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Illustrative Mathematics

The Geometry of Letters

For Teachers 3rd - 5th Standards
Use the alphabet as a tool for teaching your class about geometric figures. Break apart capital letters into line segments and arcs. Classify angles as right, acute, or obtuse. Identify parallel and perpendicular lines. An excellent...
Lesson Plan
Illustrative Mathematics

Who is the Tallest?

For Teachers 3rd - 5th Standards
A simple question, with a not-so-simple answer. Working with whole and mixed number measurements in inches, feet, and yards presents a problem with many possible solutions. A great activity that challenges the minds of young...
Lesson Plan
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Illustrative Mathematics

Listing Fractions in Increasing Size

For Teachers 3rd - 5th Standards
Increase the depth of your class's fractional number sense with this number-ordering activity. Given four fractions, each with different numerators and denominators, young learners are asked to place them in order from smallest to...
Lesson Plan
Mathalicious

XBOX Xpotential

For Teachers 9th - 12th Standards
Touchdown! This is an exponentially insightful lesson that explores the growth of football games with different video game consoles. Class members discuss whether the increase of mergahertz can be described as linear or exponential....
Worksheet
Lane Community College

Review Sheets: Geometry

For Students 8th - 11th
Full of problems with polygons, angles, lines, and triangles, your learners get a multi-page packet that provides all they need to know. It contains many of the standard problem types as well as some more challenging questions. 
Handout
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Curated OER

Math Handbook: Trigonometry

For Students 9th - 12th Standards
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and...
Lesson Plan
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California Academy of Science

Building Better Buses: Transportation Design Challenges

For Teachers 6th - 10th Standards
Scholars learn about a series of three challenges when they design a bus system for a small town. They determine the bus routes and then figure out the best type of fuel to use before considering the cost of going electric. Learners...
Assessment
Inside Mathematics

Hexagons

For Teachers 9th - 12th Standards
Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
Lesson Plan
University of Nottingham

Drawing to Scale: A Garden

For Students 6th - 9th Standards
See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...
Assessment
Inside Mathematics

Party

For Teachers 8th Standards
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...
Assessment
Inside Mathematics

Suzi's Company

For Teachers 9th - 12th Standards
The mean might not always be the best representation of the average. The assessment task has individuals determine the measures of center for the salaries of a company. They determine which of the three would be the best representation...
Assessment
Inside Mathematics

Marble Game

For Teachers 9th - 12th Standards
Pupils determine the theoretical probability of winning a game of marbles. Individuals compare the theoretical probability to experimental probability for the same game. They continue on to compare two different probability games.
Assessment
Inside Mathematics

Scatter Diagram

For Teachers 8th Standards
It is positive that how one performs on the first test relates to their performance on the second test. The three-question assessment has class members read and analyze a scatter plot of test scores. They must determine whether...
Lesson Plan
Mathematics Assessment Project

Maximizing Area: Gold Rush

For Teachers 7th Standards
Presenting ... the gold standard for a lesson. Learners first investigate a task maximizing the area of a plot for gold prospecting. They then examine a set of sample student responses to evaluate their strengths and weaknesses.
Lesson Plan
Curated OER

Comparing Value for Money: Baseball Jerseys

For Teachers 8th Standards
Learners step up to the plate as they first complete an assessment task using linear equations to determine the best company from which to buy baseball jerseys. They then evaluate provided sample responses identifying strengths and...
Assessment
1
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Inside Mathematics

Quadratic (2006)

For Teachers 9th - 12th Standards
Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
Lesson Plan
Mathematics Assessment Project

Designing 3d Products: Candy Cartons

For Teachers 6th Standards
Wouldn't it be great to work in a candy factory? Learners get their chance as they first design a carton for a candy that meets certain requirements. They then examine and analyze nets and explanations in sample student responses.
Lesson Plan
Mathematics Assessment Project

Optimizing Coverage: Security Cameras

For Teachers 6th - 7th Standards
Are you being watched? Class members determine where to place security cameras protecting a shop. They then evaluate their own and several provided solutions.
Lesson Plan
Mathematics Assessment Project

Maximizing Profits: Selling Boomerangs

For Teachers 9th - 12th Standards
You'll return to this resource again .. .and again ... and again. Class members determine the maximum profit of a boomerang-making business by solving a system of equations. They then review and analyze provided sample responses to...
Assessment
Inside Mathematics

Expressions

For Teachers 9th - 12th Standards
Strive to think outside of the quadrilateral parallelogram. Worksheet includes two problems applying prior knowledge of area and perimeter to parallelograms and trapezoids. The focus is on finding and utilizing the proper formula and...
Assessment
Inside Mathematics

Archery

For Teachers 9th - 12th Standards
Put the better archer in a box. The performance task has pupils compare the performance of two archers using box-and-whisker plots. The resource includes sample responses that are useful in comparing individuals' work to others.
Assessment
Inside Mathematics

Vencent's Graphs

For Teachers 8th Standards
I like algebra, but graphing is where I draw the line! Worksheet includes three multiple-part questions on interpreting and drawing line graphs. It focuses on the abstract where neither axis has numbers written in, though both are...
Lesson Plan
Mathematics Assessment Project

Increasing and Decreasing Quantities by a Percent

For Teachers 7th Standards
As part of a study of percent and percent change, learners first complete an assessment task with several percent change problems. They then complete an activity using cards to create a diagram expressing percent increases and...
Assessment
Noyce Foundation

Ducklings

For Teachers 6th - 7th Standards
The class gets their mean and median all in a row with an assessment task that uses a population of ducklings to work with data displays and measures of central tendency. Pupils create a frequency chart and calculate the mean and median....

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