8th Grade Scope and Sequence Southeastern Utah Style Getting to know you activities and Review (8 days) Solving Equations in One Variable (8.EE.7a,b) (17 days) ● ● ● ● ● ● ● One Step equations Two step equations Combining like terms Variables on both sides (multi-step equations including the distributive property) Application problems Emphasize one solution, no solution, infinitely many solutions Solve equations and formulas for a specified variable Slope and Proportions (8.EE.5 and 8.EE.6) (12 days) ● ● ● ● ● ● Graphing a proportional relationship using a table, equation, or context Unit rate of slope, interpretation of slope Recognizing that proportion includes (0, 0) Determine the slope of a line as the ratio of the leg lengths of similar right triangles Explain why the slope is the same between any two distinct points on a line using similar right triangles Write an equation in the form y = mx + b from a graph of a line on the coordinate plane Benchmark #1 Functions (8.F.1, 8.F.2, and 8.F.3) (7 days) ● ● ● ● Definition of a function (input/output) Use tables and equations Compare properties of two functions represented differently (i.e., rate of change) y = mx + b as defining a linear function, use examples that are not linear Linear Functions (8.F.4 and 8.F.5) (18 days) ● ● ● ● Determine and interpret the initial value and rate of change given two points, a graph, a table of values, a geometric representation, or a story problem (verbal description) of a linear relationship Write the equation of a line given two points, a graph, a table of values, a geometric representation, or a story problem (verbal description) of a linear relationship Describe attributes of a function by analyzing a graph Create a graphical representation given the description of the relationship between two quantities Systems of Equations (8.EE.8) (15 days) ● ● ● ● Solving systems of equations graphically Solving systems of equations algebraically (substitution, elimination) Understanding when you have one solution, no solution, infinitely many solutions Application problems Benchmark #2 Statistics (8.SP.1, 8.SP.2, 8.SP.3 and 8.SP.4) (7 days) ● ● ● ● ● ● Construct/interpret scatter plots for bivariate data Describe the relationship (linear or nonlinear) also look at clustering, outliers, positive, negative, or no association, and trend lines Fit a line to scatter plots with linear association and assess the model fit, interpret the slope and the y-intercept in context Use a linear model to solve problems involving bivariate data Construct a two-way frequency and a relative frequency table on two categorical variables Interpret/describe the association of data Integer Exponent Rules and Scientific Notation (8.EE.1, 8.EE.3, and 8.EE.4) (18 days) ● ● ● Know and apply the properties of integer exponents Express/estimate/operate on very large or very small quantities using scientific notation. Interpret scientific notation generated by technology The Number System (8.NS.1, 8.NS.2, and 8.EE.2) (11 days) ● ● ● ● ● Differentiate and convert between rational and irrational numbers Approximate the value of irrational numbers, locate them on a number line, compare the size of irrational numbers Estimate expressions involving irrational numbers Evaluate square roots and cube roots (perfect square and perfect cubes) Represent solutions to equations (x2 = p and x3 = p) Benchmark #3 Pythagorean Theorem and Distance Between Two Points (8.G.6, 8.G.7, and 8.G.8) (10 days) ● ● ● ● ● ● Simplify Radicals Understand the proof of the Pythagorean Theorem and its converse Know and apply the Pythagorean Theorem and its converse Use the Pythagorean Theorem to determine unknown side lengths Find the distance between two points using the Pythagorean Theorem Real world applications in two and three dimensions Transformations (8.G.1, 8.G.2, 8.G.3, and 8.G.4) (13 days) ● ● ● ● Rotations, reflections, and translations, and congruence of pre-image and image Describe the effect of dilations, translations, rotations, and reflections on twodimensional figures using coordinates Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of transformations Given two similar figures, specify a sequence of transformations that exhibits the similarity between them Geometry (8.G.5 and 8.G.9) (9 days) ● ● ● ● ● Angle sum theorem Exterior angle theorem Parallel lines cut by a transversal and the angle properties associated with it (congruent, supplementary) Understand congruent and similar Know and apply the formulas for the volumes of cones, cylinders, and spheres Benchmark #4 1 Rule, Procedures, Review, Unit 1, Benchmark Tests 2 3 4 5 6 7 8 9 Unit 1: Equations Review Simplify Linear Expressions 10 Solve One Variable Linear Equations – One Step Solve 11 Inquiry Lab: Two Step Equations 12 Solve One Variable Linear Equations – Two Step Equations 13 Solve One Variable Linear Equations – combining terms 15 Real-Life Application Problems 16 Solve One Variable Linear Equation, Variables on both sides 17 Solve One Variable Linear Equations, Multi-Step 18 Real-Life Application Problems 14 Solve Linear Equations in One Variable with distributive property 19 Problem Solving: Working Backward on Multi-Step Equations 21 Literal Equations Formulas 22 Write Symbolic representations for models 23 Different Solutions to linear equations 24 Review for Unit 1 Test 25 Unit 1 Test 26 Unit 2 Unit Rates 27 Proportional constants and slope 28 Proportional relations vs linear relations 29 Right Triangles and slope 30 Slope and proportional relationships 31 Slope from two points 32 Rules for Tables and graphs 33 Writing linear equations form tables 34 Writing equations from graphs-graph stories activity 35 Graphing from y=mx + b 36 Review for Test 37 Unit 2 Test 38 39 40 41 42 43 44 45 Benchmark Test 1 20 Literal Equations General 1 Unit 3 Function Intro 2 3 4 5 Functions, domain and range Evaluating Functions Linear vs. Nonlinear Comparing functions and rate of change 6 Unit 3 Review 7 Unit 3 Test 8 Unit 4 Solving in the form y = mx + b 9 10 Solving in the form y = mx + b X and y intercepts 11 12 13 14 15 X and y intercepts Graph by solving for y Writing linear equations from stories Writing Linear equations from tables Point-slope Given a point and slope 16 17 18 Unit 4 quiz review 19 Unit 4 Quiz 20 Point slope Given two points Graphing from point-slope 21 22 23 Standard Form (chart) All forms of linear equations (chart) Converting from on form to another 26 Unit 5 Solving Systems by graphing 27 Standard form of a linear equations 24 Unit 4 Review 25 Unit 4 Test 28 29 30 Solving systems by graphing Solving Systems by substitution Solving Systems by substitution Solving systems by substitution 31 32 Solving systems by elimination Solving systems by elimination 33 Solving with substitution and elimination Review 34 Solving systems quiz review 35 Solving systems Quiz 36 Story Problems 37 Story Problems 38 Story Problems 39 Unit 5 Review 40 Unit 5 Test 41 Benchmark Test #2 42 43 44 45 1 Unit 6 Scatter Plots 2 3 4 5 Scatter Plots Line of Best Fit Line of Best Fit Two – way Tables 6 7 9 10 Two – way Tables Quiz Unit 6 8 Unit 7 Distributive Property Review Laws of Exponents-Mult Laws of Exponents-Mult 11 12 13 14 15 Powers and Products Powers and Products Dividing with Exponents More Dividing Review or Activity 16 17 18 19 20 Quiz Unit 7 Negative Exponents Negative Exponents Evaluating with Exponents Scientific Notation 21 22 23 24 25 Scientific Notation Operations with Scientific Notation Real World Problems Review or Activity Unit 7 Test 26 Unit 8 Rational and Irrational Numbers 27 Conversions (Fractions to Decimals) %? 29 30 Reinforcement Activity Square Roots on a Number Line 31 Solving with Perfect Squares and Cubes 32 34 Square Roots and Order of Operations 35 Estimating Square Roots 28 Decimals to Fractions and Repeating Decimals 33 Ordering on a Number Line Activity 36 37 38 39 40 Unit 8 Test Benchmark #3 Review Post Benchmark #3 41 42 43 44 45 Review or Activity 1- Unit 9 Radicals 2 3 Intro to Pythagorean Theorem 4 Practice Pythagorean Theorem 5 Converse of Pythagorean Theorem Practice Simplify Radicals Simplify Radicals 6 Pythagorean Theorem Story Problems 7 8 9 10 Intro to Distance Formula Distance Formula Practice Review Unit 9 Test 11- Unit 10 Trans. 12 13 14 15 Intro to Transformations Translations Translations Reflections Reflections 16 17 18 19 20 Rotations Rotations Congruence Dilations Dilations 21 22 23 24 Unit 11- Geo 25 Similarity Review Unit 10 Test Angle Sum Theorem Exterior Angles Theorem 26 27 28 29 30 Parallel Lines cut by a Transversal Parallel Lines cut by a Transversal Volume Spheres Volume cylinders Volume cones 31 32 33 34 35 Review Unit 11 Test Benchmark #4 36 37 38 39 40 41 42 43 44 45