EngageNY
Ratios II
Pupils continue the study of ratios by creating ratios from a context. The contexts present more than two quantities, and scholars create contexts that match given ratios.
EngageNY
Getting the Job Done—Speed, Work, and Measurement Units II
How fast is your class? Learners determine the amount of time it takes individuals to walk a given distance and calculate their speeds. Pupils solve distance, rate, and time problems using the formula and pay attention to the...
EngageNY
Ratios
Create ratios using the boys and girls in the class. The first lesson in a 29-part series introduces ratios. Pupils learn to create ratios, write them, and model them with tape diagrams. Class members realize that there are different...
EngageNY
Chance Experiments with Equally Likely Outcomes
Take a deeper dive into equally likely probabilities. Pupils build upon their understanding of probability by determining sample spaces and outcomes. Individuals work with sample spaces and determine outcomes that are equally likely....
Noyce Foundation
Measuring Mammals
Explore the meaning of scale and proportion with a set of five activities that examines the topic from elementary through high school. The first lessons explore ratio by examining pictures of different sizes. The next three activities...
Noyce Foundation
Between the Lines
Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...
Noyce Foundation
Diminishing Return
Challenge individuals to compete as many tasks as possible. Lower-level tasks have pupils apply costs and rates to solve problems. Upper-level tasks add algebraic reasoning and conditional probability to the tasks.
Noyce Foundation
On Balance
Investigate the world of unknown quantities with a creative set of five lessons that provides problem situations for varying grade levels. Each problem presents a scenario of fruit with different weights and a balance scale. Using the...
Noyce Foundation
The Shape of Things
Investigate the attributes of polygons. A thorough set of lessons presents problem scenarios for elementary through high school classes. The first lessons focus on basic characteristics of polygons, including the line of symmetry. As the...
Noyce Foundation
Miles of Tiles
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
Noyce Foundation
Cutting a Cube
Teach the ins and outs of the cube! A series of five K–12 level activities explore the make-up of the cube. The beginning lessons focus on the vocabulary related to the cube. Later lessons explore the possible nets that describe a cube....
Noyce Foundation
Cut It Out
Explore the mathematics of the paper snowflake! During the five lessons progressing in complexity from K through 12, pupils use spatial geometry to make predictions. Scholars consider a folded piece of paper with shapes cut out....
EngageNY
Understanding Three-Dimensional Figures
You can't judge a book by its cover ... or a cube structure by just one face. A creative instructional activity looks at the shape of several cube structures described by level slices. The 20th instructional activity of the 29-part...
EngageNY
Checking for Identical Triangles
Examine an assortment of triangle congruence criteria in a single lesson. Building on the four previous lessons of the series, the 13th installment provides a mixture of the different triangle congruence criteria for pupils to identify....
EngageNY
Identical Triangles
Explore vocabulary and notation related to triangles and congruence. The fifth lesson in the 29-part series helps pupils build their knowledge of triangle relationships. Individuals identify corresponding parts of identical triangles and...
PBL Pathways
Do Homework?
To complete homework or not to complete homework ... that is the question. Decide whether it makes a difference on finals by doing homework. Individuals create a scatter plot and find a line of best fit for data on the percent of...
EngageNY
Percent Error Problems
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...
EngageNY
Percent
Extend percent understandings to include percents less than one and greater than 100. A great lesson plan has pupils build upon their knowledge of percents from sixth grade. They convert between fractions, decimals, and percents that are...
Virginia Department of Education
Organizing Topic: Data Analysis
Learners engage in six activities to lead them through the process of conducting a thorough analysis of data. Pupils work with calculating standard deviations and z-scores, finding the area under a normal curve, and sampling...
Virginia Department of Education
Linear Curve of Best Fit
Is foot length to forearm length a linear association? The class collects data of fellow scholars' foot length and the length of their forearms. They plot the data and find a line of best fit. Using that line, they make predictions of...
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
02 x 02 Worksheets
Symmetry
Get learners' minds rotating and reflecting while looking for symmetry. Pupils investigate figures to determine the number of lines of symmetry and if the figure has rotational symmetry. Classmates work together in groups to find out the...
EngageNY
Using Sample Data to Compare the Means of Two or More Populations II
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...
EngageNY
Estimating a Population Proportion
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,...