

LFSDIGITAL KUD for Unit: Fractions
Key Learning
(What is the big understanding for this unit? What will you ultimately want students to understand as a result of the instruction? This is a “big picture” understanding, based both on the most critical standards and the thematic focus of the unit.)

Knowledge of fractions and equivalence can be used to develop algorithms for adding, subtracting, multiplying, and dividing fractions

Unit Essential Question
(What broad question will students be able to answer as a result of the instruction? This question should reflect the most critical standards on which the instruction is based. This question is the inverse of the Key Learning; the Key Learning would provide an “ideal” response to this question.)

How can knowledge of fractions and equivalence be used to develop algorithms for adding, subtracting, multiplying, and dividing fractions?

Unit Description
(Briefly summarize the focus and content of the unit.) 
This is a unit on developing the algorithms for adding, subtracting, multiplying, and dividing with fractions and mixed numbers. 
GradeLevel Standards Addressed in the Unit
(List the critical gradelevel standards on which the instruction will be based. Since many of the standards are recursive, reinforced throughout the year’s instruction, list only those that will be the focus of the instruction and assessments for this unit.)

DE: 1 – Numeric Reasoning
CC: 4.NF Number and Operations with Fractions and 6.NS.1 Dividing Fractions

Know
(Factual: nouns or noun phrases related to key concepts; terminology, academic vocabulary, formulas, etc., often found or implied in the language of the gradelevel standards.) 
Understand
(Conceptual: key understandings that students will gain as a result of the instruction within the unit, found in the language of the gradelevel standards, and generally written in complete sentences. These understandings will contribute to the overall key learning of the unit.) 
Do
(Procedural, Extending Thinking: written as verb phrases, often found or implied in the language of the gradelevel standards. These statements provide discreet targets for demonstrating learning. Often the assessments for the learning will be selected
from this column.) 
How to find a common denominator
The procedure to convert an improper fraction into a mixed number
The steps to simplify a fraction
Use estimation for fraction computations
How to find the reciprocal of a number
Steps to develop an algorithm for adding, subtraction, multiplying, and dividing fractions

Knowledge of fractions and equivalence can be used to develop algorithms for adding, subtraction, multiplying, and dividing fractions 
Multiply fractions by whole numbers and explain the result
Multiply fractions by other fractions using physical models, ratio/rate tables, and arrays
Connect multiplication by a unit fraction (such as 1/3,1/4, 1/5, 1/10, 1/100) to division by its multiplicative inverse (3, 4, 5, 10, 100) using models
Add and subtract fractions with unlike denominators and use physical models to justify your answer
* Gather data, examine patterns, and apply information for decision making using digital tools and resources to develop an algorithm to add, subtract, and multiply fractions. (1,4)




Below is a description of LoTi level 3 instructional focus in the classroom. For more information about LoTi and descriptions of higher LoTi levels please follow the link below. www.loticonnections.com 
At a Level 3 (Infusion), the instructional focus emphasizes student higher order thinking (i.e., application, analysis, synthesis, evaluation) and engaged learning. Though specific learning activities may or may not be perceived as authentic by the student, instructional emphasis is, nonetheless, placed on higher levels of cognitive processing and indepth treatment of the content using a variety of thinking skill strategies (e.g., problemsolving, decisionmaking, reflective thinking, experimentation, scientific inquiry). Teachercentered strategies including the concept attainment, inductive thinking, and scientific inquiry models of teaching are the norm and guide the types of products generated by students using the available digital assets.
Digital tools and resources are used by students to carry out teacherdirected tasks that emphasize higher levels of student cognitive processing relating to the content under investigation.


Print Resources


Discovery Education Resources
Open Resources
Resource 1: Equivalent fractions, Adding and subtracting fractions, Multiplying fractions, Dividing fractions, Simplifying fractions, Improper fractions and mixed numbers Media type: video, print, interactivity Description: These lessons include explanatory videos, problem sets, and games for these topics. Level: Intermediate
Credit: HelpingWithMath.com License: NC SA
Notes/activity suggestions: This is a very comprehensive resource with many activities that can be used with students at various levels. Tags: grade6, math, fractions, equivalent fractions, adding fractions, subtracting fractions, multiplying fractions, dividing, fractions, simplifying fractions, improper fractions, mixed numbers
Resource 2: Adding Fractions, Subtracting Fractions, Subtracting Fractions with Borrowing, Subtracting Fractions from Whole Numbers, Multiplying Fractions, Dividing Fractions Media type: video Description: Very short videos on basic operations with fractions; the problems worked all begin with mixed numbers Level: Intermediate
Credit: Duane Habecker License:
Notes/activity suggestions: These are quick and probably better for students who are more advanced and already have mastery of the basics of fractions. After these students have mastered the concepts, have them make their own videos showing how to do different kinds of fraction problems. Tags: grade6, math, fractions, adding fractions, subtracting fractions, multiplying fractions, dividing, fractions
Resource 3: Starting with Fractions (click “Click here to launch” to begin) Media type: interactivity Description: A Qedoc quiz with three sections. The first has students identify how the numerator and denominator are used in basic operations. The second has students solve simple problems like how many minutes are in 1/3 of an hour. The third has more difficult problems including ones with decimals and multiple steps. Level: Intermediate
Credit: Qedoc Educational Team License: CC BY NC SA
Notes/activity suggestions: good for independent practice, especially for students who already grasp the basics Tags: grade6, math, fractions, Qedoc
Resource 4: Basic operations with fractions Media type: text Description: Online textbook chapter with sections on adding, subtracting, multiplying, and dividing fractions and mixed numbers; includes problems with answers Level: Intermediate/advanced
Credit: Open University License: CC NC SA
Notes/activity suggestions: Best for students who can work independently and may be able to work independently especially in an accelerated mode. Tags: grade6, math, fractions, adding fractions, subtracting fractions, multiplying fractions, dividing, fractions, simplifying fractions, mixed numbers
Resource 5: Fractions Media type: video Description: This is a very basic video that introduces the concept of a what a fraction is, as well as the terms numerator and denominator. Level: Beginning
Credit: K12 Handhelds License: CC By
Notes/activity suggestions: This is a good video for students who don’t understand the basics of fractions or need a review. Tags: grade6, math, fractions, numerator, denominator
Resource 6: Multiplication tables games Media type: interactivity Description: simple games to practice multiplication tables Level: Beginning
Credit: HelpingWithMath.com License: NC SA
Notes/activity suggestions: remediation and practice for students who have not mastered multiplication tables
Tags: grade6, fractions, multiplication
Resource 8: Khan Academy videos: Greatest common divisor, Least common multiple, Adding and subtracting fractions, Multiplying fractions, Dividing fractions, Equivalent fractions, Mixed numbers and improper fractions Media type: video Description: Short talking chalkboard explanations of math concepts Level: Intermediate
Credit: Sal Khan License: CC BY SA
Notes/activity suggestions: Tags: grade6, fractions, multiplication
* new Resource 9: FlexMath > Prime > Operations with Fractions
Media type: interactive Description: Interactive drill practice of math skills. Wrong answers are penalized, and a 90% score is needed to pass. Topics include equivalent fractions, reducing fractions, adding and subtracting fractions (with common and unlike denominators), muliplying and dividing fractions, and more advanced topics. Level: Intermediate, Advanced
Credit: CK12 License: CC BY NC ND
Notes/activity suggestions:
Tags: grade5, math, fractions, adding fractions, subtracting fractions, multiplying fractions, dividing fractions
Thinkfinity Resources
Fraction Game
Media Type: interactive
Description: Interactive practice for recognizing the relationships of fractions on a number line and the relationships between combining fractions and equivalence.
Equivalent Fraction Game
Media Type: interactive
Description: Interactive practice making equivalent fractions with rectangle models and placing them on a number line.
Last modified at 7/20/2011 11:13 AM by SEAFORD\jwwhite



