## Number & Operations in Base Ten – 4th Grade

**Use place value understanding and properties of operations to perform multi-digit arithmetic.**

CCSS.Math.Content.4.NBT.B.4

Fluently add and subtract multi-digit whole numbers using the standard algorithm

**Teacher Notes**

The teacher needs to continue talk about and use place value in describing and justifying the processes students use to add and subtract. Reenforcing place value by saying, "we are taking a one out of the hundreds and are regrouping into the ten's place value, and one hundred is ten tens..." Understanding regrouping rather than just moving through the algorithm is essential.

Understanding how addition and subtraction algorithms relate to previously learned strategies and models and how using a standard algorithm is an abstract way to show the concrete concept of adding and subtracting is an important connection for students to make.

**Student Knowledge Goals**

I know basic subtraction facts.

I know how to add with regrouping.

I know how to subtract with regrouping.

I understand how the base ten system works.

Students should be able to explain how and why the standard algorithm for addition and subtraction works.

I can check my answer for reasonableness.

**Vocabulary**

algorithm

difference

inverse operation

regrouping

standard algorithm

subtraction

sum

**Lessons**

Engage NY Module 1 D-11 – Use place value understanding to fluently add multi-digit whole numbers using the standard addition algorithm and apply the algorithm to solve word problems using tape diagrams.

Engage NY Module 1 D-12 – Solve multi-step word problems using the standard addition algorithm modeled with tape diagrams and assess the reasonableness of answers using rounding.

Engage NY Module 1 E-13 - Use place value understanding to decompose to smaller units once using the standard subtraction algorithm and apply the algorithm to solve word problems using tape diagrams.

Engage NY Module 1 E-14 - Use place value understanding to decompose to smaller units up to 3 times using the standard subtraction algorithm, and apply the algorithm to solve word problems using tape diagrams.

Engage NY Module 1 E-15 - Use place value understanding to fluently decompose to smaller units multiple times in any place using the standard subtraction algorithm, and apply the algorithm to solve word problems using tape diagrams.

Engage NY Module 1 E-16 - Solve two-step word problems using the standard subtraction algorithm fluently modeled with tape diagrams and assess the reasonableness of answers using rounding.

**Student Video Lessons**

Study Jams - Adding & Subtracting

Study Jams – Adding

Study Jams – Subtracting

Virtual Nerd - Adding & Subtracting

**Online Problems, Games, and Assessments
**Khan Academy – Questions and Video Lessons

Add Numbers up to Millions

Add Numbers up to Millions: Word Problems

Addition: Fill in the Missing Digits

Add 3 or More Numbers up to Millions

Choose Numbers with a Particular Sum

Subtract Numbers up to Millions

Subtract Numbers up to Millions: Word Problems

Subtraction: Fill in the Missing digits

Choose Numbers with a Particular Difference

**Printables**

Addition and Subtraction - Single & Multi-Digit

Addition

Subtraction