Formative Assessment: Proportional Relationships
Common Core State Standards
Math 
Math 
7 
Grade 7 
RP 
Ratios & Proportional Relationships 
A 
Analyze proportional relationships and use them to solve realworld and mathematical problems 
3 
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. 
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 
MP3 
Construct viable arguments and critique the reasoning of others. Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, andif there is a flaw in an argumentexplain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments. 
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
 41
 10

Teaching PracticeFormative Assessment: Understanding FractionsGrades 34 / Math / FractionsMath.3.NF.A.1 / Math.Practice.MP1 / Math.Practice.MP2
 45
 24

Teaching PracticeFormative Assessment: Collaborative DiscussionsGrade 4 / ELA / DiscussionELA.SL.4.1c
 90
 38
Lesson Objective
Formatively assess understanding of proportional relationships
Length
14 minutes
Questions to Consider
 How does Mr. Elsdon clarify the intended learning for the lesson?
 How does Mr. Elsdon use questioning to guide his students?
 How do the students assess their own understanding?
Watch all the videos in this series: Formative Assessment Practices to Support Student Learning
Teacher & School Info

Charles Elsdon
Supporting Materials

Formative Assessment: Proportional Relationships Transcript

Formative Assessment Process.PDF

Smarter Balanced Website

Smarter Balanced Digital Library