Mathematics Grade 6 15 min

Subtraction with pictures

Subtraction with pictures

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1

Introduction & Learning Objectives

Learning Objectives Visually represent whole numbers using various pictorial models. Perform subtraction by 'taking away' or 'crossing out' items in a pictorial representation. Demonstrate regrouping (borrowing) visually when subtracting numbers. Solve subtraction problems by interpreting and manipulating pictorial models. Explain the steps of subtraction using visual aids. Apply visual subtraction techniques to check their answers for numerical subtraction problems. Ever wondered if you could 'see' numbers disappear when you subtract? 🤔 Get ready to make subtraction come alive with drawings and diagrams! In this lesson, you'll learn how to use pictures to understand and solve subtraction problems. This visual approach helps solidify your...
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Key Concepts & Vocabulary

TermDefinitionExample SubtractionThe mathematical operation of finding the difference between two numbers, or 'taking away' one quantity from another.If you have 5 apples and eat 2, you perform subtraction to find that 3 apples are left. MinuendThe number from which another number is subtracted. It's the starting or total amount.In the problem 15 - 7 = 8, the minuend is 15. SubtrahendThe number that is being subtracted from the minuend. It's the amount being taken away.In the problem 15 - 7 = 8, the subtrahend is 7. DifferenceThe result obtained when one number is subtracted from another. It's how much is left or the gap between the two numbers.In the problem 15 - 7 = 8, the difference is 8. Visual RepresentationUsing drawings, diagrams, or physical objects to rep...
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Core Formulas

Rule of Representing the Minuend Always start by drawing or representing the total quantity (the minuend) using appropriate pictures or place value blocks. This rule ensures you have the correct starting amount visually before any subtraction takes place. For example, for 34, draw 3 'tens sticks' and 4 'ones blocks'. Rule of 'Taking Away' the Subtrahend To subtract, visually 'take away' or 'cross out' the quantity of the subtrahend from your represented minuend. This is the core action of subtraction. If you need to subtract 5, cross out 5 of the drawn items. Ensure you cross out from the smallest place value first. Rule of Visual Regrouping If you don't have enough items in a specific place value column to subtrac...

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Sample Practice Questions

Challenging
A student correctly solves several problems by regrouping 1 ten into 10 ones, and 1 hundred into 10 tens. Based on these visual examples, what general rule can be synthesized about the relationship between adjacent place values in our number system?
A.Each place value is two times greater than the one to its right.
B.Each place value is ten times greater than the one to its right.
C.Each place value is one hundred times greater than the one to its right.
D.The relationship changes depending on the numbers being subtracted.
Challenging
Without drawing the full picture, determine the minimum number of visual 'regrouping' actions (exchanging a larger block for 10 smaller ones) required to solve 4002 - 1538.
A.1
B.2
C.3
D.4
Challenging
A final picture after a subtraction problem is solved shows 2 hundreds flats, 8 tens rods, and 7 ones blocks. The subtrahend was represented by 1 hundred flat, 4 tens rods, and 5 ones blocks being crossed out. What was the original minuend, shown in its regrouped form, before anything was crossed out?
A.3 hundreds, 12 tens, 12 ones
B.4 hundreds, 3 tens, 2 ones
C.2 hundreds, 8 tens, 7 ones
D.4 hundreds, 2 tens, 12 ones

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