How Did You Spend Your Summer Daze?

This lesson plan asks students to record how they spend the hours of a typical summer day. They will then write as fractions, decimals, and percents and then compose a circle graph. A "concentration" game is also included for easy differentiation. The plan could be used as a lesson or as an assessment.

Standards & Objectives

Academic standards
CCSS.Math.Content.6.NS.A.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction...
CCSS.Math.Content.6.NS.C.5
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature...
CCSS.Math.Content.6.NS.C.7
Understand ordering and absolute value of rational numbers.
CCSS.Math.Content.6.SP.A.1
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For...
CCSS.Math.Content.6.SP.B.4
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
CCSS.Math.Content.6.SP.B.5
Summarize numerical data sets in relation to their context, such as by:
CCSS.Math.Content.7.EE.B.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and...
CCSS.Math.Content.7.NS.A.1
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a...
CCSS.Math.Content.7.NS.A.2
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
CCSS.Math.Content.7.NS.A.3
Solve real-world and mathematical problems involving the four operations with rational numbers.1
CCSS.Math.Content.7.SP.A.1
Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a...
CCSS.Math.Content.7.SP.A.2
Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or...
CCSS.Math.Content.7.SP.B.3
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the...
CCSS.Math.Content.7.SP.B.4
Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two...
CCSS.Math.Content.8.EE.A.2
Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number....
CCSS.Math.Content.8.NS.A.1
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational...
GLE 0506.5.1
Make, record, display and interpret data and graphs that include whole numbers, decimals, and fractions.
GLE 0606.1.6
Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely.
GLE 0606.2.1
Understand and explain the procedures for multiplication and division of fractions, mixed numbers, and decimals.
GLE 0606.2.2
Solve multi-step mathematical, contextual and verbal problems using fractions, mixed numbers, and decimals.
GLE 0606.2.4
Understand and convert between fraction, decimal, and percent forms of rational numbers.
GLE 0606.2.5
Develop meaning for integers; represent and compare quantities with integers.
GLE 0606.5.2
Interpret representations of data from surveys and polls, and describe sample bias and how data representations can be misleading.
GLE 0706.1.2
Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution.
GLE 0706.1.5
Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions.
GLE 0706.1.8
Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and...
GLE 0706.2.1
Extend understandings of addition, subtraction, multiplication and division to integers.
GLE 0706.2.2
Understand and work with the properties of and operations on the system of rational numbers.
GLE 0706.2.5
Understand and work with squares, cubes, square roots and cube roots.
GLE 0706.5.1
Collect, organize, and analyze both single- and two-variable data.
GLE 0706.5.2
Select, create, and use appropriate graphical representations of data.
GLE 0706.5.3
Formulate questions and design studies to collect data about a characteristic shared by two populations, or different characteristics within one population.
GLE 0706.5.4
Use descriptive statistics to summarize and compare data.
GLE 0806.2.1
Extend understanding of the real number system to include irrational numbers.
SPI 0606.1.1
Make conjectures and predictions based on data.
SPI 0606.2.1
Solve problems involving the multiplication and division of fractions.
SPI 0606.2.2
Solve problems involving the addition, subtraction, multiplication, and division of mixed numbers.
SPI 0606.2.4
Solve multi-step arithmetic problems using fractions, mixed numbers, and decimals.
SPI 0606.2.7
Locate positive rational numbers on the number line.
SPI 0606.2.8
Locate integers on the number line.
SPI 0606.5.3
Determine whether or not a sample is biased.
SPI 0706.2.1
Simplify numerical expressions involving rational numbers.
SPI 0706.2.3
Use rational numbers and roots of perfect squares/cubes to solve contextual problems.
SPI 0706.2.5
Solve contextual problems that involve operations with integers.
SPI 0706.5.2
Select suitable graph types (such as bar graphs, histograms, line graphs, circle graphs, box-and-whisker plots, and stem-and-leaf plots) and use them to create...
SPI 0706.5.3
Calculate and interpret the mean, median, upper-quartile, lower-quartile, and interquartile range of a set of data.
SPI 0806.2.2
Identify numbers and square roots as rational or irrational.
TSS.Math.6.NS.A.1
Interpret and compute quotients of fractions, and solve contextual problems involving division of fractions by fractions (e.g., using visual fraction models...
TSS.Math.6.NS.C.5
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below...
TSS.Math.6.NS.C.7
Understand ordering and absolute value of rational numbers.
TSS.Math.6.SP.A.1
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example,...
TSS.Math.6.SP.B.4
Display a single set of numerical data using dot plots (line plots), box plots, pie charts and stem plots.
TSS.Math.6.SP.B.5
Summarize numerical data sets in relation to their context.
TSS.Math.7.EE.B.3
Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers presented in any form (whole numbers, fractions, and...
TSS.Math.7.NS.A.1
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a...
TSS.Math.7.NS.A.2
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
TSS.Math.7.NS.A.3
Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for...
TSS.Math.7.SP.A.1
Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population...
TSS.Math.7.SP.A.2
Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated...
TSS.Math.7.SP.B.3
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers...
TSS.Math.7.SP.B.4
Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.
TSS.Math.8.EE.A.2
Use square root and cube root symbols to represent solutions to equations of the form x 2 = p and x 3 = p, where p is a positive rational number. Evaluate...
TSS.Math.8.NS.A.1
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show...
 
Alignment of this item to academic standards is based on recommendations from content creators, resource curators, and visitors to this website. It is the responsibility of each educator to verify that the materials are appropriate for your content area, aligned to current academic standards, and will be beneficial to your specific students.
 
Learning objectives: 

Students will:

  • Practice writing hours per day as a fraction of a day in lowest terms.
  • Calculate a decimal from a fraction.
  • Calculate a percent from a decimal.
  • Calculate the number of degrees of a pie chart that each of their activities should be allotted.
  • Create a pie chart using their calculations and a protractor.
  • Practice conversions between fractions, decimals and percents in a game setting.
Essential and guiding questions: 
  • What information does the pie chart give us very quickly?
  • What other way could we have displayed the same information?
  • What is the advantage of presenting your data in a pie chart?

Lesson Variations

Blooms taxonomy level: 
Applying
Extension suggestions: 
  • This activity can be changed from a typical summer day to an actual school day or other specific day. This allows for the activity to be done later in the year. You may also have students keep track of the amount of time they spend on each activity for a day so they could create a more realistic or accurate chart.
  • Combine all data from a class into one large pie chart. Students can then compare how much time they spend on an activity compared to the entire class.

Helpful Hints

Materials:

  • Protractor
  • Coffee filters or similar circular objects
  • Colored markers, pencils, or crayons
  • Black markers
  • Computers or tablets with Internet connection
  • How I Spent My Summer Daze Activity Sheet 

References

Contributors: