Introduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman

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1 Introduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman

2 hundredths tenths ones tens Decimal Art An Introduction to Decimals Directions: Part 1: Coloring Have children color in the hundreds chart completely using 3 colors. Part 2: Calculating Fractions Have children calculate the fraction that is equivalent to each color. For example if there are 32 squares colored yellow, then the yellow fraction would be. Have children generate a fraction number sentence with their 3 fractions. They should total which equals 1 whole. If their fractions do not total then they have a mistake that they should fix before moving on. Part 3: Introducing Decimals Discuss place value with students. Show place value chart on board with places including tens, ones, tenths and hundredths. Connect place And Connect decimals to something students are familiar with, money. Read the number with the class as 15 and 26 hundredths. Then read the number as 15 dollars and 26 cents. And, write the number as $15.26 Explain that 26 hundredths is the same as 26 cents. (Ask the children how many cents are in a dollar.) This is 26 cents out of 100 cents and are both read as 26 hundredths. Show several examples. Then have the children calculate the decimals that correspond to the fractions on their decimal art. NOTE: When converting fractions to decimals, make sure that the denominator of the fraction is in hundredths so that the decimal and the fraction both read as hundredths.

3 Part 4: Introducing Percents Percent means per one hundred. 32 percent (32%) means 32 per one hundred., which is the fraction. Read the fraction as 32 hundredths. Then read the fraction as 32 per 100. (Point to the division bar when you say per.) Do several examples. Write several fractions next to percents. Read the fractions and the percents. Have students calculate the percents that correspond to their fractions. (NOTE: Make sure that they are converting fractions that are per hundred, not fractions that are in simplest form.)

4 Color Fraction Decimal Equation:

5 Criteria: What do you need to do? 1. Color a hundreds chart using 3 colors 2. Calculate the fraction represented by each color. 3. Calculate the decimal represented by each color. 4. Write a number sentence that shows the total of all three fractions. Rubric I wrote 3 fractions that match my picture. I wrote 3 decimals that match my picture. I wrote a number sentence using fractions that matches my picture and totals 1 whole. I wrote 3 fractions that match my picture. I wrote 3 decimals that match my picture. I wrote at least 3 fractions or decimals that match my picture.

6 Color Fraction Simplest Form Decimal Equation:

7 Criteria: What do you need to do? 1) Color a hundreds chart using 3 colors 2) Calculate the fraction represented by each color. 3) Calculate the decimal represented by each color. 4) Write a number sentence that shows the total of all three fractions. Rubric 4 I wrote 3 fractions, in simplest form, that match my picture. I wrote 3 decimals that match my picture. I wrote a number sentence using fractions that matches my picture and totals 1 whole. 3 I wrote 3 fractions that match my picture. I wrote 3 decimals that match my picture. I wrote a number sentence using fractions that matches my picture and totals 1 whole. 2 I wrote 3 fractions or decimals that match my picture. 1

8 Color Fraction Simplest Form Decimal Percent Equation:

9 Criteria: What do you need to do? 1) Color a hundreds chart using 3 colors 2) Calculate the fraction, decimal, & percentage represented by each color. 3) Write a number sentence that shows the total of all three fractions. Rubric 4 I wrote 3 fractions, 3 decimals & 3 percentages that match my picture. My fractions are in simplest form. I wrote a number sentence using fractions that matches my picture and totals 1 whole. 3 I wrote 3 fractions, 3 decimals & 3 percentages that match my picture. I wrote a number sentence using fractions that matches my picture and totals 1 whole. 2 I wrote 5 fractions, decimals or percentages that match my picture. 1

10 California Common Core Standards for Mathematical Practice: Mathematical Practices: Model with mathematics. Use appropriate tools strategically. Grade 4 Number and Operations Fractions: Understand decimal notation for fractions, and compare decimal fractions. Extend understanding of fraction equivalence and ordering. 1. Explain why a fraction a/b is equivalent to a fraction (n a)/(n b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. 2. Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. Understand decimal notation for fractions, and compare decimal fractions. 6. Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram. Grade 5 Number and Operations in Base Ten: Understand the Place Value System 3. Read, write, and compare decimals to thousandths. a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., = (1/10) + 9 (1/100) + 2 (1/1000). b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. California Math Standards: Grade 3 NS 3.4 Know and understand that fractions and decimals are two different representations of the same concept (e.g., 50 cents is ½ a dollar, 75 cents is ¾ of a dollar). Grade 4 NS 1.0 Students understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions. Grade 5 NS 1.2 Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.

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