West Contra Costa Unified School District
What Is a Radian?
Here's an algebra II activity that strives to make the concept of a radian less abstract and more conceptual. It takes a hands-on approach to exploring the idea of a radian and allows individuals to develop a definition of a radian...
Curated OER
Number Sense and Numeration: Multiples, Factors and Square Roots
A great resource for any math teacher covering multiples, factors or square roots; this learning exercise walks young mathematicians through the logic behind factoring and square roots with a systematic set of problems which gradually...
Curated OER
Math in English Skills III Exercise Book: Understanding Fractions
Fractions can be tricky, and there is no better way to tackle tricky topics than with a visual representation. Intended for learners in grades two and three, this set of printable worksheets provides a variety of fractions represented in...
Curated OER
Math in English Skills IX Exercise Book
Wouldn't it be great if you had a packet of worksheets that covered percents, adding, dividing, and comparing fractions and decimals? Click here and print a workbook with over 20 well-scaffolded pages that will help your class practice...
Curated OER
Less vs. Fewer
When should you use less, and when should you use fewer? Straighten out this dilemma with a helpful resource about using less vs. fewer based on sentence context clues. After reading detailed instructions and examples, young learners...
West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
Illustrative Mathematics
Fundraising
In order to solve for who raised the most money, learners will need to choose an appropriate math strategy or tool to help them. Two possible solutions, one involving pictures and one involving abstract thought, are presented in the...
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), learners generate the graphs of f(x + c), f(x) + c, and cf(x) for specific values of c. The...
Illustrative Mathematics
Animal Populations
Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than that example, and they do a good...
Curated OER
Abstract Nouns
In this grammar worksheet, students choose the appropriate noun from the highlighted word that completes each sentence grammatically correct.
Curated OER
Identifying Types of Nouns
In this identifying types of nouns worksheet, 8th graders write the type for 48 nouns, choosing singular or plural, common or proper, concrete or abstract, with examples of each type.
Curated OER
Critical Thinking - Week 11
In this critical thinking worksheet, students complete problems which require abstract reasoning and logic. They complete logic puzzles involving sums of an array, finding the maximum number of integers under given conditions, and card...
Curated OER
Matching Directions
Which shape is pointing the same way? There are five starting shapes here, all irregular. Learners examine a row of shapes following each and draw a circle around the one that is pointing the same way. Enforce directional vocabulary by...
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...
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...
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...
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 also use this...
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 pupils reason abstractly...
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.
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