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.1.6.3 Add two given integers, using concrete materials or pictorial representations, and record the process symbolically.
N.1.7 Compare and order positive fractions, positive decimals (to thousandths) and whole numbers by using:
N.1.7.b place value.
N.1.7.c equivalent fractions and/or decimals.
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.1.2.4 Describe, using everyday language in spoken or written form, the relationship shown on a graph to solve problems.
PR.2 Represent algebraic expressions in multiple ways.
PR.2.3 Demonstrate an understanding of preservation of equality by:
PR.2.3.a modelling preservation of equality, concretely, pictorially and symbolically.
PR.2.3.b applying preservation of equality to solve equations.
PR.2.3.1 Model the preservation of equality for each of the four operations, using concrete materials or pictorial representations; explain the process orally; and record the process symbolically.
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).
PR.2.3.3 Solve a given problem by applying preservation of equality.
PR.2.4 Explain the difference between an expression and an equation.
PR.2.4.1 Identify and provide an example of a constant term, numerical coefficient and variable in an expression and an equation.
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.
SS.3.5.4 Determine the distance between points along horizontal and vertical lines in a Cartesian plane.
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.