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Seventh Grade Common Core Content that is New to Seventh Grade Content that is still included in Seventh Grade but may be modified at a greater depth Content that is no longer a focus at Seventh Grade 2.1 Numbers and Operations 2.1.7.D Ratios and Proportional Relationships 2.1.7.D.1 Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships o M07.A-R.1.1.3 o 7.RP.2b Explain what a point (x,y) on a 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 o M07.A-R.1.1.5 o 7.RP.2d Use proportional relationships to solve multistep ratio and percent problems (examples: simple interest, tax, markups and markdowns, gratuities, and commissions, fees, percent increase and percent decrease) o M07.A-R.1.1.6 o 7.RP.3 2.1 Numbers and Operations 2.1.7.D Ratios and Proportional Relationships 2.1.7.D.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units o M07.A-R.1.1.1 o 7.RP.1 Determine whether two quantities are proportionally related (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) o M07.A-R.1.1.2 o 7.RP.2A Represent proportional relationships by equations o M07.A-R.1.1.4 o 7.RP.2c M7. A Numbers and Operations Compare and/or order integers, mixed numbers, fractions and decimals o M7.A.1.2.1 o No longer covered in any grade level Locate/identify decimals fraction, mixed numbers and/or integers on a number line o M7.A.1.2.2 o Moved to 6th M06.A.N.3.1.3 6.NS.6c Use the order of operations to simplify numerical expressions o M7.A.2.1.1 o Moved to 5th M05.B-O.1.7.1 5.OA.1 Write ratios to compare quantities o M7.A.2.2.1 o Moved to 6th M06.A-R.1.1.1 Use proportions to find the missing length of a side in similar figures o M7.A.2.2.6 o No longer covered in any grade level Estimate answers to problems involving whole numbers, decimals, fractions or mixed numbers o M7.A.3.1.1 o No longer covered in any grade level Seventh Grade Common Core Content that is New to Seventh Grade Content that is still included in Seventh Grade but may be modified at a greater depth 2.1 Numbers and Operations 2.1.7.E The Number System 2.1 Numbers and Operations 2.1.7.E The Number System 2.1.7.E.1 Represent addition and subtraction on a horizontal or vertical number line o M07.A-N.1.1.2 2.1.7.E.1 Apply properties of operations to add and subtract rational numbers, including real-world contexts o Describe situations in which opposites quantities combine to make M07.A-N.1.1.1 7.NS.1a 7.NS.3 o Understand p+q as the number located a distance is from p, in the positive or negative. Show that a number and its opposite have a sum of zero (are additive inverse). Interpret sums of rational numbers by describing real-world contexts M07.A-N.1.1.1 7.NS.1b 7.NS.3 o Understanding 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 M07.A-N1.1.1 7.NS.1c 7.NS.3 o Apply properties of operations as strategies to add and subtract rational numbers M07.A-N.1.1.1 7.NS.1d 7.NS.3 Content that is no longer a focus at Seventh Grade Seventh Grade Common Core Apply properties of operations to multiply and divide rational numbers, including real world contexts; demonstrate that the decimal form of a rational number terminates or eventually repeats o 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 to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real world contexts M07.A-N.1.1.3 7.NS.2a 7.NS.3 o 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 M07.A-N.1.1.3 7.NS.2b 7.NS.3 o Apply properties of operations as strategies to multiply and divide rational numbers M07.A-N.1.1.3 7.NS.2c 7.NS.3 o 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 M07.A-N.1.1.3 7.NS.2d Seventh Grade Common Core 7.NS.3 Content that is New to Seventh Grade Content that is still included in Seventh Grade but may be modified at a greater depth Content that is no longer a focus at Seventh Grade 2.2 Algebraic Concepts 2.2.7.B Expressions and Equation 2.2 Algebraic Concepts 2.2.7.B Expressions and Equations 2.2.7.B.3 Solve multi-step real life problems and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions or decimals) using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms where appropriate; and assess the reasonableness of an answer using mental computation and estimation strategies o M07.B-E.2.3.1 o 7.EE.3 M7.D Algebraic Concepts 2.2.7.B.1 Apply properties of operations to add, subtract, factor and expand linear expressions with rational coefficients o M07.B-E.1.1.1 o 7.E.E.1 Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate o M07.B-E.1.1.1 o 7.E.E.2 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 o M07.B-E.2.2.1 o 7.EE.4a Solve world problems leading to inequalities of the form px + q > r or px + q < r, where p,q and r are specific rational numbers, and graph the solution set of the inequality o M07.B-E.2.2.1 o 7.EE.4b Describe, extend or find a missing element of a pattern (show 3 repetition of the pattern) o M7.D.1.1.1 o Moved to 5th M05.B-O.2.1.1 5.OA.3 Use substitution of one and/or two variables to simplify expressions o M7.D.2.1.2 o Moved to 6th M06.B-E.2.2.1 Identify expressions, equations or inequalities that model mathematical situations o M7.D.2.2.1 o Moved to 6th M06.B-E.2.1.2 6.EE.6 Solve problems involving a constant rate of change o M7.D.3.1.1 o No longer covered in any grade level Describe and/or use the relationship of data displayed on a rate of change graph o M7.D.3.1.2 o No longer covered in any grade level Seventh Grade Common Core Content that is New to Seventh Grade Content that is still included in Seventh Grade but may be modified at a greater depth Content that is no longer a focus at Seventh Grade 2.3 Geometry 2.3.7.A Geometry 2.3 Geometry 2.3.7.A Geometry M7.C Geometry 2.3.7.A.1 Identify or describe the properties of all types of triangles based on angle and side measure o M07.C-G.1.1.2 o 7.G.2 Use and apply the triangle inequality theorem o M07.C-G.1.1.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles with three measures of angles or sides, noticing when the conditions determine la unique triangle, more then on triangle or no triangles o 7.G.2 Describe the two-dimensional figure that results from slicing three-dimensional figures o M07.C-G.1.1.4 o 7.G.3 2.3.7.A.3 Identify and use the properties of supplementary, complementary and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure 2.3.7.A.1 Solve problems involving scale drawings of geometric figures, including finding lengths and area o M07.C-G.1.1.1 o 7.G.1 2.3.7.A.3 Find the area and circumference of a circle. Solve problems involving area and circumference of a circle(s). Formulas will be provided o M07.C-G.2.2.1 o 7.G.4 Identify, describe and/or define diameter, radius, chord and/or circumference in circles o M7.C.1.1.1 o No longer covered in any grade level Solve problems involving the relationship between the radius and diameter of the same circle o M7.C.1.1.2 o No longer covered in any grade level Identify parallel, perpendicular and/or skew line segments within three dimensional figures o M7.C.1.1.3 o No longer covered in any grade level Identify and/or use polygons that are similar and/or congruent, given either measurement, or tic and angle marks o M7.C.1.2.1 o No longer covered in any grade level Identify corresponding sides and/or angles Seventh Grade Common Core o M07.C-G.2.1.1 o 7.G.5 Identify and use properties of angles formed when two parallel lines are cut by a transversal (e.g. angles may include alternate interior, alternate exterior, vertical and corresponding) o M07.C-G.2.1.2 Solve real world and mathematical problems involving area, volume and surface area of two and three – dimensional objects composed of triangles, quadrilaterals, polygons, cubes and right prisms. Formulas will be provided o M07.C-G.2.2.2 o 7.G.6 of congruent or similar polygons o M7.C.1.2.2 o No longer covered in any grade le level Plot and/or identify ordered pairs on a coordinate plane (all four quadrants) o M7.C.3.1.1 o Move to 6th M06.A-N.3.2.23 6.NS.8 Identify quadrants I,II,III IV, the x-axis and y axis and the origin on a coordinate plane o M7.C.3.1.2 o Moved to 6th M06.A-N.3.2.3 M7.B Measurement __________________________________________ Add, subtract or convert measurements using only the units below, with and without regrouping o M7.B.1.1.1 o Moved to 6th M06.C-G.1.1.2 6.G.1 Develop and/or use strategies to find the perimeter and/or area of compound figures o M7.B.2.1.1 o Moved to 6th M06.C-G.1.1.2 6.G.1 Find the area of triangles and/or all types of parallelograms o M7.B.2.1.3 o Moved to 6th M06.C-G.1.1.1 6.G.1 Seventh Grade Common Core Content that is New to Seventh Grade Content that is still included in Seventh Grade but may be modified at a greater depth Content that is no longer a focus at Seventh Grade 2.4 Data Analysis and Probability 2.4.7.B Statistics and Probability 2.4 Data Analysis and Probability 2.4.7.B Statistics and Probability M7.E Data Analysis and Probability 2.4.7.B.1 Determine whether a sample is a random sample given a real world situation o M07.D-S.1.1.1 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 the population. Understand that random sampling tends to produce representative samples and support valid inferences o 7.SP.1 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 2.4.7.B.2 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of measures of variability (i.e. compare two numerical data distributions using measures of center and variability) o M07.D-S.2.1.1 o 7.SP.3 o 7.SP.4 Analyze data and/or answer questions pertaining to data to represented in histograms, double bar graphs, multiple line graphs, or stem-and-leaf plots o M7.E.1.1.1 o No longer covered in any grade level Decide/choose which measure of central tendency would be most appropriate for a given situation o M7.E.2.1.2 o Moved to 6th M06.D-S.1.1.4 6.SP.5a Use data displayed in charts, graphs or tallies to find experimental probability o M7.E.3.1.3 Seventh Grade Common Core same size to gauge the variation in estimates by prediction o M07.D-S.1.1.2 o 7.SP.2 2.4.7.B.3 Predict or determine whether some outcomes are certain, more likely, less likely, equally likely or impossible (i.e. a probability near 0 indicates an unlikely event, a probability around ½ indicates an event that is neither unlikely or likely, and a probability near 1 indicates a likely event) o M07.D-S.3.1.1 o 7.SP.5 Determine the probability of a change event given relative frequency. (Predict the approximate frequency given the probability) o M07.D-S.3.2.1 o 7.SP.6 Find the probability of a simple event, including the probability of a simple event not occurring o M07.D-S.3.2.2. Develop probability model and use it to find probabilities of events. Compare probabilities from a model to observe frequencies, if the agreement is not good, explain possible sources of discrepancy o Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine the probability of events 7.SP.7a o Develop a probability model (which may not be uniform) by observing frequencies in data generated by a chance process 7.SP.7b Find the probabilities of independent compound events using organized lists, tables, tree diagrams and simulations o No longer covered in any grade level Formulate predictions and/or draw conclusions based on data displays or probability o M7.E.4.1.1 o No longer covered in any grade level Seventh Grade Common Core o o o Understand that, just as with a simple event, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs M07.D-S.3.2.3 7.SP.8a Represent sample space for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language identify the outcomes in the sample space which compose the event M07.D-S.3.2.3 7.SP.8b Design and use a simulation to generate frequencies for compound events M07.D-S.3.2.3 7.SP.8c