ALEX Learning Activity

  

Fraction Equivalence: Let's Go Shopping

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  This learning activity provided by:  
Author: Samantha Wallace
System:Limestone County
School:Cedar Hill Elementary School
  General Activity Information  
Activity ID: 2576
Title:
Fraction Equivalence: Let's Go Shopping
Digital Tool/Resource:
Shopping Cart sheet
Web Address – URL:
Overview:

Students will go on a “shopping trip” to buy items with prices written both as decimals and fractions with 10 or 100 as the denominator.  After they have decided which five items to “buy,” they will calculate the total cost of their items by adding fractions with 10 and 100 as the denominator.  The students will use a visual model to represent the equivalence between fractions with different denominators.

 

This activity results from the ALEX Resource Development Summit.
  Associated Standards and Objectives  
Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 4
17. Express, model, and explain the equivalence between fractions with denominators of 10 and 100.

a. Use fraction equivalency to add two fractions with denominators of 10 and 100.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Express a fraction with denominator 10 as an equivalent fraction with denominator 100 and use this technique to find the sum of two fractions with respective denominators 10 and 100.
Teacher Vocabulary:
  • Equivalence
  • Denominator
  • Fraction model
  • Tenths
  • Hundredths
  • Sum
Knowledge:
Students know:
  • Strategies for generating equivalent fractions.
  • Strategies for adding fractions with like denominators.
Skills:
Students are able to:
  • Express a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100.
  • Use models to illustrate equivalency between fractions with denominators of 10 and 100.
  • Explain equivalency between fractions with denominators of 10 and 100.
  • Use equivalency to add two fractions with denominators of 10 and 100.
Understanding:
Students understand that:
  • equivalent fractions are fractions that represent equal value.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.4.17.1: Recognize equivalent forms of fractions and decimals.
M.4.17.2: Demonstrate equivalent fractions using concrete objects or pictorial representation.
M.4.17.3: Recognize pictorial representations of equivalent fractions and decimals in tenths and hundredths.
M.4.17.4: Define equivalency.
M.4.17.5: Identify place value of decimals to the tenths and hundredths.
M.4.17.6: Use place value understanding to round whole numbers to the nearest 10 or 100.

Prior Knowledge Skills:
  • Define equivalent.
  • Recognize pictorial representations of equivalent fractions.
  • Recognize different interpretations of fractions, including parts of a set or a collection, points on a number line, numbers that lie between two consecutive whole numbers, and lengths of segments on a ruler.
  • Recognize that equal shares of identical wholes need not have the same shape.
  • Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.
  • Label a fraction with multiple representations.
  • Partition circles and rectangles into two and four equal shares; and describe the shares using the words halves, fourths, and quarters; and use the phrases half of, fourth of, and quarter of.
  • Recognize different interpretations of fractions, including parts of a set or a collection, points on a number line, numbers that lie between two consecutive whole numbers, and lengths of segments on a ruler.
  • Label a pictorial representation.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.4.17 Model equivalence between fractions of a whole, halves and fourths using visual models.
Learning Objectives:

Students will be able to add fractions with denominators of 10 and 100 using models or by making equivalent fractions.
  Strategies, Preparations and Variations  
Phase:
During/Explore/Explain
Activity:

  • Before the lesson, set up the "store" by placing the items for sale around the room.

  • Explain that the students will be going on a shopping trip.  They will be able to “purchase” five items from around the room.  If they see something they would like to buy, they will write down the information for the item on their “Shopping Cart” sheet.

  • Before students begin shopping, model how to fill out the shopping cart sheet so that students know what information to record. Encourage students to browse a little first before choosing an item, because they only have five slots in their shopping cart.  You can also set some ground rules if you choose -- you can only buy an item once, you have to buy exactly five items, you have to buy one food/drink item, etc.

  • Allow students to walk around the room and shop, choosing items to buy and recording the fractional cost on their shopping cart sheet.  You may want to set a timer to help keep the students focused.

  • After students have finished shopping, they should return to their seat to calculate the total amount that they spent.  They can shade in the squares on the bottom of their sheet to help represent the equivalence between tenths and hundredths.

  • As students are working, ask them how much money each hundred-square grid represents.  How much does one square in the grid represent?  How much is one row or column? (Each grid is one dollar, the squares are one cent and the rows are ten cents.)

  • If time allows, figure out which student spent the most and which student spent the least.
Assessment Strategies:

Check for accuracy with the students’ shopping totals.  Observe to see if students are combining tenths and hundredths appropriately.  A common misconception to look for is that adding 2/10 and 4/100 will equal 6/10 or 6/100 instead of 24/100.
Advanced Preparation:

  • You will need to print and laminate the “Items for Sale” cards and place them around the room.  (You can print the cards two pages per sheet to conserve ink.  You can also use the digital version of the cards for distance learning.)

  • Each student will need a copy of the “Shopping Cart” sheet.
Variation Tips (optional):

  • You can change the pictures on the cards for sale to match what your students would want to buy.  

  • You can let students go on a second shopping trip and buy more than five items.

  • You can give students a challenge -- spend as close as you can to one dollar, spend less/more than their first trip, etc.
Notes or Recommendations (optional):

17. Express, model, and explain the equivalence between fractions with denominators of 10 and 100.
a. Use fraction equivalency to add two fractions with denominators of 10 and 100.
  Keywords and Search Tags  
Keywords and Search Tags: decimal, equivalent, fraction, hundredth, tenth