Core Curriculum Content Standards
4.1.A: Number Sense
4.1.A.1: Extend understanding of the number system by constructing meanings for the following (unless otherwise noted, all indicators for grade 7 pertain to these sets of numbers as well):
4.1.A.3: Understand and use ratios, proportions, and percents (including percents greater than 100 and less than 1) in a variety of situations.
4.1.A.4: Compare and order numbers of all named types.
4.1.A.5: Use whole numbers, fractions, decimals, and percents to represent equivalent forms of the same number.
4.1.B: Numerical Operations
4.1.B.1: Use and explain procedures for performing calculations with integers and all number types named above with:
4.1.B.1.b: Mental math
4.1.B.3: Understand and apply the standard algebraic order of operations, including appropriate use of parentheses.
4.1.C.1: Use equivalent representations of numbers such as fractions, decimals, and percents to facilitate estimation.
4.2.A: Geometric Properties
4.2.A.1: Understand and apply properties of polygons.
4.2.A.1.a: Quadrilaterals, including squares, rectangles, parallelograms, trapezoids, rhombi
4.2.A.2: Understand and apply the concept of similarity.
4.2.A.2.a: Using proportions to find missing measures
4.2.A.2.c: Models of 3D objects
4.2.B: Transforming Shapes
4.2.B.1: Understand and apply transformations.
4.2.B.1.a: Finding the image, given the pre-image, and vice-versa
4.2.B.1.b: Sequence of transformations needed to map one figure onto another
4.2.B.1.c: Reflections, rotations, and translations result in images congruent to the pre-image
4.2.B.1.d: Dilations (stretching/shrinking) result in images similar to the pre-image
4.2.C: Coordinate Geometry
4.2.C.1: Use coordinates in four quadrants to represent geometric concepts.
4.2.C.2: Use a coordinate grid to model and quantify transformations (e.g., translate right 4 units).
4.2.D: Units of Measurement
4.2.D.2: Select and use appropriate units and tools to measure quantities to the degree of precision needed in a particular problem-solving situation.
4.2.E: Measuring Geometric Objects
4.2.E.1: Develop and apply strategies for finding perimeter and area.
4.2.E.1.b: Estimation of area using grids of various sizes
4.2.E.2: Recognize that the volume of a pyramid or cone is one-third of the volume of the prism or cylinder with the same base and height (e.g., use rice to compare volumes of figures with same base and height).
4.3.A.1: Recognize, describe, extend, and create patterns involving whole numbers, rational numbers, and integers.
4.3.A.1.a: Descriptions using tables, verbal and symbolic rules, graphs, simple equations or expressions
4.3.A.1.b: Finite and infinite sequences
4.3.A.1.c: Generating sequences by using calculators to repeatedly apply a formula
4.3.B: Functions and Relationships
4.3.B.1: Graph functions, and understand and describe their general behavior.
4.3.B.1.a: Equations involving two variables
4.3.C.1: Analyze functional relationships to explain how a change in one quantity can result in a change in another, using pictures, graphs, charts, and equations.
4.3.C.2: Use patterns, relations, symbolic algebra, and linear functions to model situations.
4.3.C.2.a: Using manipulatives, tables, graphs, verbal rules, algebraic expressions/equations/inequalities
4.3.C.2.b: Growth situations, such as population growth and compound interest, using recursive (e.g., NOW-NEXT) formulas (cf. science standard 5.5 and social studies standard 6.6)
4.3.D.1: Use graphing techniques on a number line.
4.3.D.1.a: Absolute value
4.3.D.2: Solve simple linear equations informally and graphically.
4.3.D.2.a: Multi-step, integer coefficients only (although answers may not be integers)
4.3.D.2.b: Using paper-and-pencil, calculators, graphing calculators, spreadsheets, and other technology
4.3.D.3: Create, evaluate, and simplify algebraic expressions involving variables.
4.3.D.3.a: Order of operations, including appropriate use of parentheses
4.4.A: Data Analysis
4.4.A.1: Select and use appropriate representations for sets of data, and measures of central tendency (mean, median, and mode).
4.4.A.1.a: Type of display most appropriate for given data
4.4.A.1.b: Box-and-whisker plot, upper quartile, lower quartile
4.4.A.1.c: Scatter plot
4.4.B.1: Interpret probabilities as ratios, percents, and decimals.
4.4.B.2: Model situations involving probability with simulations (using spinners, dice, calculators and computers) and theoretical models.
4.4.B.2.a: Frequency, relative frequency
4.4.B.3: Estimate probabilities and make predictions based on experimental and theoretical probabilities.
4.4.C: Discrete Mathematics-Systematic Listing and Counting
4.4.C.1: Apply the multiplication principle of counting.
4.4.C.1.a: Permutations: ordered situations with replacement (e.g., number of possible license plates) vs. ordered situations without replacement (e.g., number of possible slates of 3 class officers from a 23 student class)
Correlation last revised: 11/13/2008