EngageNY
Newton’s Law of Cooling, Revisited
Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and multiplication....
Mathematics Assessment Project
Generalizing Patterns: Table Tiles
As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same problems.
Mathematics Assessment Project
Printing Tickets
That's the ticket! Pupils write and investigate two linear functions representing the cost of printing tickets. Individuals then determine which of two printing companies would be a better buy.
Mathematics Assessment Project
Patchwork
Sew up learning on writing rules for patterns with an assessment task that has pupils investigate the number of triangles needed for cushions of different sizes. They then use the data to generate a rule for a cushion of any size.
Mathematics Assessment Project
Sidewalk Stones
One block, two blocks, white blocks, gray blocks. In the high school assessment task, learners investigate patterns of sidewalk stones to develop a quadratic expression for each colored block. Young mathematicians then use the expression...
Mathematics Assessment Project
Best Buy Tickets
Everyone wants the best price when shopping — no matter what they are trying to buy. Given pricing information, pupils must solve a system of equations to determine the best option for printing tickets.
Mathematics Assessment Project
Skeleton Tower
Who doesn't like building blocks? In the task, pupils use a given diagram of a tower to determine the number of needed blocks. Using this information, pupils then develop a function rule relating the height of the tower to the number of...
EngageNY
Modeling a Context from Data (part 2)
Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions based...
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
Georgia Department of Education
Analytic Geometry Study Guide
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...
Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
Mathematics Vision Project
Module 5: Features of Functions
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas like...
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
Alabama Learning Exchange
Cosmic Measurements
Students develop two units of measurement to relate to the astronomical unit and the light year. In this astronomy instructional activity, students use a Twizzler to develop a measurement unit similar to the astronomical unit. They use a...
Alabama Learning Exchange
Density
Students observe a demonstration of regular soda versus diet soda. In this exploring density instructional activity students complete a lab on density and present a PowerPoint presentations of their results.
Alabama Learning Exchange
The Composition of Seawater
Students explore the concept of finding the composition of seawater. In this finding the composition of seawater instructional activity, students make a saturated salt water solution. Students discuss why there is variation in ocean...