By the end of this section, students should understand concepts of volume, and explain and model volume using area and/or unit cubes.   They should be able to explain the connections and relationships between patterns in volume, multiplication, and addition.

Suggested pacing 2-3 weeks 

Teacher tips: 

• You may want to start with reviewing prerequisite skills, as this is typically an area of weakness for fifth grade. 

• Clarify definitions of length, width, and height at the beginning of the unit, and monitor for consistency throughout.

• Utilize models to demonstrate concepts BEFORE teaching algorithm

• Emphasize that volume is additive to introduce irregular prisms

sample pretest

Essential Learning Outcomes (ELO)

∎ Define the volume of rectangular prisms using unit cubes, and apply said strategies to real world problems. (5.MD.3) (SMP1, SMP5)

∎ Determine the volume of rectangular prisms using a variety of strategies, and apply said strategies to real world problems. (5.MD.4, 5.MD.5) (SMP1, SMP5) 

Learning targets

• I can recognize and define  volume as an attribute of solid figures using cubic units. (5.MD.3.a) (5.MD.3.b)

• I can state how to measure volume using unit cubes (5.MD.3.a)

• I can measure volume with unit cubes (5.MD.4)

• I can measure volume with multiplication (L X W x H ) (5.MD.5.a)

• I can state how to measure volume  using multiplication L x W x H (5.MD.5.b)

• I can recognize volume as additive by finding the volume of two overlapping rectangular prisms (5.MD.5.c)

• I can apply the volume formula to solve real world problems (5.MD.5)

∎ 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 (Main focus)

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 (Main focus)

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 Whole Numbers  (Review)

  use partial products 1x3-digit    2- x2-digit

  friendly numbers   1 x 3-digit    2-x 2-digit

  break apart factors  1 x 2-digit   2 x 2-digit

Doubling/halving    1 x 3 digit    2- x 2-digit

Division Strategies Whole Numbers  (Review)  

  Multiplying up  1-digit divisor     2-digit divisor 

Partial quotients  1-digit divisor w/3-digit       2-digit divisor  

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

Add like denominators  Area model like denominator      Number line      Using benchmark of whole     Adjust an addend

MUST DO/Core Resources:  

Ready Teacher Toolbox         Lesson 3: Finding Volume using Formulas -Sessions 1-4

Assessment Tasks   5.MD.5,    Frayer Model Assessment           Proficiency Rubrics     5.MD.5       IAR sample questions   MD.5

CAN DO/Additional Resources:

Math in Practice:    5.MD.3,4,5    Module 13    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 3 Swimming Pools

Interactive manipulatives

Prior knowledge

• 4 MD 3   Raging Rectangles (p.77)    Zoo Designer (p.83)

• 3 MD5    Area War   Area With Colored Tiles   Area Match

• 3 MD 6   Area and Perimeter    Perimeters of 18

• 3 MD 7  Raging Rectangles (p.8 )    Cut a Rug (p.77)

• 3 OA 5  Decomposing Factors for Partial Products    Turn Around Arrays (Array Cards) 

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.

Equivalent Fractions (4th)

• • Fraction Matchup 

  • Equivalent Fractions

  • Fraction Blackout  

Multiplication/Division Multi-digit (5th Q2)

• • Open Middle multiplication   Open Middle division

  • 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.

Add/Subt Decimals