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No Match Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Standards PA Eligible Content 2.1. Numbers, Number Systems and Number Relationships 2.1.7.A. Model and compare values of integers, mixed numbers, fractions, and decimals. 2.1.7.B. Represent and use numbers in equivalent forms (e.g. integers, fractions, decimals, percents, exponents, powers, roots, absolute values). 2.1.7.C. Use ratio and proportion to model relationships between quantities. Comment CCSS CC includes analyzing proportional relationships and covers real word situations. CC.7.RP.1 Analyze proportional relationships and use them to solve real-world and mathematical problems. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour. CC.7.RP.2 Analyze proportional relationships and use them to solve real-world and mathematical problems. Recognize and represent proportional relationships between quantities. CC.7.RP.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. CC.7.RP.2c Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, M7.A.1.2.1 Compare and/or order integers, mixed numbers, fractions and decimals (fractions and decimals may be mixed – no more than 5 numbers in a set to be ordered). M7.A.1.2.2 Locate/identify decimals, fractions, mixed numbers and/or integers on a number line (a mix of these number forms may be on the same number line). M7.A.1.1.1 Convert between fractions, decimals and/or percents (e.g., 20% = 0.2 = 1/5) (terminating decimals only). M7.A.2.2.1 Write ratios to compare quantities (e.g., ratio of boys to girls). M7.A.2.2.5 Select and/or use ratios or proportions to solve problems. 1/31/2011 No Match PA Standards Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Eligible Content Comment CCSS the relationship between the total cost and the number of items can be expressed as t = pn. 2.1.7.D. Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, mixed numbers, and/or integers. 2.1.7.E. Apply concepts of prime and composite numbers to calculate GCFs (Greatest Common Factor) and LCMs (Least Common Multiple) of numbers. 2.1.7.F. Understand the concepts of ratio, proportion, percents, and rates to determine unknown quantities in equations. M7.A.2.2.2 Solve for a variable in a given proportion. M7.A.2.2.3 Use proportions to determine if two quantities are equivalent (e.g., similar figures, prices of different sized items, etc). M7.A.2.2.6 Use proportions to find the missing length of a side in similar figure. M7.A.2.2.4 Calculate and/or apply unit rates or unit prices (terminating decimals through the hundredth place only). CC uses more challenging examples to cover the standard, does not include similar figures and includes coordinate plane problems. CC.7.RP.1 Analyze proportional relationships and use them to solve real-world and mathematical problems. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour. CC.7.RP.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. CC.7.RP.2d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate. CC.7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. 1/31/2011 No Match Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Standards 2.2. Computation and Estimation PA Eligible Content Comment CCSS 2.2.7.B. Add, subtract, multiply, and divide whole numbers, decimals, fractions, mixed numbers, or integers. M7.A.3.2.1 Solve problems involving operations (+, -, x, ) of whole numbers, decimals, fractions, or mixed numbers (straight computation or word problems) M7.A.3.2.2 Solve problems involving addition and subtraction of integers. CC focuses on rational numbers, their operations and using in real world situations. CC.7.NS.1 Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. CC.7.NS.1a Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. CC.7.NS.1b Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. CC.7.NS.1c Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. CC.7.NS.1d Apply properties of operations as strategies to add and subtract rational numbers. CC.7.NS.2 Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. CC.7.NS.2a Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading 1/31/2011 No Match PA Standards Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Eligible Content Comment CCSS to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts. CC.7.NS.2b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts. CC.7.NS.2c Apply properties of operations as strategies to multiply and divide rational numbers. CC.7.NS.2d Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats. CC.7.NS.3 Solve real-world and mathematical problems involving the 4 operations with rational numbers. 2.2.7.C. Use the order of operations to evaluate numerical expressions. M7.A.2.1.1 Use the order of operations to simplify numerical expressions (may use parentheses, brackets, +, -, x, , squares up to 102 and cubes up to 43; whole numbers only). 2.2.7.D. Estimate solutions of problems involving calculations with basic operations of whole numbers, decimals, fractions, or mixed numbers and check the reasonableness of those estimates. M7.A.3.1.1 Estimate answers to problems involving whole numbers, decimals, fractions or mixed numbers. 2.3. Measurement and Estimation 2.3.7.A. Demonstrate an understanding of measurable attributes and the units, systems, and processes of measurement. 2.3.7.B. Develop strategies for and use appropriate units to determine lengths, M7.B.2.1.1 Develop and/or use strategies to find the perimeter and/or area of compound CC includes surface area & volume. Also, CC.7.G.6 Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. 1/31/2011 No Match Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Standards PA Eligible Content Comment CCSS areas, and perimeters of compound shapes. figures (compound figures should only include quadrilaterals and triangles). Area formulas provided on the reference sheet. Solve real-world and mathematical problems involving area, volume and surface area of two- and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. 2.3.7.C. Use measurement formulas to calculate volume, area, and perimeter and to calculate circumference and area of circles. M7.B.2.1.1 Develop and/or use strategies to find the perimeter and/or area of compound figures (compound figures should only include quadrilaterals and triangles). Area formulas provided on the reference sheet. M7.B.2.1.2 Find the circumference and/or area of circles (formulas provided on the reference sheet). compound shapes include more shapes than just quadrilaterals & triangles. CC includes surface area, volume and real life problems. CC has reproducing a scale drawing at a different scale and calculating area. CC.7.G.1 Draw, construct, and describe geometrical figures and describe the relationships between them. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas M7.B.2.1.3 Find the area of triangles and/or all types of parallelograms (formulas provided on the reference sheet). 2.3.7.D. Use conversions to add and subtract measurement quantities within the metric and within the customary systems. M7.B.1.1.1 Add, subtract, or convert measurements, using only the units below, with and without regrouping (e.g., 4ft – 2ft 5in = 1ft 7in). Answer should be converted to the largest whole unit (e.g., 37oz = 2 Lb 5oz or 39 in = 1 yd 3 in. Conversion chart provided on the reference sheet. in, ft, yd fl oz, cup, pint, quart, gallon oz, Lb sec, min, hours, days metric units including milli, centi and kilo (m, g or L) 2.3.7.E. Select and/or use an appropriate scale for creating enlarged or reduced representations. M7.B.2.2.1 Interpret and/or apply scales shown on maps, blueprints, models, etc. M7.B.2.2.2 Determine and/or apply an CC.7.G.4 Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. CC.7.G.6 Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Solve real-world and mathematical problems involving area, volume and surface area of two- and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. 1/31/2011 Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary No Match PA Standards PA Eligible Content Comment appropriate scale for reduction or enlargement. CCSS from a scale drawing and reproducing a scale drawing at a different scale. 2.3.7.F. Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles. 2.4. Mathematical Reasoning and Connections 2.4.7.A. Draw logical conclusions and justify reasoning for conclusions within mathematical contexts. CC goes beyond what PA describes in their standard. CC: Mathematical Practice Standards 2.4.7.B. Evaluate the truth of conditional relationships expressed as if…then statements. CC goes beyond what PA describes in their standard. CC: Mathematical Practice Standards 2.5.7.A. Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, apply estimation skills as appropriate, check whether the plan makes sense, and explain how the problem was solved in grade appropriate contexts. CC goes beyond what PA describes in their standard. CC: Mathematical Practice Standards 2.5.7.B. Use appropriate mathematical language, notation, and representations, including numerical tables, expressions, and equations; including formulas, charts, graphs, and diagrams to explain and interpret results. CC goes beyond what PA describes in their standard. CC: Mathematical Practice Standards 2.5. Mathematical Problem Solving and Communication 1/31/2011 No Match PA Standards 2.6. Statistics and Data Analysis Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Eligible Content 2.6.7.A. Identify different ways of selecting a sample and choosing an appropriate sampling technique for a given situation. 2.6.7.B. Organize and display data using an appropriate data display, such as circle graphs, histograms, line graphs, double bar graphs, and stem-and-leaf plots, Venn diagrams, tables, and charts. 2.6.7.C. Use numerical summaries to describe different sets of data. M7.E.1.1.1 Analyze data and/or answer questions pertaining to data represented in histograms, double bar graphs, multiple line graphs or stem-and-leaf plots. 2.6.7.D. Use measures of central tendency and spread to compare data sets. M7.E.2.1.1 Identify/calculate the mean (average), median, mode or range of a set of data. M7.E.2.1.2 Decide/choose which measure of Comment CCSS CC goes into much more detail regarding the random sample and how to use the data. CC.7.SP.1 Use random sampling to draw inferences about a population. Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. CC.7.SP.2 Use random sampling to draw inferences about a population. Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be. CC uses measures of center and variability with random samples to draw informal CC.7.SP.3 Draw informal comparative inferences about two populations. Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the M7.E.1.1.1 Analyze data and/or answer questions pertaining to data represented in histograms, double bar graphs, multiple line graphs or stem-and-leaf plots. 1/31/2011 No Match PA Standards 2.6.7.E. Interpret trends and make predictions based on data displayed in a graph. Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Eligible Content Comment CCSS central tendency (mean, median, mode or range) would be most appropriate for a given situation. comparative inferences about 2 populations. Different types of problem examples in CC. centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable. CC.7.SP.4 Draw informal comparative inferences about two populations. Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book. CC includes collecting data and observing its long run relative frequency. CC.7.SP.6 Investigate chance processes and develop, use, and evaluate probability models. Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its longrun relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times. M7.E.4.1.1 Formulate predictions and/or draw conclusions based on data displays (bar graphs, circle graphs or line graphs) or probability 2.7. Probability and Predictions 2.7.7.A. Predict the outcome of a gradelevel appropriate probability experiment. M7.E.4.1.1 Formulate predictions and/or draw conclusions based on data displays (bar graphs, circle graphs or line graphs) or probability 2.7.7.B. Organize data collected in an experiment and select an appropriate format to display the data. 1/31/2011 No Match Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Standards PA Eligible Content Comment CCSS 2.7.7.C. Express the probability of a compound or complimentary event as a fraction, decimal, or percent. M7.E.3.1.1 Find the theoretical probability of a simple and/or compound event (answer written as a fraction in lowest terms – any compound events should be independent) M7.E.3.1.2 Find the theoretical probability of an event not occurring (e.g., what is the probability of not rolling a 1 on a number cube) PA specifies that the result can be expressed as a fraction, decimal or percent. CC.7.SP.8 Investigate chance processes and develop, use, and evaluate probability models. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. CC.7.SP.8a Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. 2.7.7.D. List the possible outcomes for two or more independent events and compare the outcomes. 2.7.7.E. Find and interpret the experimental or theoretical probability of an outcome of a simple event. M7.E.3.1.3 Use data displayed in charts, graphs or tallies to find experimental probability CC mentions an understanding of probability being between 0 and 1. M7.D.2.1.1 Select and/or use appropriate strategies to solve one-step equations (no negative numbers). M7.D.2.1.2 Use substitution of one and/or CC does not include simplify algebraic expressions. CC examples focus more CC.7.SP.8b Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event. CC.7.SP.5 Investigate chance processes and develop, use, and evaluate probability models. Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event. 2.8. Algebra and Functions 2.8.7.A. Use the concept of equality to demonstrate understanding of properties applied to rational numbers (e.g. identity, distributive, associative, commutative). 2.8.7.B. Evaluate and simplify algebraic expressions and solve and graph linear equations and inequalities. CC.7.EE.4a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an 1/31/2011 No Match PA Standards 2.8.7.C. Recognize, describe, extend, create, replicate, form a rule, and/or find a missing element for a variety of rational number patterns, sequences, and relationships verbally, numerically, symbolically, and graphically. Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Eligible Content Comment CCSS two variables to simplify expressions (whole numbers only – use order of operations). on real life situations. arithmetic solution, identifying the sequence of the operations used in each approach. For example, The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? CC.7.EE.4b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example, As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions. CC includes graphing the solution set for inequalities. Focus on 2-step equations and inequalities. CC.7.EE.4 Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. CC.7.EE.4a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, The M7.D.1.1.1 Describe, extend or find a missing element of a pattern (show 3 repetitions of the pattern) fractions or decimals - may use only one operation from +, - or x whole numbers – may use only one operation from +, -, x, or squares 2.8.7.D. Determine a functional rule from given data or a situation. 2.8.7.E. Use combinations of symbols and numbers to create expressions, equations, and inequalities in one variable that model problem situations. M7.D.2.2.1 Identify expressions, equations or inequalities that model mathematical situations (using whole numbers or decimals, no more than two operations and one variable). 1/31/2011 No Match PA Standards Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Eligible Content 2.8.7.F. Interpret the results of solving equations and inequalities in one variable in the context of the situation that motivated the model. Comment CC only includes interpreting results in inequality problems. CCSS perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? CC.7.EE.4b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example, As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions. CC.7.EE.4b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example, As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions. 2.9. Geometry 2.9.7.A. Identify, define, label, and/or describe properties of 1-, 2-, and 3dimensional shapes and their related parts, and classify and compare 2- and 3dimensional shapes on the basis of their properties. M7.C.1.1.1 Identify, describe and/or define diameter, radius, chord and/or circumference in circles. M7.C.1.1.2 Solve problems involving the relationship between the radius and diameter of the same circle. M7.C.1.1.3 Identify parallel, perpendicular and/or skew line segments within threedimensional figures. M7.C.1.2.1 Identify and/or use polygons that are similar and/or congruent, given either measurements or tic and angle marks. M7.C.1.2.2 Identify corresponding sides and/or angles of congruent or similar polygons. 1/31/2011 No Match PA Standards Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Eligible Content Comment CCSS CC does not include Pythagorean Theorem and right triangle relationships CC.7.G.1 Draw, construct, and describe geometrical figures and describe the relationships between them. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. 2.9.7.B. Predict and describe the result of a translation (slide), rotation (turn), and/or reflection (flip) of a 2-dimensional shape. 2.9.7.C. Identify on a 2- dimensional coordinate system the location of points with rational number coordinates; plot in a two dimensional coordinate system a point represented by an ordered pair of rational numbers. M7.C.3.1.1 Plot and/or identify ordered pairs on a coordinate plane (all four quadrants). M7.C.3.1.2 Identify Quadrants I, II, III, IV, the x- & y-axes and the origin on a coordinate plane. 2.10. Trigonometry 2.10.7.A. Compute measures of sides and angles using proportions, the Pythagorean Theorem, and right triangle relationships. 2.11. Concepts of Calculus 2.11.7.A. Compare and order rational numbers; identify the maximum and/or minimum values of a set of numbers. 2.11.7.B. Describe and use the relationship of data shown in a graph; solve problems involving a constant rate of change. M7.D.3.1.1 Solve problems involving a constant rate of change (e.g., word problems, graphs or data tables). M7.D.3.1.2 Describe and/or use the relationship of data displayed on a rate of change graph (e.g., how does the x-axis data relate to the y-axis data). 1/31/2011 No Match PA Standards Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Eligible Content Comment CCSS CC.7.SP.7 Investigate chance processes and develop, use, and evaluate probability models. Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. CC.7.SP.7a Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected. CC.7.SP.7b Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies? CC.7.EE.1 Use properties of operations to generate equivalent expressions. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. CC.7.EE.2 Use properties of operations to generate equivalent expressions. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.” CC.7.EE.3 Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of 1/31/2011 No Match PA Standards Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary PA Eligible Content Comment CCSS operations as strategies to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation. CC.7.G.2 Draw, construct, and describe geometrical figures and describe the relationships between them. Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. CC.7.G.3 Draw, construct, and describe geometrical figures and describe the relationships between them. Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. CC.7.G.5 Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. CC.7.SP.8c Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool to approximate the answer to the question: If 40%of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood. 1/31/2011 No Match Grade 7 - PA Standards & EC to CCSS Match Adjustments Necessary 1/31/2011