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

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

Real-World Positive and Negative Numbers and Zero II

For Students 6th Standards
Continuing from the previous lesson plan 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...
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

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...
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.
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

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.
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...
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...
Lesson Plan
EngageNY

Problems in Mathematical Terms

For Teachers 6th Standards
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...
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

It's Warmer in Miami

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

Sugar in Six Cans of Soda

For Teachers 3rd - 5th Standards
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....
Lesson Plan
EngageNY

Putting the Law of Cosines and the Law of Sines to Use

For Teachers 11th - 12th Standards
Use the Law of Cosines and the Law of Sines to solve problems using the sums of vectors. Pupils work on several different types of real-world problems that can be modeled using triangles with three known measurements. In the process,...
Assessment
CCSS Math Activities

Social Security Trust Fund

For Students 9th - 12th Standards
Will Social Security still be around when you retire? Given data on the predicted balance of the social security fund over time, scholars plot the points on a coordinate grid and determine if a quadratic regression fits the data. They...
Lesson Plan
Illustrative Mathematics

Waiting Times

For Teachers 6th - 8th Standards
Probability prevails in this assignment as youngsters determine the probability of finding a blue pen in a cereal box when they can come in blue, green, yellow, or red. Learners set up a simulation to determine the outcome of compound...
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...
Lesson Plan
Illustrative Mathematics

Chocolate Bar Sales

For Teachers 5th - 7th Standards
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Lesson Plan
Illustrative Mathematics

Voting for Three, Variation 2

For Teachers 5th - 7th Standards
Here is another opportunity for math students 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...
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...

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