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1 Inman Middle School Weeks 1-6 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD 8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two objects has greater speed. TEXT and VOCABULARY Vocabulary: cluster, equivalent equations, like terms, linear equation, rate of change, slope, slope-intercept form, y-intercept RESOURCES and ACTIVITIES CCCoach Lesson 7, p. 40 IXL I.1, I.2 Probe PZPTQ452227 Learning Targets: I can graph proportional relationships I can compare two different proportional relationships represented in different ways. I can interpret the unit rate of a proportional relationship as the slope of a graph 8.EE.7 Solve linear equations in one variable. 8.EE.7a Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). Math 11.5, p. 562 Skills Bank p. 687 Learnzillion.com 8.EE.5 Hands-On Activity Algebra 3.5, p. 149 Learning Targets: I can give an example of alinear equation which has one solution by transforming into an equivalent equation of the form x = a. I can give an example of a linear equation which ahs no solution by transforming into an equivalent equation of the form b = a. I can give an example of a linear equation which has infinitely many solutions by transforming into an equivalent equation of the form a = a. 8.EE.7 Solve linear equations in one variable. 8.EE.7b Analyze and solve linear equations and pairs of Algebra 3.3 – 3.5, p.135-149 simultaneous linear equations. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting CCCoach Lesson 9, p. 52 Probe PZPGW414751 Learnzillion.com 8.EE.7a Hands-On Activity CCCoach Lesson 9, p. 52 Learnzillion.com 8.EE.7b 2 th Inman Middle School Weeks 1-6 2013-2014 8 Grade Curriculum Pacing Guide STANDARD TEXT and VOCABULARY RESOURCES and ACTIVITIES like terms. Hands-On Activity Learning Targets: I can solve linear equations with rational number coefficients. I can solve linear equations whose solutions require expanding expressions using the distributive property. I can analyze and solve pairs of simultaneous linear equations. I can solve linear equations whose solutions require collecting like terms. 8.EE.8 Analyze and solve pairs of simultaneous linear equations 8.EE.8a Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. Math 10.6, p. 523-525 Algebra 7.1-7.4, p. 369-390 CCCoach Lesson 10 IXL Algebra U.2, U.6 Probe PZPJV002554 Learning Targets: I can identify the solution(s) to a system of two linear equations in two variables as the point(s) of intersection of their graphs. I can describe the point(s) of intersection between two linear equations as points which satisfy both equations simultaneously. 8.EE.8 Analyze and solve pairs of simultaneous linear equations. 8.EE.8b Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously by 5 and 6. Learning Targets: I can solve a system of two linear equations with two variables algebraically. I can solve simple cases of systems of two linear equations in two variables by inspection. I can estimate the points of intersection for a system of two equations with two variables by graphing the equations. Learnzillion.com 8.EE.8a Hands-On Activity CCCoach Lesson 11 IXL Algebra U.8, U.10, U.14 Learnzillion.com 8.EE.8b Hands-On Activity 3 th Inman Middle School 2013-2014 8 Grade Curriculum Pacing Guide Weeks 1-6 STANDARD TEXT and VOCABULARY 8.EE.8 Analyze and solve pairs of simultaneous linear equations. 8.EE.8c Solve real-world and mathematical problems leading to Math 10.6, p. 523-525 two linear equations in two variables. For example given coordinates for two pairs of points, determine whether the line through the first pair Algebra 7.1-7.4, p. 369-390 of points intersects the line through the second pair. RESOURCES and ACTIVITIES CCCoach Lesson 12 IXL Algebra U.15, U.9, U.11 Learnzillion.com 8.EE.8c Learning Target: I can solve real-world problems which result in two linear equations with two variables. Hands-On Activity 4 Inman Middle School Weeks 7-12 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARDS 8.F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. Learning Targets: I can define a function as a rule that assigns to each input exactly one output. I can identify a graph of a function with a set of ordered pairs consisting of an input and the corresponding output. 8.F.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change. TEXT and VOCABULARY RESOURCES and ACTIVITIES Vocabulary: function, functional relationship, input, CCCoach Lesson 13 line of best fit, linear function, negative association, nonIXL Algebra Q.7, Q.8, Q.9 linear function, output, outlier, positive association Probe PZPUP659002 Math 12.4, p. 608-610 Learnzillion.com 8.F.1 Hands-On Activity Math 12.5, p. 613-614 CCCoach Lesson 14 Probe PZPUB050350 Learnzillion.com 8.F.2 Learning Target: I can compare properties of two functions represented in different ways (algebraically, graphically, numerically in tables, verbally). 8.F.3 Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not Math 12.5-12.7, p. 613-623 linear. For example, the function A = s³ giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line. Hands-On Activity CCCoach Lesson 15 IXL Algebra Q.4, Q.5 IXL W.1, V.1-V.7 Learning Targets: I can identify that a linear function on a graph is a straight line. I can interpret y= mx + b is the equation of a linear function.. I can give examples of functions that are not linear functions Probe PZPNV255946 Learnzillion.com 8.F.3 Hands-On Activity 5 Inman Middle School Weeks 7-12 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD 8.F.4 Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x,y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. Learning Targets: I can determine the rate of change and initial value from two (x,y) values. I can determine the rate of change and initial value from a description of a relationship. I can determine the rate of change and initial value from values in a table and a graph. I can construct a function to model a linear relationship between two quantities. I can interpret the rate of change and initial value of a linear function in terms of the situation, graph or table of values. 8.F.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function if increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally. Learning Targets: I can analyze a graph and describe in words the functional relationship between two quantities. I can sketch a graph given a verbal description of its qualitative features. TEXT and VOCABULARY Math 12.5, p. 613-614 RESOURCES and ACTIVITIES CCCoach Lesson 16 Probe PZPBH178987 Learnzillion.com 8.F.4 Hands-On Activity CCCoach Lesson 17 Probe PZPHY383765 Learnzillion.com 8.F.5 Domain Review—CCCoach p. 98 Rich Task Mathematics Assessment Project A16: Sorting Functions 6 Inman Middle School Weeks 7-12 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. TEXT and VOCABULARY Math 4.7, p. 204-205 RESOURCES and ACTIVITIES CCCoach Lesson 29 Probe PZPWT968906 Learnzillion.com 8.SP.1 Learning Targets: I can describe clusters and outliers in patters of data. I can describe positive or negative associations in patters of data I can describe linear and non-linear associations in patterns of data. I can construct scatter plots for bivariate measurement data. I can interpret scatter plots for bivariate measurement data for patterns between two quantitites. 8.SP.2 Know that straight lines are widely used to model relationship between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line. Learning Targets: I can use a straight line to model relationships between two quantitative variables. I can informally fit a straight line within the plotted data that suggests a linear association. I can informally assess the closeness of the data points to the straight line Hands-On Activity Rich Task Mathematics Assessment Project A09: Sugar Prices CCCoach Lesson 30 Probe PZPPP088389 Learnzillion.com 8.SP.2 Hands-On Activity 7 th Inman Middle School 2013-2014 8 Grade Curriculum Pacing Guide Weeks 13-18 Unit 2: Irrational Number, Radicals and Exponents STANDARD TEXT and VOCABULARY Vocabulary: converse, cube 8.NS.1 Know that there are numbers that are not rational, and approximate them by rational numbers. Know that numbers that are root, hypotenuse, integer exponent, irrational number, not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the leg, perfect square, Pythagorean Theorem, decimal expansion repeats eventually, convert a decimal expansion properties of integer which repeats eventually into a rational number. exponents, radical, repeating decimal, square root, Learning Targets: terminating decimal I can define irrational numbers I can demonstrate that the decimal expansion of rational numbers repeats eventually. Math 3.10, p. 156-157 I can convert a decimal expansion which repeats into a rational number. I can generalize that every number has a decimal expansion. 8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., n³). For example, by truncating the decimal expansion of ò2, show that ò2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations. Learning Targets: I can approximate an irrational number as a rational number. I can approximately locate irrational numbers on a number line. I can estimate the value of expressions involving irrational numbers using rational approximations. I can compare the value of irrational numbers using rational approximations. RESOURCES and ACTIVITIES CCCoach Lesson 1 IXL D.1 Probe PZPDF152563 Learnzillion.com 8.NS.1 Hands-On Activity CCCoach Lesson 2 Probe PZPXN396978 Learnzillion.com 8.NS.2 Hands-On Activity Domain 1 Review CCCoach p. 16 8 Inman Middle School Weeks 13-18 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD 8.EE.2 Work with radicals and integer exponents. Use square root and cube root symbols to represent solutions to equations of the form x³ = p and x´ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that ò2 is irrational. TEXT and VOCABULARY Math 3.8, p. 146-147 p. 154-155 RESOURCES and ACTIVITIES CCCoach Lesson 4, p. 26 IXL F.1-F.19 Probe PZPAY536712 Learning Targets: I can use a square root symbol to represent solutions to equations of the form x³ = p. I can evaluate square roots of small perfect squares. I know that the square root of 2 as an irrational number. 8.G.6 Explain a proof of the Pythagorean Theorem and its converse Learning Targets: I can define the Pythagorean Theorem I can explain a proof of the Pythagorean Theorem I can explain a proof of the converse of the Pythagorean Theorem. 8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical prlbems in two and three dimensions. Learnzillion.com 8.EE.2 Hands-On Activity Math 6.3, p. 290-291 CCCoach Lesson 25, p. 136 Probe PZPWW396991 Learnzillion.com 8.G.6 Hands-On Activity CCCoach Lesson 26, p. 142 Probe PZPRE630886 Learning Targets: I can solve real-world and mathematical problems using the Pythagorean Theorem to find a missing side of a right triangle. I can solve real-world and mathematical problems using the Pythagorean Theorem to find a missing side of a right triangular cross-section of a three-dimensional object. Learnzillion.com 8.G.7 Hands-On Activity 9 Inman Middle School Weeks 13-18 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD 8.G.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. Learning Targets: I can determine how to create a right triangle from two points on a coordinate graph. I can use the Pythagorean Theorem to solve for the distance between two points in the coordinate plane. 8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3³ x 3ý¶ = 3ý´ = 1/3´ = 1/27 TEXT and VOCABULARY RESOURCES and ACTIVITIES CCCoach Lesson 27, p. 146 Probe PZPZK577416 Learnzillion.com 8.G.8 Hands-On Activity Math 2.6-2.8, p. 84-93 CCCoach Lesson 3, p. 22 Probe PZPEQ411418 Learning Targets: I can explain the properties of integer exponents to generate equivalent numerical expressions. I can apply the properties of integer exponents to generate equivalent numerical expressions. 8.EE.3 Use numbers expressed in the form of a single digit times an Math 2.9, p. 96-97 integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 x 10¹ and the Algebra 8.3, p. 425-427 population of the world as 7 x 10º, and determine that the world population is more than 20 times larger. Learning Targets: I can use numbers expressed as a single digit times an integer power of 10 to estimate very large and/or small quantities I can use numbers expressed as a single digit times an integer power of 10 to express how many times as much one is than the other. Learnzillion.com 8.EE.1 Hands-On Activity CCCoach Lesson 5, p. 30 IXL G.1-G.4 Probe PZPJH618344 Learnzillion.com 8.EE.3 Hands-On Activity Rich Task Mathematics Assessment Project A18: Giantburgers 10 Inman Middle School Weeks 13-18 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD 8.EE.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology. Learning Targets: I can perform operations using number expressed in both decimal and scientific notation. I can use scientific notation to express very large and very small quantities. I can interpret scientific 8.F.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change. TEXT and VOCABULARY RESOURCES and ACTIVITIES Math 2.9, p. 96-97 CCCoach Lesson 6, p. 34 Algebra 8.3, p. 425-427 IXL G.1-G.4 Probe PZPXB413464 Learnzillion.com 8.EE.4 Hands-On Activity CCCoach Lesson 14, p. 82 IXL V.1-V.6 Probe PZPUB050350 Learning Target: I can compare properties of two functions represented in different ways (algebraically, graphically, numerically in tables, verbally). 8.F.3 Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s³ giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line. Learnzillion.com 8.F.2 Hands-On Activity CCCoach Lesson 15, p. 86 IXL W.1; V.1-V.7 Probe PZPNV255946 Learning Targets: I can identify that a linear function on a graph is a straight line. I can interpret y= mx + b is the equation of a linear function.. I can give examples of functions that are not linear functions Learnzillion.com 8.F.3 Hands-On Activity 11 Inman Middle School Weeks 19-24 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD in a table and a graph. I can construct a function to model a linear relationship between two quantities. I can interpret the rate of change and initial value of a linear function in terms of the situation, graph or table of values. TEXT and VOCABULARY 8.F.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function if increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally. Learning Targets: I can analyze a graph and describe in words the functional relationship between two quantities. I can sketch a graph given a verbal description of its qualitative features. 8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two objects has greater speed. RESOURCES and ACTIVITIES CCCoach Lesson 17, p. 94 Probe PZPHY383765 Learnzillion.com 8.F.5 Hands-On Activity Math 11.5, p. 562 Skills Bank, p. 687 CCCoach Lesson 7, p. 40 IXL I.1-I.2 Probe PZPTQ452227 Learning Targets: I can graph proportional relationships I can compare two different proportional relationships represented in different ways. I can interpret the unit rate of a proportional relationship as the slope of a graph Learnzillion.com 8.EE.5 Hands-On Activity 12 Inman Middle School Weeks 19-24 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD 8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y= mx + b for a line intercepting the vertical axis at b. TEXT and VOCABULARY RESOURCES and ACTIVITIES CCCoach Lesson 8, p. 46 Probe PZPND093681 Learnzillion.com 8.EE.6 Learning Targets: I can write an equation of the form y = mx for a line through the origin. I can write an equation of the form y = mx + b for a line intercepting the vertical axis at b. I can use similar triangles to explain why the slope is the same between two distinct oints on a non-vertical line in the coordinate plane. 8.EE.7 Solve linear equations in one variable. 8.EE.7a Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). Learning Targets: I can give an example of alinear equation which has one solution by transforming into an equivalent equation of the form x = a. I can give an example of a linear equation which ahs no solution by transforming into an equivalent equation of the form b = a. I can give an example of a linear equation which has infinitely many solutions by transforming into an equivalent equation of the form a = a. Hands-On Activity Algebra 3.5, p. 149 CCCoach Lesson 9, p. 52 Probe PZPGW414751 Learnzillion.com 8.EE.7a Hands-On Activity 13 Inman Middle School Weeks 19-24 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD (Review) 8.EE.7 Solve linear equations in one variable. 8.EE.7b Analyze and solve linear equations and pairs of simultaneous linear equations. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Learning Targets: I can solve linear equations with rational number coefficients. I can solve linear equations whose solutions require expanding expressions using the distributive property. I can analyze and solve pairs of simultaneous linear equations. I can solve linear equations whose solutions require collecting like terms. TEXT and VOCABULARY Algebra 3.3-3.5, p. 135-149 RESOURCES and ACTIVITIES CCCoach Lesson 9, p. 52 Learnzillion.com 8.EE.7b Hands-On Activity 14 Inman Middle School Weeks 25-30 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD 8.G.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. Learning Targets: I can recall and apply the formula for volume of cones to solve real-world and mathematical problems. I can recall and apply the formula for volume of cylinders to solve real-world and mathematical problems. I can recall and apply the formula for volume of spheres to solve real-world and mathematical problems. I can determine and apply the appropriate cones, cylinder, and sphere volume formula in order to solve real-world and mathematical problems. 8.G.1 Verify experimentally the properties of rotations, reflections, and translations 8.G.1a Lines are taken to lines, and line segments to line segments of the same length Learning Targets: I can use physical models, transparencies or geometry software to verify properties of lines and line segments in transformations (rotations, reflections, or translations). I can describe and explain how lines are mapped to lines in a transformation using definitions and properties of transformations. I can describe and explain how line segments are mapped to line segments n a transformation using definitions and properties of transformations. TEXT and VOCABULARY Vocabulary: angle-angle criterion, cone, congruent, corresponding angles, cylinder, dilation, exterior angle, interior angle, reflection, rotation, sphere, transformation, translation, transversal RESOURCES and ACTIVITIES CCCoach Lesson 28, p. 150 IXL Geometry S.4, S.5 Probe PZPRG525109 Learnzillion.com 8.G.9 Hands-On Activity Math 6.7, p, 312 Math 6.10, p. 324 CCCoach Lesson 18, p. 104 Probe PZPKU934353 Learnzillion.com 8.G.1a Hands-On Activity 15 Inman Middle School Weeks 25-30 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD 8.G.1 Verify experimentally the properties of rotations, reflections, and translations 8.G.1b Angles are taken to angles of the same measure Learning Targets: I can use physical models, transparencies or geometry software to verify properties of angles in transformations (rotations, reflections, or translations). I can describe and explain how angles are mapped to angles of the same measure in a transformation using definitions and properties of transformations. 8.G.1 Verify experimentally the properties of rotations, reflections, and translations 8.G.1c Parallel lines are taken to parallel lines. Learning Targets: I can use physical models, transparencies or geometry software to verify properties of parallel lines in transformations (rotations, reflections, or translations). I can describe and explain how parallel lines are mapped to parallel lines in a transformation using definitions and properties of transformations. 8.G.2 Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. Learning Targets: I can justify that a 2-D figure is congruent to another if the second can be obtained by a sequence of transformations. I can describe the sequence of rotations, reflections, and translations that exhibits the congruence between 2-D figures. TEXT and VOCABULARY RESOURCES and ACTIVITIES Math 5.7, p. 254-255 CCCoach Lesson 18, p. 104 Algebra 4.2, p. 197-200 IXL R.1-R.10 Learnzillion.com 8.G.1b Hands-On Activity CCCoach Lesson 19, p. 110 Probe PZPNJ307036 Learnzillion.com 8.G.2 Hands-On Activity 16 Inman Middle School th 2013-2014 8 Grade Curriculum Pacing Guide Weeks 25-30 STANDARD 8G.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. Learning Targets: I can describe the effects of dilations on 2-D figures using coordinates. I can describe the effects of translations on 2-D figures using coordinates. I can describe the effects of rotations on 2-D figures using coordinates. I can describe the effects of reflections on 2-D figures using coordinates. 8.G.4 Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two dimensional figures, describe a sequence that exhibits the similarity between them. TEXT and VOCABULARY Math 7.5, p. 362-363 (Dilations) RESOURCES and ACTIVITIES CCCoach Lesson 21, p. 120 IXL R.1-R.10 Algebra 4.2, p. 197 Probe PZPME430777 Learnzillion.com 8.G.3 Hands-on Activity CCCoach Lesson 22, p. 124 Probe PZPYS715746 Learnzillion.com 8.G.4 Learning Targets: I can justify that a 3-D figure is similar to another if the second can be obtained by a sequence of rotations, reflections, translations, or dilations. I can describe the sequence of rotations, reflections, translations, or dilations that exhibit the similarity between 2-D figures using words and /or symbols. 8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so. Hands-on Activity Math 5.2, p. 228-229 CCCoach Lesson 24, p. 132 IXL Geometry D.2, D.3 Probe PZPZD875975 Learnzillion.com 8.G.5 17 Inman Middle School Weeks 25-30 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD Learning Targets: I can use informal arguments to establish facts about the angle sum (i.e. the sum of the interior angles equals 180±). I can use informal arguments to establish facts about the exterior angles of a triangle (i.e. they are equal to the sum of the two remote interior angles). I can use Angle-Angle Criterion to prove similarity among triangles. I can use informal arguments to establish facts about angles (alternate interior, alternate exterior, corresponding, vertical, adjacent, etc.) created when parallel lines are cut by a transversal. TEXT and VOCABULARY RESOURCES and ACTIVITIES Hands-on Activity Domain 4 Review CCCoach, p. 156 18 Inman Middle School Weeks 31-36 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD 8.EE.8 Analyze and solve pairs of simultaneous linear equations 8.EE.8a Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. TEXT and VOCABULARY RESOURCES and ACTIVITIES Math 10.6, p. 523-525 CCCoach Lesson 10, p. 56 Algebra 7.1-7.4, p. 369-390 Learnzillion.com 8.EE.8a Hands-on Activity Learning Targets: I can identify the solution(s) to a system of two linear equations in two variables as the point(s) of intersection of their graphs. I can describe the point(s) of intersection between two linear equations as points which satisfy both equations simultaneously. 8.EE.8 Analyze and solve pairs of simultaneous linear equations. 8.EE.8b Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously by 5 and 6. CCCoach Lesson 11, p. 62 Learnzillion.com 8.EE.8b Hands-on Activity Learning Targets: I can solve a system fo two linear equations with two variables algebraically. I can solve simple cases of systems of two linear equations in two variables by inspection. I can estimate the points of intersection for a system of two equations with two variables by graphing the equations. 8.EE.8 Analyze and solve pairs of simultaneous linear equations. 8.EE.8c Solve real-world and mathematical problems leading to two linear equations in two variables. For example given coordinates for two paris of points, determine whether the line through the first pair of points intersects the line through the second pair. CCCoach Lesson 12, p. 68 Probe PZPJV002554 Learnzillion.com 8.EE.8c Learning Target: I can solve real-world problems which result in two linear equations with two variables. Hands-on Activity Domain 2 Review CCCoach p. 72 19 Inman Middle School Weeks 31-36 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD 8.F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. TEXT and VOCABULARY RESOURCES and ACTIVITIES Math 12.4, p. 608-610 CCCoach Lesson 13, p. 78 Algebra 4.6, p. 226-228 Probe PZPUP659002 Learning Targets: I can define a function as a rule that assigns to each input exactly one output. I can identify a graph of a function with a set of ordered pairs consisting of an input and the corresponding output. 8.F.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change. Learn Zillion.com 8.F.1 Hands-on Activity CCCoach Lesson 14, p. 82 Probe PZPUB050350 Learn Zillion.com 8.F.2 Learning Target: I can compare properties of two functions represented in different ways (algebraically, graphically, numerically in tables, verbally). 8.F.3 Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not Math 12.5-12.7, p. 613-623 linear. For example, the function A = s³ giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line. Hands-on Activity CCCoach Lesson 15, p. 86 Probe PZPNV255946 Learnzillion.com 8.F.3 Learning Targets: I can identify that a linear function on a graph is a straight line. I can interpret y= mx + b is the equation of a linear function.. I can give examples of functions that are not linear functions Hands-on Activity 20 Inman Middle School Weeks 31-36 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD 8.F.4 Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x,y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. TEXT and VOCABULARY Math 12.5, p. 613-614 RESOURCES and ACTIVITIES CCCoach Lesson 16, p. 90 Probe PZPBH178987 Learnzillion.com 8.F.4 Learning Targets: I can determine the rate of change and initial value from two (x,y) values. I can determine the rate of change and initial value from a description of a relationship. I can determine the rate of change and initial value from values in a table and a graph. I can construct a function to model a linear relationship between two quantities. I can interpret the rate of change and initial value of a linear function in terms of the situation, graph or table of values. 8.F.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function if increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally. Hands-on Activity Learning Targets: I can analyze a graph and describe in words the functional relationship between two quantities. I can sketch a graph given a verbal description of its qualitative features. 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. Learnzillion.com 8.F.5 Learning Targets: I can describe clusters and outliers in patterns of data. CCCoach Lesson 17, p. 94 Probe PZPHY383765 Hands-on Activity Domain 3 Review CCCoach, p. 98 Math 4.7, p. 204-205 CCCoach Lesson 29, p. 162 Probe PZPWT968906 Learnzillion.com 8.SP.1 21 Inman Middle School Weeks 31-36 th 2013-2014 8 Grade Curriculum Pacing Guide STANDARD I can describe positive or negative associations in patters of data I can describe linear and non-linear associations in patterns of data. I can construct scatter plots for bivariate measurement data. I can interpret scatter plots for bivariate measurement data for patterns between two quantities. 8.SP.2 Know that straight lines are widely used to model relationship between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line. TEXT and VOCABULARY RESOURCES and ACTIVITIES Hands-on Activity Math 4.7, p. 204-205 CCCoach Lesson 31, p. 170 Probe PZPSZ857860 Learning Targets: I can use a straight line to model relationships between two quantitative variables. I can informally fit a straight line within the plotted data that suggests a linear association. I can informally assess the closeness of the data points to the straight line 8.SP.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height. Learnzillion.com 8.SP.2 Learning Targets: I can use a linear model to interpret the slope and y-intercept. I can solve problems using the equation of a linear model. Hands-on Activity Hands-on Activity CCCoach Lesson 31, p. 170 Probe PZPSZ857860 Learnzillion.com 8.SP.3 22 th Inman Middle School 2013-2014 8 Grade Curriculum Pacing Guide Weeks 31-36 STANDARDS TEXT and VOCABULARY 8.SP.4 Understand that patterns of association can also be seen in Math 4.5, p. 196-197 bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores? Learning Targets: I can identify patterns of association in bivariate categorical data using frequencies and relative frequencies. I can construct and display bivariate categorical data in a twoway table. I can interpret and summarize data represented in a two-way table using relative frequencies. RESOURCES and ACTIVITIES CCCoach Lesson 32, p. 174 Learnzillion.com 8.SP.4 Hands-on Activity Domain 5 Review CCCoach p. 178