Trimester #2 – 8th Grade Math

For trimester #2 we will be focusing on:

Unit 3: Linear relationships (17 days)

Represent

  • situations involving proportional relationships (Lesson 1)
  • constants of proportionality in different ways (Lesson 3)
  • slope using expressions (Lesson 7)
  • linear relationships using graphs, tables, equations, and verbal descriptions (Lesson 8)
  • situations using negative slopes and slopes of zero (Lesson 9)
  • situations by graphing lines and writing equations (Lesson 12)
  • situations involving linear relationships (Lesson 14)

Generalize

  • categories for graphs (Lesson 2)
  • about equations and linear relationships (Lesson 7)
  • in order to make predictions about the slope of lines (Lesson 10)

Explain

  • how to graph proportional relationships (Lesson 3)
  • how to use a graph to determine information about a linear situation (Lessons 5 and 6)
  • how to graph linear relationships (Lesson 10)
  • how slope relates to changes in a situation (Lesson 11)

Unit 4: Linear Equations and Linear Systems (18 days)

 

Critique

  • strategies for solving puzzles (Lesson 1)
  • reasoning about maintaining balance in equations (Lesson 3)
  • solutions of linear equations (Lessons 4 and 5)
  • reasoning about structures of systems of equations (Lesson 14)
  • explanations of solutions (Lesson 16)

Justify

  • strategies for solving puzzles (Lessons 1 and 5)
  • predictions about maintaining balance (Lesson 2)
  • predictions about solutions of linear equations (Lesson 6)

Generalize

  • about the structures of equations that have one, infinite, and no solutions (Lessons 7 and 8)
  • about the structures of systems of equations (Lessons 14 and 15)

Unit 5: Functions and Volume (25 days)

Generalize

  • about what happens to inputs for each rule (Lesson 1)
  • about dimensions of cylinders (Lesson 14)
  • about the relationship between the volumes of cylinders and cones (Lesson 15)
  • about dimensions of cones (Lesson 16)
  • about volumes of spheres, cones, and cylinders as functions of their radii (Lesson 21)

Justify

  • claims about what can be determined from given information (Lesson 2)
  • claims about volumes of cubes and spheres based on graphs (Lesson 7)
  • claims about approximately linear relationships (Lesson 10)
  • reasoning about the volumes of spheres and cones (Lesson 21)

Compare

  • different representations of functions (Lesson 3)
  • features of graphs, equations, and situations (Lesson 4)
  • features of a situation with features of a graph (Lesson 6)
  • temperatures shown on a graph with different temperatures given in a table (Lesson 7)
  • the volumes of cones with the volumes of cylinders (Lesson 16)
  • methods for finding and approximating the volume of a sphere as function of its radius (Lesson 20)

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