Wayne RESA

Unit PlannerBig Ideas Math 8

Wayne Resa - Math / Grade 8 / Mathematics / Big Ideas Math 8 / Week 1 - Week 3
2 Curriculum Developers
Unit Abstract

Eight Grade

  • Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
  • Show that a linear equation in one variable has one solution, infinitely many solutions, or no solution by transforming the equation into simpler forms.
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Expectations/Standards
MI: Mathematics
MI: Grade 8
Expressions & Equations
8.EE.C. Analyze and solve linear equations and pairs of simultaneous linear equations.
8.EE.C.7. Solve linear equations in one variable.
8.EE.C.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).
8.EE.C.7b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
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Practice Standards
  • SMP1 - Make sense of problems and persevere in solving them
  • SMP2 - Reason abstractly and quantitatively
  • SMP3 - Construct viable arguments and critique the reasoning of others
  • SMP4 - Model with Mathematics
  • SMP5 - Use appropriate tools strategically
  • SMP6 - Attend to precision
  • SMP7 - Look for and make use of structure
  • SMP8 - Look for and express regularity in reasoning
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Concepts from Previous Units

Sixth Grade

  • Apply the properties of operations to generate equivalent expressions.
  • Write and solve simple equations in which the coefficients and solutions are nonnegative rational numbers.
  • Write an equation to represent one quantity in terms of another quantity.

Seventh Grade

  • Add, subtract, factor, and expand linear expressions with rational coefficients.
  • Solve multi-step problems posed with positive and negative rational numbers.
  • Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p,q, and r are rational numbers.
Connections to Upcoming Units

High School

  • Solve multi-step linear equations and use them to solve real-life problems
  • Rewrite and use literal equations and common formulas.
  • Solve systems of linear equations by graphing, by substitution, and by elimination.
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Key Terms / Vocabulary
Expression, Variable, Like Terms, Constant, Coefficient, Simplest Form, Integer, Opposite, Absolute Value, Equation, Rule, Literal Equation, Inverse Operations, Equivalent, In terms of, Solution, No solution, infinitely many solutions, isolate, Distributive property, Other Vocabulary: average, tip
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Lesson Plan Sequence
The following lesson plan sequence is obtained from Big Ideas Learning (2015). Each lesson is aligned with a learning objective to inform the teachers on what students should be able to do at the end of the lesson. The student objective informs the students of their learning goals for the day and it should be reviewed before, during and at the end of the lesson. Each lesson includes a mathematics task that should be implemented to meet the learning objectives. Teachers can select from the practice opportunities to reinforce the learning goals of the day.
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Language Support
The use of sentence stems as a language support are beneficial to all students, including English Language Learners. The use of sentence stems encourages the learning of mathematics in a language rich environment which has an impact on other learning as well. The sentence stems are a beginning place for supporting students' use of academic language and encourage discussion and writing as students learn content.
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