EngageNY
Simplifying Square Roots
Explore the process of simplifying square roots through an analysis of perfect squares. The fourth instructional activity of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The...
EngageNY
Existence and Uniqueness of Square Roots and Cube Roots
Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...
EngageNY
Square Roots
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
EngageNY
The Pythagorean Theorem
Class members explore the estimation of irrational numbers in association with the Pythagorean Theorem. The first lesson of this module challenges pupils to use the Pythagorean Theorem to find unknown side lengths. When the length is not...
Intel
Play Ball!
Math and sports meet on the baseball diamond in the first STEM lesson in a series of six that asks pupils to collect and perform comparative analyses of data specific to baseball. Following the analysis, scholars create a presentation...
EngageNY
Angles Associated with Parallel Lines
Explore angle relationships created by parallel lines and transversals. The 13th instructional activity of 18 prompts scholars use transparency paper to discover angle relationships related to transversals. Learners find out that these...
Tech Museum of Innovation
Analogous Models
What goes into a museum display? A secondary-level STEM project prompts groups to design a museum display for the Tech Museum of Innovation. They create an analogous, interactive model illustrating a science concept to complete the lesson.
Discovery Education
It's Getting Hot in Here
Class members engage in a STEM experiment and investigate how materials affect heating in a house by creating models of houses and using different top surface materials. They record the temperature inside the models and consider what the...
Discovery Education
Drive it Green
Explore and brainstorm innovations for cars with a STEM lesson that asks scholars to weigh different options when considering when buying a car. They research the fuel efficiency and carbon emissions for various options, and then design...
Discovery Education
Cushion It!
Sugar cubes, collide! Groups design protection systems using bubble wrap to protect sugar cubes from being destroyed by falling batteries in the STEM lesson. They consider how the experiment relates to collisions in real-world...
Discovery Education
Make it all Better!
Discover how innovations can help your school and community. In the three-part STEM lesson, scholars learn the meaning of innovation and brainstorm innovations in their schools. They identify issues in their communities and think of...
EngageNY
Association Between Categorical Variables
Investigate associations between variables with two-way tables. Scholars continue their study of two-way tables and categorical variables in the 15th installment of a 21-part module. The lesson challenges them to calculate relative...
EngageNY
Summarizing Bivariate Categorical Data in a Two-Way Table
Be sure to look both ways when making a two-way table. In the lesson, scholars learn to create two-way tables to display bivariate data. They calculate relative frequencies to answer questions of interest in the 14th part of the series.
EngageNY
Nonlinear Models in a Data Context
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...
EngageNY
Using Linear Models in a Data Context
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
EngageNY
Linear Models
Expand your pupils' vocabulary! Learn how to use statistical vocabulary regarding linear models. The lesson teaches scholars the appropriate terminology for bivariate data analysis. To complete the module, individuals use linear...
EngageNY
Determining the Equation of a Line Fit to Data
What makes a good best-fit line? In the 10th part of a 16-part module, scholars learn how to analyze trend lines to choose the best fit, and to write equations for best-fit lines to make predictions.
EngageNY
Informally Fitting a Line
Discover how trend lines can be useful in understanding relationships between variables with a lesson that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend line to make...
EngageNY
Patterns in Scatter Plots
Class members investigate relationships between two variables in the seventh installment of a 16-part module that teaches scholars how to find and describe patterns in scatter plots. Young mathematicians consider linear/nonlinear...
EngageNY
Scatter Plots
Scholars learn to create scatter plots and investigate any relationships that exists between the variables with a lesson that also show them that statistical relationships do not necessarily indicate a cause-and-effect relationship.
EngageNY
Increasing and Decreasing Functions 2
Explore linear and nonlinear models to help your class build their function skills. In a continuation of the previous lesson, learners continue to analyze and sketch functions that model real-world situations. They progress from linear...
EngageNY
Increasing and Decreasing Functions 1
Model situations with graphs. In the fourth installment of a 16-part module, scholars learn to qualitatively analyze graphs of piecewise linear functions in context. They learn to sketch graphs for different situations.
EngageNY
Representations of a Line
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
EngageNY
Interpreting Rate of Change and Initial Value
Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...