Lesson Plan
EngageNY

Solving Area Problems Using Scale Drawings

For Teachers 7th Standards
Calculate the areas of scale drawings until a more efficient method emerges. Pupils find the relationship between the scale factor of a scale drawing and the scale of the areas. They determine the scale of the areas is the square of the...
Lesson Plan
EngageNY

Computing Actual Lengths from a Scale Drawing

For Teachers 7th Standards
The original drawing is eight units — how big is the scale drawing? Classmates determine the scale percent between a scale drawing and an object to calculate the length of a portion of the object. They use the percent equation to find...
Lesson Plan
EngageNY

Percent Increase and Decrease

For Teachers 7th Standards
Increase the percent of pupils that are fluent in solving change problems with an activity that asks class members to look at problems that involve either increases or decreases and to express the change in terms of the percent of...
Lesson Plan
EngageNY

Comparing Quantities with Percent

For Teachers 7th Standards
Be 100 percent confident who has the most and by how much. Pupils use percentages to help make the comparisons by finding what percent one quantity is of the other. They also determine the percent differences between the two...
Assessment
EngageNY

End-of-Module Assessment Task: Grade 7 Mathematics Module 6

For Students 7th Standards
Determine the level of understanding within your classes using a summative assessment. As the final lesson in a 29-part module, the goal is to assess the topics addressed during the unit. Concepts range from linear angle relationships,...
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
EngageNY

Why Worry About Sampling Variability?

For Teachers 7th Standards
Are the means the same or not? Groups create samples from a bag of numbers and calculate the sample means. Using the sample means as an estimate for the population mean, scholars try to determine whether the difference is real or not.
Lesson Plan
EngageNY

Understanding Variability When Estimating a Population Proportion

For Teachers 7th Standards
Estimate the proportion in a population using sampling. The 20th installment in a series of 25 introduces how to determine proportions of categorical data within a population. Groups take random samples from a bag of cubes to determine...
Lesson Plan
EngageNY

Sampling Variability

For Teachers 7th Standards
Work it out — find the average time clients spend at a gym. Pupils use a table of random digits to collect a sample of times fitness buffs are working out. The scholars use their random sample to calculate an estimate of the mean of the...
Lesson Plan
EngageNY

Selecting a Sample

For Teachers 7th Standards
So what exactly is a random sample? The 15th part in a series of 25 introduces the class to the idea of selecting samples. The teacher leads a discussion about the idea of convenient samples and random samples. Pupils use a random...
Lesson Plan
EngageNY

Populations, Samples, and Generalizing from a Sample to a Population

For Teachers 7th Standards
Determine the difference between a sample statistic and a population characteristic. Pupils learn about populations and samples in the 14th portion in a unit of 25. Individuals calculate information directly from populations called...
Lesson Plan
EngageNY

Comparing Estimated Probabilities to Probabilities Predicted by a Model

For Teachers 7th Standards
Small groups devise a plan to find the bag that contains the larger percentage of blue chips. they then institute their plans and compare results to the actual quantities in the bags. 
Lesson Plan
EngageNY

The Difference Between Theoretical Probabilities and Estimated Probabilities

For Teachers 7th Standards
Flip a coin to determine whether the probability of heads is one-half. Pupils use simulated data to find the experimental probability of flipping a coin. Participants compare the long run relative frequency with the known theoretical...
Lesson Plan
EngageNY

Chance Experiments

For Teachers 7th Standards
Class members are introduced to probability using terms such as impossible, unlikely, likely, and certain. Numbers between zero and one are associated with the descriptions of probability. Pupils find the likelihood of chance experiments...
Assessment
EngageNY

End-of-Module Assessment Task: Grade 7 Mathematics Module 4

For Students 7th Standards
Asses the class to determine their knowledge of proportional relationships involving percents. Class members work through the nine-question assessment with a variety of percent problems. The multi-step problems involve simple interest,...
Lesson Plan
EngageNY

Counting Problems

For Teachers 7th Standards
Solving these percent problems is a matter of counting. Pupils find percents by counting the number of events that meet the criteria and the total number of possibilities. Participants create the ratio and convert it to a percent to...
Lesson Plan
EngageNY

Population Problems

For Teachers 7th Standards
Find the percent of the population that meets the criteria. The 17th segment of a 20-part unit presents problems that involve percents of a population. Pupils use tape diagrams to create equations to find the percents of subgroups...
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

Percent Error Problems

For Teachers 7th Standards
Individuals measure a computer monitor and determine how accurate their measures are. The eighth segment in a series of 20 introduces the concept of percent error. Pupils find the percent error of their measurements and discuss the...
Lesson Plan
EngageNY

Fluency with Percents

For Teachers 7th Standards
Pupils build confidence working with percents as they work several types of percent problems to increase their fluency. The resource contains two sets of problems specifically designed to build efficiency in finding solutions of basic...
Lesson Plan
EngageNY

Percent

For Teachers 7th Standards
Extend percent understandings to include percents less than one and greater than 100. A great lesson has pupils build upon their knowledge of percents from sixth grade. They convert between fractions, decimals, and percents that are less...
Assessment
EngageNY

End-of-Module Assessment Task: Grade 7 Mathematics Module 5

For Students 7th Standards
Show learners how to use simulations and random sampling to reach conclusions with the last resource in a 25-part series. The assessment contains three scenarios, each with several parts, and covers comparing populations using...
Lesson Plan
EngageNY

Using Sample Data to Compare the Means of Two or More Populations II

For Teachers 7th Standards
The 23rd segment in a series of 25 presents random samples from two populations to determine whether there is a difference. Groups determine whether they believe there is a difference between the two populations and later use an...
Lesson Plan
EngageNY

Estimating a Population Proportion

For Teachers 7th Standards
Find the percent of middle schoolers who want the ability to freeze time. The 21st installment in a series of 25 has groups collect a random sample of respondents who answer a question about superpowers. Using sample statistics,...