Determine and explain why a number is divisible by 2, 3, 4, 5, 6, 8, 9, or 10, and why a number cannot be divided by 0.

C CommunicationR Reasoning

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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, technology could be used).

ME Mental Mathematics and EstimationPS Problem SolvingT Technology

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Solve problems involving percents from 1% to 100%.

C CommunicationCN ConnectionsME Mental Mathematics and EstimationPS Problem SolvingR ReasoningT Technology

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Demonstrate an understanding of the relationship between repeating decimals and fractions, and terminating decimals and fractions.

C CommunicationCN ConnectionsR ReasoningT Technology

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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).

C CommunicationCN ConnectionsME Mental Mathematics and EstimationPS Problem SolvingR ReasoningV Visualization

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Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially, and symbolically.

C CommunicationCN ConnectionsPS Problem SolvingR ReasoningV Visualization

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Compare and order fractions, decimals (to thousandths), and integers by using: benchmarks; place value; equivalent fractions and/or decimals

CN ConnectionsR ReasoningV Visualization

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Demonstrate an understanding of oral and written patterns and their corresponding relations.

C CommunicationCN ConnectionsR Reasoning

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Construct a table of values from a relation, graph the table of values, and analyze the graph to draw conclusions and solve problems.

C CommunicationCN ConnectionsR ReasoningV Visualization

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Demonstrate an understanding of preservation of equality by: modeling preservation of equality, concretely, pictorially, and symbolically; applying preservation of equality to solve equations

C CommunicationCN ConnectionsPS Problem SolvingR ReasoningV Visualization

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Explain the difference between an expression and an equation.

C CommunicationCN Connections

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Evaluate an expression given the value of the variable(s).

CN ConnectionsR Reasoning

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Model and solve problems that can be represented by one-step linear equations of the form x + a = b, concretely, pictorially, and symbolically, where a and b are integers.

CN ConnectionsPS Problem SolvingR ReasoningV Visualization

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Model and solve problems that can be represented by linear equations of the form: ax + b = c; ax = b x; = b, a ¹ 0 a concretely, pictorially, and symbolically, where a, b, and c are whole numbers.

CN ConnectionsPS Problem SolvingR ReasoningV Visualization

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Demonstrate an understanding of circles by: describing the relationships among radius, diameter, and circumference of circles; relating circumference to pi (p); determining the sum of the central angles; constructing circles with a given radius or diameter; solving problems involving the radii, diameters, and circumferences of circles

C CommunicationCN ConnectionsR ReasoningV Visualization

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Develop and apply a formula for determining the area of: triangles; parallelograms; circles

CN ConnectionsPS Problem SolvingR ReasoningV Visualization

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Perform geometric constructions, including: perpendicular line segments; parallel line segments; perpendicular bisectors; angle bisectors

CN ConnectionsR ReasoningV Visualization

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Identify and plot points in the four quadrants of a Cartesian plane using ordered pairs.

C CommunicationCN ConnectionsV Visualization

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Perform and describe transformations of a 2-D shape in all four-quadrants of a Cartesian plane (limited to integral vertices).

C CommunicationCN ConnectionsPS Problem SolvingT TechnologyV Visualization

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Demonstrate an understanding of central tendency and range by: determining the measures of central tendency (mean, median, mode) and range; determining the most appropriate measures of central tendency to report findings

C CommunicationPS Problem SolvingR ReasoningT Technology

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Determine the effect on the mean, median, and mode when an outlier is included in a data set.

C CommunicationCN ConnectionsPS Problem SolvingR Reasoning

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Construct, label, and interpret circle graphs to solve problems.

C CommunicationCN ConnectionsPS Problem SolvingR ReasoningT TechnologyV Visualization

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Express probabilities as ratios, fractions, and percents.

C CommunicationCN ConnectionsR ReasoningT TechnologyV Visualization

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Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.

C CommunicationME Mental Mathematics and EstimationPS Problem Solving

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