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Recognizing Formal and Informal Language

For Students 4th - 6th Standards
When do you need to use formal language, and when is it cool to speak informally? Read these sentences and use a grid to help decide. This clever tool is followed by ten sample sentences to identify as formal or informal, perfect for...
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Curated OER

Sitting across from Each Other

For Teachers 7th - 12th Standards
What is the probability that two randomly seated people will be across from each other at a square table? Check learners' understanding of theoretical probability and compound events with this short assessment. A great opportunity to...
Activity
Curated OER

Minutes and Days

For Teachers 5th Standards
Elapsed time is a skill developed by the single question that is the center of this activity. Fifth graders are asked to find out the time that is 2011 minutes after the beginning of 2011. This question addresses the standard that...
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Curated OER

Alex, Mel, and Chelsea Play a Game

For Teachers 9th - 12th Standards
This short probability question may look simple at first, but it is actually quite complex! Learners must understand independent events in context and must take into account several different scenarios. Use as an individual assignment...
Activity
Curated OER

Integer Solutions to Inequality

For Teachers 8th - 11th Standards
When is the last time you assigned your students only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using...
Activity
Curated OER

Unit Squares and Triangles

For Teachers 9th - 11th Standards
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle...
Activity
Illustrative Mathematics

Box of Clay

For Teachers 5th - 7th Standards
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...
Lesson Plan
Curated OER

T Points from Directions

For Teachers 8th - 9th Standards
Here is a lesson plan that starts with having geometers translate points using compass directions into an accurate picture of the problem. Then they must use their knowledge of the Pythagorean theorem or similar triangles to solve. This...
Lesson Plan
Illustrative Mathematics

Anna in D.C.

For Teachers 5th - 8th Standards
The amount of tax and tip on a restaurant bill is a common example used in percent problems. Here, learners only know the total amount paid, and they need to figure the itemized amounts. Solutions using a ratio table, using knowledge of...
Lesson Plan
Illustrative Mathematics

Seven to the What?!?

For Teachers 5th - 7th Standards
Sometimes what seems like the easiest problem is really the most difficult. Your class is first going to reach for their calculators, but will realize the number is too large to evaluate. Now what? This is where the fun and the...
Lesson Plan
Polar Trec

The Amazing Antarctic Trek

For Teachers 5th - 8th
This resource provides two ways to engage learners in using latitude, longitude, and research skills. In pairs, or on their own, learners will locate several Antarctic regions on a map. They will write the name of the place and a few key...
Lesson Plan
Illustrative Mathematics

Sammy's Chipmunk and Squirrel Observations

For Teachers 7th - 9th Standards
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns.  Scholars could find the answer algebraically or create a table to analyze the...
Lesson Plan
Illustrative Mathematics

Area of a Trapezoid

For Teachers 7th - 9th Standards
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
Lesson Plan
Illustrative Mathematics

Fruit Salad

For Teachers 5th - 7th Standards
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Lesson Plan
Illustrative Mathematics

Two-School Dance

For Teachers 7th - 9th Standards
Who's ready for the dance? When two middle schools combine for a dance, your learners' job is to calculate the ratio of girls attending. Provided with three different solutions, you can choose from setting up a ratio, linear equation, or...
Lesson Plan
Illustrative Mathematics

Offensive Linemen

For Teachers 6th - 8th Standards
Comparing college football teams, Division I is said to have heavier lineman than Division III. Your mathematicians are given data from two different divisions and will have to interpret a dotplot and calculate the difference in weight...
Lesson Plan
Illustrative Mathematics

Gotham City Taxis

For Teachers 6th - 8th Standards
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Lesson Plan
Illustrative Mathematics

Overlapping Squares

For Teachers 5th - 7th Standards
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
Lesson Plan
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Illustrative Mathematics

Margie Buys Apples

For Teachers 3rd - 5th Standards
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
Lesson Plan
Illustrative Mathematics

An Integer Identity

For Teachers 8th - 12th Standards
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
Lesson Plan
Curated OER

Rounding and Subtracting

For Teachers 6th - 8th Standards
Common Core is all about getting your learners to open their minds and think about the why and how. This problem has them thinking about unknown numbers and their relationship with one another when we round and...
Lesson Plan
Curated OER

Point Reflection

For Teachers 7th - 9th Standards
Use this task as an exit ticket for your eight graders during the geometry unit. All they need to do is identify the coordinates of a point reflected over y=2000. 
Lesson Plan
Illustrative Mathematics

Alike or Different Game

For Teachers K Standards
How are a circle and triangle alike? How are they different? These are the types of questions children will answer while playing this fun geometry game. Including a variety of conventional and unconventional shapes, this activity allows...
Lesson Plan
Illustrative Mathematics

Overlapping Rectangle

For Teachers K - 3rd Standards
Challenge young mathematicians' ability to compose and decompose shapes with this fun geometry puzzle. The goal is simple, locate all of the rectangles shown in a picture of three overlapping rectangles. Perform this activity as a whole...

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