Lesson 6: Math Application ~ Mental Math to Solve Problems by Estimation

Back to: Para Assessment and Pathways(Self-Paced MODULE)

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Mental math and estimation are essential skills across elementary grades, and students often make predictable errors when using them. Below is a progression of sample problems from 1st to 6th grade that involve mental math with estimation, including:

  1. A typical student error

  2. A possible student-teacher aide conversation to support understanding and correction

Summary of Common Estimation Errors:

GradeCommon ErrorCorrection Strategy
1–2Rounding too far downUse nearest ten
3Wrong operation or orderRe-read problem and estimate both parts
4Rounding incorrectlyRound to nearest ten, not always down
5Guessing in divisionUse multiplication facts to check
6Rounding decimals too lowRound to nearest whole number
woman explaining to young man while pointing at a laptop computer screen

Para Assessment and Pathways(Self-Paced MODULE)

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  • Unit 1 Parapro Pathways 
    • Lesson 1: Parapro Pathways ~ Course Glossary
    • Lesson 2: Parapro Pathways ~ The WHY
    • Lesson 3: Parapro Pathways ~ Slideshow
    • Lesson 4: Parapro Pathways ~ Content: You Might Need an Aide Permit
    • Lesson 5: Parapro Pathways ~ Content: Skills Paras Should Know
    • Lesson 6: Parapro Pathways ~ Content: Other Options for Paraeducators Professional Development
    • Lesson 7: Parapro Pathways ~ Reflection
    • Lesson 8: Parapro Pathways ~ Resources for Practice
  • Unit 2 Test Taking Skills
    • Lesson 1: Test Taking Skills ~ The WHY
    • Lesson 2: Test Taking Skills ~ Slideshow
    • Lesson 3: Test Taking Skills ~ Content: Learn about Test Taking Skills and What Can Help
    • Lesson 4: Test Taking Skills ~ Content: Taking the Test at Home
    • Lesson 5: Test Taking Skills ~ Reflection
    • Lesson 6: Test Taking Skills ~ Resources for Practice
  • Unit 3 Math Skills
    • Lesson 1: Math Skills ~ Why Math?
    • Lesson 2: Math Skills ~ Number Sense
    • Lesson 3: Math Skills ~ Basic Math
    • Lesson 4: Math Skills ~ Basic Algebra
    • Lesson 5: Math Skills ~ Geometry & Measurement
    • Lesson 6: Math Skills ~ Representing Time and Money in More than One Way
    • Lesson 7: Math Skills ~ Converting Units in the Same System
    • Lesson 8: Math Skills ~ Measurement & Conversion
    • Lesson 9: Math Skills ~ Identify Basic Geometrical Shapes
    • Lesson 10: Math Skills ~ Perimeter, Area, and Volume
    • Lesson 11: Math Skills ~ Graph Data on an xy-coordinate Plane
    • Lesson 12: Math Skills ~ Data Analysis
    • Lesson 13: Math Skills ~ How to Read a Line Graph
    • Lesson 14: Math Skills ~ How to Read a Pie Chart
    • Lesson 15: Math Skills ~ Create Basic Tables, Charts, and Graphs
    • Lesson 16: Math Skills ~ Mean, Median, and Mode
    • Lesson 17: Math Skills ~ Overview of Math Skills and Knowledge
  • Unit 4 Math Application 
    • Lesson 1: Math Application ~ Why Apply Math Skills?
    • Lesson 2: Math Application ~ Attitude and Anxiety Towards Math
    • Lesson 3: Math Application ~ The First Step of Application: Understanding the Words of Math
    • Lesson 4: Math Application ~ Problem Solving
    • Lesson 5: Math Application ~ Error Analysis
  • Unit 5 Reading Skills
    • Lesson 1: Reading Skills ~ Supporting Literacy Development Across Grade Levels
    • Lesson 2: Reading Skills ~ Basic Features of Words
    • Lesson 3: Reading Skills ~ More About Basic Features of Words
    • Lesson 4: Reading Skills ~ Before, During, and After Reading
    • Lesson 5: Reading Skills ~ Differences in Reading Skill Attainment
    • Lesson 6: Reading Skills ~ Vocabulary and Word Usage
    • Lesson 7: Reading Skills ~ Revisit the Why and Reflect
    • Lesson 8: Reading Skills ~ Glossary Science of Reading
  • Unit 6 Reading Application 
    • Lesson 1: Reading Application ~ The Why of Reading Application
    • Lesson 2: Reading Application ~ Reading Passages and Responding Through Comprehension Questions
    • Lesson 3: Reading Application ~ Making Inferences
    • Lesson 4: Reading Application ~ Understanding What We Read by Subtopics
    • Lesson 5: Reading Application ~ Infographics and Charts
    • Lesson 6: Reading Application ~ Revisit the Why of Reading Application
    • Lesson 7: Reading Application ~ Resources for Practice
  • Unit 7 Writing Skills 
    • Lesson 1: Writing Skills ~ Why Writing Skills & Knowledge?
    • Lesson 2: Writing Skills ~ Overview of Writing 
    • Lesson 3: Writing Skills ~ Parts of Speech & Word Usage
    • Lesson 4: Writing Skills ~ Punctuation
    • Lesson 5: Writing Skills ~ Verb Tense
    • Lesson 6: Writing Skills ~ Pronoun Usage
    • Lesson 7: Writing Skills ~ Capitalization
    • Lesson 8: Writing Skills ~ Spelling
    • Lesson 9: Writing Skills ~ Unit Self-Reflection
  • Unit 8 Application of Writing Skills and Knowledge to Support Classroom Instruction: Foundations and Tools
    • Lesson 1: Application of Writing ~ Overview of Writing
    • Lesson 2: Application of Writing ~ Learning to Write vs. Writing to Learn
    • Lesson 3: Application of Writing ~ The Writing Process
    • Lesson 4: Application of Writing ~ The Phases of the Writing Process
    • Lesson 5: Application of Writing ~ Modes & Forms of Writing
    • Lesson 6: Application of Writing ~ Strategies to Help Students Write
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