |
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(Statistics – Application Obj. 2 e) |
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The student uses these statistical measures of a data set using whole numbers from 0 through 1,000 with less than ten whole number data points to make reasonable inferences and predictions, answer questions, and make decisions: mean when the data set has a whole number mean. (2.4.A1a) |






