# extend previous knowledge of sets and subsets using extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers.[7.2A] October 2014 Math Grade PAP 7th

add, subtract, multiply, and divide rational numbers fluently.[7.3A] October 2014 Math Grade PAP 7th apply and extend previous understandings of operations

to solve problems using addition, subtraction, multiplication, and division of rational numbers.[7.3B] October 2014 Math Grade PAP 7th represent constant rates of change in mathematical and real-world

problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt.[7.4A] October 2014 Math Grade PAP 7th calculate unit rates from rates in mathematical and

real-world problems.[7.4B] October 2014 Math Grade PAP 7th determine the constant of proportionality (k = y / x) within mathematical and real-world problems.[7.4C]

October 2014 Math Grade PAP 7th solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial

literacy problems.[7.4D] October 2014 Math Grade PAP 7th convert between measurement systems, including the use of proportions and the use of unit rates.[7.4E]

October 2014 Math Grade PAP 7th generalize the critical attributes of similarity, including ratios within and between similar shapes. [7.5A] October 2014

Math Grade PAP 7th describe as the ratio of the circumference of a circle to its diameter.[7.5B] October 2014 Math Grade PAP 7th

solve mathematical and real-world problems involving similar shape and scale drawings.[7.5C] October 2014 Math Grade PAP 7th

represent sample spaces for simple and compound events using lists and tree diagrams. [7.6A] October 2014 Math Grade PAP 7th select and use different

simulations to represent simple and compound events with and without technology. [7.6B] October 2014 Math Grade PAP 7th make predictions and determine solutions using

experimental data for simple and compound events.[7.6C] October 2014 Math Grade PAP 7th make predictions and determine solutions using theoretical probability for

simple and compound events. [7.6D] October 2014 Math Grade PAP 7th find the probabilities of a simple event and its complement and describe the relationship between

the two. [7.6E] October 2014 Math Grade PAP 7th use data from a random sample to make inferences about a population. [7.6F] October 2014

Math Grade PAP 7th use data from a random sample to make inferences about a population.[7.6F] October 2014 Math Grade PAP 7th

solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents.[7.6G] October 2014 Math Grade PAP 7th

solve problems using qualitative and quantitative predictions and comparisons from simple experiments. [7.6H] October 2014 Math Grade PAP 7th

determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces. [7.6I] October 2014 Math Grade PAP 7th

represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b.[7.7A] October 2014 Math Grade PAP 7th

model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas.[7.8A] October 2014 Math Grade PAP 7th

explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas.[7.8B] October 2014 Math Grade PAP 7th

use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas.[7.8C] October 2014 Math Grade PAP 7th

solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids.[7.9A] October 2014 Math Grade PAP 7th

determine the circumference and area of circles.[7.9B] October 2014 Math Grade PAP 7th determine the area of composite figures containing combinations

of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles.[7.9C] October 2014 Math Grade PAP 7th solve problems involving the lateral and total surface area of a

rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net.[7.9D] October 2014 Math Grade PAP 7th write one-variable, two-step equations and inequalities

to represent constraints or conditions within problems. [7.10A] October 2014 Math Grade PAP 7th represent solutions for onevariable, two-step equations and inequalities on number lines.[7.10B]

October 2014 Math Grade PAP 7th write a corresponding real-world problem given a one-variable, two-step equation or inequality. [7.10C]

October 2014 Math Grade PAP 7th model and solve onevariable, two-step equations and inequalities.[7.11A] October 2014 Math Grade PAP 7th

determine if the given value(s) make(s) onevariable, two-step equations and inequalities true.[7.11B] October 2014 Math Grade PAP 7th write and solve equations

using geometry concepts, including the sum of the angles in a triangle, and angle relationships.[7.11C] October 2014 Math Grade PAP 7th compare two groups of numeric data using

comparative dot plots or box plots by comparing their shapes, centers, and spreads. [7.12A] October 2014 Math Grade PAP 7th use data from a random sample to make inferences

about a population.[7.12B] October 2014 Math Grade PAP 7th compare two populations based on data in random samples from these populations, including informal comparative inferences

about differences between the two populations.[7.12C] October 2014 Math Grade PAP 7th calculate the sales tax for a given purchase and calculate income tax for earned wages. [7.13A]

October 2014 Math Grade PAP 7th identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what

percentage each category comprises of the total budget.[7.13B] October 2014 Math Grade PAP 7th create and organize a financial assets and liabilities record and construct a net worth

statement.[7.13C] October 2014 Math Grade PAP 7th use a family budget estimator to determine the minimum household budget and average hourly wage needed for a family to meet its basic needs in the student's city or

another large city nearby.[7.13D] October 2014 Math Grade PAP 7th calculate and compare simple interest and compound interest earnings.[7.13E]

October 2014 Math Grade PAP 7th analyze and compare monetary incentives, including sales, rebates, and coupons.[7.13F] October 2014

Math Grade PAP 7th extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers.[8.2A] October 2014

Math 8th Grade approximate the value of an irrational number, including and square roots of numbers less than 225, and locate that rational number approximation on a number line.[8.2B] October 2014

Math 8th Grade convert between standard decimal notation and scientific notation.[8.2C] October 2014 Math 8th Grade

order a set of real numbers arising from mathematical and real-world contexts. [8.2D] October 2014 Math 8th Grade

generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation.[8.3A] October 2014 Math 8th Grade compare and contrast the

attributes of a shape and its dilation(s) on a coordinate plane.[8.3B] October 2014 Math 8th Grade use an algebraic representation to explain the effect of a given

positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation. [8.3C] October 2014 Math 8th Grade use similar right triangles to develop

an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y - y) / (x - x), is the same for any two points (x, y) and (x, y) on the same line.[8.4A] October 2014 Math 8th Grade

graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship.[8.4B] October 2014 Math 8th Grade use data from a table or

graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems. [8.4C] October 2014 Math 8th Grade represent linear proportional

situations with tables, graphs, and equations in the form of y = kx.[8.5A] October 2014 Math 8th Grade represent linear nonproportional situations with tables, graphs, and

equations in the form of y = mx + b, where b 0.[8.5B] October 2014 Math 8th Grade contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a

linear relationship from a graphical representation.[8.5C] October 2014 Math 8th Grade use a trend line that approximates the linear relationship between bivariate sets of data to

make predictions.[8.5D] October 2014 Math 8th Grade solve problems involving direct variation.[8.5E] October 2014

Math 8th Grade distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b 0.[8.5F] October 2014

Math 8th Grade identify functions using sets of ordered pairs, tables, mappings, and graphs. [8.5G] October 2014 Math 8th Grade

identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems. [8.5H] October 2014 Math 8th Grade

write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.[8.5I] October 2014 Math 8th Grade

describe the volume formula V = Bh of a cylinder in terms of its base area and its height.[8.6A] October 2014 Math 8th Grade

model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas.[8.6B] October 2014 Math 8th Grade

use models and diagrams to explain the Pythagorean Theorem.[8.6C] October 2014 Math 8th Grade solve problems involving the volume of cylinders,

cones, and spheres.[8.7A] October 2014 Math 8th Grade use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine

solutions for problems involving rectangular prisms, triangular prisms, and cylinders.[8.7B] October 2014 Math 8th Grade use the Pythagorean Theorem and its converse to solve problems.[8.7C]

October 2014 Math 8th Grade determine the distance between two points on a coordinate plane using the Pythagorean Theorem. [8.7D]

October 2014 Math 8th Grade write one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants.[8.8A]

October 2014 Math 8th Grade write a corresponding real-world problem when given a onevariable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants.[8.8B] October 2014

Math 8th Grade model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants. [8.8C]

October 2014 Math 8th Grade use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity

of triangles.[8.8D] October 2014 Math 8th Grade identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b from the intersections of the graphed

equations.[8.9A] October 2014 Math 8th Grade generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a

coordinate plane.[8.10A] October 2014 Math 8th Grade differentiate between transformations that preserve congruence and those that do not.[8.10B]

October 2014 Math 8th Grade explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90, 180, 270, and 360 as applied to twodimensional shapes on a coordinate plane using an algebraic representation.[8.10C]

October 2014 Math 8th Grade model the effect on linear and area measurements of dilated two-dimensional shapes. [8.10D] October 2014

Math 8th Grade construct a scatterplot and describe the observed data to address questions of association such as linear, non-linear, and no association between bivariate data.[8.11A] October 2014

Math 8th Grade determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points.[8.11B] October 2014

Math 8th Grade simulate generating random samples of the same size from a population with known characteristics to develop the notion of a random sample being representative of the population from which it was selected.[8.11C]

October 2014 Math 8th Grade solve real-world problems comparing how interest rate and loan length affect the cost of credit.[8.12A] October 2014

Math 8th Grade calculate the total cost of repaying a loan, including credit cards and easy access loans, under various rates of interest and over different periods using an online calculator.[8.12B] October 2014

Math 8th Grade explain how small amounts of money invested regularly, including money saved for college and retirement, grow over time. [8.12C] October 2014

Math 8th Grade calculate and compare simple interest and compound interest earnings.[8.12D] October 2014