mathematical processes spi 0706.1.1 i can generate ratios to solve problems involving velocity,...

MATHEMATICAL PROCESSESSPI 0706.1.1

I can generate ratios to solve problems involving velocity, density, pressure, and population density.

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.

Mathematical ProcessesSPI 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.

MATHEMATICAL PROCESSESSPI 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.

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.

NUMBER AND OPERATIONSSPI 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.


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.


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.


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


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.


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.

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.

ALGEBRASPI 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.

ALGEBRASPI 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.

ALGEBRASPI 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.

ALGEBRASPI 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.

ALGEBRASPI 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.

ALGEBRASPI 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.

ALGEBRASPI 0706.3.7


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.

ALGEBRASPI 0706.3.8


I can connect a linear equation to its table.

ALGEBRASPI 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

GEOMETRYSPI 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.


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.


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.

DATA ANALYSIS, STATISTICS, AND PROBABILITYSPI 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.


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.


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.


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.

mathematical processes spi 0706.1.1 i can generate ratios to solve problems involving velocity,...

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