Trimester 1 Pretest (Otional) Use as an additional acing tool to guide instruction. August 21 Beyond the Basic Facts In Trimester 1, Grade 8 focus on multilication. Daily Unit 1: Rational vs. Irrational Numbers August 22 Setember 4 (9 days) Title Groued lessons may be combined. Otional lessons are in italics. Tye N/A 3 1 Decimal Exansion 8.NS.1 C 1.1, 1.2 11 2 Rational vs. Irrational Numbers 8.NS.1 C 1.1, 1.2 19 3 Rational vs. Irrational Numbers 8.NS.1 P N/A 29 4 Convert Reeating Decimals to Fractions 8.NS.1 C N/A 37 5 Convert Reeating Decimals to Fractions 8.NS.1 P 1.3 49 6 Estimate Irrational Numbers 8.NS.2 C 1.3 57 7 Estimate Irrational Numbers 8.NS.2 P 1.3 67 8 Comare & Order Irrational Numbers 8.NS.2 P N/A 77 9 Classify Numbers Unit 1 Constructed Resonse (allow 2 days) 8.NS.1 8.NS.2 MT Unit 1 Assessment Setember 5 & 6 Unit 2: Exonents Setember 7 24 (12 days) Title Groued lessons may be combined. Otional lessons are in italics. Tye 2.1 95 1 Multily Exonents 8.EE.1 C 2.1 103 2 Proerties of Exonents: Multilication 8.EE.1 P 2.1 115 3 Divide Exonents 8.EE.1 C 2.1 123 4 Proerties of Exonents: Division 8.EE.1 P 2.1 133 5 Proerties of Exonents: Zero and Negatives 8.EE.1 C 2.1 141 6 Convert Negative Exonents 8.EE.1 P indicates a major standard; unmarked standards are additional or suorting Coyright Swun Math
Unit 2: The Number System Part 2 (cont.) Title Groued lessons may be combined. Otional lessons are in italics. Tye 2.1 149 7 Zero and Negative Exonents 8.EE.1 P N/A 159 8 Exlore Exonents 8.EE.1 MT 1.1 163 9 Solve Squared Equations 8.EE.2 C 1.1 171 10 Solve Cubic Equations 8.EE.2 C 1.1 179 11 Solve Square and Cubic Equations 8.EE.2 P 1.1 191 12 Solve Square and Cubic Equations 8.EE.2 MT Unit 2 Constructed Resonse (allow 3 days) Unit 2 Assessment Setember 25 & 26 Unit 3: Scientific Notation Setember 27 October 8 (8 days) Title Groued lessons may be combined. Otional lessons are in italics. Tye 2.2, 2.3 205 1 Scientific Notation 8.EE.3 C 2.2, 2.3 213 2 Scientific Notation 8.EE.3 P 2.4 223 3 Scientific Notation: Add & Subtract 8.EE.4 C 2.4 231 4 Scientific Notation: Add & Subtract 8.EE.4 P 2.4 243 5 Scientific Notation: Multily & Divide 8.EE.4 C 2.4 251 6 Scientific Notation: Multily & Divide 8.EE.4 P 2.4 163 7 Scientific Notation: Mixed Practice 8.EE.4 P N/A 275 8 Scientific Notation 8.EE.4 MT Unit 3 Constructed Resonse (allow 1 day) Unit 3 Assessment October 9 & 10 Unit 4: Linear Equations October 11 26 (12 days) Title Groued lessons may be combined. Otional lessons are in italics. Tye N/A 287 1 Model Equations 8.EE.7 C N/A 295 2 One-Ste Equations 8.EE.7 P indicates a major standard; unmarked standards are additional or suorting Coyright Swun Math
Unit 4: Linear Equations (cont.) Title Groued lessons may be combined. Otional lessons are in italics. Tye 7.2, 7.3 307 3 Collect Like Terms 7.EE.7b C N/A 315 4 Two-Ste Equations 7.EE.7b P 7.3 327 5 Simlify Exressions: Distributive Proerty 7.EE.7b C 7.3 335 6 Solve Equations: Distributive Proerty 7.EE.7b P N/A 345 7 Equations with Variables on Both Sides 7.EE.7b C 7.1, 7.2 353 8 Equations with Rational Numbers 7.EE.7b P 7.4 363 9 Equations: No Solution or Many 7.EE.7a C 7.4 371 10 Equations: No Solution or Many 7.EE.7a P N/A 381 11 Write Linear Equations 7.EE.7b P N/A 393 12 Linear Equations 7.EE.7 MT Unit 4 Constructed Resonse (allow 3 days) Unit 4 Assessment (Otional) October 29 & 30 Trimester 1 Cumulative Benchmark Review October 31 Trimester 1 Cumulative Benchmark November 1 & 2 Trimester 1 Performance Task November 5 & 6 indicates a major standard; unmarked standards are additional or suorting Coyright Swun Math
The Number System 8.NS Know that there are numbers that are not rational 1. 2. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal exansion; for rational numbers show that the decimal exansion reeats eventually, and convert a decimal exansion which reeats eventually into a rational number. Use rational aroximations of irrational numbers to comare the size of irrational numbers, locate them aroximately on a number line diagram, and estimate the value of exressions (e.g.,π 2 ). For examle, by truncating the decimal exansion of 2, show that 2 is between 1 and 2, then between 1.4 and 1.5, and exlain how to continue on to get better aroximation. Exressions and Equations 8.EE Work with radicals and integer exonents. 1. 2. 3. 4. Know and aly the roerties of integer exonents to generate equivalent numerical exressions. For examle, 3 2 3 5 = 3 3 = 1/3 3 = 1/27. Use square root and cube root symbols to reresent solutions to equations of the form x 2 = and x 3 =, where is a ositive rational number. Evaluate square roots of small erfect squares and cube roots of small erfect cubes. Know that 2 is irrational. Use numbers exressed in the form of a single digit times an integer ower of 10 to estimate very large or very small quantities, and to exress how many times as much one is than the other. For examle, estimate the oulation of the United States as 3 10 8 and the oulation of the world as 7 10 9, and determine that the world oulation is more than 20 times larger. Perform oerations with numbers exressed in scientific notation, including roblems where both decimal and scientific notation are used. Use scientific notation and choose units of aroriate size for measurements of very large or very small quantities (e.g., use millimeters er year for seafloor sreading). Interret scientific notation that has been generated by technology. Understand the connections between roortional relationshis, lines, and linear equations. 5. Grah roortional relationshis, interreting the unit rate as the sloe of the grah. Comare two different roortional relationshis reresented in different ways. For examle, comare a distance-time grah to a distance-time equation to determine which of two moving objects has greater seed indicates a major standard; unmarked standards are additional or suorting Coyright Swun Math
6. Use similar triangles to exlain why the sloe m is the same between any two distinct oints on a non-vertical line in the coordinate lane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line interceting the vertical axis at b. Analyze and solve linear equations and airs of simultaneous linear equations. 7. Solve linear equations in one variable. a. b. Give examles of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these ossibilities is the case by successively transforming the given equation into simler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). Solve linear equations with rational number coefficients, including equations whose solutions require exanding exressions using the distributive roerty and collecting like terms. 8. Analyze and solve airs of simultaneous linear equations. a. b. c. Understand that solutions to a system of two linear equations in two variables corresond to oints of intersection of their grahs, because oints of intersection satisfy both equations simultaneously. Solve systems of two linear equations in two variables algebraically, and estimate solutions by grahing the equations. Solve simle cases by insection. For examle, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6. Solve real-world and mathematical roblems leading to to linear equations in two variables. For examle, given coordinates for two airs of oints, determine whether the line through the first air of oints intersects the line through the second air. indicates a major standard; unmarked standards are additional or suorting Coyright Swun Math