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Add, Subtract, Multiply & Divide fractions and decimals with and without common denominators

Add & Subtract whole numbers with Identify and name values ranging from hundred thousandths to trillions

Multiply and divide (long division) whole numbers through the millions

Memorization of addition, subtraction and multiplication facts

Conversion of measurement units within a measurement system

Area and perimeter (circumference) of squares, rectangles, triangles, circles, parallelograms, trapezoids and composite shapes.

Graph points on a coordinate plane

Apply the properties of operations to simplify calculations

Fluently convert between fractions, decimals, and percents

Solve one-step equations, emphasizing the idea of maintaining equality on both sides of an equation.

Add, Subtract, Multiply & Divide integers.

Surface Area & Volume of basic 3-D objects

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8.1

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8.2

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Algebra: Analyze and represent linear functions and solve linear equations and systems of linear equations

Translate among contextual, verbal, tabular, graphical and algebraic representations of linear functions.

Determine the slope of a line and understand that it is a constant rate of change.

Identify and interpret the properties (ie slope, intercepts, continuity and discreteness) of linear relationships as they are shown in the different representations and recognize proportional relationships (y/x = k or y = kx) as a special case.

Use linear functions and equations to represent, analyze and solve problems and to make predictions and inferences.

Relate systems of two linear equations in two variables and their solutions to pairs of lines that are intersecting, parallel or the same line.

Use informal strategies (eg graphs and tables) to solve problems involving systems of linear equations in two variables.

Data Analysis and Algebra: Analyze and summarize data sets

Organize and display data (eg histograms, box-and-whisker plots, scatter plots) to pose and answer questions; and justify the reasonableness of the choice of display.

Use measures of center and spread to summarize and compare sets.

Interpret and analyze displays of data and descriptive statistics

Compare descriptive statistics and evaluate how changes in data affect those statistics

Describe the strengths and limitations of a particular statistical measure and justify or critique its use in a given situation

Use data to make predictions regarding a population

Identify claims based on statistical data and evaluate the reasonableness of those claims.

Use data to estimate the likelihood of future events and evaluate the reasonableness of predictions.

Geometry and Measurement: Analyze two- and three-dimensional spaces and figures by using distance and angle.

Use properties of parallel lines, transversals and angles to find missing sides and angles and to solve problems including determining similarity or congruence of triangles.

Use models to show that the sum of the angles of any triangle is 180 degrees and apply this fact to find unknown angles.

Use models and logical arguments to show that the sum of the angles of any quadrilateral is 360 degrees and apply this fact to find unknown angles.

Use models to explore the validity of the Pythagorean Theorem and use it to find missing lengths.

Apply the Pythagorean Theorem to find distances in a variety of 2- and 3- dimensional contexts, including the distance on a coordinate grid.

Use models and referents to explore and estimate square roots.

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