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Assessment
Noyce Foundation

Sewing

For Teachers 6th Standards
Sew up your unit on operations with decimals using this assessment task. Young mathematicians use given rules to determine the amount of fabric they need to sew a pair of pants. They must also fill in a partially complete bill for...
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Lesson Plan
EngageNY

Describing Distributions Using the Mean and MAD

For Teachers 6th Standards
What city has the most consistent temperatures? Pupils use the mean and mean absolute deviation to describe various data sets including the average temperature in several cities. The 10th lesson in the 22-part series asks learners to...
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Assessment
Noyce Foundation

Lawn Mowing

For Teachers 6th - 7th Standards
This is how long we mow the lawn together. The assessment requires the class to work with combining ratios and proportional reasoning. Pupils determine the unit rate of mowers and calculate the time required to mow a lawn if they work...
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Lesson Plan
EngageNY

Creating Division Stories

For Students 6th Standards
Create your own adventure story ... well, not really. The fifth instructional activity in a 21-part series has pairs create story contexts for division problems. The instructional activity presents a step-by-step process for pupils to...
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Lesson Plan
EngageNY

Interpreting and Computing Division of a Fraction by a Fraction—More Models

For Teachers 6th Standards
Use a unit approach in developing a fraction division strategy. The teacher leads a discussion on division containing units, resulting in a connection between the units and like denominators. Pupils develop a rule in dividing fractions...
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Lesson Plan
EngageNY

Describing Distributions Using the Mean and MAD II

For Teachers 6th Standards
The 11th lesson in the series of 22 is similar to the preceding lesson, but requires scholars to compare distributions using the mean and mean absolute deviation. Pupils use the information to make a determination on which data set is...
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Assessment
Noyce Foundation

Mixing Paints

For Teachers 6th - 7th Standards
Let's paint the town equal parts yellow and violet, or simply brown. Pupils calculate the amount of blue and red paint needed to make six quarts of brown paint. Individuals then explain how they determined the percentage of the brown...
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Assessment
Noyce Foundation

Photographs

For Teachers 6th - 7th Standards
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
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Assessment
Noyce Foundation

Truffles

For Teachers 6th Standards
Knowing how to scale a recipe is an important skill. Young mathematicians determine the amount of ingredients they need to make a certain number of truffles when given a recipe. They determine a relationship between ingredients given a...
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Lesson Plan
EngageNY

More Division Stories

For Teachers 6th Standards
Don't part with a resource on partitive division. Continuing along the lines of the previous lesson, pupils create stories for division problems, this time for partitive division problems. Trying out different situations and units allows...
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Lesson Plan
EngageNY

The Relationship Between Visual Fraction Models and Equations

For Teachers 6th Standards
Ours is to wonder why, not just to invert and multiply. The seventh installment of a 21-part module uses fraction models to help pupils understand why the invert-and-multiply strategy for dividing fractions works. They then work on some...
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Lesson Plan
EngageNY

Finding a Rate by Dividing Two Quantities

For Teachers 6th Standards
Develop the right station to solve rate word problems. The 18th lesson in a series of 29 starts by interpreting the aspects of rates with two different quantities. Pupils use the interpretation of rates to solve problems, and groups work...
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Lesson Plan
EngageNY

Describing the Center of a Distribution Using the Mean

For Teachers 6th Standards
Everyone does their fair share. The sixth segment in a 22-part unit presents the mean as a fair share. Groups build a conceptual understanding of the mean of a data set, rather than simply learn an algorithm. Learners use the...
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Lesson Plan
EngageNY

Understanding Box Plots

For Teachers 6th Standards
Scholars apply the concepts of box plots and dot plots to summarize and describe data distributions. They use the data displays to compare sets of data and determine numerical summaries. 
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Lesson Plan
EngageNY

Creating a Histogram

For Teachers 6th Standards
Display data over a larger interval. The fourth segment in a 22-part unit introduces histograms and plotting data within intervals to the class. Pupils create frequency tables with predefined intervals to build histograms. They describe...
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Lesson Plan
EngageNY

Describing a Distribution Displayed in a Histogram

For Teachers 6th Standards
The shape of the histogram is also relative. Learners calculate relative frequencies from frequency tables and create relative frequency histograms. The scholars compare the histograms made from frequencies to those made from relative...
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Assessment
Noyce Foundation

Building Blocks

For Teachers 6th Standards
Building blocks have more uses than simply entertaining children. Young mathematicians calculate the volume of a given cube, and then calculate the volume and surface area of a prism formed from multiple cubes.
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Assessment
Noyce Foundation

Cereal

For Teachers 6th - 7th Standards
Find the best protein-packed cereal. The short assessment task covers equivalent and comparing ratios within a context. Pupils determine the cereal with the highest ratio of protein. A rubric helps teachers with point allotments for...
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Lesson Plan
Illustrative Mathematics

Computing Volume Progression 3

For Teachers 5th - 7th Standards
Learners are given a volume of a rectangular tank and are asked to find the water height. Because the total volume of the tank is given in liters, your geometers will need to use a unit ratio to convert to centimeters cubed. The exercise...
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Lesson Plan
Illustrative Mathematics

Pennies to Heaven

For Teachers 6th - 8th Standards
Even though pennies seem to be relatively thin, stack enough of them into a single stack, and you could have quite a high stack. Enough so, that the final result can be a surprise to you as well as your class. This activity centers...
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Assessment
Noyce Foundation

Snail Pace

For Teachers 6th Standards
Slow and steady wins the race? In the assessment task, scholars calculate the rates at which different snails travel in order to find the fastest snail. Hopefully, your class will move much more quickly in finishing the task!
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Lesson Plan
National Security Agency

Classifying Triangles

For Teachers 4th - 8th Standards
Building on young mathematicians' prior knowledge of three-sided shapes, this lesson series explores the defining characteristics of different types of triangles. Starting with a shared reading of the children's book The Greedy Triangle,...
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Lesson Plan
Illustrative Mathematics

Traffic Jam

For Teachers 6th - 7th Standards
Help your learners understand dividing with fractions by using these methods to solve. Chose from two different number lines or linker cubes.  This practices "how many groups?" style division problems which help them comprehend why they...
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Assessment
Achieve

Corn and Oats

For Students 6th - 10th Standards
How much land does a parcel hold? How much fertilizer does it take for a field of corn? Pupils answer these questions and more as they apply ratio reasoning and unit analysis. 

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