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Illustrative Mathematics

Rational or Irrational?

For Teachers 9th - 12th Standards
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this worksheet to push them a little further in their understanding. Learners must identify sums and...
Activity
Curated OER

Finding the Area of Polygons

For Teachers 3rd Standards
Third graders are exposed to finding the area of polygons by decomposing figures and recomposing them into rectangles. This strategy allows children to expand on their prior knowledge of constructing shapes by rearranging parts into...
Activity
Illustrative Mathematics

Exponentials and Logarithms I

For Teachers 8th - 12th Standards
This task focuses on using the verbal definition of the logarithm to understand that a logarithm is an exponent. Learners complete six computational exercises using the inverse properties of logs and exponents and answer two...
Lesson Plan
Curated OER

Is This a Rectangle?

For Teachers 8th - 10th Standards
How do you show that something is a rectangle? This activity starts with four coordinate points and asks young geometers to explain whether they create a rectangle. Knowledge from both geometry and algebra come into play here, as well...
Lesson Plan
Illustrative Mathematics

Sale!

For Teachers 6th - 7th Standards
Everyone loves a sale, and this worksheet allows learners to calculate which sale is more rewarding. The activity can be adapted for different thinking contexts. The answer key describes different answer choices, some being higher...
Lesson Plan
Illustrative Mathematics

Making Hot Cocoa, Variation 1

For Teachers 6th - 7th Standards
Dividing with fractions can be a confusing task to some, but the activity illustrates how to make groups out of the problem and look at it visually. Use this problem with the instructional activity in the Additional Materials section to...
Lesson Plan
Illustrative Mathematics

Cup of Rice

For Teachers 6th - 7th Standards
Dividing with fractions is not a favorite task, so provide your learners with a visual understanding. The activity breaks a simple division problem into something they can comprehend. Use this method for future problems with...
Lesson Plan
Illustrative Mathematics

Reasoning about Multiplication and Division and Place Value, Part 1

For Teachers 5th - 7th Standards
Help your class make sense of quantities and their relationships. Given is the product of two numbers. It is up to your number crunchers to think about the quantitative relationship when the product is one-tenth or ten times the product...
Lesson Plan
Illustrative Mathematics

Running to School

For Teachers 4th - 6th Standards
The object of this activity is to compute how far Rosa ran to school. Given in the exercise is the fractional number of miles between home and school and the fractional distance Rosa ran. The commentary shows several ways to have your...
Lesson Plan
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1
Illustrative Mathematics

What Shape Am I?

For Teachers 3rd - 5th Standards
Sharpen your pencil and grab a ruler, it's time to draw some quadrilaterals! Given the definition of a parallelogram, rectangle, and rhombus, learners draw examples and nonexamples of each figure. The three definitions are...
Lesson Plan
Illustrative Mathematics

Lines of Symmetry for Triangles

For Teachers 3rd - 5th Standards
What can symmetry tell us about triangles? After looking at four examples, learners will come to realize that lines of symmetry are different for equilateral, isosceles, and scalene triangles. Use this guided practice activity as an...
Assessment
Illustrative Mathematics

Identifying Exponential Functions

For Students 9th - 12th Standards
Class members have the opportunity to quickly change the variables of an exponential graphs through the use of sliders on Desmos. Four graphs are given and young mathematicians, through the use of the graphing app, can discover which...
Activity
Illustrative Mathematics

Hand Span Measures

For Students 2nd Standards
How long is your hand span? Young mathematicians measure their hand span from pinky tip to thumb tip using a centimeter ruler. After rounding to the nearest whole centimeter, learners plot their data on a line plot.
Worksheet
Curated OER

Animals Sentence Worksheet

For Students 4th - 5th
In this animal word sentence worksheet, learners write original sentences, using a set of 15 given words related to animals. A reference web site is given for additional activities.
Worksheet
Curated OER

Writing Descriptive Sentences

For Students 6th - 12th
In this writing worksheet, students choose descriptive words from various categories to write expressive and descriptive sentences. Categories include: age, color, origin, material, adjectives, and nouns.
Worksheet
Curated OER

ESL Writing: Coco's Intro

For Students 2nd - 5th
In this ESL writing worksheet, students trace a set of general introductory statements, tracing on lines provided next to original words/phrases. 
Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Lesson Plan
Illustrative Mathematics

Writing Expressions

For Teachers 6th - 8th Standards
Practice writing algebraic expressions from written phrases. The objective is to consider two seemingly similar phrases, write them as algebraic expressions, and then simplify using the order of operations. Learners are challenged to...
Worksheet
Curated OER

Dalton's Law of Partial Pressure

For Students 10th - Higher Ed
In this partial pressures instructional activity, students apply Dalton's Law of partial pressure to solve 4 problems comparing the pressure of gases in different containers.
Activity
Curated OER

Coffee and Crime

For Teachers 9th - 12th Standards
Is there a correlation between the number of coffee shops and the amount of crime in a given area? In this quick exercise, your class will examine the data, interpret the results, and discuss their conclusion. Concepts covered include...
Activity
Illustrative Mathematics

Comparing Products

For Teachers 5th Standards
How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...
Activity
Illustrative Mathematics

Warming and Cooling

For Teachers 8th - 11th Standards
Is it too hot to go hiking? This task asks learners to refer to a graph that shows temperature as a function of time and answer five questions about the scenario depicted by the graph. The exercise could be used for instruction to help...
Activity
Illustrative Mathematics

Which Function?

For Teachers 8th - 12th Standards
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
Lesson Plan
Illustrative Mathematics

Firefighter Allocation

For Teachers 5th - 7th Standards
Creating equations with one variable  to solve real-world-type problems is a key skill any algebra learner needs to master. Here the focus is on realizing that one can write the equation in different ways depending upon how one...

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