National Gallery of Canada
Home Sweet Home
What are your pupils' homes like? Incorporate their homes into a drawing lesson plan. Using an enlarged photograph, class members draw a grid so they can easily split their drawing in half. The final product should demonstrate cool...
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...
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.
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...
PHET
Equality Explorer
Find the right balance between concrete and abstract thinking. After using interactive balances to explore inverse operations, learners solve multi-step equations with variables on both sides. Of course, they can still use the...
Texas Education Agency (TEA)
Annotate and Analyze a Paired Passage: Practice 1 (English II Reading)
What do a colt and a boy in a tree have in common? More than might be first apparent. The fourth interactive in a series of ten introduces readers to intertextuality, the process of using abstract thinking to consider how one text...
Curated OER
Matching Directions
These abstract shapes are pointing in different directions and young scholars determine which ones are oriented the same way. For each of five starting shapes they examine a set of four identical figures pointing in various directions,...
Curated OER
Symmetry
Fold these shapes in half and you'll have perfectly equal sides. Kids explore symmetry by completing 16 abstract shapes which have been cut off at the line of symmetry. They draw the mirror image, using several examples as reference. An...
Curated OER
Symmetry
These symmetrical shapes are only half-completed, so scholars finish them by drawing the other side of the line of symmetry. Because your class won't recognize these abstract shapes, they will get authentic practice with this objective....
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...
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...
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,...
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.
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...
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