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USD 380 Curriculum: Math

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5th Grade Math Curriculum

by Karen Morton

June 30, 2005

 

Standard 1 Numbers and Computation

(Number Sense – Knowledge Obj. 1a)p

The student knows, explains, and uses equivalent representations for whole numbers from 0 through 1,000,000. (2.4.K1a-b)

(Number Sense – Knowledge Obj. 1b)p

The student knows, explains, and uses equivalent representations for fractions greater than or equal to zero (including mixed numbers). (2.4.K1c)

(Number Sense – Knowledge Obj. 1c) p

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

(Estimation – Knowledge Obj. 2) p

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)

(Estimation – Application Obj. 4) p<

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)

(Computation – Application Obj. 1a)p N

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)

(Computation – Application Obj. 1b) p N

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)

(Computation – Application Obj. 1c) p N

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)

(Computation – Application Obj. 1d) p N

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)

(Computation – Application Obj. 1e) p N

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)

(Computation – Application Obj. 1f) p< N

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)

(Computation – Knowledge Obj. 4) p N

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)

Standard 2: Algebra

(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)

(Variables, Equations, Inequalities

Knowledge Obj. 2) p N

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)

(Functions – Knowledge Obj. 4) p<

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)

Standard 3 Geometry

(Geometric Figures, Properties,- Knowledge Obj. 3)

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)

(Geometric Figures, Properties – Application Obj. 1a)

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)

(Measurement & Estimation  – Knowledge Obj. 4a)

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)

(Measurement – Application Obj. 1a)

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)

(Measurement – Application Obj. 1c)

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)

(Measurement – Application Obj. 1f)

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)

(Measurement – Application Obj. 1g)

The student solves real-world problems by applying appropriate measurements and measurement formulas: perimeter of squares, rectangles, and triangles. (2.4.A1a)

(Measurement – Application Obj. 1h)

The student solves real-world problems by applying appropriate measurements and measurement formulas: area of squares and rectangles. (2.4.A1a)

(Transformational Geometry – Knowledge Obj. 3)

The student recognizes 3-D figures (rectangular prisms, cylinders, cones, spheres, triangular prisms, rectangular pyramids from various perspectives (top, bottom, side, corners)  (2.4K1g) 

Standard 4 Data Analysis

Data Analysis

(Statistics – Knowledge Obj. 1)

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)

(Statistics – Knowledge  Obj. 1a) 

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)

((Statistics – Knowledge Obj. 1b)

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)

(Statistics – Knowledge Obj. 1c) 

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)

(Statistics – Knowledge Obj. 1d) 

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)

(Statistics – Knowledge Obj. 1e) 

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)

(Statistics – Knowledge – Obj. 1f)

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)

(Statistics – Knowledge – Obj. 1g)

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)

Stataistics – Knowledge –Obj. 1h) 

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)

(Statistics – Application Obj. 2 a)

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)

(Statistics – Application Obj. 2 b)

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

(Statistics – Application Obj. 2 c )

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)

(Statistics – Application Obj. 2 d)

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)

(Statistics – Application Obj. 2 e) 

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)

 

 
 

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