Core Curriculum Content Standards
4.1.6 A: Number Sense
4.1.6 A.1: Use real-life experiences, physical materials, and technology to construct meanings for numbers (unless otherwise noted, all indicators for grade 6 pertain to these sets of numbers as well).
4.1.6 A.1.a: All integers
4.1.6 A.1.b: All fractions as part of a whole, as subset of a set, as a location on a number line, and as divisions of whole numbers
4.1.6 A.1.c: All decimals
4.1.6 A.4: Explore the use of ratios and proportions in a variety of situations.
4.1.6 A.5: Understand and use whole-number percents between 1 and 100 in a variety of situations.
4.1.6 A.6: Use whole numbers, fractions, and decimals to represent equivalent forms of the same number.
4.1.6 A.7: Develop and apply number theory concepts in problem solving situations.
4.1.6 A.7.a: Primes, factors, multiples
4.1.6 A.7.b: Common multiples, common factors
4.1.6 A.8: Compare and order numbers.
4.1.6 B: Numerical Operations
4.1.6 B.1: Recognize the appropriate use of each arithmetic operation in problem situations.
4.1.6 B.2: Construct, use, and explain procedures for performing calculations with fractions and decimals with:
4.1.6 B.2.a: Pencil-and-paper
4.1.6 B.2.b: Mental math
4.1.6 B.2.c: Calculator
4.1.6 B.3: Use an efficient and accurate pencil-and-paper procedure for division of a 3-digit number by a 2-digit number.
4.1.6 B.5: Find squares and cubes of whole numbers.
4.1.6 B.6: Check the reasonableness of results of computations.
4.1.6 B.7: Understand and use the various relationships among operations and properties of operations.
4.1.6 B.8: Understand and apply the standard algebraic order of operations for the four basic operations, including appropriate use of parentheses.
4.1.6 C: Estimation
4.1.6 C.1: Use a variety of strategies for estimating both quantities and the results of computations.
4.1.6 C.2: Recognize when an estimate is appropriate, and understand the usefulness of an estimate as distinct from an exact answer.
4.1.6 C.3: Determine the reasonableness of an answer by estimating the result of operations.
4.2.6 A: Geometric Properties
4.2.6 A.1: Understand and apply concepts involving lines and angles.
4.2.6 A.1.b: Properties of parallel, perpendicular, and intersecting lines
4.2.6 A.1.c: Sum of the measures of the interior angles of a triangle is 180°
4.2.6 A.2: Identify, describe, compare, and classify polygons and circles.
4.2.6 A.2.a: Triangles by angles and sides
4.2.6 A.2.b: Quadrilaterals, including squares, rectangles, parallelograms, trapezoids, rhombi
4.2.6 A.2.d: Equilateral, equiangular, regular
4.2.6 A.3: Identify similar figures.
4.2.6 A.4: Understand and apply the concepts of congruence and symmetry (line and rotational).
4.2.6 A.5: Compare properties of cylinders, prisms, cones, pyramids, and spheres.
4.2.6 A.6: Identify, describe, and draw the faces or shadows (projections) of three-dimensional geometric objects from different perspectives.
4.2.6 A.8: Identify a three-dimensional shape with a given net (i.e., a flat pattern that folds into a 3D shape).
4.2.6 B: Transforming Shapes
4.2.6 B.1: Use a translation, a reflection, or a rotation to map one figure onto another congruent figure.
4.2.6 C: Coordinate Geometry
4.2.6 C.1: Create geometric shapes with specified properties in the first quadrant on a coordinate grid.
4.2.6 D: Units of Measurement
4.2.6 D.1: Select and use appropriate units to measure angles, area, surface area, and volume.
4.2.6 D.2: Use a scale to find a distance on a map or a length on a scale drawing.
4.2.6 D.3: Convert measurement units within a system (e.g., 3 feet = ___ inches).
4.2.6 D.4: Know approximate equivalents between the standard and metric systems (e.g., one kilometer is approximately 6/10 of a mile).
4.2.6 E: Measuring Geometric Objects
4.2.6 E.2: Develop and apply strategies and formulas for finding perimeter and area.
4.2.6 E.2.a: Triangle, square, rectangle, parallelogram, and trapezoid
4.2.6 E.2.b: Circumference and area of a circle
4.2.6 E.3: Develop and apply strategies and formulas for finding the surface area and volume of rectangular prisms and cylinders.
4.2.6 E.4: Recognize that shapes with the same perimeter do not necessarily have the same area and vice versa.
4.2.6 E.5: Develop informal ways of approximating the measures of familiar objects (e.g., use a grid to approximate the area of the bottom of one's foot).
4.3.6 A: Patterns
4.3.6 A.1: Recognize, describe, extend, and create patterns involving whole numbers and rational numbers.
4.3.6 A.1.a: Descriptions using tables, verbal rules, simple equations, and graphs
4.3.6 A.1.c: Recursive patterns, including Pascal's Triangle (where each entry is the sum of the entries above it) and the Fibonacci Sequence: 1, 1, 2, 3, 5, 8,... (where NEXT = NOW + PREVIOUS)
4.3.6 B: Functions and Relationships
4.3.6 B.1: Describe the general behavior of functions given by formulas or verbal rules (e.g., graph to determine whether increasing or decreasing, linear or not).
4.3.6 C: Modeling
4.3.6 C.1: Use patterns, relations, and linear functions to model situations.
4.3.6 C.1.a: Using variables to represent unknown quantities
4.3.6 C.1.b: Using concrete materials, tables, graphs, verbal rules, algebraic expressions/equations/inequalities
4.3.6 D: Procedures
4.3.6 D.1: Solve simple linear equations with manipulatives and informally.
4.3.6 D.1.a: Whole-number coefficients only, answers also whole numbers
4.3.6 D.1.b: Variables on one or both sides of equation
4.3.6 D.2: Understand and apply the properties of operations and numbers.
4.3.6 D.2.a: Distributive property
4.3.6 D.3: Evaluate numerical expressions.
4.4.6 A: Data Analysis
4.4.6 A.1: Collect, generate, organize, and display data.
4.4.6 A.1.a: Data generated from surveys
4.4.6 A.2: Read, interpret, select, construct, analyze, generate questions about, and draw inferences from displays of data.
4.4.6 A.2.a: Bar graph, line graph, circle graph, table, histogram
4.4.6 A.2.b: Range, median, and mean
4.4.6 B: Probability
4.4.6 B.1: Determine probabilities of events.
4.4.6 B.1.b: Multiplication rule for probabilities
4.4.6 B.1.c: Probability of certain event is 1 and of impossible event is 0
4.4.6 B.1.d: Probabilities of event and complementary event add up to 1
4.4.6 B.2: Determine probability using intuitive, experimental, and theoretical methods (e.g., using model of picking items of different colors from a bag).
4.4.6 B.2.a: Given numbers of various types of items in a bag, what is the probability that an item of one type will be picked
4.4.6 B.2.b: Given data obtained experimentally, what is the likely distribution of items in the bag
4.4.6 B.3: Explore compound events.
4.4.6 B.4: Model situations involving probability using simulations (with spinners, dice) and theoretical models.
4.4.6 B.5: Recognize and understand the connections among the concepts of independent outcomes, picking at random, and fairness.
4.4.6 C: Discrete Mathematics-Systematic Listing and Counting
4.4.6 C.1: Solve counting problems and justify that all possibilities have been enumerated without duplication.
4.4.6 C.1.a: Organized lists, charts, tree diagrams, tables
4.4.6 C.1.b: Venn diagrams
4.4.6 C.2: Apply the multiplication principle of counting.
4.4.6 C.2.b: Number of ways a specified number of items can be arranged in order (concept of permutation)
4.4.6 C.2.c: Number of ways of selecting a slate of officers from a class (e.g., if there are 23 students and 3 officers, the number is 23 x 22 x 21)
4.4.6 C.3: List the possible combinations of two elements chosen from a given set (e.g., forming a committee of two from a group of 12 students, finding how many handshakes there will be among ten people if everyone shakes each other person's hand once).
Correlation last revised: 4/4/2018