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Monitoring Addition Strategies Record Sheet

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Subtraction with Regrouping Using Manipulatives

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This Multiplying Fractions and Converting Improper Fractions to Mixed Numbers lesson workbook includes an example IEP goal, 16 step-by-step math lessons, a review and assessment. This evidence-based math intervention is tied to fourth grade standards and is great for special education math goals and tier 2 small group math interventions (RTI).

Step-by-Step Math to Mastery™ resources:
✰ Make math easier to understand.

Help students over math hurdles with clear, sequential, scaffolded lessons.

Prevent overwhelm. Build student confidence.

✰ Make math easier to teach.

Save hours of planning and piecing together materials.

Paraeducators can deliver quality instruction independently. Open & teach.

This step-by-step workbook will help your students learn to discriminate between when to multiply fractions vs. add/subtract and how to recognize when the answer can be changed to a mixed or whole number. By the end of these lessons, students will be solving word problems involving multiplying a fraction by a whole number.
Included:
★ Student Booklet Cover

★ 4 Lessons on Multiplying Proper Fractions

★ 3 Lessons on Creating Fractions Equal to 1

★ 4 Lessons on Converting Improper Fractions to Mixed and Whole Numbers

★ 4 Lessons on Multiplying a Fraction and a Whole Number

★ 1 Lesson on Word Problems

★ 1 Review

★ 1 Test

★ Full Answer Key

★ Version for Older Students Without Decorative Clip Art
Please download the preview for more details.
✎ Each lesson is presented in model, guided practice, independent practice format.

✎ Step-by-step task analysis is included next to each model.

✎ Easy to use. Print and teach.
Students will be able to:
* Multiply proper fractions

* Construct fractions equal to 1

* Find fractions greater than 1

* Rewrite fractions as mixed numbers

* Rewrite whole numbers as fractions

* Multiply a fraction by a whole number

* Multiply and then convert answers to mixed or whole numbers

* Solve word problems

Note: This product does NOT include detailed scripted lesson plans-only the short and simple lessons as shown in the preview. Please look at the preview carefully and ask me any questions you have before you buy.
Middle School and High School Special Education Math Teachers:
This now includes a version with no decorative clip art at the top of pages or on the student booklet cover. Everything else is exactly the same, but you won't need to worry about whether the clip art might be too young for your students.
Teacher Feedback:
❤️ "This resource is so perfect for teaching students with learning disabilities. It scaffolds the steps, sets a good pace, and provides repeated practice." -Sandra J K.

❤️ "This was a well-paced and put-together resource to help me in teaching my resource students! Thank you for the time and effort put into this!" -Nicole M.

❤️ "I love these materials. I have purchased most of the materials because it just makes the learning more structured for those who are struggling. They are able to feel successful before moving on!" -Tracey M.

❤️ " Helped concepts make sense to a student with severe dyscalculia." -Stephanie M.

❤️ "This is a wonderful resource! It helps that the I Can statement appears at the top of each page! I use this in my self-contained classroom for students who are not yet able to perform on grade level. I researched for too long before finally finding this resource and I am NOT disappointed! Thank you for this!" -Jennifer M.

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Bundle and Save! This product can also be found in these bundles:

* Fourth Grade Math Bundle

* Fraction Bundle

* Complete Bundle of ALL Step-by-Step Math Workbooks

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Fraction Resources
★ Fractions, Basic Concepts

★ Representing Fractions (on a number line)

★ Add and Subtract Fractions with Like Denominators

★ Multiply Fractions and Convert to Mixed Numbers

★ Equivalent Fractions

★ Add and Subtract Unlike Fractions

★ Dividing Fractions

★ Simplify Fractions
Math Resources Bundled by Grade Level:
* First Grade Math Bundle

* Second Grade Math Bundle

* Third Grade Math Bundle

* Fourth Grade Math Bundle

* Fifth Grade Math Bundle
Math Resources Bundled by Topic:
* Place Value and Number Sense Bundle

* Addition Bundle

* Subtraction Bundle

* Multi-Digit Addition and Subtraction Bundle

* Multiplication Bundle

* Division Bundle

* Fraction Bundle

* Decimal Bundle
Not sure where to start? Download a free placement test.
You may also find this blog post helpful:
How to Use Step-by-Step Math to Mastery Resources Reasons You'll Love Step-by-Step Math to Mastery™ Resources

Boosts student confidence and progress

Lightens teacher workload

Time-saving: print and teach

Easy prep: only black ink is needed

Easy to teach, paraeducator-friendly

Example IEP goals and shorter term objectives

Consistent & predictable format

Lots of practice repetitions

Scaffolded with structured workspaces

Fewer problems on a page, white space, minimal visual clutter

Tied to standards

Explicit/Direct instruction

Systematic & sequential

Mastery approach--teaching one topic at a time, one strategy at a time

Lessons have "I Can" statements, model problems, guided practice, & independent practice

Each workbook can be used individually as a stand-alone intervention for that skill or they can be used together, taking students from the basics of number sense and addition in first grade all the way to dividing fractions and decimals in fifth grade.

Can also be used with older students (middle & high school) to help fill the gaps in their learning.

About the Author
Hi! I am a Special Education & Title 1 teacher interested in task analysis. My resources break tasks into small and explicit steps, reducing cognitive load for learners so they can feel successful and confident rather than overwhelmed and reluctant to try. I also strive to lighten the workload of teachers by making resources as practical and easy-to-use as possible. I sincerely hope my work can benefit you and your students.

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Copyright © Angela Dansie, All rights reserved. This product is to be used by the original purchaser for single class use only. You may not put this product on the internet where it could be publicly found and downloaded. Copying for more than one teacher, classroom, department, school, or school system is prohibited. If you want to share this resource with colleagues, please purchase additional licenses. Failure to comply is a copyright infringement and a violation of the Digital Millennium Copyright Act (DMCA). Clipart and elements found in this PDF are copyrighted and cannot be extracted and used outside of this file without permission or license. Intended for classroom and personal use only.

A reorganized edition of Step-by-Step Math to Mastery ™ is now available. While this version is still great, you might like to see the new edition, it's right here.

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Multiplying Fractions by Whole Numbers | Word Problems, Mixed Numbers, SpEd Math

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This Multiplying Fractions and Converting Improper Fractions to Mixed Numbers lesson workbook includes an example IEP goal, 16 step-by-step math lessons, a review and assessment. This evidence-based math intervention is tied to fourth grade standards and is great for special education math g...

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How to Teach Math Effectively Using the Concrete Representational Abstract Model

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WHAT IS THE CONCRETE REPRESENTATIONAL ABSTRACT MODEL? The CRA Model is an instructional approach for teaching math. It consists of three phases: Concrete Representational Abstract In the concrete phase, we focus on using hands-on manipulatives. Students should

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Download Article

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Long multiplication can seem very intimidating, especially if you're multiplying two numbers that are pretty large. If you take it step by step, though, you'll be able to do long multiplication in no time. Get ready to ace those math quizzes by going to Step 1 below to get started.

1. Write the larger number above the smaller number. Let's say you're going to multiply 756 and 32. Write 756 above 32, making sure that the ones and tens columns of both numbers line up, so that the 6 from 756 is above the 2 in 32 and the 5 in 756 is above the 3 in 32, and so on. This will make it easier for you to visualize the long multiplication process.

You will essentially begin by multiplying the 2 in 32 by each of the numbers in 756, and then multiplying the 3 in 32 by each of the numbers in 756. But let's not get ahead of ourselves.

The "bigger" number means the one with the most digits (numbers).

2. Check your answer with a calculator. If you want to double check your work, type in the problem into a calculator to see if you've done it correctly. You should get 756 times 32 equals 24,192. You're all done!

Add up the two products. Now, just add up 3250 and 650. You can do this using the good old fashioned addition method. Just write 3250 over 650 and do all the work. You'll get 3,900. Really, this is similar to doing the standard long multiplication, but splitting up a number into ones and tens allows you to do a bit more of the math in your head and to avoid multiplying and carrying too much. Either method will yield the same results, and it all depends on which one works more quickly for you.

Thanks for submitting a tip for review!

wikiHow is a "wiki," similar to Wikipedia, which means that many of our articles are co-written by multiple authors. To create this article, 124 people, some anonymous, worked to edit and improve it over time. This article has been viewed 1,951,425 times.

Updated: November 13, 2021

To do long multiplication quickly, start by splitting up the tens and ones place in the smaller number. For example, if the number was 12, you would end up with 10 and 2. Next, multiply the bigger number by both the tens number and the ones number. Finally, add the 2 products together to get your final answer. To learn how to write out a long multiplication problem by hand, keep reading!

Thanks to all authors for creating a page that has been read 1,951,425 times.

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Long multiplication can seem very intimidating, especially if you're multiplying two numbers that are pretty large. If you take it step by step, though, you'll be able to do long multiplication in no time. Get ready to ace those math...

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Teachers, A Fun & Easy Way To Learn Decimals & Manipulatives: Grades 5, 6,& 7 Math!!! CRA Model Math

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Fifth Grade Review Task Cards!

Are you running out of resources and looking for authentic review questions that don't bore your students to death? Here are 106 task cards that cover all of the assessed fifth grade Texas standards!!! What more could you ask for? These are perfect for review before the STAAR test, continued practice after the test, a resource for tutoring or intervention kids, homework assignments, spiral questions, etc.

What's in the download?
106 task cards!!
4 to 5 task cards for every readiness standard.
2 to 3 task cards for every supporting standard.
All questions are multiple choice as to align to the STAAR test.
The standard that the question is aligned to is on the bottom of each card.
Recording sheet for students to answer questions on.
Answer key for student self-check or teacher quick check
Standards aligned sheet to easily record questions/standards missed for small group intervention or re-teach purposes.

Just simply print, preferably in color, cut, laminate and shuffle cards. Have your students complete the cards at a center and check answers independently. Keep them intact and assign for homework. Project them on your smart board and complete as a class.

If you like this product please leave feedback and don't forget to hit that follow button for up-to-date resources!

Below are some products specific to fifth grade:
BUNDLE! Area, Perimeter, Volume Task Cards
Dividing Fractions BUNDLE 112 task cards and sheets
Classifying 2D Figures in Hierarchy Task Cards
FREEBIE Guess Who 2D Shapes
Quotable Quadrilaterals Geometry Activity
Classifying 2D Shapes in Hierarchy Sheets
5th grade Personal Finance Task Cards
Problem Solving with Measurement Task Cards
5th grade Decimal Bundle

Stop on by my blog to see what's happening too!
My Blog

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NEW! Fifth Grade Review ALL MATH STANDARDS 106 Task Cards! STAAR Test Prep

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Fifth Grade Review Task Cards! Are you running out of resources and looking for authentic review questions that don't bore your students to death? Here are 106 task cards that cover all of the assessed fifth grade Texas standards!!! What more could you ask for? These are perfect for review before t...

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Here is a Youtube video by Math Antics that covers Negative Numbers on a Number Line.

Summary

Negative numbers are on the left side of 0 on the number line. The negative numbers are a mirrored image of the numbers on the right side of 0 on the number line ( positive numbers). Hence this portion of the number line is called the negative number line.

0 is the special number that separates the positive numbers from the negative numbers.

When you start from 0 on the number line and move to the right, the numbers get larger as you move along. We label all of the natural numbers along the way.

However, when you move in the opposite direction (start from 0 on the number line and move to the left), the numbers get smaller as you move along.

These exact rules apply to the negative side of the number line.

The numbers get larger as you move to the right and get smaller as you move to the left.

For example, since −3 is on the left side of −2, it is actually smaller than −2. We can write this with an inequality: −3<−2.

On the positive side of the number line, 3 is more positive than 2, so 3 is larger.

However, on the negative side of the number line, −3 is more negative than −2, so −3 is smaller.

Now, try an example problem.

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Negatives on the Number Line - Visualization & Examples - Expii

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Negative numbers are placed to the left of zero on the number line.

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Consider a situation where you buy 24 cans of water bottles at $\$$3.99. How would you find the price of one can? By dividing $\$$3.99 by 24! Dividing decimals is very much like dividing whole numbers. You just have to understand where the decimal point must be placed. Let's explore the process of dividing decimals in more detail. But before that, let's understand what decimals are.

What Is a Decimal Number?

A decimal number is a number that has a whole number part and the fractional part separated by a dot. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.

In the decimal number 17.48, 17 is the whole number part and 48 is known as the decimal part or fractional part.

How to Divide Decimals?

Dividing Decimal numbers is similar to dividing whole numbers. We just have to take care of the correct position of the decimal point. Let's discuss three different examples related to division of decimals.

Dividing Decimals Examples

Take a look at the following examples.

Example 1: Dividing $\$$25.5 dollars among 5 friends.

Examples 2: Dividing the decimal 1.21 by the decimal number 1.1

Example 3: Dividing the decimal number 23.56 by 1000.

So, we can see that there can be three types:

Dividing decimals by whole numbers.

Division of a decimal number by another decimal number.

Division of decimals by 10, 100, and 1000.

Dividing Decimals by Whole Numbers

Let's understand dividing decimals by whole numbers through an example.

Consider 120.6 24.

The following are the steps to divide 120.6 by 24:

The dividend is the number that is getting divided and the divisor is the number that divides the dividend. Here, 120.6 is the dividend and 24 is the divisor.

So, $120.6 24 = 5.025$

Dividing a Decimal Number by Another Decimal Number

Let's understand dividing decimals by another decimal number using an example. Let's divide 4.88 by 0.4. Here, 4.88 is the dividend and 0.4 is the divisor.

The following are the steps he will use for the division:

Step 1: Since we already know how to divide a decimal number by a whole number, convert the divisor into a whole number. In this example, we convert 0.4 into 4 by moving the decimal point one position to the right. In this example, 0.4 will become 4.

Step 2: Move the decimal point in the dividend the same number of places as in the divisor. Moving the decimal point one position to the right in 4.88 gives 48.8.

Step 3: Now divide the decimal number 48.8 by the whole number 4. This is equivalent to dividing the decimal 4.88 by 0.4.

Dividing Decimals by 10, 100, and 1000

The division of a decimal number by 10, 100, and 1000 is quite simple. Let's discuss each type.

Division by 10

Consider $82.5 \div 10$.

Dividing a decimal by 10 simply changes the position of the decimal point one place to the left.

$8251010=82510110=825100=8.25$

Division by 100

Consider $98.6 \div 100$.

Dividing the decimal number by 100 shifts the decimal point two positions to the left.

Also, $98610100=986101100=9861000=0.986$

Division by 1000

Consider $8.725 \div 1000$.

Now since the decimal number is divided by 1000, the decimal point will shift three places towards the left in the quotient.

Also, $872510001000=8725100011000=87251000000=0.008725$

Fun Facts

While dividing a decimal number by a whole number or by another decimal number, there are cases when we end up with a remainder of 0. Such decimal numbers are called Terminating Decimals.

For example: $62.35 \div 5 = 12.47$

However, there can also be a case when the remainder never becomes 0 and the long division process goes on. Such decimal numbers are called Non-terminating Decimals.

Non-terminating decimals can be of two types:

a. Recurring/Repeating decimals like 0.2666666666 . . .

b. Non-recurring/Non-repeating decimals like 1.7320508 . . .

Solved Examples
1. Divide 67.25 by 10.
Solution: On dividing 67.25 by 10, we shift the decimal point one position to the left.

We get

$67.25 \div 10 = 6.725$.
2. If the total weight of 3 oatmeal cookies is 31.5 grams, then what will be the total weight of 5 oatmeal cookies?
Solution: Total weight of 3 oatmeal cookies $= 31.5$ g

Weight of 1 oatmeal cookie $= 31.5 \div 3 = 10.5$ g

Total weight of 5 oatmeal cookies $= 10.5 \times 5 = 52.5$ g
3. A wooden plank of length 3.5 feet is divided into small pieces of length 0.07 foot. How many small pieces will be formed?
Solution: Length of wooden plank $= 3.5$ feet

Length of each small piece $= 0.07$ feet

Since we are dividing the plank into small pieces of equal length, we divide 3.5 by 0.07.

Shift the decimal point two positions to the right in both 0.07 and 3.5 to perform the division.

Number of small pieces $= 3.5 \div 0.07$

$= 350 \div 7$

$= 50$
4. George has $24.5 of his monthly allowance left with him. He spends it over the course of a week such that his daily expenses stay the same. How much money does he spend every day?
Solution: Money George has with him $= $\$$24.5$

This amount is equally spent in a week or 7 days.

Amount spent by George every day $= 24.5 \div 7 = $\$$3.5$

5. Amanda made two trips to visit her parents. She drove 432.78 miles in total. How far did Amanda drive on each trip?
Solution: Total distance Amanda drove $= 432.78$ miles

Number of trips she took $= 2$

Distance traveled on each trip $= 432.78 \div 2 = 216.39$ miles

Practice Problems

Frequently Asked Questions

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How To Divide Decimals? Method, Examples, Facts

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Dividing Decimal numbers is similar to dividing whole numbers. We just have to take care of the correct position of the decimal point. Learn more at SplashLearn

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How to Divide a Decimal by a Decimal | Math with Mr. J