EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
Inside Mathematics
Graphs (2006)
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Inside Mathematics
Snakes
Get a line on the snakes. The assessment task requires the class to determine the species of unknown snakes based upon collected data. Individuals analyze two scatter plots and determine the most likely species for five additional data...
Inside Mathematics
Population
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Curated OER
Weighted Averages
Weighted averages can be tricky to explain! However, this study guide makes it easy for teachers by including definitions, explanations, and breaking down problems into three steps. Includes mixture problems and uniform motion problems.
Noyce Foundation
Apple Farm Field Trip
Monitor the growth of young mathematicians with a comprehensive addition and subtraction assessment. Using the context of a class field trip to an apple orchard, this series of four story problems allows children to demonstrate their...
Noyce Foundation
Pizza Crusts
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
Noyce Foundation
Time to Get Clean
It's assessment time! Determine your young mathematicians' understanding of elapsed time with this brief, five-question quiz.
Noyce Foundation
Mixing Paints
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...
University of Nottingham
Drawing to Scale: A Garden
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...
Virginia Department of Education
Using Order of Operations and Exploring Properties
If you need some creative ways to teach the order of operations, use a series of activities that focus on properties. Each activity uses different materials and works as a stand-alone activity, or can build upon the concepts of the last...
Noyce Foundation
Granny’s Balloon Trip
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
California Education Partners
Yum Yum Cereal
Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on shelves,...
California Education Partners
Miguel's Milkshakes
Moooove over, there's a better deal over there! The fourth segment in a series of eight requires individuals to determine the best unit cost for milk. Scholars calculate the least amount they can spend on a particular quantity of milk....
California Education Partners
Cady's Cats
How much can a cat eat? The five-question fraction assessment asks pupils to determine the fractional portion of a food box eaten by cats. Learners show their proficiency in adding and subtracting fractions using several scenarios...
California Education Partners
Summer Olympics
Quickly get to the decimal point. The last assessment in a nine-part series requires scholars to work with decimals. Pupils compare the race times of several athletes and calculate how much they have improved over time. During the second...
California Education Partners
Colorful Data
Scale up your lessons with a performance task. Young data analysts work through an assessment task on scaled bar graphs. They answer questions about a given scaled bar graph on favorite colors, analyze a bar graph to see if it matches...
Teach Engineering
Edible Rovers (High School)
Design and build a rover ... then eat it? This activity has groups of two design and build Mars rovers. The teams determine what instruments they want to include with their rover and plan a budget. They calculate the cost of the body of...
Noyce Foundation
Snail Pace
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!
Curated OER
Exponents Worksheet: 2 of 2
Not the most attractive worksheet, but useful nonetheless. A chart is displayed for mathematicians to fill in the power, base number, exponent, the repeated multiplication problem, and the total value. They complete this activity for...
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to quadratic...
Curated OER
Ratios and Proportions
This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...