Lesson Notes By Weeks and Term v5 - Grade 5

Lesson Video

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For class groups and homework, share this lesson page so learners also get the summary, objectives, and full lesson context.

Performance objectives

• Convert fractions (denominators 10, 100) to decimals and back.
• Compare and order decimals up to two decimal places.
• Solve word problems using decimals.
• Represent decimals on a number line.

Lesson summary

This week, we're diving deeper into the fascinating relationship between fractions and decimals. Understanding fractions and decimals is incredibly important, not just in the classroom, but in your everyday lives in South Africa. Think about sharing a pizza with your friends (fractions!), figuring out the cost of sweets at the tuck shop (decimals!), or measuring ingredients for a delicious koeksister recipe. These concepts are fundamental to many everyday tasks and essential for future mathematical success. This week, we'll focus on converting between fractions and decimals, comparing them, and applying them to solve real-world problems.

Lesson notes

What are Fractions? A fraction represents a part of a whole.

It consists of two parts: the numerator (the number on top) and the denominator (the number on the bottom). The denominator tells us how many equal parts the whole is divided into, and the numerator tells us how many of those parts we have. For example, in the fraction 3/4, the whole is divided into 4 equal parts, and we have 3 of those parts. What are Decimal Fractions? Decimal fractions are fractions where the denominator is a power of 10 (10, 100, 1000, etc.). They are written using a decimal point. The digits to the right of the decimal point represent fractions with denominators of 10, 100, 1000, and so on. Converting Fractions to Decimals (Denominators of 10 and 100)

Fractions with a denominator of 10: The digit in the tenths place is the same as the numerator.

Example: 7/10 = 0.7 (Seven tenths)

Fractions with a denominator of 100: The digits in the tenths and hundredths places are the same as the numerator.

Example: 35/100 = 0.35 (Thirty-five hundredths) Converting Decimals to Fractions (Denominators of 10 and 100) Decimal with one digit after the decimal point: The numerator is the digit after the decimal point, and the denominator is

1

0. Example: 0.4 = 4/10 (Four tenths) Decimal with two digits after the decimal point: The numerator is the digits after the decimal point, and the denominator is

1

0

0. Example: 0.62 = 62/100 (Sixty-two hundredths)