Illustrative Mathematics (2024)


Tags:Financial Literacy

Alignments to Content Standards:7.RP.A.3

Task

Inflation is a term used to describe how prices rise over time. The rise in prices is in relation to the amount of money you have. The table below shows the rise in the price of bread over time:

YEARCost of 1 lb. of BreadPercent Increase
1930\$0.09N/A
1940\$0.10
1950\$0.12
1960\$0.23
1970\$0.25
1980\$0.50
1990\$0.75
2000\$1.99
2010\$2.99

For the price in each decade, determine what the increase is as a percent of the price in the previous decade. Is the percent increase steady over time?

Under President Roosevelt, the Fair Labor Standards Act introduced the nation's first minimum wage of \$0.25 an hour in 1938. The table shows the rise in minimum wage over time:

YEARFederal Minimum WagePercent Increase
1930NoneN/A
1940\$0.30N/A
1950\$0.75
1960\$1.00
1970\$1.60
1980\$3.10
1990\$3.80
2000\$5.15
2010\$7.25
http://www.census.gov/compendia/statab/2012/tables/12s0652.pdf))

For hourly wage in each decade, determine what the increase is as a percent of the hourly wage in the previous decade. Is the percent increase steady over time?

Consumers are not affected by inflation when the amount of money they make increases proportionately with the increase in prices. Complete the last column of the table below to show what percentage of an hour's pay a pound of bread costs:

YEARCost of 1 lb. of BreadFederal Minimum WagePercentage Cost
1930\$0.09None
1940\$0.10\$0.30
1950\$0.12\$0.75
1960\$0.23\$1.00
1970\$0.25\$1.60
1980\$0.50\$3.10
1990\$0.75\$3.80
2000\$1.99\$5.15
2010\$2.99\$7.25

In which decade were people who earn minimum wage most affected by inflation? Explain.

IM Commentary

The purpose of this task is for students to calculate the percent increase and relative cost in a real-world context. Inflation, one of the big ideas in economics, is the rise in price of goods and services over time. This is considered in relation to the amount of money you have.

This task is part of a set collaboratively developed with Money as You Learn, an initiative of the President’s Advisory Council on Financial Capability. Integrating essential financial literacy concepts into the teaching of the Common Core State Standards can strengthen teaching of the Common Core and expose students to knowledge and skills they need to become financially capable young adults. A mapping of essential personal finance concepts and skills against the Common Core State Standards as well as additional tasks and texts will be available at http://www.moneyasyoulearn.org.

Solution

YEARCost of 1 lb. of BreadPercent Increase
1930$\$0.09$N/A
1940$\$0.10$$(0.10-0.09)/0.09\approx0.11$ or 11%
1950$\$0.12$20%
1960$\$0.23$92%
1970$\$0.25$9%
1980$\$0.50$100%
1990$\$0.75$50%
2000$\$1.99$165%
2010$\$2.99$50%

The price of bread increases each decade. However, some decades see a much larger percent increase than others.

YEARFederal Minimum WagePercent Increase
1930NoneN/A
1940$\$0.30$N/A
1950$\$0.75$$(0.75-0.30)/0.30=1.5$ or 150%
1960$\$1.00$33%
1970$\$1.60$60%
1980$\$3.10$94%
1990$\$3.80$23%
2000$\$5.15$36%
2010$\$7.25$41%

The federal minimum wage increased each decade. However, some decades see a much larger percent increase than others.

YEARCost of 1 lb. of BreadFederal Minimum WagePercentage Cost
1930$\$0.09$NoneN/A
1940$\$0.10$$\$0.30$$(0.10/0.30) \approx 0.33$ or 33%
1950$\$0.12$$\$0.75$16%
1960$\$0.23$$\$1.00$23%
1970$\$0.25$$\$1.60$16%
1980$\$0.50$$\$3.10$16%
1990$\$0.75$$\$3.80$20%
2000$\$1.99$$\$5.15$39%
2010$\$2.99$$\$7.25$41%

In 2010, consumers making minimum wage spent 41% of one hour’s wage on a pound of bread, which is the largest percent over the time span shown. The relative cost of a loaf of bread was quite low through the 1970s, 80s, and 90s, but looking at the percent increase of the cost of bread in the last three decades and comparing it with the percent increase in the minimum wage, we can see that the cost of bread was rising more quickly than the federal minimum wage.

The Price of Bread

Inflation is a term used to describe how prices rise over time. The rise in prices is in relation to the amount of money you have. The table below shows the rise in the price of bread over time:

YEARCost of 1 lb. of BreadPercent Increase
1930\$0.09N/A
1940\$0.10
1950\$0.12
1960\$0.23
1970\$0.25
1980\$0.50
1990\$0.75
2000\$1.99
2010\$2.99

For the price in each decade, determine what the increase is as a percent of the price in the previous decade. Is the percent increase steady over time?

Under President Roosevelt, the Fair Labor Standards Act introduced the nation's first minimum wage of \$0.25 an hour in 1938. The table shows the rise in minimum wage over time:

YEARFederal Minimum WagePercent Increase
1930NoneN/A
1940\$0.30N/A
1950\$0.75
1960\$1.00
1970\$1.60
1980\$3.10
1990\$3.80
2000\$5.15
2010\$7.25
http://www.census.gov/compendia/statab/2012/tables/12s0652.pdf))

For hourly wage in each decade, determine what the increase is as a percent of the hourly wage in the previous decade. Is the percent increase steady over time?

Consumers are not affected by inflation when the amount of money they make increases proportionately with the increase in prices. Complete the last column of the table below to show what percentage of an hour's pay a pound of bread costs:

YEARCost of 1 lb. of BreadFederal Minimum WagePercentage Cost
1930\$0.09None
1940\$0.10\$0.30
1950\$0.12\$0.75
1960\$0.23\$1.00
1970\$0.25\$1.60
1980\$0.50\$3.10
1990\$0.75\$3.80
2000\$1.99\$5.15
2010\$2.99\$7.25

In which decade were people who earn minimum wage most affected by inflation? Explain.

Illustrative Mathematics (2024)

FAQs

What are the criticisms of illustrative math? ›

SEVERE lack of practice for each skill. Lessons generally have 2-3 "activities" to introduce concepts with only 4-5 problems per lesson. As with many other options, you cover a lot of topics but do not get very deep into any of them really.

Does Illustrative Mathematics work? ›

Grounded in best practices for effective mathematics education: IM's rigorous, standards-aligned K-12 curricula are expert-authored and rooted in well-respected pedagogy and methodology, meeting all expectations for focus, coherence, rigor, mathematical practices, and usability, according to EdReports.

Is illustrative math common core? ›

This site organizes the standards across grade levels and provides example content, activities, or assessment items for some of the common core standards.

Does illustrative math have assessments? ›

All units have an end-of-unit assessment, with longer units including mid-unit assessments. The same instructional routines, math language routines, and supports found in IM 6–8 Math are in IM 6–8 Math Accelerated.

How long has illustrative math been around? ›

He started working on Illustrative Mathematics in 2011 as an initiative of the UA Institute for Mathematics & Education, which was funded in part by the Bill and Melinda Gates Foundation. “People wanted illustrations of the standards,” he remembered.

Is Zearn aligned with illustrative math? ›

Zearn Math's middle school digital lessons can be used to complement daily instruction with other high-quality instructional materials. All Grade 6-8 materials follow the scope and sequence of Illustrative Math and align with Eureka Math/EngageNY curriculum.

Who is the owner of Illustrative Mathematics? ›

Bill McCallum, co-founder of Illustrative Mathematics, is a University Distinguished…

Is illustrative math a non profit? ›

Illustrative Mathematics has operated as an independent 501(c)3 non-profit organization since 2013. We appreciate the generous support of our Philanthropic Supporters: The Bill & Melinda Gates Foundation.

What does PLC mean in illustrative math? ›

Goal Setting in PLCs to Strengthen Classroom Math Communities. Professional Learning Community (PLC) meetings present the perfect opportunity for teachers to reflect on their practices and devise a plan to continue building joyful class communities where all students are knowers and doers of math.

What is the cost of illustrative math? ›

IM K–12 Math is an open educational resource (OER), which means it's free and available for anyone to use under a Creative Commons (CC BY) license.

What states don t use Common Core math? ›

The four states that never adopted the Standards are Virginia, Texas, Alaska, and Nebraska. The four states who have successfully withdrawn from the curriculum are Arizona, Oklahoma, Indiana, and South Carolina.

What's the hardest math class? ›

The most difficult math courses I have encountered thus far have included advanced calculus, abstract algebra, and topology (and they will generally only continue to get more challenging each semester).

What is the most widely used math curriculum? ›

Eureka Math is EngageNY Math

The curriculum has since become a top-rated and widely used math curriculum nationally. The curriculum is available for free download on the Great Minds website, along with essential support resources suitable for parents and anyone teaching EngageNY Math or Eureka Math.

What are the drawbacks of mathematical Modelling? ›

Challenges and Limitations of Mathematical Modeling

In some cases, data may be scarce or unreliable. Assumption Sensitivity: Models are built on assumptions, and their results can be highly sensitive to these assumptions. Small changes in assumptions can lead to significantly different outcomes.

What are the cons of touch math? ›

Limited problem-solving skills: Touch math may not encourage students to think critically and creatively about math problems, which can limit their ability to solve math problems on their own and may lead to a lack of problem-solving skills.

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