Wayne RESA

Unit PlannerBig Ideas Math 7

Wayne Resa - Math / Grade 7 / Mathematics / Big Ideas Math 7 / Week 1 - Week 3
2 Curriculum Developers
Unit Abstract

Seventh Grade

  • Use and justify rules for addition, subtraction, multiplication, and division of integers.
  • Find the absolute values of integers.
  • Add, subtract, multiply, and divide integers
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Expectations/Standards
MI: Mathematics
MI: Grade 7
The Number System
7.NS.A. Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
7.NS.A.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
7.NS.A.1b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
7.NS.A.1c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
7.NS.A.1d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.A.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
7.NS.A.2a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
7.NS.A.2b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts.
7.NS.A.2c. Apply properties of operations as strategies to multiply and divide rational numbers.
7.NS.A.2d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
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

Fifth Grade

  • Fluently Multiply
  • Divide whole numbers, finding quotients, with and without remainders
  • Create and solve problems with whole number operations

Sixth Grade

  • Fluently divide.
  • Identify and represent integers
  • Order and compare integers
  • Identify and describe absolute values of integers
Connections to Upcoming Units
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Key Terms / Vocabulary

Integer, Absolute Value, Opposite, Additive Inverse, Range, Dividend, Divisor, Quotient, Undefined, Mean, Average

Elevation, Substance, Tide, Freezing Point, Number Line, Kilauea, Loihi, Sea Level, Bay of Fundy


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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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