District 11 Division of Operations & Instruction
Mathematics

 

Grade 8,  August Unit (@ 10 days)

Overview                                                                              
During the first two weeks, 8th graders will use positive and negative numbers to solve real world problems.  Pay close attention to the Essential Questions. You may be asked to answer the questions at the end of this unit.

 

Daily Lessons 1 2 3 4 5 6 7 8 9 10


Enduring Understandings - important ideas that students should carry with them years beyond the instruction received this year.

  • Numbers can be represented, ordered, and communicated in many different forms.

  • Numbers have different characteristics.

  • Numbers have properties.

  • Solutions must be reasonable.

  • Order is important.

  • Computation is a vital mathematical tool.

  • There are different ways of estimating.

  • Computation and reasoning are vital mathematical tools.

Essential Questions - most important “big picture” questions students should be able to answer after completing learning activities.

  • How do you demonstrate equivalent numbers using various forms?

  • How do you compare and order a set of numbers that are expressed in different ways?

  • How are characteristics of numbers and number concepts identified and used?

  • How are properties of numbers like the rules of a game?

  • When is the "correct" answer not the best solution?

  • How is the order of operations similar to following the rules of a game?

  • How do you select, apply, and explain the strategies chosen to solve a problem?

  • How do you decide and justify your problem solving technique?

  • How do you solve problems using rational numbers and know your answer is reasonable?

Standards Highest Frequency High Frequency Other Standards and E-Skills

Standard 1 (Number Sense) Students develop number sense and use numbers and number relationships in problem solving situations and communicate the reasoning in solving these problems.
1.2 Compare and order integers, fractions, decimals, and percents (include a number line also)
1.1 Simplify expressions with exponents.

Standard 6 (Computation) Students link concepts and procedures as they develop and use computational techniques, including estimation, mental arithmetic, paper-and-pencil, calculators, and computers, in problem-solving situations and communicate the reasoning involved in solving these problems.
6.2 Add, Subtract, Multiply, and Divide Integers
6.4 Compute to solve problems with fractions, decimals, percents, and integers.  Check for reasonable answers.
6.2 Order of Operations with Integers

Lesson 1:  
Duration: @ 1 class period

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Lesson 2:  
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Lesson 3:  
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Lesson 4:  
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Lesson 5:  
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Lesson 6:  
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Lesson 7:  
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Lesson 8:  
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Lesson 9:  
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Lesson 10:  
Duration: @ 1 class period

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Differentiation
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