Lesson Plan
EngageNY

Real-World Positive and Negative Numbers and Zero II

For Students 6th Standards
Continuing from the previous lesson in the series, scholars learn to use positive and negative integers to describe real-world situations. In groups, they come up with their own situations for given positive and negative integers. 
Lesson Plan
EngageNY

Real-World Positive and Negative Numbers and Zero

For Students 6th Standards
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...
Lesson Plan
EngageNY

Tax, Commissions, Fees, and Other Real-World Percent Problems

For Teachers 7th Standards
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...
Activity
Curated OER

Population and Food Supply

For Teachers 8th - 12th Standards
What does it mean for something to grow exponentially, and how does that compare to linear growth? This activity tries to help learners gain an understanding of these concepts while modeling real-world problems. Linear and exponential...
Lesson Plan
EngageNY

One-Step Problems in the Real World

For Teachers 6th Standards
Mirror, mirror on the wall, which is the fairest resource of them all? Individuals write and solve one-step equations for problems about angle measurement, including those involving mirrors. Both mathematical and real-world problems are...
Lesson Plan
EngageNY

Writing and Graphing Inequalities in Real-World Problems

For Teachers 6th Standards
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.
Lesson Plan
EngageNY

Multi-Step Problems in the Real World

For Teachers 6th Standards
Connect graphs, equations, and tables for real-world problems. Young mathematicians analyze relationships to identify independent and dependent variables. These identifications help create tables and graphs for each situation.
Lesson Plan
EngageNY

Real-World Area Problems

For Students 7th Standards
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.
Lesson Plan
Illustrative Mathematics

Summer Swimming

For Teachers 7th - 9th Standards
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...
Assessment
Inside Mathematics

Picking Apples

For Teachers 8th Standards
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...
Activity
Curated OER

Sore Throats, Variation 1

For Teachers 6th - 8th Standards
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...
Lesson Plan
Curated OER

7.RP Music Companies, Variation 2

For Teachers 6th - 8th Standards
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...
Lesson Plan
EngageNY

Statements of Order in the Real World

For Students 6th Standards
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.
Assessment
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Target O

For Students 10th - 12th Standards
Trigger an increased understanding of trigonometry. Young mathematicians answer a set of questions that require finding trigonometric ratios using similarity and solving real-world problems involving trigonometry. The questions all come...
Lesson Plan
EngageNY

Modeling Using Similarity

For Teachers 8th Standards
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...
Lesson Plan
Illustrative Mathematics

Christo’s Building

For Teachers 6th - 7th Standards
Hook your charges on how to solve a real-world art problem with mathematics by showing works of Christo. You can find eye-catching images on the Christo and Jeanne Claude webpage. Here, math learners help Jean Claude and Christo prepare...
Activity
Illustrative Mathematics

Doctor's Appointment

For Teachers 9th - 10th Standards
Geometric volume calculations are brought into the real world in a quick set of application problems. Learners are asked to help a patient figure out how to drink a prescribed amount of water both at work and at home. This activity...
Lesson Plan
Illustrative Mathematics

Voting for Three, Variation 2

For Teachers 5th - 7th Standards
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...
Lesson Plan
Illustrative Mathematics

Voting for Three, Variation 1

For Teachers 5th - 7th Standards
This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, young scholars will only consider two at a time, making the first...
Assessment
EngageNY

End-of-Module Assessment Task: Grade 8 Module 6

For Students 8th Standards
Test your knowledge of linear functions and models. The last installment of a 16-part module is an end-of-module assessment task. Pupils solve multi-part problems on bivariate data based on real-world situations to review concepts from...
AP Test Prep
College Board

2011 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
So this is the real test? The resource provides the free-response questions from the 2011 AP Calculus AB exam. The six questions are split into two sections, calculator and non-calculator items. Several resources give teachers...
Assessment
EngageNY

Algebra II Module 2: End-of-Module Assessment

For Teachers 10th - 12th Standards
Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one...
Lesson Plan
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Illustrative Mathematics

Oakland Coliseum

For Teachers 9th - 12th Standards
Help algebra learners relate a real-life function that happens at the Oakland Coliseum every time the Raiders play. The resource states that the revenue of the Oakland Raiders home games is a function of the number of seats sold and the...
Lesson Plan
Illustrative Mathematics

Painting a Room

For Teachers 4th - 6th Standards
This real-life math problem concentrates on developing the understanding of dividing a unit fraction by a whole number. It allows students to draw out a solution to aid their thinking. The well-written answer sheet describes common...

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