By the end of this section, students should be able to to create equivalent fractions for any given denominator, and use said skill as a strategy to add and subtract fractions.

Suggested pacing 3-4 weeks 

Teacher tips:

• Utilize models BEFORE introducing algorithms  - see below for suggested strategies.

• As students construct their line plots, emphasize importance of even rows and columns for accurate data.

• Use line plots as an opportunity to review equivalent fractions

sample pretest

Essential Learning Outcomes (ELO)

∎ Add and subtract fractions with like and unlike denominators and create equations from word problems. (5.NF.1, 5.NF.2) (SMP2, SMP4, SMP5, SMP6)

⊡ Create a line plot using equivalent fractions and use to solve data related problems. (5.MD.2) (SMP1, SMP6) 

Learning targets

• I can add fractions with unlike denominators (5.NF.1)

• I can subtract fractions with unlike denominators (5.NF.1)

• I can solve word problems involving addition of fractions with like and unlike denominators (5.NF.2) 

• I can solve word problems involving subtraction of fractions with like and unlike denominators (5.NF.2)

• I can assess the reasonableness of answers through use of benchmark fractions and fraction number sense (5.NF.2)

• I can make an equivalent fraction line plot to display a data set of measurements (5.MD.2)

• I can use operations with fractions to solve problems involving information presented in line plots (5.MD.2)

∎ Major Content           ⊡ Supporting Content           🌕 Additional Content

Computational Number Talks/Strings (minimum 3 days a week) to work on computational strategies.

5th grade number talk guide printable  &   3-5th grade number talks 

Add/Subt  &  Mult/Div Strategies   

Choose which strategy students need to practice.  You may find that they need many, so start with one for a week or so, then move onto another.  You are looking for efficient strategies, not mastery of all strategies.  Students may find they prefer one strategy over another or change strategies for different problems.  The goal is that they are flexibly using efficient strategies and are able to reason about numbers to fluently compute.

Addition Strategies Decimals (Review)

Break apart by place value Adding by place value hundredths and thousandths

Chunking (break apart one number)   Adding by chunks thousandths

Friendly number  Make friendly number mixed numbers

Subtraction Strategies Decimals (Review)

Count up/think addition Adding up mixed place values

Adjust to create easier problem   Adjusting mixed place value

Keep constant distance/difference  Keep constant distance mixed place values

Multiplication Strategies Decimals  (Main focus)

  use partial products Partial products

  break apart factors  tenths 

Fraction Strategies (work on Fractions at least one day a week)

Subtract like denominators  Like denominator      Partial difference

Multiply whole # & fraction   unit fraction of whole 

MUST DO/Core Resources:  

Ready Teacher Toolbox        Lesson 14: Add and Subtract Fractions in Word Problems-Sessions 1-4

Assessment Tasks 5.NF.2    Frayer Model Assessment           Proficiency Rubrics  5.NF.2                 IAR sample questions 

CAN DO/Additional Resources:

Math in Practice:   5.NF.2 - Module 7  Math in Practice lesson slides and Essential Question Guide         MIP Resource folder

Open Middle tasks Printable activities & Centers                 Nearpod Math lessons

Prior knowledge/Just in Time support     &     Enrichment RTTB  Lesson 14 Baking Cookies

Word problems are difficult for many students.  The goal is to support students engaging in the context of the problem and going beyond looking for keywords and numbers.  Here is a resource that will support applying close reading with math:    Numberless Word Problems             Multiplication and Division Problem Types   (comparison with unit fractions)

Interactive manipulatives

“Closure in a lesson does not mean to pack up and move on. Rather, it is a cognitive activity that helps students focus on what was learned and whether it made sense and had meaning.” How the Brain Learns Mathematics (2007) P. 104

There are many ways to wrap up and reflect the day's activities but this step is often overlooked or rushed.  Purposely plan and allow time for students to have closure each day (even if it means setting a timer or daily alarm so you don't run out of time).

Ideas for closure activities

Prior knowledge

4 NF 1      Tangram Challenges (p.33)

4 NF A 2   Birthday Cake Fractions   Comparing Fractions with benchmarks game

4 NF3      Fraction Close to Game (p.46)   Find the Fraction Model (p.44)    Adding Mixed numbers     

                Mixed Numbers word problems  (Spanish)

4 MD 2  Dinner at the Zoo  Margie Buys Apples

4 MD4  Finding Rory   Create Your Own Line Plot

Nearpod Math lessons

Enrichment

• Inside Mathematics Problem Solving- leveled problems

These are activities to give students mixed, spaced practice based on the big ideas for 5th grade math.

Multiply Fractions (4th)

• • Parts of a Whole

  • MLC Math at Home problem solving & games

Decimal Operations (5th Q3)

• • Race to 1 or Bust  (add/subt)

  • Decimal Dynamo multiplying decimals

  • MLC Math at Home problem solving & games

Spiral Practice

These resource sheets are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.   Please select pages carefully based on your students' needs. 

You may have students work on these with a partner, independently with an answer key to self-check (tip: use sheet protectors), or as a journal response.   It is not necessary to have students complete a page every day- the intent is to have opportunities to spiral concepts for mixed practice, not do "busy" work.

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