Formative Assessment: Understanding Fractions
Common Core State Standards
Math 
Math 
3 
Grade 3 
NF 
Numbers & OperationsFractions 
A 
Develop understanding of fractions as numbers 
1 
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, 8. 
Download Common Core State Standards (PDF 1.2 MB) 
Common Core State Standards
Math 
Math 
Practice 
Mathematical Practice Standards 
MP1 
Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches. 
Download Common Core State Standards (PDF 1.2 MB) 
Common Core State Standards
Math 
Math 
Practice 
Mathematical Practice Standards 
MP2 
Reason abstractly and quantitatively. Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualizeto abstract a given situation and represent it symbolically and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents—and the ability to contextualize, to pause as needed during the manipulation process in order to probe into the referents for the symbols involved. Quantitative reasoning entails habits of creating a coherent representation of the problem at hand; considering the units involved; attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects. 
Download Common Core State Standards (PDF 1.2 MB) 

Teaching PracticeFormative Assessment: Understanding CongruenceGrades 912 / Math / GeometryMath.HSG.CO.B.6 / Math.HSG.CO.B.7 / Math.HSG.CO.B.8
 35
 5

Teaching PracticeFormative Assessment: Proportional RelationshipsGrade 7 / Math / ProportionsMath.7.RP.A.3 / Math.Practice.MP1 / Math.Practice.MP3
 109
 9

Teaching PracticeFormative Assessment: Collaborative DiscussionsGrade 4 / ELA / DiscussionELA.SL.4.1c
 86
 24
Lesson Objective
Formatively assess understanding of fractions
Length
16 minutes
Questions to Consider
 Why does Ms. Romano decide to assess her fourth graders' understanding of a third grade content standard?
 How does Ms. Romano encourage productive struggle during the lesson?
 What instructional decisions does Ms. Romano make based on her observations during the collaborative work?
Watch all the videos in this series: Formative Assessment Practices to Support Student Learning
Teacher & School Info

Melissa Romano
 School Details
 Four Georgians School Helena, MT
 Population
 78 students
 District Spending
 $7,755
Supporting Materials

Formative Assessment: Understanding Fractions Transcript

Formative Assessment Process.PDF

Smarter Balanced Website

Smarter Balanced Digital Library
Embed This Tch Video on Your Site
Just copy the code below and paste it into your html code where you want the video to appear. This latest code supports iPad, iPhone, Flash and more.
Teaching Practice Formative Assessment: Understanding Fractions
Grades 34 / Math / Fractions