Teacher Tips
Explore multi-digit division with 1-digit divisors using strategies such as partial quotient that relate multiplication to division (algorithmic long division is not taught to mastery until 6th grade)
Students will need to make sense of remainders
Students learn that repeated subtraction helps to divide multi-digit numbers.
∎Students will reason abstractly and quantitatively while using place value understanding and properties of operations to perform whole number multi-digit arithmetic. 4.OA.3 4. NBT.6 SMP.2 SMP.3 SMP.4 SMP.5 SMP.6 SMP.7
I can use estimation, including rounding, to assess the reasonableness of answers. 4.OA.A.3
I can represent multi-step division whole number word problems with models, pictures, and equations (two equations can be used in place of an equation with two operations). 4.OA.A.3
I can make equations for multiplication and division problems using a letter representing the unknown number. 4.OA.A.3
I can solve multi-step multiplication whole number word problems. 4.OA.A.3
I can divide up to four digit dividends by one digit divisors with or without remainders using strategies. 4.NBT.B.6
I can interpret the remainder when needed. 4.NBT.B.6
∎ Major Content ⊡ Supporting Content 🌕 Additional Content
Math Vocabulary in Spanish and English
factor multiple array area model
prime composite product remainder dividend
quotient divisor equation traditional/standard algorithm
4th grade number talk guide printable & 3-5th grade number talks
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 (Main focus)
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 (Review)
use multiplication/known facts Math Flips basic facts division
Fraction Strategies (work on Fractions at least one day a week)
comparison Using ½
I can use estimation, including rounding, to assess the reasonableness of answers. 4.OA.A.3
I can represent multi-step division whole number word problems with models, pictures, and equations (two equations can be used in place of an equation with two operations). 4.OA.A.3
I can make equations for multiplication and division problems using a letter representing the unknown number. 4.OA.A.3
I can solve multi-step multiplication whole number word problems. 4.OA.A.3
Ready Teacher Toolbox Lesson 10: Model and Solve Multi-step Problems-Sessions 1-4
Assessment Tasks 4.OA.3 Frayer Model Assessment Proficiency Rubrics 4.OA.3 IAR sample questions
Math in Practice: 4.OA.A3 Modules 6 & 15 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 10 Silver Coins
Ready Teacher Toolbox Lesson 14: Divide Three-digit Numbers-Sessions 1-4
Lesson 15: Divide Four-digit Numbers-Sessions 1-3
Assessment Tasks 4. NBT.6 Frayer Model Assessment Proficiency Rubrics 4. NBT.6 IAR sample questions
Math in Practice: 4.NBT.B.6 Module 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 14 Packing Boxes & Lesson 15 Number Strips
“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
3 OA 7 Mastering the Basic Math Facts Mult/Div on fluency tab
Division Duel Page 32 Four Quotients Page 35
Nearpod Math lessons
These are activities to give students mixed, spaced practice based on the big ideas for 4th grade math.
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.