Book 4: N28 Fractions
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The document discusses fractions and dividing quantities into groups. It provides examples of dividing 12 balls into 2 and 4 equal groups, with there being 6 balls in each of the 2 groups and 3 balls in each of the 4 groups. It also gives examples of calculating 3/4 of 12 and 3/8 of 16 by dividing the quantities by the denominator of the fraction.
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This session focuses on the use of the bar model to solve a range of problems. The presenter modelled a range of teacher behaviour to help students acquire the competencies that they are supposed to by engaging in word problems. It was presented at the Indianapolis conference. We hope not too many people were not able to get a seat at the session. If you were not able to gain entry to the session, please accept our apologies.
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The document discusses factors and multiples of numbers. It explains that a factor is an exact divisor of a number that leaves no remainder, while a multiple is the result of multiplying a number by its factors. Some key points covered include:
- 1 is a factor of every number
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The document explains how to read fractions on a standard ruler by examining the line heights. It states that the number of sections created when lines are drawn determines the denominator, and the numerators are counted by odd numbers. Going through examples of exposing different sets of lines, it shows that the denominators are 2, 4, 8, and 16 as more lines are added, with the corresponding odd numerators filling in the fractions.
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This document discusses helping verbs and provides examples. Helping verbs help express the action or state of being of the main verb. Commonly used helping verbs include forms of be, do, have, and modal verbs. When a main verb is paired with a helping verb, they form a verb phrase that conveys the tense, aspect, or mood of the action or state.
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The document provides step-by-step instructions for folding a sheet of paper into a ruler and using it to learn how to read fractions as measurements. It explains how to reduce fractions to their simplest form, identify line lengths on a ruler that correspond to common fractions, and use a ruler to measure distances and express them in inches or feet. A short quiz at the end tests the reader's ability to read measurements on a ruler.
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3. Fractions can be proper if the numerator is less than the denominator, or improper if the numerator is greater than the denominator. Improper fractions can be converted to mixed numbers.
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The document explains how to read fractions on a standard ruler by examining the lines and their spacing. It shows how each half inch section is divided into smaller sections, with the number of new sections determining the denominator. It emphasizes counting by odd numbers for the numerators. Through examples of exposing different line sections, it teaches how to identify the denominators and numerators based on the number and closeness of lines.
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Book 4: N28 Fractions
- 1. Fractions N28 12 balls are divided into 2 groups. There are 6 balls in each group. Half of 12 is 6. We write ½ of 12 = 6 We work 12 ÷ 2 = 6
- 2. How many in each group? 12 balls are divided into 4 groups. There are 3 balls in each group. One quarter of 12 is 3. We write ¼of 12 = 3 We work 12 ÷ 4 = 3
- 3. More examples: Pay attention! Example 1: ¾ of 12 = 9 12 ÷ 4 = 3 3x3=9 Example 2: ⅜ of 16 = 6 16 ÷ 8 = 2 2x3=6