Counting by addition is a way to systematically count and add numbers in order to find the total. This method is especially useful when working with a series of numbers or when trying to find the sum of a set of numbers.

Steps for Counting by Addition

Identify the numbers: Determine the numbers that need to be added together.
Start with the first number: Begin by writing down the first number in the series.
Add the next number: Add the next number in the series to the total obtained from the previous step.
Continue adding: Repeat the process of adding the next number in the series until all the numbers have been added.
Find the total: Once all the numbers have been added, the final total is the sum of all the numbers in the series.

Example:

Let's say we have to add the numbers 3, 5, 7, and 10 together.

Start with the first number: 3
Add the next number: 3 + 5 = 8
Add the next number: 8 + 7 = 15
Add the next number: 15 + 10 = 25

So, the total sum of 3, 5, 7, and 10 is 25.

Study Guide

When counting by addition, it's important to follow the steps and keep track of the numbers being added. Here are some key points to remember:

Start with the first number in the series.
Add the next number to the running total.
Continue this process until all numbers have been added.
The final total is the sum of all the numbers in the series.

Practice counting by addition with different sets of numbers to strengthen your skills. It's a fundamental concept that will be helpful in various math problems and real-life situations.

◂Math Worksheets and Study Guides Fifth Grade. Subtracting Fractions

Study Guide

Subtracting Fractions

Worksheet/Answer key

Subtracting Fractions

Worksheet/Answer key

Subtracting Fractions

Worksheet/Answer key

Subtracting Fractions

Create And Print more Fractions worksheets with Comparing Fractions, Equivalent Fractions, and Simplifying Fractions

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Compute fluently and make reasonable estimates.

Use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Connections to the Grade 5 Focal Points (NCTM)

Algebra: Students use patterns, models, and relationships as contexts for writing and solving simple equations and inequalities. They create graphs of simple equations. They explore prime and composite numbers and discover concepts related to the addition and subtraction of fractions as they use factors and multiples, including applications of common factors and common multiples. They develop an understanding of the order of operations and use it for all operations.