{"id":4492,"date":"2026-01-21T19:43:22","date_gmt":"2026-01-21T19:43:22","guid":{"rendered":"https:\/\/www.terc.edu\/adultnumeracycenter\/?page_id=4492"},"modified":"2026-02-02T15:12:47","modified_gmt":"2026-02-02T15:12:47","slug":"exploring-75","status":"publish","type":"page","link":"https:\/\/www.terc.edu\/adultnumeracycenter\/resources-for-teacher-growth-and-support\/learn-about-percents\/exploring-75\/","title":{"rendered":"Exploring 75%"},"content":{"rendered":"\n<h2 class=\"wp-block-heading is-style-highlight\"><strong>The Other Three Parts<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:75%\">\n<p class=\"has-medium-font-size\">On the previous page, you looked at a pizza where all that was left was 1\/4 or 25%.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">What part of this pizza&nbsp;<em>has been eaten<\/em>? Can you figure out a fraction and a percent to describe how much has been eaten?<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Because the picture shows four parts that are all the same size, each part is 1\/4 or 25%.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">There are three pieces missing, so the amount that is missing can be thought of as&nbsp; <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"209\" height=\"214\" src=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/image.jpeg\" alt=\"pizza divided into quarters. Only one quarter remains\" class=\"wp-image-4648\" style=\"width:269px;height:auto\"\/><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.34%\">\n<p class=\"has-text-align-right\" style=\"font-size:24px\"><strong>1\/4 + 1\/4 + 1\/4<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.34%\">\n<p class=\"has-text-align-center\" style=\"font-size:24px\">or <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p style=\"font-size:24px\"><strong>25% + 25% + 25%<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-medium-font-size\">When you have three pieces that are each 1\/4, you can write that as the fraction 3\/4 (three-fourths or three quarters).<\/p>\n\n\n\n<p class=\"has-medium-font-size\">When you add 25% + 25% + 25%, that comes to 75%.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>The amount of the pizza that has already been eaten is 3\/4 or 75%.<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Just as you explored different ways of writing fractions that are equal to 1\/2 and 1\/4, you can also write other fractions that are equal to 3\/4.&nbsp;<strong>Try using the model below to find a pattern in fractions that are equal to 3\/4<\/strong>. Remember that the numbers in the boxes tell you the size of the boxes and you can also look at the number line to see the sizes of the part and the whole. (On this model, you have to pull the orange dot a little farther to get it to move.)<\/p>\n\n\n\n<center>\n<iframe loading=\"lazy\" src=\"https:\/\/www.desmos.com\/calculator\/yujdltgozw?embed\" width=\"730px\" height=\"300px\" style=\"border: 1px solid #ccc\" frameborder=0><\/iframe>\n<\/center\n\n\n\n<div style=\"height:56px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-medium-font-size\">Here are some more fractions that are equal to 3\/4.&nbsp;<strong>Do they fit your pattern?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"564\" height=\"116\" src=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/fractionsequalto75_orig.jpg\" alt=\"Row of fractions equal to 3\/4 from left to right:\n45\/60, 300\/400, 34, 32, 120\/160, 36\/48\" class=\"wp-image-4653\" srcset=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/fractionsequalto75_orig.jpg 564w, https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/fractionsequalto75_orig-300x62.jpg 300w\" sizes=\"auto, (max-width: 564px) 100vw, 564px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-medium-font-size\">\u200b<strong>Try to write some other fractions that are equal to 3\/4 or 75%. How can you tell a fraction is equal to 75%?<\/strong> <a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/75percentfractions_v2_acc.docx\" target=\"_blank\" rel=\"noreferrer noopener\">(Click&nbsp;here&nbsp;for some explanation and some more examples of fractions that are equal to 75%.)&nbsp;<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading is-style-highlight\"><strong>More about 75%<\/strong><\/h2>\n\n\n\n<p class=\"has-medium-font-size\">On the previous web page, you explored the idea of 25%. Before further exploring 75%, here are some important ideas about 25% that are worth reviewing:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">25% of a number is the same as 1\/4 of that number.<\/li>\n\n\n\n<li class=\"has-medium-font-size\">You can find 25% of a number by dividing it by 4.<\/li>\n\n\n\n<li class=\"has-medium-font-size\">You can find 25% of a number by finding half (50%) of it and then finding half (50%) of the result.<\/li>\n\n\n\n<li class=\"has-medium-font-size\">25% of 100 is 25.<\/li>\n\n\n\n<li class=\"has-medium-font-size\">25% of $1.00 is 25 cents or $0.25.<\/li>\n\n\n\n<li class=\"has-medium-font-size\">If you take away 25% of something, what is left will be 75% because the whole thing is 100%.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Now let&#8217;s look at what 75% looks like. Use the model below to explore.&nbsp;<\/strong>In this model, you can drag the orange dot to change 75% and drag the black dot to change 100% (the whole). As you play with the model, think about how 75% is related to the other percents you have explored so far (50%, 25%, 100%). <\/p>\n\n\n\n<center>\n<iframe loading=\"lazy\" src=\"https:\/\/www.desmos.com\/calculator\/uyqy9s3vjd?embed\" width=\"730px\" height=\"300px\" style=\"border: 1px solid #ccc\" frameborder=0><\/iframe>\n<\/center>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group is-vertical is-layout-flex wp-container-core-group-is-layout-8cf370e7 wp-block-group-is-layout-flex\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<p class=\"has-medium-font-size\">Use the model to answer these questions:<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<ol class=\"wp-block-list\">\n<li class=\"has-medium-font-size\" style=\"font-style:normal;font-weight:700\">What is 75% of 120?<\/li>\n\n\n\n<li class=\"has-medium-font-size\" style=\"font-style:normal;font-weight:700\">What is the whole if 45 is 75%?<\/li>\n\n\n\n<li class=\"has-medium-font-size\" style=\"font-style:normal;font-weight:700\">If 75% of a number is 90, what is 25% of that same number?<\/li>\n\n\n\n<li class=\"has-medium-font-size\" style=\"font-style:normal;font-weight:700\">If 75% of a number is more than 80, what could the number be?<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-medium-font-size\"><a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/resources-for-teacher-growth-and-support\/learn-about-percents\/exploring-75\/exploring-75-some-answers\/\" target=\"_blank\" rel=\"noreferrer noopener\">Click here to check your answers.<\/a><\/p>\n\n\n\n<div style=\"height:49px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p style=\"font-size:24px\"><strong>A More Flexible Model<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">The model below works a little differently from the ones you&#8217;ve played with so far. In this one, you can move the orange dot to shade different percents! Play around with both dots to see how it works. Can you tell what each number is telling you? Read below the model if you aren&#8217;t sure.<\/p>\n<\/div><\/div>\n\n\n\n<center>\n\n<iframe loading=\"lazy\" src=\"https:\/\/www.desmos.com\/calculator\/qapbwhu5dw?embed\" width=\"730px\" height=\"300px\" style=\"border: 1px solid #ccc\" frameborder=0><\/iframe>\n\n<\/center>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-medium-font-size\">(In this model, the red and black numbers below the number line tell you the values of the part and the whole on the number line. The blue percent above the number line tells you what percent the orange part is of the whole rectangle.)&nbsp;<\/p>\n\n\n\n<ol start=\"5\" class=\"wp-block-list has-medium-font-size\">\n<li class=\"has-medium-font-size\"><strong>Use the model above to fill in the first four rows of the table that follows.<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\"><strong>What can you say about the relationships between 25%, 50%, 75%, and 100% of a number?<\/strong><\/li>\n\n\n\n<li class=\"has-medium-font-size\"><strong>Try to use what you learned about the relationships to fill in the last four rows.&nbsp;<\/strong>(Note: you can fill in the boxes in the order that makes the most sense to you. You can check your answers with the model!)<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-table has-medium-font-size\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">25%<\/th><th class=\"has-text-align-center\" data-align=\"center\">50%<\/th><th class=\"has-text-align-center\" data-align=\"center\">75%<\/th><th class=\"has-text-align-center\" data-align=\"center\">100%<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\">80<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\">90<\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\">30<\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">10<\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\">64<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\">36<\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\">46<\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">17<\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-medium-font-size\"><a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/Exploring-75-Table-Things-to-Notice.docx\" target=\"_blank\" rel=\"noreferrer noopener\">Click&nbsp;here<strong>&nbsp;<\/strong>to see the filled in table and some things you might have noticed.&nbsp;<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Here are some challenges to try with the model above:<\/strong><\/p>\n\n\n\n<ol start=\"6\" class=\"wp-block-list has-medium-font-size\">\n<li><strong>If 180 people were surveyed and 135 of them said they watch more than 3 hours of tv a day, what percent of people said they watch more than 3 hours of tv a day?&nbsp;<\/strong><\/li>\n\n\n\n<li><strong>Imagine you want to buy something that costs $140 and you have a coupon for 25% off. Can you use the model to figure out how much you will pay?&nbsp;<\/strong>(Hint: Try making the whole $140 and moving the orange dot to 100%, then go back by 25%.)<\/li>\n\n\n\n<li><strong>What if the store is having a clearance sale and the thing that cost $140 is 75% off (but you can&#8217;t use your coupon)? How much will it cost then?&nbsp;<\/strong><\/li>\n\n\n\n<li><strong>Imagine you own a store and you want to raise the prices by 25%. If something costs $60 now, how much will it cost after you raise the price?&nbsp;<\/strong>(Hint: You can move the orange dot past 100%. Look all the way down at the bottom of the page if you want another hint.)&nbsp;<\/li>\n\n\n\n<li><strong>If the price of something is $150&nbsp;<em>after<\/em>&nbsp;it has been increased by 25%, what was the price&nbsp;<em>before<\/em>&nbsp;it was increased?&nbsp;<\/strong>(Hint: Try to find a number that will make the orange dot land on 150&nbsp;<em>after<\/em>&nbsp;you add 25%. Look all the way down at the bottom of the page if you want another hint.)<\/li>\n\n\n\n<li><strong>Which is more: 25% of 180 or 75% of 120? Try to guess first and then use the model to see if you were right.&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"is-style-default\" style=\"font-size:24px\"><strong>Estimation Challenges<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Sometimes the numbers involved in thinking about percents are messy and you may not need an exact answer. Estimate the answers to these percent questions. To estimate, try changing the numbers to numbers that are close to the given numbers but easier to work with. Make your estimates and then use the model to see how close you got.&nbsp;<\/p>\n\n\n\n<ol start=\"12\" class=\"wp-block-list has-medium-font-size\">\n<li><strong>About how much is 25% of 143?<\/strong><\/li>\n\n\n\n<li><strong>About how much is 75% of 175?<\/strong><\/li>\n\n\n\n<li><strong>If 14 out of 20 people in a room are wearing glasses, what percent is that close to? Is it more or less than that percent?<\/strong><\/li>\n\n\n\n<li class=\"has-medium-font-size\"><strong>If 23% of a number is 15, about how big is the number?<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"has-medium-font-size\"><a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/75_percent_challenge_answers_acc.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Click&nbsp;here&nbsp;for answers and explanations for numbers 6 to 15.<\/a><\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading is-style-highlight-purple\"><strong>Percents on Circle Graphs\u2014Matching<\/strong><\/h2>\n\n\n\n<p class=\"has-medium-font-size\">At this point, you have explored several different percents. When you get to know a percent very well, you can use it as a&nbsp;<strong>benchmark<\/strong>. A benchmark is something you know well that you can compare other things to. To review what your benchmark percents look like as circle graphs, try this matching exercise. For each of the percents below, identify the circle graph that shows that the given percent of people prefer paper.\u200b (The answers are at the bottom of the page.)<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group is-vertical is-content-justification-center is-layout-flex wp-container-core-group-is-layout-4b2eccd6 wp-block-group-is-layout-flex\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-align-center\" style=\"font-size:26px\"><strong>Percent that prefer paper<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\" style=\"font-size:30px\">0%&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 25%&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 50%&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 75%&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 100%<\/p>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"747\" src=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/graphs-for-matching-v2_orig_acc-1024x747.png\" alt=\"Graph A shows 25% prefer paper and 75% devices. Graph B shows 75% prefer paper and 25% devices. Graph C shows 100% prefer devices. Graph D shows 50% prefer paper and 50% devices. Graph E shows 100% prefer paper.\" class=\"wp-image-4600\" srcset=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/graphs-for-matching-v2_orig_acc-1024x747.png 1024w, https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/graphs-for-matching-v2_orig_acc-300x219.png 300w, https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/graphs-for-matching-v2_orig_acc-768x560.png 768w, https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/graphs-for-matching-v2_orig_acc.png 1042w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><em>Something to think about: Look at the sliders underneath the graphs. Can you see a connection between them and the model at the top of the page?<\/em><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-left is-style-highlight-purple\"><strong>A Survey about Reading\u2014Graphing the Results<\/strong><\/h2>\n\n\n\n<p class=\"has-medium-font-size\">Now you&#8217;re ready to make some graphs of the results of the survey. For each town, drag the slider on the circle graph below to show what the survey results for that town look like. Don&#8217;t worry about getting it exactly right. You&#8217;re just practicing with benchmark percents. You can use the circle graphs above for reference and also the models at the top of the page. If you want to check your answers, make a sketch (quick drawing) of each of your graphs and then click below the graph to get the answers.)&nbsp;<\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-align-center has-medium-font-size\" style=\"font-style:normal;font-weight:700\">Survey Results<\/p>\n\n\n\n<figure class=\"wp-block-table aligncenter has-medium-font-size\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Town<\/th><th class=\"has-text-align-center\" data-align=\"center\">People Surveyed<\/th><th class=\"has-text-align-center\" data-align=\"center\">People who prefer paper<\/th><th class=\"has-text-align-center\" data-align=\"center\">People who prefer a device<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">Springfield<\/td><td class=\"has-text-align-center\" data-align=\"center\">100<\/td><td class=\"has-text-align-center\" data-align=\"center\">40<\/td><td class=\"has-text-align-center\" data-align=\"center\">60<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Chester<\/td><td class=\"has-text-align-center\" data-align=\"center\">120<\/td><td class=\"has-text-align-center\" data-align=\"center\">95<\/td><td class=\"has-text-align-center\" data-align=\"center\">25<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Greenfield<\/td><td class=\"has-text-align-center\" data-align=\"center\">65<\/td><td class=\"has-text-align-center\" data-align=\"center\">15<\/td><td class=\"has-text-align-center\" data-align=\"center\">50<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Arlington<\/td><td class=\"has-text-align-center\" data-align=\"center\">75<\/td><td class=\"has-text-align-center\" data-align=\"center\">40<\/td><td class=\"has-text-align-center\" data-align=\"center\">35<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n<\/div><\/div>\n\n\n\n<center><iframe loading=\"lazy\" src=\"https:\/\/www.desmos.com\/calculator\/n3l3lcjgch?embed\" width=\"600px\" height=\"300px\" style=\"border: 1px solid #ccc\" frameborder=0><\/iframe><\/center>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group is-vertical is-layout-flex wp-container-core-group-is-layout-8cf370e7 wp-block-group-is-layout-flex\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-align-left has-medium-font-size\"><a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2026\/01\/surveygraphs_acc.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">(Click here to see some sample answers.)<\/a><\/p>\n<\/div><\/div>\n<\/div>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-medium-font-size\"><strong>Some hints and answers:<br><br>\u200bSecond hint for question 9:&nbsp;<\/strong>Each of the four blocks inside the whole is worth 25%. To add on 25%, move the orange dot so you make one more block that is the same size.&nbsp;<br><strong>&nbsp;<br>Second hint for question 10<\/strong>: Every block that is worth 25% is the same size. Move the orange dot to 150 and then move the black dot so that the orange piece outside the whole is the same size as the four pieces inside. Check to see if your picture shows starting with your new whole and adding on 25% like you did in question 8.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Answers to matching exercise:<\/strong>&nbsp;1-C, 2-A, 3-D, 4-B, 5-E<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-buttons has-custom-font-size is-layout-flex wp-block-buttons-is-layout-flex\" style=\"font-size:28px;font-style:normal;font-weight:700\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/resources-for-teacher-growth-and-support\/learn-about-percents\/exploring-25\/\">Go back to 25% page<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-buttons has-custom-font-size is-content-justification-right is-layout-flex wp-container-core-buttons-is-layout-765c4724 wp-block-buttons-is-layout-flex\" style=\"font-size:28px;font-style:normal;font-weight:700\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/resources-for-teacher-growth-and-support\/learn-about-percents\/exploring-10\/\" target=\"_blank\" rel=\"noreferrer noopener\">Go on to explore 10%<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div><\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>The Other Three Parts<\/p>\n<p>On the previous page, you looked at a pizza where all that was left was 1\/4 or 25%.<\/p>\n<p>What part of this pizza&nbsp;<em>has been eaten<\/em>? Can you figure out a fraction and a percent to describe how much has been eaten?<\/p>\n<p>Because the picture shows four parts that are all the same size, each part is 1\/4 or 25%.<\/p>\n<p>There are three pieces missing, so the amount that is missing can be thought of as&nbsp;  <a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/resources-for-teacher-growth-and-support\/learn-about-percents\/exploring-75\/\">&nbsp;&raquo;&nbsp;Read more<\/a><\/p>\n","protected":false},"author":16,"featured_media":0,"parent":4428,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-fullwidth.php","meta":{"_acf_changed":false,"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"720,1582,1656,2359,2371,2934","_relevanssi_noindex_reason":"","footnotes":""},"class_list":["post-4492","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/pages\/4492","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/users\/16"}],"replies":[{"embeddable":true,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/comments?post=4492"}],"version-history":[{"count":298,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/pages\/4492\/revisions"}],"predecessor-version":[{"id":5109,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/pages\/4492\/revisions\/5109"}],"up":[{"embeddable":true,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/pages\/4428"}],"wp:attachment":[{"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/media?parent=4492"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}