6.EE.7 - About the Math, Learning Targets, and Increasing Rigor

Grade 4 G/T Expressions and Equations

6.EE.7

About the Math

Full Standard

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

 

Learning Targets (I can)

  • Explain how to solve an equation using physical models (algebra tiles).
  • Represent real-world problems with equations.
  • Solve real-world problems using equations.

 

About the Math

Students have used algebraic expressions to generate answers when given values for the variable. This understanding is now expanded to equations where the value of the variable is unknown but the outcome is known. For example, in the expression, x + 4, any value can be substituted for the x to generate a numerical answer; however, in the equation x + 4 = 6, there is only one value that can be used to get a 6. Problems should be in context when possible and use only one variable. Students write equations from real-world problems and then use inverse operations to solve one-step equations based on real world situations. Equations may include fractions and decimals with non-negative solutions. Beginning experiences in solving equations require students to understand the meaning of the equation and the solution in the context of the problem. Essential vocabulary for this standard includes: equations, profit, and exceed. Visit the online dictionary Links to an external site. or visual math dictionary Links to an external site. for vocabulary support.

 

Progression of Standard within Grade 4 G/T

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 
  • Explain how to solve an equation using physical models (algebra tiles).
  • Represent real-world problems with equations.
  • Solve real-world problems using equations.

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade 5 Grade 7
  • Add/subtract fractions with unlike denominators (5.NF.1) 
  • Multiply a fraction or whole number by a fraction (5.NF.4)  
  • Use equations and inequalities to solve problems by reasoning about the quantities. (7.EE.4)

 

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Instructional Tasks

TASKS

These tasks can be used with small group or whole group instruction.

  • George paid a total of $15.25 for a pizza with some toppings. The pizza without toppings cost $11.50. Write an equation to show the cost of toppings, t.
  • Chase now has a total of $3.25 after his friend gave him $1.12. How much money did Chase begin with before his friend gave him money. Write an equation to show how you solved the problem.
  • Connor has a cell phone plan where he pays $55 for unlimited talk time minutes and a total of 30 text messages. Last month Connor sent a total of 48 text messages, so he needs to pay $0.08 for every text message sent over the 30 allotted. Write an equation to show what Connor will need to pay the phone company. Now solve.
  • A student company charges a $5 flat fee plus $3 per window to wash windows. How much more would someone have to pay to have 35 washed than 24 windows? Write equations to support your answer. Could someone pay $87 to have their windows washed? Justify your answer.
  • Gloria raised $90 for a charity. This is ⅔ the amount that Fiona raised for the charity. Write and solve an equation to determine the amount, d, in dollars that Fiona raised for the charity.

 

SLIDE-BASED TASKS 

 These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.

Module 10 • Using Expressions and Equations

Write Equations with Variables to Solve Real-World Problems:

 

Additional Tasks

These links provide instructional ideas connected to this standard. 

Engineers Like Straight Lines

CC - Indicates colleague created instructional tasks. These tasks are provided in Google slides. When selected, a copy of the file is added to your drive for classroom use.

 

 

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Independent Work

Centers

These print resources can be used during independent or center time. These resources could also be used as lesson seeds.

 

 

 

INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT

 These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.

 

 

 

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Assessment

Learning Targets

rubric

  • Explain how to solve an equation using physical models (algebra tiles).
  • Represent real-world problems with equations.
  • Solve real-world problems using equations.

 

Learning targets identify what students should be able to do. This rubric can be applied to tasks and observations for assessment and/or grading. 

 

 

 

 

 

 

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 This course content is offered under a CC Attribution Non-Commercial Share Alike Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.