Curated OER
Symmetry
Where is the line of symmetry? Learners begin by drawing in a line to split three images evenly in half, using an example as reference. Encourage them to think about physically folding the picture to solidify this concept. Next, they do...
Brooklyn Museum
Fred Tomaselli
Kids will observe, write, and create as a way to better understand the work of artist Fred Tomaselli. Guided by great critical thinking questions, learners will first analyze the piece Field Guides. Then, they will write a creative...
Perkins School for the Blind
Conversation Skills
It is so important for learners with multiple disabilities to learn how to communicate for both social and functional reasons. Each child will choose a topic from the list and generate five questions related to that topic. They'll split...
Curated OER
Mixing Candies
Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...
Curated OER
Course of Antibiotics
This model of the amount of anibiotics in a person's system is represented abstractly by a finite geometric series. Learners translate this real-life situation into algebraic form and then extend their knowlege by answering questions...
Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
National Gallery of Canada
Home Sweet Home
What are your pupils' homes like? Incorporate their homes into a drawing lesson. Using an enlarged photograph, class members draw a grid so they can easily split their drawing in half. The final product should demonstrate cool colors,...
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations,...
Georgia Department of Education
Math Class
Young analysts use real (provided) data from a class's test scores to practice using statistical tools. Not only do learners calculate measures of center and spread (including mean, median, deviation, and IQ range), but...
Mathematics Assessment Project
Arithmetic with Polynomials and Rational Expressions
It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have...
Mathematics Assessment Project
Creating Equations
Using equations to model events. The resource contains four items that prompt individuals to write and solve basic equations. They must reason abstractly and quantitatively while attending to precision when solving the problems.
Mathematics Assessment Project
Reasoning with Equations and Inequalities
Provide class members with an opportunity to practice reasoning. A resource contains six skill-based items aligned to the Common Core. The items require pupils to reason abstractly and attend to precision.
Curated OER
Building Functions
Pupils determine equations that match the graphs of transformations and the parent quadratic function. The resource requires class members to attend to precision and think abstractly.
EngageNY
Systems of Equations
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods.
EngageNY
Some Potential Dangers When Solving Equations
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They...
Beauty and Joy of Computing
Nesting Lists
Create lists within lists. The second lab in a series of five in the unit has pupils develop a simple contact list app. The tasks within the lab build the need for an abstract data type. Individuals build more complexity into their...
Virginia Department of Education
Solving Equations
Demonstrate the abstract process of solving equations by using algebra tiles as a concrete representation. Scholars begin by solving equations through the use of manipulatives. As they gain more confidence, they progress to...
Virginia Department of Education
Distance and Midpoint Formulas
Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.
CK-12 Foundation
Function Rules for Input-Output Tables: Soda Sugar Function Table
Examine the relationship between the input and output variables in a table of values. As learners build an input-output table using online manipulatives, they begin to identify patterns. They answer questions about these patterns...
CK-12 Foundation
Input-Output Tables for Function Rules
Make the abstract a bit more concrete with an interactive that asks learners to slide an input value through a function to determine the output. Changing the slope and y-intercept allows them to see the how the output values change.
Cornell University
Radical Reactions
The radical reactions of polymers seems abstract to many pupils, but this lesson turns them into a fun building game. Scholars use dice and building pieces to build polymers. Then, they determine the theoretical and experimental weight...
Science 4 Inquiry
The Impact of the Sun and Moon on Tides
In 150 BC, Seleucus of Seleucia theorized that the moon causes the tides. Scholars learn about what causes tides by studying the interactions of gravity between the sun, moon, and Earth. They use technology to formalize otherwise...
Santa Monica-Malibu Unified School District
Parts of Speech Nouns: Building Blocks of Grammar
An engaging PowerPoint presentation helps scholars learn the definition of a noun and provides examples of different types of nouns, such as person, place, abstract, and concrete nouns. Formative assessments within the resource check...
College Board
Advanced Object-Oriented Concepts
Advance inheritance in the classroom. The resource is a professional development module with sections great to use in the classroom. Sections cover ideas of inheritance in Java along with abstract classes. Each section includes a...
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