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USD 380 Curriculum: Math

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7th Grade Math Curriculum

by Karen Morton

June 30, 2005

 

Standard 1 Numbers and Computation

Number Sense – Application Obj. 1a p

The student generates and/or solves real-world problems using equivalent representations of rational numbers and simple algebraic expressions. (2.4.A1a)

Computation – Knowledge Obj. 2a p N

The student performs and explains these computational procedures: adds and subtracts decimals from ten millions place through hundred thousandths place. (2.4.K1a)

Computation – Knowledge Obj. 2b p N

The student performs and explains these computational procedures: multiplies and divides a four-digit number by a two-digit number using numbers from thousands place through thousandths place. (2.4.K1a)

Computation – Knowledge Obj. 2c  p N

The student performs and explains these computational procedures: multiplies and divides using numbers from thousands place through thousandths place by 10; 100; 1,000; .1; .01; .001; or single-digit multiplies of each. (2.4.K1a

Computation – Knowledge Obj. 2d p N

The student performs and explains these computational procedures: adds, subtracts, multiplies, and divides fractions and expresses answers in simplest form. (2.4.K1a)

Computation –Application Obj. 1a <

The student generates and/or solves one- and two-step real-world problems using these computational procedures and mathematical concepts: addition, subtraction, multiplication, and division of rational numbers with a special emphasis on fractions and expressing answers in simplest form. (2.4.A1a)

Computation – Knowledge Obj. 5  p

The student finds percentages of rational numbers. (2.4.K1a, c)

Standard 2 Algebra

Patterns – Knowledge Obj. 1ap

The student identifies, states, and continues a pattern presented in various formats including numeric (list or table), algebraic (symbolic notation), visual (picture, table, or graph), verbal (oral description), kinesthetic (action), and written using these attributes: counting numbers including perfect squares, cubes, and factors and multiples. (2.4.K1a)

Patterns – Knowledge Obj. 1b p

The student identifies, states, and continues a pattern presented in various formats including numeric (list or table), algebraic (symbolic notation), visual (picture, table, or graph), verbal (oral description), kinesthetic (action), and written using these attributes: positive rational numbers including arithmetic and geometric sequences (arithmetic: sequence of numbers in which the difference of two consecutive numbers is the same, geometric: a sequence of numbers in which each succeeding term is obtained by multiplying the preceding term by the same number). (2.4.K1a)

Patterns – Knowledge Obj. 4 p<

The student states the rule to find the nth term of a pattern with one operational change (addition or subtraction) between consecutive terms. (2.4.K1a)

Variables, Equations, Inequalities – Knowledge Obj. 7 p

The student knows the mathematical relationship between ratios, proportions, and percents and how to solve for a missing term in a proportion with positive rational number solutions and monomials.(2.4.K1a,c)

Variables, Equations, Inequalities – Knowledge Obj. 8 p

The student evaluates simple algebraic expressions using positive rational numbers. (2.4.K1c)

Variables, Equations, Inequalities – Application Obj. 1 p

The student represents real-world problems using variables and symbols to write linear expressions, one- or two-step equations. (2.4.A1e)

Standard 3 Geometry

Geometric Figures & Properties  – Knowledge 3 ap

The student identifies angle and side properties of triangles and quadrilaterals: sum of the interior angles of any triangle is 180°.(2.4.K1h)

Geometric Figures & Properties  – Knowledge 3 b p

The student identifies angle and side properties of triangles and quadrilaterals: sum of the interior angles of any quadrilateral is 360°.(2.4.K1h)

Geometric Figures & Properties  – Knowledge 3 c p

The student identifies angle and side properties of triangles and quadrilaterals: parallelograms have opposite sides that are parallel and congruent. (2.4.K1h

Geometric Figures & Properties  – Knowledge 3 d p

The student identifies angle and side properties of triangles and quadrilaterals: rectangles have angles of 90°, opposite sides are congruent.  (2.4.A1h)

Geometric Figures & Properties  – Knowledge 3 e p

The student identifies angle and side properties of triangles and quadrilaterals: rhombi have all sides the same length, opposite angles are congruent. (2.4.A1h)

Geometric Figures & Properties  – Knowledge 3 f p

The student identifies angle and side properties of triangles and quadrilaterals: squares have angles of 90°, all sides congruent. (2.4.A1h)

Geometric Figures & Properties  – Knowledge 3 g p

The student identifies angle and side properties of triangles and quadrilaterals: trapezoids have one pair of opposite sides parallel and the other pair of opposite sides are not parallel. (2.4.A1h)

Measurement & Estimation – Knowledge Obj. 4  p

The student knows and uses perimeter and area formulas for circles, squares, rectangles, triangles, and parallelograms. (2.4.A1h)

Measurement & Estimation – Knowledge Obj. 6a  p

The student uses given measurement formulas to find surface area of cubes. (2.4.A1h)

Measurement & Estimation – Knowledge Obj. 6b   p

The student uses given measurement formulas to find volume of rectangular prisms. (2.4.K1h)

Measurement & Estimation – Application 1c  p<

The student solves real-world problems by finding perimeter and area of two-dimensional composite figures of squares, rectangles, and triangles. (2.4.A1h)

Transformational Geometry – Application 3   p<

The student determines the actual dimensions and/or measurements of a two-dimensional figure represented in a scale drawing. (2.4.A1i)

Standard 4 Data Analysis

Data – Knowledge Obj. 1ap

The student organizes, displays, and reads quantitative (numerical) and qualitative (non-numerical) data in a clear, organized, and accurate manner including a title, labels, categories, and rational number intervals using these data displays: frequency tables. (2.4.K1j)

Data – Knowledge Obj. 1b  p

The student organizes, displays, and reads quantitative (numerical) and qualitative (non-numerical) data in a clear, organized, and accurate manner including a title, labels, categories, and rational number intervals using these data displays: bar, line, and circle graphs. (2.4.K1j)

Data – Knowledge Obj. 1c p

The student organizes, displays, and reads quantitative (numerical) and qualitative (non-numerical) data in a clear, organized, and accurate manner including a title, labels, categories, and rational number intervals using these data displays: Venn diagrams, or other pictorial displays. (2.4.K1j)

Data – Knowledge Obj. 1d p

The student organizes, displays, and reads quantitative (numerical) and qualitative (non-numerical) data in a clear, organized, and accurate manner including a title, labels, categories, and rational number intervals using these data displays: charts and tables. (2.4.K1j)

Data – Knowledge Obj. 1e p

The student organizes, displays, and reads quantitative (numerical) and qualitative (non-numerical) data in a clear, organized, and accurate manner including a title, labels, categories, and rational number intervals using these data displays: stem-and-leaf plots (single). (2.4.K1j)

Data – Knowledge Obj. 1f p

The student organizes, displays, and reads quantitative (numerical) and qualitative (non-numerical) data in a clear, organized, and accurate manner including a title, labels, categories, and rational number intervals using these data displays: scatter plots. (2.4.K1j)

Data – Knowledge Obj. 1g p

The student organizes, displays, and reads quantitative (numerical) and qualitative (non-numerical) data in a clear, organized, and accurate manner including a title, labels, categories, and rational number intervals using these data displays: box-and-whiskers plots. (2.4.K1j)

Data – Application  Obj. 3a p<

The student recognizes and explains misleading representations of data. (2.4.K1j)

Data – Application 3b p

The student recognizes and explains the effects of scale or interval changes on graphs of data sets. (2.4.K1j)

 

 
 

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