Students will be able to compare and combine decimal fractions (i.e., add fractions with denominators of 10 and 100), write a fraction with a denominator of 10 or 100 as a decimal, understand decimal notation, and compare decimals to the hundredths.

suggested pacing  2-3 weeks

Teacher Tips:

• Use money to help students make decimal and fraction connections (with tenths and hundredths)

• Students will work in tenths and hundredths place values only.

sample pretest

Essential Learning Outcomes (ELO)

∎Students will understand decimal notation and use that knowledge to compare decimals and fractions. 4.NF.C.6   4.NF.C.7  SMP.2     SMP.4    SMP.5     SMP.7 

∎Students will understand decimal notation and use that knowledge to compare decimal fractions.  4.NF.C.5   SMP.2    SMP.4    SMP.5     SMP.7 

Learning targets

• • I can express a fraction with denominator 10 as an equivalent fraction with denominator 100. 4.NF.C.5

  • I can add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.         4. NF.C.5

  • I can use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram. 4.NF.C.6

  • I can identify the tenths and hundredths place. 4.NF.C.6

  • I can compare two decimals to hundredths by reasoning about their size. 4.NF.C.7

  • I can record the results of comparisons of decimals with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model. 4.NF.C.7

∎ Major Content           ⊡ Supporting Content           🌕 Additional Content

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

4th 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  (Review)

  partial products / distribute  1x3-digit 

  friendly number 1 x 3-digit

  break apart factors  1 x 2-digit

  over and adjust  over&adjust 1&2-digit  

  double and half  1 x 3 digit

Division Strategies  (Main focus)

  multiplying up    multiples of ten      1-digit divisor 

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

interpret remainder   Whole #s & interpret remainder

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

comparison   using 1 whole   

MUST DO/Core Resources:  

Ready Teacher Toolbox        Lesson 26: Relate Decimals and Fractions-Sessions 1-4 

Assessment Tasks  4.NF.C.6     Frayer Model Assessment           Proficiency Rubrics 4.NF.C.6                IAR sample questions

CAN DO/Additional Resources:

Math in Practice: 4.NF.C. 5,6,7    Module 10     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 26 What's the Cost    

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

3.NF.3     Number line Madness    Comparing Fractions Game

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 4th grade math.

Fractions- Compare & Equivalent (3rd)

• Equivalent Find 

• Comparing Fractions 

Area (4th  Q4)

• Perimeter Game

• 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.

Division multi-digit