Decimals - Halves and Quarters - Worksheet

The worksheet titled "Halves and Quarters 4" is designed to help children consolidate their understanding of halves and quarters through a series of reasoning tasks. The primary objective is for students to express the fractions 1/2, 1/4, and 3/4 as decimals. To aid in this conversion, learners are encouraged to use concrete and pictorial representations, such as rekenrek beads. The worksheet also prompts students to draw upon their knowledge of equivalent fractions, guiding them to express these fractions as hundredths before converting them into halves or quarters. Additionally, the worksheet provides a variety of numbers from which the children can choose to practice determining halves and quarters using rekenrek beads, further reinforcing their understanding of tenths.

In the "Fluency & Precision" section of the worksheet, the children are presented with a rekenrek that has 100 beads. They are tasked with identifying the number of red and white beads, given that half of the beads are red and the other half are white. This visual representation helps them to understand that 1/2 is equivalent to 50/100, and as a decimal, it is expressed as 0.5. Moreover, the worksheet challenges students to consider a rekenrek divided into four equal groups, thereby exploring the concept of quarters. The learners must determine the fraction represented by three out of the four groups and convert this into a decimal. The worksheet offers multiple choice answers to reinforce the correct decimal representation of quarters, such as 1/4 being equivalent to 0.25. The task not only focuses on fluency and precision but also on problem-solving skills, as students are encouraged to correct mistakes made by fictional characters in their conversion of fractions to decimals, thereby deepening their understanding of the relationship between fractions, decimals, and percentages.