Bryan Polack's Mini Course: Teaching Fractions and Number Sense

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Teaching Fractions and Number Sense

Students should not fear mathematics nor fractions. A solid foundation in fraction sense will lead students towards mathematical success! Before you start the mini-course, please sign up for Google Classroom. The code is 0k24qcm. This will connect the mini-course to Google Classroom and allow me to see your progress through Edpuzzle. Thank you for taking my Fractions mini-course.

Course Overview

This mini-course is designed for teachers and students of elementary or middle school math to better understand what fractions are and how to complete problems involving the four operations. The course stresses a focus on number sense and how and why the math works. While knowing an algorithm can be helpful, when truly understanding the math and how it works, students will build a strong number sense and will likely remember and make more connections.This course focuses on an introduction to fractions, finding equivalent fractions and adding, subtracting, multiplying, and dividing fractions using various models and manipulatives, including the standard or modern technique. Be sure to keep a paper or online learning journal to write what you have learned, to reflect on new ideas, and state any questions that you may have.

Mini-Course Goals

  • Students will add, subtract, multiply, and divide fractions using various methods.
  • Students will gain a strong number sense, especially with fractions.
  • Students will identify fraction sizes, create equivalent fractions, and analyze fraction operations with fluency.

Unit I: Basics of Fractions

  • Lesson 1: Intro to Fractions
  • Lesson 2: Visualizing Fractions
  • Lesson 3: Equivalent Fractions

Unit II: Operations with Models

Fractions line bp.jpg
  • Lesson 4: Adding and Subtracting Fractions with Models
  • Lesson 5: Multiplying Fractions with Models
  • Lesson 6: Dividing Fractions with Models

Unit III: Operations Using Standard Method

  • Lesson 7: Adding and Subtracting Fractions with Common Denominators
  • Lesson 8: Multiplying Fractions
  • Lesson 9: Dividing Fractions