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MATHEMATICAL PROCESSES SPI 0706.1.1 I can generate ratios to solve problems involving velocity, density, pressure, and population density.
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MATHEMATICAL PROCESSES SPI 0706.1.2 I can find recognize the y-intercept. I can identify the rate of change from a graph. I can recognize the rate of change as the slope of the line. I can predict how the rate of change will affect the outcome of a situation. I can write algebraic equations. I can create models of algebraic equations using algeblocks.
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Mathematical Processes SPI 0706.1.3 I can define inversely proportional. I can recognize when the relationship between two quantities is inversely proportional. I can define directly proportional. I can recognize f(x) notation. I can evaluate a table for direct proportionality by checking that the x and y are both 0. I can evaluate a linear equation for direct proportionality by looking for a constant in the equation. I can evaluate a graph for direct proportionality by checking that the line passes through the origin.
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MATHEMATICAL PROCESSES SPI 0706.1.4 I can explain and demonstrate how scale in maps and drawings shows relative size and distance. I can recognize and compute scale factor on a blueprint, shadow picture, or scale model. I can apply scale factor computed from a blueprint, shadow picture, or scale model to another situation.
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MATHEMATICAL PROCESSES I can recognize my answer as a reasonable answer. I can relate stories and books to mathematical ideas and concepts. I can write numbers in scientific notation. I can translate numbers written in scientific notation to standard notation.
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NUMBER AND OPERATIONS SPI 0706.2.1 I can recognize rational numbers as any number that can be written as a ratio, as long as the denominator is not zero. I can recognize integers. I can add and subtract integers. I can multiply and divide integers. I can add and subtract rational numbers. I can multiply and divide rational numbers. I can identify the commutative, associative, and distributive properties. I can apply the commutative, associative, and distributive properties to integers. I can apply the commutative, associative, and distributive properties to rational numbers. I can recognize gcf, gcd, and lcm. I can evaluate rounded numbers and interpret when incorrectly rounded numbers affect the reasonableness of a solution.
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NUMBER AND OPERATIONS SPI 0706.2.2 I can recognize a number and its opposite. I can verbalize that the sum of a number and its opposite is always zero. I can identify a number and its opposite as being the same distance from zero on the number line. I can relate distance from zero on the number line to absolute value. 0706.2.9 Efficiently compare and order rational numbers and roots of perfect squares/cubes; determine their approximate locations on a number line. I can organize rational numbers in numerical order. I can locate rational numbers on a number line. I can organize roots of perfect squares and cubes in numerical order. I can locate roots of perfect squares and cubes on a number line.
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NUMBER AND OPERATIONS SPI 0706.2.3 I can recognize integers. I can add and subtract integers. I can multiply and divide integers. I can add and subtract rational numbers. I can multiply and divide rational numbers. I can identify the commutative, associative, and distributive properties. I can apply the commutative, associative, and distributive properties to integers. I can apply the commutative, associative, and distributive properties to rational numbers. 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 the memorization of the first 12 perfect squares or by the use of a calculator for larger perfect squares or imperfect squares. I can recognize the square root of a number as being equal to the product of the square root of its factors. I can recognize the squaring of a square root as the number itself.
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NUMBER AND OPERATIONS SPI 0706.2.4 I can organize rational numbers in numerical order. I can locate rational numbers on a number line. I can organize roots of perfect squares and cubes in numerical order. I can locate roots of perfect squares and cubes on a number line. I can identify imperfect squares. I can categorize the square root of an imperfect square as an irrational number
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NUMBER AND OPERATIONS SPI 0706.2.5 I can recognize integers. I can add and subtract integers. I can multiply and divide integers. I can add and subtract rational numbers. I can multiply and divide rational numbers. I can conclude that the opposite of a negative number is positive. I can implement a number line to explain addition and subtraction with integers.
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NUMBER AND OPERATIONS SPI 0706.2.6 I can compose an expression to solve real world problems involving ratio and percent. I can demonstrate how to use ratios, rates, proportions, and percents.
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NUMBER AND OPERATIONS SPI 0706.2.7 I can compose an expression to solve real world problems involving ratio and percent. I can demonstrate how to use ratios, rates, proportions, and percents.
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NUMBER AND OPERATIONS I can represent small numbers by using negative exponents. I can write numbers in scientific notation. I can translate numbers written in scientific notation to standard notation. I can determine when to use scientific notation to represent especially large numbers. I can distinguish between times when it is appropriate to round and times when it isn’t appropriate.
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ALGEBRA SPI 0706.3.1 I can implement the order of operations on linear equations when necessary. I can choose a variable to represent an unknown. I can apply operations and variables to solve contextual problems.
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ALGEBRA SPI 0706.3.2 I can recognize a function from a written description. I can recognize a function from a table. I can recognize a function from a graph. I can recognize a function from a rule. I can recognize a function from a set of ordered pairs. I can recognize a function from a mapping diagram.
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ALGEBRA SPI 0706.3.3 I can make a function table for any linear equation or function rule and evaluate it for any rational numbers. I can plot points on the Cartesian coordinate system to represent a function table. I can relate points on a line to the equation or function table representing the line.
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ALGEBRA SPI 0706.3.4 I can express slope as a ratio of rise over run. I can identify a straight line as a linear function. I can find the slope of a line. I can express slope as a unit rate. I can recognize that the slope of a linear function is constant along the line. I can identify that m represents slope and b represents the y- intercept in a linear equation. I can verbalize the meaning of the slope in a contextual situation. I can find the y-intercept on a line graphed on the coordinate plane. I can find the slope of a line graphed on the coordinate plane. I can write a linear function in the form y=mx + b when given a line graphed on the coordinate plane.
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ALGEBRA SPI 0706.3.5 I can identify the equation of a directly proportional relationship. I can identify the graph of a directly proportional relationship as a straight line that passes through the origin. I can identify the table of a directly proportional relationship. I can differentiate directly proportional relationships from other relationships. I can demonstrate how to find a unit rate. I can find unit rate in a real world situation.
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ALGEBRA SPI 0706.3.6 I can connect a linear equation to its graph on the coordinate plane. I can connect a linear equation to its table.
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ALGEBRA SPI 0706.3.7 I can connect a linear equation to its graph on the coordinate plane. I can connect a linear equation to its table. I can identify that m represents slope and b represents the y-intercept in a linear equation. I can verbalize the meaning of the slope in a contextual situation.
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ALGEBRA SPI 0706.3.8 I can connect a linear equation to its graph on the coordinate plane. I can connect a linear equation to its table.
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ALGEBRA SPI 0706.3.9 I can demonstrate my understanding by following the correct procedure for solving inequalities. I can execute the correct procedure when an inequality requires multiplication or division by a negative number. I can verbalize the necessity of a sign reversal. 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
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GEOMETRY SPI 0706.4.1 I can write and solve a proportion in order to find the missing side of a triangle when given the measurements of a similar triangle. I can relate similar triangles to real world situations like finding the height of a flagpole using shadows.
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GEOMETRY SPI 0706.4.2 I can set up ratios comparing side lengths of triangles to prove proportionality. I can apply Side-Side-Side to determine if two triangles are similar. I can apply Angle-Angle to determine if two triangles are similar. I can identify the included angle between two sides of a triangle. I can apply Side-Angle-Side to determine if two triangles are similar.
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GEOMETRY SPI 0706.4.3 I can increase the side lengths of an object by a given scale factor. I can compute the area or volume of an object that was enlarged by a given scale factor. I can prove that the scale factor by which the object’s side lengths were enlarged will be squared when comparing the area of the new object to the original object. I can prove that the scale factor by which the object’s side lengths were enlarged will be cubed when comparing the volume of the new object to the original object. I can write ratios comparing angles, side lengths, perimeters, and areas of similar shapes.
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DATA ANALYSIS, STATISTICS, AND PROBABILITY SPI 0706.5.1 I can produce a box-and-whisker plot when given a set of data. I can interpret a box-and-whisker plot and identify relevant information when given a plot. I can produce a stem-and-leaf plot when given a set of data. I can interpret a stem-an-leaf plot and identify relevant information when given a plot. I can evaluate data and predict the characteristics of two populations based on my evaluation. I can evaluate data and compare the characteristics of two populations based on my evaluation. I can predict results of an experiment by writing and solving a proportion. I can check for flaws in an experiment.
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DATA ANALYSIS, STATISTICS, AND PROBABILITY SPI 0706.5.2 I can solve problems from information given in graphs. I can interpret information presented in graphs. I can use the percent proportion to interpret circle graphs. I can use the percent proportion to interpret histograms.
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DATA ANALYSIS, STATISTICS, AND PROBABILITY SPI 0706.5.3 I can calculate the mean when given a set of data. I can calculate the median when given a set of data. I can calculate the upper quartile when given a set of data. I can calculate the lower quartile when given a set of data. I can calculate the interquartile range when given a set of data. I can identify the median, upper quartile, lower quartile, and interquartile range when give a box-and-whisker plot.
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DATA ANALYSIS, STATISTICS, AND PROBABILITY SPI 0706.5.4 I can find theoretical probability of a simple event. I can write and solve a proportion to make a prediction based on the theoretical probability of a simple event.
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