N.1.1.2 Sort a given set of numbers based upon their divisibility, using organizers such as Venn and Carroll diagrams.
N.1.1.3 Determine the factors of a given number, using the divisibility rules.
N.1.1.4 Explain, using an example, why numbers cannot be divided by 0.
N.1.2 Demonstrate an understanding of the addition, subtraction, multiplication and division of decimals to solve problems (for more than 1-digit divisors or 2-digit multipliers, the use of technology is expected).
N.1.2.1 Solve a given problem involving the addition of two or more decimal numbers.
N.1.4.7 Provide an example where the decimal representation of a fraction is an approximation of its exact value.
N.1.5 Demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially and symbolically (limited to positive sums and differences).
N.1.5.1 Model addition and subtraction of a given positive fraction or given mixed number, using concrete representations, and record symbolically.
N.1.6 Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically.
N.1.6.1 Explain, using concrete materials such as integer tiles and diagrams, that the sum of opposite integers is zero.
N.1.6.2 Illustrate, using a number line, the results of adding or subtracting negative and positive integers; e.g., a move in one direction followed by an equivalent move in the opposite direction results in no net change in position.
N.1.7.1 Order the numbers of a given set that includes positive fractions, positive decimals and/or whole numbers in ascending or descending order; and verify the result, using a variety of strategies.
PR.1.2.3 Sketch the graph from a table of values created for a given linear relation, and describe the patterns found in the graph to draw conclusions; e.g., graph the relationship between n and 2n + 3.
PR.2.3.2 Write equivalent forms of a given equation by applying the preservation of equality, and verify, using concrete materials; e.g., 3b = 12 is the same as 3b + 5 = 12 + 5 or 2r = 7 is the same as 3(2r) = 3(7).
SS.3.4.5 Create shapes and designs, and identify the points used to produce the shapes and designs, in any quadrant of a Cartesian plane.
SS.3.5 Perform and describe transformations (translations, rotations or reflections) of a 2-D shape in all four quadrants of a Cartesian plane (limited to integral number vertices).
SS.3.5.1 Identify the coordinates of the vertices of a given 2-D shape on a Cartesian plane.
SS.3.5.2 Describe the horizontal and vertical movement required to move from a given point to another point on a Cartesian plane.
SS.3.5.3 Describe the positional change of the vertices of a given 2-D shape to the corresponding vertices of its image as a result of a transformation, or successive transformations, on a Cartesian plane.
SP.2.4.2 Provide an example of an event with a probability of 0 or 0% (impossible) and an example of an event with a probability of 1 or 100% (certain).
SP.2.5 Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.
SP.2.5.1 Provide an example of two independent events, such as:
SP.2.5.1.a spinning a four section spinner and an eight-sided die and explain why they are independent.
SP.2.5.1.b tossing a coin and rolling a twelve-sided die and explain why they are independent.
SP.2.5.1.c tossing two coins and explain why they are independent.
SP.2.5.1.d rolling two dice and explain why they are independent.
SP.2.5.2 Identify the sample space (all possible outcomes) for each of two independent events, using a tree diagram, table or other graphic organizer.
SP.2.6 Conduct a probability experiment to compare the theoretical probability (determined using a tree diagram, table or other graphic organizer) and experimental probability of two independent events.
SP.2.6.1 Determine the theoretical probability of a given outcome involving two independent events.
SP.2.6.2 Conduct a probability experiment for an outcome involving two independent events, with and without technology, to compare the experimental probability with the theoretical probability.
SP.2.6.3 Solve a given probability problem involving two independent events.