Y4: Fractions Including Decimals

This lesson plan provides a hands-on activity to help children understand and recognize decimal equivalents of tenths and hundredths using Place Value Grid and number cards. The activity aims to teach children how to represent fractions as decimals and understand the value of digits in decimal numbers.

This educational resource focuses on helping children recognize and write decimal equivalents of tenths and hundredths. The core activity utilizes a number Slider Activity Sheet and number cards to visually represent decimal values. The resource emphasizes the importance of correct pronunciation of decimal numbers, stating, "When saying numbers with 2-decimal places, ensure your child is pronouncing the number correctly. For example, 0.31 is pronounced ‘zero point three one’, not ‘zero point thirty-one’." The activity begins by having children physically divide a piece of paper into ten equal parts to understand tenths, explaining, "Each small piece of paper is 1/10 of the whole paper." The resource then introduces the place Value Grid, demonstrating how to represent whole numbers and tenths, noting, "To divide a number by 10, move it one column to the right. This column in the place Value Grid represents tenths." Children are then asked to represent various tenths using the number cards and the place Value Grid. The activity progresses to hundredths, explaining, "The hundredths column is a whole number divided into 100 equal parts. 2/100 can be written as a decimal 0.02." The resource further explains the relationship between dividing by 10 and 100 and the movement of digits in the place Value Grid: "When dividing a number by 10 the digits are moved one column to the right. To divide a number by 100, the digits are moved two columns to the right." The resource concludes with questions to reinforce understanding, such as "What is the value of each digit in the grid?" and "How can you divide a number by 10? By 100?" The activities are designed to be interactive and hands-on, promoting a deeper understanding of decimal concepts.

This lesson plan provides a hands-on activity to help children understand the effect of dividing one- or two-digit numbers by 10 and 100, focusing on identifying the value of digits as ones, tenths, and hundredths. It utilizes a number slider to visually demonstrate the movement of digits and reinforce the concept of place value during division.

These activity sheets and their lesson plan aims to help children understand division by 10 and 100 by focusing on place value. The core activity involves creating and using a number slider to visualize how digits shift when dividing. The resource emphasizes that "dividing by 100 is the equivalent to dividing by 10 twice," and reminds users to "use zero as a place holder in the one’s column if necessary." The activity sheet provides problems for children to solve, reinforcing the concept that "the number gets smaller when dividing by 10 or 100." The resource defines key vocabulary such as "decimal point – a point or a dot which separates the whole number from a fractional part," "tenths – an object or quantity which is divided in to 10 equal parts," and "hundredths – an object or quantity which is divided in to 100 equal parts." The instructions detail how to construct the number slider from the provided template, advising to "print this onto card for sturdiness." Children are encouraged to "move the strip from left to right, encouraging them to consider the value of each digit in different windows." The resource explains that "when dividing a number by 10, each digit moves one place value column to the right," and "when dividing a number by 100, each digit moves two place value columns to the right." The activity sheet provides a table for recording answers, and the conclusion prompts discussion about the value of tenths and hundredths and how to use the slider for division.

This lesson plan provides a hands-on activity for children to learn about equivalent fractions and decimals, using diagrams and cards to visually represent the relationship between them. The activity aims to help children understand how fractions can be written as decimals and vice versa, and the importance of place value in decimal representation.

These activity sheets and their lesson plan focus on teaching children about equivalent fractions and decimals, aligning with curriculum standards Ma4/2.4e and Ma4/2.4f. The activity utilizes diagrams and cards to aid in understanding. "Your child will use diagrams to support them in identifying equivalent fractions and decimals." Key vocabulary includes "Decimal point – a point or a dot which separates the whole number from a fractional part," "Tenths – an object or quantity which is divided in to 10 equal parts," "Hundredths – an object or quantity which is divided in to 100 equal parts," and "Equivalent – being equal to something or the same as." The resource provides "Fraction And Decimal Cards" to be printed and cut out for matching equivalent numbers. The activity involves placing the cards face up and encouraging the child to consider the place value of digits: "In the decimal number, which column are the digits in? Tenths? Hundredths?" and to identify the numerator and denominator of the fraction. "Which part of the fraction is the numerator? This digit will be written in the fraction." The activity sheet supports visual representation of equivalent fractions and decimals. The resource concludes by prompting discussion on how fractions can be written as decimals and vice versa, what the numbers in a fraction represent, and the importance of correct digit placement in decimals: "Why is it important to place the digits in the correct position in a decimal?"

This lesson plan provides a hands-on activity for children to learn how to compare decimal numbers with one and two decimal places using greater than (>) and less than (<) symbols. It includes resources, instructions, and activities to help children understand the value of digits in decimal numbers and order them correctly.

The lesson plan and accompanying activity sheets are designed for comparing decimals, focuses on helping children understand and use the > and < symbols to compare numbers with one and two decimal places. The activity emphasizes the importance of correct pronunciation, noting that "0.31 is pronounced ‘zero point three one’, not ‘zero point thirty-one’." The resource pack includes "Decimal Number Cards," a "Comparing Numbers Template," and a "Comparing Numbers Activity Sheet," along with scissors and a pencil. The "Comparing Numbers Template can be used to support your child in developing the concept of comparing numbers" by providing a visual aid. The activity begins by introducing the> and < symbols and explaining their meaning. Children are then guided to "look at two Decimal Number Cards, each with only one decimal place," and identify the value of each digit. The suggested strategy involves comparing the whole number part first, then the tenths, and finally the hundredths. "Beginning with the numbers with one decimal place, turn the cards upside down and invite your child to choose two of them and place them on the Comparing Numbers Template and place the correct symbol between." As understanding grows, cards with two decimal places are introduced. The "Comparing Decimals Activity Sheet" provides tasks such as comparing decimals using> and < symbols, identifying the largest and smallest numbers, and ordering numbers. The resource concludes by prompting discussion on how to identify the largest and smallest numbers and which digit to look at first when comparing.

This lesson plan provides a hands-on activity for children to understand decimal numbers and their relationship to fractions using a number line. It aims to help children recognize, write, order, and round decimals, as well as understand decimal equivalents of fractions like tenths, hundredths, ¼, ½, and ¾.

The LP and activity sheets provide a practical activity for children to learn about decimal numbers and their relationship to fractions. The activity utilizes a number line to help children "recognise and write decimal equivalents of any number of tenths or hundredths" and "recognise and write decimal equivalents to ¼; ½; ¾." Furthermore, it aims to teach children to "round decimals with 1 decimal place to the nearest whole number." The activity involves creating a number line on a long piece of paper, dividing it into 10 equal parts, and using fraction and decimal number cards. These cards "show tenths written as fractions and their equivalent decimals." Children can use the number line and cards in several ways, including identifying missing numbers, ordering numbers with decimals, and rounding numbers. For rounding, the resource explains that "to round a decimal number to the nearest whole number, look at the tenths digit. If this digit is 4 or less, round down. If this number is 5 or more, round up." Another activity involves placing both fraction and decimal cards on the number line to visually demonstrate that "1/10 is the same as 0.1, and that 2/10 are the same as 0.2." Finally, the resource encourages using the number line and cards as a "visual aid to support them" while completing problems on the Decimal Number Line Activity Sheet. The resource also suggests discussing the value of digits and how to determine the correct order of number cards by looking at the tenths digit.