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Learn to carry and borrow with pictures!
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Math Mammoth Add & Subtract 2-B - within 0-100.

In Math Mammoth Add & Subtract 2-B, the student adds and subtracts mentally and in columns within 0-100. The emphasis is on learning how to carry when adding in columns, and how to borrow when subtracting in columns. These concepts are explained in detail visually, including lots of picture exercises.

This book is a continuation to the book Add & Subtract 2-A.

The book starts with mental math - adding and subtracting whole tens. Then come lessons about adding in columns - first with easy numbers without carrying, and then carrying, which is illustrated and explained in detail with the help of pictures.

After column-adding comes a section of mental adding once again. In it, the child adds a single-digit number to a 2-digit number, but this time the sum goes over the next ten. This concept is studied with pictures, and comparing it to the addition of single-digit numbers.

The next lessons teach subtracting in columns. First we only look at the easy problems where you don't need to regroup (or borrow).

The next lessons practice in detail the process of borrowing or regrouping. You can use either term with your child, or even choose not to use either if you feel it is confusing. It is good enough to just talk about 'breaking a ten into ten ones'.

First, the lesson Regrouping practices breaking down a ten into ten ones in cases where there aren't enough ones to do the subtraction. It is crucial that the child understands what happens here. Otherwise, he/she might end up learning the borrowing procedure only as a memorized algorithm and will probably at some point misremember how it was done. That is why this lesson is dealing with the regrouping process in detail with lots of picture exercises.

After learning regrouping or borrowing, we practice mental subtraction with three lessons. One of them expounds on several methods for mental subtracting. Another is about Euclid's game - a fun game that also practices subtraction.


The video below shows a similar idea as to what is in the book about regrouping (borrowing).


Subtraction with regrouping (YouTube video)

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By purchasing any of the books, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.

In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.

  • Navigate by topic
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The books listed below are from the Blue Series (worktexts by topic) and the Green Series (worksheet collections by topic). If you are looking for full curriculum by grade, or for workbooks/worksheets by grade level, please click on the "Navigate by grade" tab.

Addition & Subtraction

Addition 1 worktext (grade 1)
Subtraction 1 worktext (grade 1)
Add & Subtract 2-A worktext (grades 1-2)
Add & Subtract 2-B worktext (grade 2)
Add & Subtract 3 worktext (grades 2-3)
Add & Subtract 4 worktext (grades 3-4)

Place Value

Place Value 1 worktext (grade 1)
Place Value 2 worktext (grade 2)
Place Value 3 worktext (grade 3)
Place Value 4 worktext (grade 4)
Place Value 5 worktext (grades 5-6)

Multiplication & Division

Multiplication 1 worktext (grade 3)
Division 1 worktext (grade 3)
Multiplication 2 worktext (grade 4)
Division 2 worktext (grade 4)
Multiplication Division 3 worktext (grade 5)
Multiplication & Division worksheets (grades 3-6)
Numbers & Operations worksheets (grades 3-6)

Clock and Money

Clock worktext (grades 1-3)
U.S. Money worktext (grades 1-3)
Canadian Money worktext (grades 1-3)
British Money worktext (years 2-4)
European Money worktext (grades 1-3)

Measuring

Measuring 1 worktext (grades 1-3)
Measuring 2 worktext (grades 4-5)
Metric Measuring worktext (grades 1-4)
Measuring worksheets (grades 3-6)

Fractions

Introduction to Fractions worktext (grades 2-4)
Fractions 1 worktext (grades 5-6)
Fractions 2 worktext (grades 5-6)
Fractions & Decimals 3 worktext (grade 6)
Fractions worksheets (grades 3-6)

Decimals

Decimals 1 worktext (grades 4-5)
Decimals 2 worktext (grades 5-6)
Fractions & Decimals 3 worktext (grade 6)
Decimals worksheets (grades 3-6)

Geometry

Early Geometry worktext (grades 1-3)
Geometry 1 worktext (grades 4-5)
Geometry 2 worktext (grades 6-7)
Geometry worksheets (grades 3-7)

Ratio, Proportions, Percent & algebraic thinking

The Four Operations (with a Touch of Algebra)
  worktext (grades 5-6)
Ratios & Proportions & Problem Solving
  worktext (grades 5-6)
Percent worktext (grades 6-8)
Ratio, Proportion & Percent worksheets (grades 5-7)

Other topics

Integers worksheets (grades 5-6)
Statistics worksheets (grades 4-7)

Make It Real Learning

States by the Numbers series (grades 3-6)

Arithmetic I (grades 3-6)
Fractions, Percents, and Decimals I (grades 4-8)
Fractions, Percents, and Decimals II (grades 4-8)
Sets, Probability, and Statistics I (grades 6-10)
Linear Functions I (grades 9, 11)
Linear Functions II (grade 11)
Quadratic Functions I (grades 9, 11)
Exponential & Logarithmic Functions I (grades 11-12)
Periodic & Piecewise Functions I (grades 11-12)
Polynomial, Power, Logistic & Rational Functions I (grades 11-12)
Calculus I (grade 12)

Math Teaching Emails


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