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Language Arts BenchmarksLA.8.1.6.5The student will relate new vocabulary to familiar words;LA.8.2.2.3The student will organize information to show understanding or relationships among facts, ideas, and events (e.g., representing key points within text through charting, mapping, paraphrasing, summarizing, or comparing/contrasting);LA.8.3.1.2The student will prewrite by making a plan for writing that addresses purpose, audience, main idea, logical sequence, and time frame for completion; andMathematics BenchmarksBig Idea 1: Analyze and represent linear functions and solve linear equations and systems of linear equations.MA.8.A.1.1 Create and interpret tables, graphs, and models to represent, analyze, and solve problems related to linear equations, including analysis of domain, range and the difference between discrete and continuous data.Learning Goals:  2-1CI can graph ordered pairs on the coordinate plane and use the coordinate plane to represent functions.  2-2BI can translate information in tables to expressions.  2-3AI can determine whether a relation is a function  2-3BI can complete function tables.  2-3CI can represent linear functions using function tables and graphs.  2-3CI can determine whether a set of data is continuous or discrete.  3-1DI can compare and contrast proportional and non-proportional linear relationships.  3-3AI can guess, check, and revise to solve problems.MA.8.A.1.2Interpret the slope and the 𝑥- and 𝑦-intercepts when graphing a linear equation for a real-world problem.Learning Goals:  3-1AI can identify proportional and non-proportional linear relationships by finding a constant rate of change.  3-1CI can find the slope of a line.  3-1EI can use direct variation to solve problems.  3-2AI can graph linear equations using the slope and y-intercept.  3-2BI can graph a function using the x- and y-intercepts.MA.8.A.1.3Use tables, graphs, and models to represent, analyze, and solve real-world problems related to systems of linear equations. Learning Goals:  3-3BI can find one solution for a set of two equations.  3-3DI can solve systems of equations by substitution.MA.8.A.1.4Identify the solution to a system of linear equations using graphs.Learning Goals:  3-3CI can solve systems of equations by graphing.MA.8.A.1.5Translate among verbal, tabular, graphical and algebraic representations of linear functions.Learning Goals:  2-1BI can translate verbal phrases into algebraic expressions.  2-1BI can evaluate algebraic expressions.  2-2DI can translate tables into linear equations.MA.8.A.1.6Compare the graphs of linear and non-linear functions for real-world situations.Learning Goals:  2-3DI can determine whether a function is linear or non-linear.<br />Big Idea 2: Analyze two- and three-dimensional figures by using distance and angle.MA.8.G.2.1Use similar triangles to solve problems that include height and distances.Learning Goals:  7-1BI can identify similar polygons and find missing measures of similar polygons.  7-1DI can solve problems involving similar triangles.  7-2EI can graph and analyze slope triangles.  7-2FI can use special right triangles to solve problems.MA.8.G.2.2Classify and determine the measure of angles, including angles created when parallel lines are cut by transversals.Learning Goals:  6-1AI can measure and draw angles.  6-1BI can classify angles and identify vertical and adjacent angles.  6-1CI can identify complementary and supplementary angles and find missing angle measures.   6-2BI can identify relationships of angles formed by two parallel lines cut by a transversal.MA.8.G.2.3Demonstrate that the sum of the angles in a triangle is 180-degrees and apply this fact to find unknown measure of angles, and the sum of angles in polygons.Learning Goals:  6-3BI can find missing angle measures in triangles.  6-3DI can identify and classify quadrilaterals.  6-3EI can find the sum of the angle measures of a polygon and the measure of an interior angle of a regular polygon.MA.8.G.2.4Validate and apply Pythagorean Theorem to find distances in real world situations or between points in the coordinate plane.Learning Goals:  7-2BI can use the Pythagorean Theorem.  7-2CI can solve problems using the Pythagorean Theorem.  7-2DI can find the distance between two points on the coordinate plane.Big Idea 3: Analyze and summarize data sets.MA.8.S.3.1Select, organize and construct appropriate data displays, including box and whisker plots, scatter plots, and lines of best fit to convey information and make conjectures about possible relationships.Learning Goals:  8-2AI can find the measures of variation of a set of data.  8-2BI can display and interpret data in a box-and-whisker plot.  8-2CI can compare data in box-and-whisker plots.  8-3CI can construct and make conjectures about scatter plots.  8-3DI can draw lines of best fit and use them to make predictions about data.  8-3GI can select an appropriate display for a set of data.MA.8.S.3.2Determine and describe how changes in data values impact measures of central tendency.Learning Goals:  8-1AI can find the mean, median, and mode of a set of data.  8-1CI can determine and describe how changes in data values impact measures of central tendency.Supporting Idea: AlgebraMA.8.A.4.1Solve literal equations for a specified variable.Learning Goals:  9-1AI can solve literal equations for indicated variable.MA.8.A.4.2Solve and graph one- and two-step inequalities in one variable.Learning Goals:  4-1BI can write algebraic equations from verbal sentences and problem situations.  4-1CI can solve equations using the addition or subtraction properties of equality.  4-1DI can solve equations using the multiplication or division properties of equality.  4-2BI can solve two-step equations.  4-2CI can write two-step equations that represent real-world situations.  4-3AI can write one-step inequalities.  4-3BI can solve and graph one-step inequalities in one variable by using the addition or subtraction properties of inequalities.  4-3CI can solve and graph one-step inequalities in one variable by using the multiplication or division properties of inequalities.  4-4AI can solve and graph two-step inequalities in one variable by using the addition, subtraction, multiplication, or division properties of inequalities.Supporting Idea: Geometry and MeasurementMA.8.G.5.1Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)) and dimensions including temperature, area, volume, and derived units to solve problems.Learning Goals:  9-1BI can convert temperatures between Fahrenheit and Celsius scales.  9-2AI can convert customary and metric units of length, weight or mass, capacity, and time.  9-2BI can convert rates using dimensional analysis.  9-2CI can convert units of area and volume between customary and metric systems.Supporting Idea: Number and Operations MA.8.A.6.1Use exponents and scientific notation to write large and small numbers and vice versa and to solve problems.Learning Goals:  5-1AI can use powers and exponents to write large and small numbers.  5-2BI can use scientific notation to write large and small numbers.  5-2CI can compute numbers written in scientific notation.MA.8.A.6.2Make reasonable approximations of square roots and mathematical expressions that include square roots, and use them to estimate solutions to problems and to compare mathematical expressions involving real numbers and radical expressions.Learning Goals:  5-3BI can estimate square roots of non-perfect squares.  5-3CI can use square roots to estimate solutions.  5-3DI can compare mathematical expressions involving real numbers.MA.8.A.6.3Simplify real number expressions using the laws of exponents.Learning Goals:  5-1BI can simplify real number expressions by multiplying and dividing monomials.  5-1CI can use the law of exponents to find powers of monomials.  5-2AI can write and evaluate expressions using negative exponents.MA.8.A.6.4Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.Learning Goals:  1-1AI can express rational numbers as decimals and decimals as fractions.  1-1BI can add and subtract rational numbers.  1-1C I can multiply rational numbers.  1-1DI can divide rational numbers.  1-2BI can compare and order rational numbers.  1-2CI can solve problems using the percent proportion and equation.  1-3AI can apply percents to find discount, markup and sales tax.  1-3BI can solve problems involving simple interest.  1-3CI can solve problems involving compound interest.  1-3DI can find and use the percent of increase and decrease.  5-3AI can find square roots of perfect squares.<br />
Learning goals ngsss math course 3
Learning goals ngsss math course 3
Learning goals ngsss math course 3

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  • 1. Language Arts BenchmarksLA.8.1.6.5The student will relate new vocabulary to familiar words;LA.8.2.2.3The student will organize information to show understanding or relationships among facts, ideas, and events (e.g., representing key points within text through charting, mapping, paraphrasing, summarizing, or comparing/contrasting);LA.8.3.1.2The student will prewrite by making a plan for writing that addresses purpose, audience, main idea, logical sequence, and time frame for completion; andMathematics BenchmarksBig Idea 1: Analyze and represent linear functions and solve linear equations and systems of linear equations.MA.8.A.1.1 Create and interpret tables, graphs, and models to represent, analyze, and solve problems related to linear equations, including analysis of domain, range and the difference between discrete and continuous data.Learning Goals: 2-1CI can graph ordered pairs on the coordinate plane and use the coordinate plane to represent functions. 2-2BI can translate information in tables to expressions. 2-3AI can determine whether a relation is a function 2-3BI can complete function tables. 2-3CI can represent linear functions using function tables and graphs. 2-3CI can determine whether a set of data is continuous or discrete. 3-1DI can compare and contrast proportional and non-proportional linear relationships. 3-3AI can guess, check, and revise to solve problems.MA.8.A.1.2Interpret the slope and the 𝑥- and 𝑦-intercepts when graphing a linear equation for a real-world problem.Learning Goals: 3-1AI can identify proportional and non-proportional linear relationships by finding a constant rate of change. 3-1CI can find the slope of a line. 3-1EI can use direct variation to solve problems. 3-2AI can graph linear equations using the slope and y-intercept. 3-2BI can graph a function using the x- and y-intercepts.MA.8.A.1.3Use tables, graphs, and models to represent, analyze, and solve real-world problems related to systems of linear equations. Learning Goals: 3-3BI can find one solution for a set of two equations. 3-3DI can solve systems of equations by substitution.MA.8.A.1.4Identify the solution to a system of linear equations using graphs.Learning Goals: 3-3CI can solve systems of equations by graphing.MA.8.A.1.5Translate among verbal, tabular, graphical and algebraic representations of linear functions.Learning Goals: 2-1BI can translate verbal phrases into algebraic expressions. 2-1BI can evaluate algebraic expressions. 2-2DI can translate tables into linear equations.MA.8.A.1.6Compare the graphs of linear and non-linear functions for real-world situations.Learning Goals: 2-3DI can determine whether a function is linear or non-linear.<br />Big Idea 2: Analyze two- and three-dimensional figures by using distance and angle.MA.8.G.2.1Use similar triangles to solve problems that include height and distances.Learning Goals: 7-1BI can identify similar polygons and find missing measures of similar polygons. 7-1DI can solve problems involving similar triangles. 7-2EI can graph and analyze slope triangles. 7-2FI can use special right triangles to solve problems.MA.8.G.2.2Classify and determine the measure of angles, including angles created when parallel lines are cut by transversals.Learning Goals: 6-1AI can measure and draw angles. 6-1BI can classify angles and identify vertical and adjacent angles. 6-1CI can identify complementary and supplementary angles and find missing angle measures. 6-2BI can identify relationships of angles formed by two parallel lines cut by a transversal.MA.8.G.2.3Demonstrate that the sum of the angles in a triangle is 180-degrees and apply this fact to find unknown measure of angles, and the sum of angles in polygons.Learning Goals: 6-3BI can find missing angle measures in triangles. 6-3DI can identify and classify quadrilaterals. 6-3EI can find the sum of the angle measures of a polygon and the measure of an interior angle of a regular polygon.MA.8.G.2.4Validate and apply Pythagorean Theorem to find distances in real world situations or between points in the coordinate plane.Learning Goals: 7-2BI can use the Pythagorean Theorem. 7-2CI can solve problems using the Pythagorean Theorem. 7-2DI can find the distance between two points on the coordinate plane.Big Idea 3: Analyze and summarize data sets.MA.8.S.3.1Select, organize and construct appropriate data displays, including box and whisker plots, scatter plots, and lines of best fit to convey information and make conjectures about possible relationships.Learning Goals: 8-2AI can find the measures of variation of a set of data. 8-2BI can display and interpret data in a box-and-whisker plot. 8-2CI can compare data in box-and-whisker plots. 8-3CI can construct and make conjectures about scatter plots. 8-3DI can draw lines of best fit and use them to make predictions about data. 8-3GI can select an appropriate display for a set of data.MA.8.S.3.2Determine and describe how changes in data values impact measures of central tendency.Learning Goals: 8-1AI can find the mean, median, and mode of a set of data. 8-1CI can determine and describe how changes in data values impact measures of central tendency.Supporting Idea: AlgebraMA.8.A.4.1Solve literal equations for a specified variable.Learning Goals: 9-1AI can solve literal equations for indicated variable.MA.8.A.4.2Solve and graph one- and two-step inequalities in one variable.Learning Goals: 4-1BI can write algebraic equations from verbal sentences and problem situations. 4-1CI can solve equations using the addition or subtraction properties of equality. 4-1DI can solve equations using the multiplication or division properties of equality. 4-2BI can solve two-step equations. 4-2CI can write two-step equations that represent real-world situations. 4-3AI can write one-step inequalities. 4-3BI can solve and graph one-step inequalities in one variable by using the addition or subtraction properties of inequalities. 4-3CI can solve and graph one-step inequalities in one variable by using the multiplication or division properties of inequalities. 4-4AI can solve and graph two-step inequalities in one variable by using the addition, subtraction, multiplication, or division properties of inequalities.Supporting Idea: Geometry and MeasurementMA.8.G.5.1Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)) and dimensions including temperature, area, volume, and derived units to solve problems.Learning Goals: 9-1BI can convert temperatures between Fahrenheit and Celsius scales. 9-2AI can convert customary and metric units of length, weight or mass, capacity, and time. 9-2BI can convert rates using dimensional analysis. 9-2CI can convert units of area and volume between customary and metric systems.Supporting Idea: Number and Operations MA.8.A.6.1Use exponents and scientific notation to write large and small numbers and vice versa and to solve problems.Learning Goals: 5-1AI can use powers and exponents to write large and small numbers. 5-2BI can use scientific notation to write large and small numbers. 5-2CI can compute numbers written in scientific notation.MA.8.A.6.2Make reasonable approximations of square roots and mathematical expressions that include square roots, and use them to estimate solutions to problems and to compare mathematical expressions involving real numbers and radical expressions.Learning Goals: 5-3BI can estimate square roots of non-perfect squares. 5-3CI can use square roots to estimate solutions. 5-3DI can compare mathematical expressions involving real numbers.MA.8.A.6.3Simplify real number expressions using the laws of exponents.Learning Goals: 5-1BI can simplify real number expressions by multiplying and dividing monomials. 5-1CI can use the law of exponents to find powers of monomials. 5-2AI can write and evaluate expressions using negative exponents.MA.8.A.6.4Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.Learning Goals: 1-1AI can express rational numbers as decimals and decimals as fractions. 1-1BI can add and subtract rational numbers. 1-1C I can multiply rational numbers. 1-1DI can divide rational numbers. 1-2BI can compare and order rational numbers. 1-2CI can solve problems using the percent proportion and equation. 1-3AI can apply percents to find discount, markup and sales tax. 1-3BI can solve problems involving simple interest. 1-3CI can solve problems involving compound interest. 1-3DI can find and use the percent of increase and decrease. 5-3AI can find square roots of perfect squares.<br />