MTSD
4.NF.1 Intervention Guide
Draft Dated 9.4.13.mh
Intervention Guide
4.NF.1
Extend understanding of fraction equivalence and ordering.
4.NF.1. Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention
to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this
principle to recognize and generate equivalent fractions.
Students should be provided ample time to explore how to rename improper fractions and mixed
numbers through manipulatives such as fraction bars, Cuisenaire rods, snap cubes, or fraction circles
prior to introducing the algorithm to them.
If students are struggling to understand skills and concepts related to 4.NF.1 they may need to back
up to the following:
3.NF.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.
3.NF.2
Understand a fraction as a
number on the number line;
represent fractions on a
number line diagram.
https://grade3commoncore
https://grade3commoncoremath. math.wikispaces.hcpss.org/
3.NF.2
wikispaces.hcpss.org/3.NF.1
3.NF.3
Explain equivalence of
fractions in special cases,
and compare fractions by
reasoning about their size.
https://grade3commoncor
emath.wikispaces.hcpss.or
g/3.NF.3
Resources to support intervention work around 4.NF.1:
Resource #1
Conceptua Big Idea 5 – Learning Equivalent Fractions
 Paper/Pencil Tasks are posted on MTSD RtI Website
 You will need your teacher login
 A “class” will need to be created for you in Concpetua. Email first and last names and grades
of your students to Melissa.
https://www.conceptuamath.com/app/curriculum
Resource #2
Conceptua Tool Library – Equivalent Fractions – Uses visual models and equations to model using a
“one” fraction to create equivalent fractions.
https://www.conceptuamath.com/app/tool/equivalent-fractions
MTSD
4.NF.1 Intervention Guide
Draft Dated 9.4.13.mh
Resource #3
The Rational Number Project
Lesson #2 Equivalence
http://www.cehd.umn.edu/ci/rationalnumberproject/RNP2/Lesson02.pdf
Resource #4
Utah Education Network – Instruction Strategies and Assessment Tasks are very nice. They are found
at the bottom of the pdf.
http://www.uen.org/core/math/downloads/4NF1.pdf
Resource #5
Teaching Student-Centered Mathematics Grade 3-5 Vol II (2014)
Equivalent Fractions p.220-226
 Activity 12.12 Different Fillers p. 221
 Activity 12.13 Dot-Paper Equivalencies p. 222 (A follow-up to Different Fillers)
 Activity 12.14 Apples and Bananas p. 223
 Activity 12.15 Missing-Number Equivalencies
Developing an Equivalent-Fraction Algorithm
 Activity 12.16 Garden Plots p. 224
 Figure 12.20 . 226 shows how to use the equivalent-fraction algorithm to write fractions in
lowest terms.
Resource #6
Fraction Concentration
http://illuminations.nctm.org/ActivityDetail.aspx?ID=73
Resource #7
Their Fair Share Lesson
Fair sharing contexts also provide learners with opportunities to explore how fractional parts can be
equivalent without necessarily being congruent.
https://grade4commoncoremath.wikispaces.hcpss.org/file/view/Their%20Fair%20Share.pdf/402794
340/Their%20Fair%20Share.pdf
Resource #8
Pattern Block Puzzles – finding equivalent fractions using pattern blocks
https://grade4commoncoremath.wikispaces.hcpss.org/file/view/Pattern%20Block%20Puzzles.pdf/44
0847936/Pattern%20Block%20Puzzles.pdf
Resource #9
Creating Equivalent Fractions – Lesson Seed – Finding ways to make a variety of fractions using
concrete models
http://www.k-5mathteachingresources.com/supportfiles/creatingequivalentfractions.pdf
MTSD
4.NF.1 Intervention Guide
Draft Dated 9.4.13.mh
Resource #10
Illustrative Mathematics – Explaining Fraction Equivalence with Pictures
http://www.illustrativemathematics.org/illustrations/743
Resource #11
Illustrative Mathematics – Fractions and Rectangles
http://www.illustrativemathematics.org/illustrations/881
Resource #12
NRich Mathematics – A Bowl of Fruit
http://nrich.maths.org/218
Resource #13
Howard County “Assessing 4.NF.1” Provides 11 different assessment tasks that target 4.NF.1. Each
task could be used as a teaching task.
https://grade4commoncoremath.wikispaces.hcpss.org/Assessing+4.NF.1
Resource #14
Finding Equivalent Fractions – This lesson would be good as the intervention progresses. Students are
using a “one” fraction to multiply and divide to find equivalent fractions.
https://s3.amazonaws.com/quantile-resources/resources/downloads/QuantileResource42041.pdf
Resource #15
Equivalent Fractions – To what are you equal? Finding equivalent fractions using numbers and models
https://s3.amazonaws.com/quantile-resources/resources/downloads/QuantileResource42124.pdf
Resource #16
Equivalent Fraction Land – A board game students could play with a partner or small group setting.
Does entail some prep work.
https://s3.amazonaws.com/quantile-resources/resources/downloads/QuantileResource42125.pdf
Resource #17
Rip Apart Fractions – Creating equivalent fractions using fraction strips
https://s3.amazonaws.com/quantile-resources/resources/downloads/QuantileResource42127.pdf