EngageNY
Modeling with Quadratic Functions (part 2)
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped...
EngageNY
Computing Actual Lengths from a Scale Drawing
Class members take scale drawings and examine scales to determine distances in the actual objects. Pupils convert the scales of different units to scale factors that can be used in proportional equations.
Virginia Department of Education
Square Patios
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
Intel
Track the Trends
Allow your classes to research what interests them. An engaging STEM lesson, the fourth in the series of six, asks individuals to choose a topic of interest and analyze the data through regression models. The regression equations allow...
Intel
What Does This Graph Tell You?
What can math say about natural phenomena? The fifth STEM lesson in this project-based learning series asks collaborative groups to choose a phenomenon of interest and design an experiment to simulate the phenomenon. After collecting...
EngageNY
Complementary and Supplementary Angles
Connect algebraic and geometric concepts to solve problems. The first instructional activity in the 29-part series examines complementary and supplementary angle relationships. Scholars write equations to represent the relationships and...
PHET
Resistance in a Wire
Resistance is not futile, it is voltage divided by current. A creative simulation presents a wire graphic and allows participants to alter the area, length, and resistivity. As scholars increase or decrease a variable within the...
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 3
Pupils work on seven problems that use equations and expressions to solve geometry problems. The questions range from finding equivalent expressions to finding areas and volumes of figures. Learners apply their knowledge of angle...
EngageNY
Mathematical Area Problems
Teach the connection between area models and the distributive property through problem-solving. The 22nd activity in a series of 29 explains the distributive property graphically. Learners build area models from word problems and convert...
Noyce Foundation
Tri-Triangles
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
CK-12 Foundation
Logarithms: Logarithm Triangle
Study logarithmic properties using a triangle. A clever manipulative shows how a triangle can represent the three parts of a logarithmic or exponential equation. Pupils review the concept and then answer guiding questions to further...
CK-12 Foundation
Exponential Growth: Exponential, Fractal Snowflakes
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
EngageNY
Interpreting Division of a Whole Number by a Fraction—Visual Models
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
EngageNY
Computing Actual Lengths from a Scale Drawing
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...
LABScI
Electrolysis: Splitting Water
Explore the chemical components of water through an electrolysis reaction. Scholars use a battery to divide various water solutions into different gases. As they collect the gases, they measure the volume and make a comparison to the...
CK-12 Foundation
Oblique Asymptotes: Rational Functions and Asymptotes
Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.