"2 Truths and a Lie" Error Analysis Math Activities



In this post you'll find "2 truths and a lie" math activities, each with error analysis questions built right in. Every activity is set up the same way-- find the error (the "lie") on each card, then correct the error on the student answer sheet. Students get practice identifying math errors in the context of different math topics, and then with fixing those errors.


"2 Truths and a Lie" Integer Operations Review Error Analysis Activity


Here is the first card from an integer operations "2 truths and a lie" error analysis activity. There are 3 integer operations problems on the card, along with 3 statements comparing the answers. Students solve the 3 problems then figure out which statement is the "lie". Students then fix the lie on their answer sheet.


"2 Truths and a Lie" Slope Error Analysis Activity


For this slope "2 truths and a lie", students are presented with a graph, a table and a pair of coordinates, as well as 3 statements about each representation's slope. Students need to figure out which of the 3 statements is the lie, then correct that lie on their answer sheet.


"2 Truths and a Lie" Key Features of Quadratic Graphs Error Analysis Activity


Students identify incorrect statements about zeros, vertex, axis of symmetry, and/or y-intercept in this key features of quadratic graphs "2 truths and a lie". All functions in the activity are factorable.



"2 truths and a lie" error analysis activities:


























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Free math resource library
Free math resource library




Fun Exponent Rules Activities

Fun Exponent Rules Activities

Are you getting ready to teach the laws of exponents and are looking for a few fun exponent rules activities? In this post I want to share the way I have taught patterns of exponents to arrive at 1, 0, negative and fraction exponents, as well as a few printable and digital exponent rules activities.


exponent rules pattern 3 to the 4th through 3 to the first powers


I like to start with a pattern that students will recognize to address common
misconceptions about 1 and 0 exponents. Here, we're dividing by 3 each time. What number will we arrive at for 3 to the first power?


exponent rules pattern 3 to the first and 3 to the zero power


From there, we can continue dividing to find 3 to the zero power.


exponent rules pattern 3 to the zero power and 3 to the -1 power


Students tend to believe that negative exponents will create negatives, so continuing the pattern to 3 to the -1 power helps them arrive at 1/3.


exponent rules pattern 3 to the -1 power


Once students are comfortable with negative exponents creating fractions, they can continue the pattern. What will 3 to the -2 be? For more on negative exponents, there is a video here showing negative exponents visually.


fraction exponents

Fractional exponents, or rational exponents, are tricky to conceptualize. I wrote a blog post here on fraction exponents.


If you are teaching exponent rules soon, here are a few fun activities:


Exponent Rules Activities


exponent rules "2 truths and a lie" error analysis activity

This new exponent rules "2 truths and a lie" error analysis activity  tests students' understanding of exponent rules. Students identify incorrect statements when presented with expressions with exponents and their simplified forms. Students are then asked to fix each error on their answer sheets. 


exponent rules digital math escape room activity

Next is an exponent rules digital math escape room activity. Students must unlock 5 locks through simplifying 20 expressions with the product rule, the quotient rule, the power rule, the power of a fraction rule, the zero exponent rule and the negative exponent rule. Questions are grouped 4 per puzzle, resulting in five 4-letter codes that will unlock all 5 locks.


"This is a great activity for students to practice their knowledge of exponents. It is self checking and able to be done independently or in groups. Students were very engaged." — Elizabeth E.


exponent rules digital math escape room {with evaluating}

For a similar activity to the one above, just with evaluating, this exponent rules digital math escape room {with evaluating} asks students for their knowledge of exponent rules and then with evaluating their expressions. 


"This activity was engaging and helpful for students to gain understanding with properties of exponents". — Chelsie S.


exponent rules math pennant activity

For a fun activity that doubles as classroom décor, this exponent rules math pennant activity asks students to simply expressions using the laws of exponents. Students can color their final pennants to make a colorful classroom display.


"My students loved this resource as a way to display their understanding! It was also a beautiful way to display student work within the classroom! Win win!" — Haley G. 



Browse all exponent rules activities


Fun Activities for Building Data Literacy

In this post I want to share a few fun activities you can use in your classroom to teach data analysis.


Everywhere we look, there is data to interpret. There is data about sports, elections, health and trends in our society. Learning how to read and organize this data is important and empowering to students as they make their way through their education.


Before becoming a teacher, I worked in the environmental consulting field between leaky gas stations and the Department of Environmental Protection. Part of my job was to collect data from soil and water samples at gas stations, interpret this data and report on it. I learned at this job that data interpretation is more subjective than I had thought. For example, dropping one more monitoring well into the groundwater upstream from a leaking tank will drop the overall average of the amount of gasoline in the groundwater at a leaky gas station. I lasted 3 years in that field before making the move to teaching. It wasn't for me.


And then there's the difference between mean and median when it comes to home prices and pay. Often the median is given in these situations so that outliers don't throw off the data making the numbers appear greater than they are. Interpreting this data and talking about the differences makes for interesting classroom discussion.


In this post I want to share a few fun activities you can use in your classroom to teach data analysis.


mean, median, mode and range digital math escape room activity puzzle #1

The first is a mean, median, mode and range digital math escape room activity. Students must unlock 5 locks by finding mean, median, mode and range in 5 sets of data. Questions are grouped 4 per puzzle, resulting in five 4-letter codes that will unlock all 5 locks.


mean, median, mode and range digital math escape room activity printable PDF version

This one also comes in a black and white printable version in the same file if you'd like your students to work on paper.


box and whiskers vocabulary sort

Next is a box and whiskers vocabulary sort where students sort 18 vocabulary terms onto the box plot for median, outlier, upper extreme, lower extreme, quartiles and interquartile range (I.Q.R.), then identify mean, mode and range given the box plot's data.  

Many professions require some level of data literacy. Whether in STEM fields, business, healthcare, social sciences, and even in the arts, the ability to work with data is an increasingly valuable skill for students to learn.


two way tables digital math escape room activity

Data presented as real-world problems encourages students to apply their problem solving skills and build insights into the data. This two way tables digital math escape room activity gives students practice analyzing and evaluating the data presented in two way tables. Students find missing table values, answer "and" and "or" questions and calculate percentages represented by the data in this activity. A printable version is also included.


mean, median, mode and range math pennant activity

Next is a mean, median, mode and range math pennant activity that doubles as classroom décor when students finish the activity. Students find mean, median, mode and range given either 5, 6, 7, 8, 9, or 10 single and double-digit numbers of data. Some answers require rounding.


stock market project

Students follow a stock for a week, calculate the daily and weekly percent change in price, estimate a line of fit for their scatter plot, find the slope and equation of their line of fit and write a final analysis of their data in this stock market project. Above is my student Sam's final project and written analysis of the data he collected. We did this project in our algebra class to cover percent change. It's also a nice project for a consumer math class.


probability digital math escape room activity

In this probability digital math escape room activity, student figure out the simple or compound probability in 20 scenarios. Students find the probability of either one or two events in each question. Questions are grouped 4 per puzzle, resulting in five 4-letter codes that will unlock all 5 locks. 


"2 truths and a lie" error analysis activity for probability card 8

If you're looking for probability activities, I just recently made a "2 truths and a lie" error analysis activity for probability. Students have to figure out which of the 3 statements is wrong (the "lie") and correct the lie on their answer sheet.


data math pennant activity

Students analyze different depictions of data to find mean, median, mode, range, totals and percentages in this data math pennant activity. Data is presented in tables, line plots, line graphs, bar graphs, histograms, box and whiskers plots, pie chars and sets of numbers. Students can hang their finished pennants to show what they know as part of your classroom décor.


line plots digital math escape room puzzle #1

And lastly, this line plots digital math escape room comes in both self-checking digital in Google Forms and in black and white printable PDF. It asks students to analyze and answer questions about the data shown in each line plot.



Browse all data activities


Finding Percent of a Number Cheat Sheet

Finding Percent of a Number Cheat Sheet

Knowing how to calculate the percentage of a number is pretty much the basis of consumer math. This skill comes up when calculating interest, tips at restaurants, discounts from coupons, tax on purchased items and with budgeting. It's such a simple but important skill for students to learn and really become comfortable with before graduation.


In this post, I want to share a finding percentage of a number handout for your students.


I recently posted a cheat sheet on Facebook and got a comment about another cheat sheet I had shared some time ago in our consumer math Facebook group. It's a sheet showing students how to find a percentage of a number by dividing by 2 to find 50%, dividing by 4 to find 25%, etc. I had completely forgotten to ever share the sheet here on my blog, so wanted to write this short post sharing it from my Google Drive.


Finding Percent of a Number Cheat Sheet


After sharing the sheet in the Facebook group, I got feedback to add 1% to the sheet. So when you download it, how to find 1% will also be there.


>> You can download the finding percentage of a number sheet here from my Google Drive.


Percent activities


tax, tip and discounts digital math escape room activity
Percent Tax, Tip, Discount Digital Math Escape Room

Students unlock 5 locks by finding percents in this tax, tip and discounts digital math escape room activity. The activity comes digital in Google Forms and printable PDF.


converting fraction, decimal percent digital math escape room activity
Converting Fractions, Decimals, Percents Digital Math Escape Room

This converting fraction, decimal percent digital math escape room activity has students converting the different forms: fractions to decimals, decimals to percents, percents to decimals, decimals to fractions and fractions to percents.


percent change task cards activity
Percent Change Task Cards Activity

This percent change task cards activity sparks a lot of conversations about how prices have changed over the years. Students calculate and compare percent change between past and present costs of items.


percent change coloring activity sheet
Percent Change Coloring Sheet

Students practice finding percent change on this 1-page percent change coloring activity sheet.




  



2 Pi Day digital math escape room activities

Today is Pi Day so I wanted to share a couple digital activity ideas. Both also come in print, if you prefer having your students work on paper. 


Pi Day Digital Math Escape Room Activity for middle school

The first is a Pi Day digital math escape room for middle school where students find either the area or the circumference of a circle, given diameter or radius. Students calculate their answers then type the correct 4-letter code to move to the next puzzle. 


Pi Day Digital Math Escape Room Activity

The next is a Pi Day digital math escape room for older kids. In some of the problems, students are asked to find the diameter or radius, given circumference or area. The correct 4-letter code will unlock the next puzzle.


My husband forwarded the Morning Brew newsletter to me this morning with this absolutely astounding story about Akira Haraguchi memorizing 100,000 digits of pi. 100 digits would be impressive, but 100,000?! The short article mentions him "mentally linking each digit with a syllable and creating a collection of epic stories from the words those syllables formed."😲


Browse all Pi Day math activities


Browse all digital math escape rooms



How many folds to reach the Moon?



You probably already know that if you could fold a piece of paper 42 times the stack would reach the Moon. This always feels so unbelievable, but the math checks out! In this post, I want to share a couple handouts for students to support a discussion about exponential growth, folding paper to reach the Moon and also a few conversation starters.


Free Printable Multiplication Poster



Last summer, my daughter worked hard to learn her multiplication facts. Some facts she memorized, some she used strategies such as building on the facts that she already knew. For example, she adds one more number to her 11s to get to 12s. For 8 x 12, she multiplies 8 x 11 and adds 8. This was a multiplication strategy she completely taught herself.


Teaching Budgeting in High School Consumer Math

Teaching Budgets in High School Consumer Math

Teaching the ins and outs of budgeting was one of my favorite units to teach in Consumer Math. It started with us calculating net monthly income and ended with us commenting on how much we all spend on food. It was a fun unit to teach because it gave students the tools to analyze their own spending and how it aligned with their future goals.


In our wages and salary unit, we learned that net monthly income is about 70% of gross monthly income. We often used this net income estimation when budgeting.


budgets warm up - Scaffolded Consumer Math Curriculum