EngageNY
Writing and Graphing Inequalities in Real-World Problems
Inequalities: when one solution just doesn't suffice. Individuals learn to write inequalities in real-world contexts and graph solution sets on the number line. All inequalities in the lesson are of the form x < c or x < c.
EngageNY
Real-World Positive and Negative Numbers and Zero
Class members investigate how positive and negative numbers are useful in the real world. Individuals first read a short passage and identify terms indicating positive and negative numbers. They consider situations involving positive...
EngageNY
Tax, Commissions, Fees, and Other Real-World Percent Problems
Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...
EngageNY
Problems in Mathematical Terms
Whether scholars understand independent and dependent variables depends on you. The 32nd installment of a 36-part series has learners analyze relationships in real-world problems through tables. They determine independent and dependent...
EngageNY
Real-World Area Problems
Not all structures take the shape of a polygon. The 21st lesson in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite figure.
EngageNY
Statements of Order in the Real World
Positive and negative numbers are all around us. Groups read short story contexts and identify a rational number that represents the values in the context. They order the rational numbers and interpret statements of inequality.
EngageNY
Writing and Evaluating Expressions—Addition and Subtraction
Let Y represent Yes to using an excellent resource. Pupils first learn to define variables using a complete description in the 19th part in a series of 36. They write expressions involving addition and subtraction in real-world...
Inside Mathematics
Picking Apples
Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...
Illustrative Mathematics
It's Warmer in Miami
Brrrr it's cold in Alaska! When given the temperatures of Anchorage and Miami in the winter, your mathematicians will calculate how much warmer it is in Miami. Answer key provides two different solution choices. Great as a warm-up for...
Curated OER
Sore Throats, Variation 1
Why does Nia's water taste saltier than Trey's if she put more into her cup than he did? Math masters set up proportions in order to compare the mixtures. This task effectively has learners apply the concepts of ratio and proportion to a...
EngageNY
Modeling Using Similarity
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
Curated OER
7.RP Music Companies, Variation 2
Real-world multiple-step proportion problems are sometimes hard to find for your math class. Here is one designed specifically to meet that need. Learners use proportional relationships to determine price per share in the acquisition of...
Illustrative Mathematics
Summer Swimming
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
College Board
2011 AP® Calculus AB Free-Response Questions Form B
Half are real-world. The 2011 AP® Calculus AB free-response questions let pupils and teachers see how content appears on the exam. Half of the questions contain real-world context, and four items do not allow calculators. Real-world...
Illustrative Mathematics
Sugar in Six Cans of Soda
Understanding how to multiply a whole number by a fraction is the key concept. Young mathematicians create a visual model of this real-world example and find the solution. Extensions are possible for making this an even richer activity....
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
Curated OER
Bacteria Populations
Your young microbiologists will interpret and solve exponential equations in this real-world context task set in a hospital research scenario. Learners think in terms of the functions as well as their rates of change.
EngageNY
The Opposite of a Number
It's opposite day! The fourth installment of a 21-part module teaches scholars about opposites of integers and of zero. Number lines and real-world situations provide an entry point to this topic.
Illustrative Mathematics
Voting for Three, Variation 2
Here is another opportunity for math learners to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given about...
Curated OER
US Households
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
Illustrative Mathematics
Gifts from Grandma, Variation 3
There are three money word problems in this activity, each one is set in the same context. The first asks what was the total amount grandma spent, the second how many grandchildren grandma has, and the third asks how much grandma spent...
College Board
2013 AP® Statistics Free-Response Questions
AP® exams don't need to be shrouded in mystery. The 2013 AP® Statistics free-response questions are available for instructors to reference. It includes questions on mean, standard deviation, normal distribution, confidence intervals,...
Curated OER
Snow Day
It's a snow day, and two brothers attending schools with different schedules each got a late start to the day. But who had the shorter school day? That's what your class will find out as they apply their knowledge of fractions to this...
Noyce Foundation
Rabbit Costumes
How many rabbit costumes can be made? This is the focus question of an activity that requires scholars to use multiplication and division of fractions to solve a real-world problem. They determine the amount of fabric necessary for eight...