By the end of this section, students should have a mastery of decimal place values, and be able to provide real-world examples. 

Suggested pacing 4 weeks 

Teacher tips:

• Order of operations were covered in Q2 for whole numbers, so you can revisit those resources and add in examples that include decimals

• See this document for clarification on expectations for standard NBT7

sample pretest 5.NBT.7 & 5.OA.1-2

Essential Learning Outcomes (ELO)

∎ Compute decimals to hundredths using place value understanding   ( 5.NBT.7) (SMP6, SMP7)

🌕 Use parentheses, brackets, or braces in whole number and decimal numerical expressions, and evaluate expressions with these symbols. (5.OA.1) (SMP2, SMP5)

🌕 Write simple expressions that record calculations with decimals, and interpret numerical expressions without evaluating them. 

For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. (5.OA.2) (SMP2, SMP5)

Learning targets

• I can estimate sums and differences of decimals.  (5.NBT.7) 

• I can explain how addition and subtraction of decimals are related. (5.NBT.7) 

• I can represent multiplication and division of decimals with base ten models. (5.NBT.7) 

• I can estimate products and quotients of decimals for reasonableness. (5.NBT.7) 

• I can add, subtract, multiply, and divide decimals to hundredths using a variety of methods including the multiplication standard algorithm and explain in words what I did (5.NBT.7) 

• I can use parentheses ( ), brackets [ ], and braces { } in numerical expressions with decimals.  (5.OA.1)

• I can evaluate expressions with parentheses ( ) , brackets [], and braces { } with decimals. (5.OA.1)

• I can write simple expressions that record calculations with decimals (5.OA.2)

• I can interpret numerical expressions with decimals without evaluating them (5.OA2)

∎ 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.

Multiplication Strategies Whole Numbers  (Main focus)

  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  (Main focus)  

  Multiplying up  1-digit divisor     2-digit divisor 

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

Interpret remainders  Whole #s & interpret remainder

Addition Strategies Decimals (Review from 4th gr)

Break apart by place value Adding tenths and hundredths 

Chunking (break apart one number)   Adding by chunks tenths & hundredths

Friendly number  Make friendly number hundredths

Subtraction Strategies Decimals (Review from 4th gr)

Count up/think addition Subtracting by adding up

Adjust to create easier problem   Subtracting by adjusting

Keep constant distance/difference  Subtracting by keep constant distance

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

Reasoning & Comparing  compare to 0, ½ , 1     using unit fractions/common numerators       proportional reasoning

MUST DO/Core Resources:  

Ready Teacher Toolbox        Lesson 15: Multiply a Decimal by a Whole Number -Sessions 1-3

   Lesson 16: Multiply Decimals -Sessions 1-4

   Lesson 17: Divide Decimals -Sessions 1-5

Assessment Tasks  5.NBT.7     Frayer Model Assessment           Proficiency Rubrics   5.NBT.7                IAR sample questions

CAN DO/Additional Resources:

Math in Practice:   5.NBT.7 - Modules 5 & 6        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 15 Recycling Center, Lesson 16 Designing a Garden, & Lesson 17 Building Projects   

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.NBT.A2     Number Scramble (22-25)   Ordering & Comparing Numbers p32   Digit Ski

• 4. NF. C7   Deci-Moves       How High or Low Can You Go? (center/game)

• 3 NBT A 2    Close Enough (p.47)   Money Wheel (p.49)     Clear the Board

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.

Area (4th)

• • Decomposing Irregular Figures 

  • Soccer Party 

  • MLC Math at Home problem solving & games

Place Value (5th Q1)

• • Place Value Memory 

  • Rounding Decimals to the Nearest Hundredth

  • 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.

Place Value & Decimals              Decimal Money Puzzles