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Mathematical Processes GLE 0806.1.2

Mathematical Processes GLE 0806.1.2 . I can identify the operations needed to solve a real-world problem. I can write an equation to solve a real-world multi-step problem. I can execute the order of operations needed to solve a real-world problem.

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Mathematical Processes GLE 0806.1.2

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  1. Mathematical ProcessesGLE 0806.1.2 I can identify the operations needed to solve a real-world problem. I can write an equation to solve a real-world multi-step problem. I can execute the order of operations needed to solve a real-world problem. I can recognize a reasonable answer to a real-world problem.

  2. Mathematical ProcessesGLE 0806.1.5 SPI 0806.1.2 • Recognize the formulas for area and volume as nonlinear. • Identify the use of exponents as a determining factor of nonlinear equations. • I can interpret and create a graph from a given equation. • I can identify the graph as nonlinear or linear. • I can create an equation from a given graph. • I can model the given equation using algebraic aerobics to represent the graph of the equation.

  3. Mathematical ProcessesGLE 0806.1.7 • I can relate the importance of Pythagoras to the development of mathematics. • I can use scientific notation to organize extremely large or extremely small pieces of data. • 0806.1.5 Use age-appropriate books, stories, and videos to convey ideas of mathematics. • I can relate stories and books to mathematical ideas and concepts.

  4. Mathematical ProcessesGLE 0806.1.8SPI 0806.1.1SPI 0806.1.3 • I can create foldables to organize data relating to angles, their relationships, and their measurements. • I can recognize visual representations of angles as well as contextual. • I can compare and contrast angles and their measurements. • I can recognize relationships between two or more types of data. • I can plot the coordinates of two sets of data on the same plane to create a scatterplot. • I can approximate the best line of fit for a given scatterplot. • I can recognize that the best line of fit separates my data into equal parts. • I can identify the operations needed to solve a real-world problem. • I can write an equation to solve a real-world multi-step problem. • I can execute the order of operations needed to solve a real-world problem. • I can recognize a reasonable answer to a real-world problem

  5. Number and OperationsGLE 0806.2.1SPI 0806.2.1SPI 0806.2.2 • I can generate the answer for squaring numbers. • I can verbalize the meaning of squaring a number. • I can evaluate the square root of a number by either memorization of the first 12 perfect squares or by the use a calculator for larger perfect squares or imperfect squares. • I can draw a Venn diagram to display the real number system. • I can recognize the correct category or categories that describe my real number. • I can categorize real numbers into the correct subset. • I can recognize that real numbers may belong to more than one subset. • I can recognize that subsets overlap one another.

  6. Number and OperationsGLE 0806.2.2 SPI 0806.2.3 SPI 0806.2.4 • I can transform a number from standard form into scientific notation. • I can evaluate a number that is in exponential and scientific notation. • I can verbalize the importance of being able to represent the same number in various forms. • 0806.2.7 Add, subtract, multiply, and divide numbers expressed scientific notation. • I can perform basic addition, subtraction, multiplication and division of numbers expressed in scientific notation.

  7. Number and OperationsGLE 0806.2.3 • I can solve a real-world problem containing rational and irrational numbers. • I can understand and apply that real-world problems involve powers and roots.

  8. Number and OperationsGLE 0806.2.4 • I can simplify problems involving products of powers with the same base. • I can simplify problems involving division of powers with the same base. • I can simplify problems involving raising a power to a power. • I can verbalize and compare the difference in the laws of exponents.

  9. AlgebraGLE 0806.3.1 • I can identify the operations needed to solve a problem. • I can execute the order of operations needed to solve a real-world problem.

  10. AlgebraGLE 0806.3.2SPI 0806.3.2SPI 0806.3.3 • I can write and solve an equation or inequality for the given situation. • I can represent the solution of an equation or inequality on a number line. • I can graph the solution set of an inequality on a number line. • I can explain why the solution set is a region on the number line as compared to a point on the number line. • I can verbalize the inequality symbol and identify possible values of the solution set. • I can evaluate a linear inequality containing two variables. • I can demonstrate my understanding by following the correct procedure to solve inequalities. • I can execute the correct procedure when an inequality requires multiplication or division by a negative number. • I can verbalize the necessity of the sign reversal. • I can choose a variable to represent an unknown. • I can apply operations and variables to solve contextual problems.

  11. AlgebraGLE 0806.3.3SPI 0806.3.1 • I can identify the slope and y-intercept of the line to generate the number of solutions to a system. • I can recognize that systems with the same slope and different y-intercept will have no solutions. • I can recognize that systems with the same slope and the same y-intercept will have infinitely many solutions. • I can recognize that systems with different slopes and different y-intercepts will only intersect one time and therefore have one solution. • I can use elimination, substitution, or graphing to solve my systems.

  12. AlgebraGLE 0806.3.4SPI 0806.3.4SPI 0806.3.6 • I can identify the x and y intercepts of a line graphed on the coordinate plane. • I can identify the x and y intercepts from an equation. • I can identify the x and y intercepts from a table. • I can recognize the slope of a line from an equation. • I can measure the slope of a line graphed on a coordinate grid. • I can evaluate x and y values from a table vertically to find the slope of a line. • I can use the slope formula to find the slope of the line. • I can evaluate a given function rule into a table of values. • I can recognize and identify the x values as input, domain, and independent variables. • I can recognize and identify the y values as output, range, and dependent variables. • I can identify the pattern in a table to represent a linear function. • I can identify the pattern in a table to represent a nonlinear function. • I can plot the points of a table. • I can self-check that the points on my line formed the linear or nonlinear function that was predicted.

  13. AlgebraGLE 0806.3.5.SPI 0806.3.5 • I can identify the slope and y-intercept of the line to generate the number of solutions to a system. • I can recognize that systems with the same slope and different y-intercept will have no solutions. • I can recognize that systems with the same slope and the same y-intercept will have infinitely many solutions. • I can recognize that systems with different slopes and different y-intercepts will only intersect one time and therefore have one solution. I can recognize the slope of a line from an equation. • I can measure the slope of a line graphed on a coordinate grid. • I can evaluate x and y values from a table vertically to find the slope of a line. • I can use the slope formula to find the slope of the line. • 0806.3.7 Analyze situations and solve problems involving constant rate of change. • I can recognize and apply the constant rate of change in a contextual problem.

  14. AlgebraGLE 0806.3.6SPI 0806.3.7 • I can conclude that a graph is nonlinear by examining the graph on a coordinate plane. • I can evaluate a table of values and recognize the pattern that is an indicator of a nonlinear function. • I can recognize exponents as one of the indicators of quadratic functions. • I can use the coefficient of x to determine my slope. • I can identify that a constant rate of change is linear. • I can identify that a variable rate of change is nonlinear. • I can differentiate between constant and variable rates of change and how they apply to linear and nonlinear functions.

  15. Geometry and Measurement. GLE 0806.4.1SPI 0806.4.1SPI 0806.4.2 • I can model the Pythagorean Theorem by using graph paper and drawing perfect squares from each leg of the triangle. • I can prove on graph paper that the sum of the legs squared equal the hypotenuse squared. • I can create a foldable designed to demonstrate the process used to find missing sides of a right triangle. • I can use the converse of the Pythagorean Theorem to prove that a triangle is right.

  16. Geometry and Measurement. GLE 0806.4.2 SPI 0806.4.3 • I can create foldables to organize data relating to angles, their relationships, and their measurements. • I can recognize visual representations of angles as well as contextual. • I can compare and contrast angles and their measurements • I can find missing measurements of angles formed by two parallel lines cut by the transversal.

  17. Geometry and Measurement. GLE 0806.4.3 • I can determine the appropriate measurement instrument needed to solve a given problem. • I can recognize the appropriate label for a given situation. • I can determine which level of precision of measurement is the best representation of a given situation. • 0806.4.4 Understand how the precision of measurement influences accuracy of quantities derived from these measurements. • I can understand and relate how relative the precision of measurement is to a given problem.

  18. Geometry and Measurement. GLE 0806.4.4SPI 0806.4.4 • I can convert a unit of measurement when given a formula. (e.g. Celsius to Fahrenheit) • I can convert between systems fluently. (e.g. inches to feet) • I can use dimensional analysis to convert measurements. (eg. Miles per hour to miles per minute)

  19. Geometry and Measurement. GLE 0806.4.5SPI 0806.4.5 • I can identify the cross-section that results from an intersection of a plane and a 3 dimensional figure. • I can identify the cross-section as being the base of the 3-dimensional figure when the slice is parallel to the base. • I can draw 2 and 3 dimensional figures. • I can visualize the different views of the 2 and 3 dimensional figures. • I can draw a net from the given 3-dimensional figure. • I can draw a 3-dimensional figure from a given net.

  20. Data Analysis, Statistics, and ProbabilityGLE 0806.5.1 events.SPI 0806.5.1 SPI 0806.5.2 • I can find the probability of a given simple event. • I can relate the probability of a given simple event in the form of a fraction, decimal, or percent. • I can find the probability of a compound event. • I can recognize that the word and means to multiply when probability is involved. • I can differentiate between dependent and independent events. • I can differentiate between experimental and theoretical probability.

  21. Data Analysis, Statistics, and ProbabilityGLE 0806.5.2SPI 0806.5.3 • I can create various types of graphs from given data. • I can determine which type of graph gives the most favorable view of the data. • I can determine which type of graph gives the most accurate view of the data. • I can create box and whisker plots and scatterplots from sets of data. • I can interpret results from these graphs. • I can predict future results from studying the graph of present data. • I can make conjectures about the population that was polled for the data. • I can divide my data to estimate a best line of fit. • I can use this line to predict future results from this data.

  22. Data Analysis, Statistics, and ProbabilityGLE 0806.5.3.SPI 0806.5.4 • I can differentiate between dependent and independent events. • I can recognize when data has been gathered from a biased group. • I can create a data driven graph. • I can analyze a given graph. • I can report my findings for a given graph. • I can differentiate between appropriate graphs and displays and misleading graphs and displays.

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