Learn how to add three-digit numbers using regrouping ("carrying") to move the tens (or hundreds or thousands) over to the next column. This is also known as the standard algorithm.

Content Standard(s):

Mathematics MA2019 (2019) Grade: 4

10. Use place value strategies to fluently add and subtract multi-digit whole numbers and connect strategies to the standard algorithm.

Unpacked Content

Evidence Of Student Attainment:

Students:

Use place value strategies and properties of operations to build procedural fluency and understanding of the standard algorithm for addition and subtraction.

Note: Expectations are limited to whole numbers within 1,000,000.

Teacher Vocabulary:

Addition

Subtraction

Standard algorithm

Place value

Decompose

Compose

Fluently

Multi-digit

Strategy

Difference

Sum

Knowledge:

Students know:

a variety of accurate and efficient strategies to find sums and differences and use them when appropriate.

Skills:

Students are able to:

Use place value strategies to add and subtract multi-digit numbers.

Use the standard algorithm for addition and subtraction and connect strategies to the standard algorithm.

Understanding:

Students understand that:

There are a variety of strategies, models, and representations for solving mathematical problems with addition and subtraction.

Efficient application of computation strategies is based on the numbers and operations in the problems.

The steps used in the standard algorithm for addition and subtraction can be justified by using the relationship between addition and subtraction and the understanding of place value.

Diverse Learning Needs:

Essential Skills:

Learning Objectives: M.4.10.1: Multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations.
M.4.10.2: Multiply single-digit numbers.
M.4.10.3: Recall basic multiplication facts.
M.4.10.4: Apply concepts of multiplication through the use of manipulatives, number stories, skip-counting arrays, area of a rectangle, or repeated addition.

Prior Knowledge Skills:

Define the commutative and associative properties of addition and subtraction.

Subtract within 100 using strategies and algorithms based on the relationship between addition and subtraction.

Subtract within 100 using strategies and algorithms based on properties of operations.

Subtract within 100 using strategies and algorithms based on place value.

Add within 100 using strategies and algorithms based on the relationship between addition and subtraction.

Add within 100 using strategies and algorithms based on properties of operations.

Add within 100 using strategies and algorithms based on place value.

Recall basic addition and subtraction facts.

Define regrouping, total, sum, difference and solve.

Add and subtract two two-digit numbers with and without regrouping.

Determine the value of the number in the ones, tens, hundreds and thousands place using concrete models or drawings and strategies based on place value.

Match the number in the ones, tens, hundreds and thousands position to a pictorial representation or manipulative of the value.

Model written method for recording horizontal and vertical addition and subtraction problems.

Represent two- and three-digit numbers with multiple models. Examples: models—base ten blocks, number lines, linking cubes, straw bundles.

Recall single-digit addition and subtraction facts.

Add and subtract within 20, e.g., by using objects or drawings to represent the problem.

Alabama Alternate Achievement Standards

AAS Standard: M.AAS.4.11 Add and subtract one and two-digit numbers up to 49 with regrouping using concrete manipulatives and visual models.

Tags:

addition, multidigit, regrouping, standard algorithm, subtract