Curated OER
Connecting Algebra and Geometry Through Coordinates
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
Illustrative Mathematics
Points equidistant from two points in the plane
Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...
Global Change
Impact of a Changing Climate on the Pacific Walrus
How many of us can say they've seen a Pacific walrus? Not many and one of the reasons is the impact of climate change on their aquatic environment. Children get to think about the food web of the Bering Sea by creating an actual web with...
Curated OER
Comparing Fractions
Learners compare three sets of fractions using the greater than, less than, and equal signs. To justify their answers, a drawing is also required that illustrates their reasoning. Including fractions with like and unlike denominators, as...
Illustrative Mathematics
DVD Profits, Variation 1
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
Illustrative Mathematics
Security Camera
A different-than-normal problem that allows learners to practice their reasoning to find an answer. The problem bases itself off a graph drawing of a store that needs to install security cameras. The challenge is to find which placement...
Illustrative Mathematics
Equations and Formulas
Your class is asked to use inverse operations to solve eleven equations for unknown variables or to rearrange formulas to highlight a quantity of interest. By using the same reasoning as solving one- and two-step equations, algebra...
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
Buying Bananas, Assessment Version
Practice with unit rates, proportions, and ratios when Carlos purchases an amount of bananas. Learners must interpret a graph to decide whether points on the same line represent similar proportional relationships. Use with lesson plans...
Curated OER
Stock Swaps, Variation 2
If Microsoft wanted to take over Apple, how many shares would they need to break even? This is an ideal task for seventh graders who are studying proportional relationships and applying them to real-world scenarios. Use it as an...
Illustrative Mathematics
Field Day Scarcity
Introduce young mathematicians to concepts of financial literacy with this open-ended word problem. With seven dollars to spend during field day and given a list of available items and their prices, children must determine how they want...
iCivics
So You Think You Can Argue
What defines an argument, and how can someone properly formulate a counterargument? This resource provides two options—an interactive PowerPoint presentation or worksheet—that will support your learners as they begin to explore how to...
iCivics
Drafting Board: Military Intervention
Should countries use their militaries to stop humanitarian crises in other countries? Learners make claims, organize their reasoning, and provide evidence for their arguments with this rich resource.
iCivics
Drafting Board: Electoral College
Should the president of the United States be voted by the Electoral College or the popular vote? Your young historians will consider the pros and cons of the Electoral College, and make an argument using reasons and evidence...
iCivics
Drafting Board: Community Service
Should schools impose community service graduation requirements? In the final lesson of the Drafting Board series, learners solidify their practice of crafting an argument supported by sound reason and evidence.
Reading Worksheets
Inferences Worksheet 8
Lead your class toward mastery of making inferences with a straightforward worksheet. Pupils read four short passages and make inferences based on the questions asked about each passage. They explain their reasoning for each...
Illustrative Mathematics
Solving Two Equations in Two Unknowns
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning.
Mathed Up!
Shading Fractions of Rectangles
Learners find the midpoint between two numbers, shade fractional amounts of rectangles as well as decimal amounts of rectangles, and explain their mathematical reasoning in words. The assessment is a great way to check for understanding...
Cloud Front
Direct Variation Worksheet
Direct variation can be applied to many problems and here is a worksheet that has learners practicing them all. The skills include graphing, finding proportional relationships, and solving word problems to show how different factors...
Mathematics Assessment Project
Giantburgers
Americans love burgers! Pupils determine whether a given claim about burgers is true by reasoning from the provided information. The task involves operations with scientific notation.
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.
California Mathematics Project
For the Birds
It turns out math IS for the birds! Here, learners use mathematical reasoning to determine how often someone needs to fill a bird feeder. The rate the feeder empties varies by the number of holes that are available to the birds. Day two...
Mathed Up!
Angles in Triangles and Quadrilaterals
This short video show viewers how to connect the sum of the angles in a triangle to other angle measurements. Pupils determine the missing measures for angles involved with triangles and quadrilaterals. Class members then must explain...
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