West Contra Costa Unified School District
Graphing Exponential Functions
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
Noyce Foundation
Once Upon a Time
Examine the relationship between time and geometry. A series of five lessons provides a grade-appropriate problem from elementary through high school. Each problem asks learners to compare the movement of the hands on a clock to an angle...
Noyce Foundation
The Shape of Things
Investigate the attributes of polygons. A thorough set of lessons presents problem scenarios for elementary through high school classes. The first lessons focus on basic characteristics of polygons, including the line of symmetry. As the...
Noyce Foundation
Surrounded and Covered
What effect does changing the perimeter have on the area of a figure? The five problems in the resource explore this question at various grade levels. Elementary problems focus on the perimeter of rectangles and irregular figures with...
Noyce Foundation
Perfect Pair
What makes number pairs perfect? The resource provides five problems regarding perfect pairs of numbers, the definition of which changes in complexity with each task. Solutions require pupils to apply number sense and operations, as well...
Noyce Foundation
Piece it Together
Score some problems all related to soccer balls. The first few problems focus on pattern blocks to see relationships between figures. More advanced problems focus on actual soccer balls, the patterns on the balls, and their volumes and...
Noyce Foundation
Diminishing Return
Challenge individuals to compete as many tasks as possible. Lower-level tasks have pupils apply costs and rates to solve problems. Upper-level tasks add algebraic reasoning and conditional probability to the tasks.
Noyce Foundation
Fractured Numbers
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
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...
California Education Partners
John's Trip Disneyland
It all adds up to one. Pupils solve several items that involve finding sums of fractions in relationship to a whole. The assessment task uses fractions with unlike denominators to determine the amount of a tank of gas and the amount of...
T. Smith Publishing
Big Bear, Little Bear Opposite Worksheet
Young readers engage in a counting and writing worksheet. They color the big bear's shoes orange and the little bear's blue. They write the words "big" under the big bear, and "little" under the little bear. They count how many balls the...
Curated OER
Counting Rabbits
You've heard of counting sheep, but what about counting rabbits? This is a fun way to approach data analysis with young mathematicians. Examining a chart, they see how many times James and his family saw rabbits in their yard over a...
K5 Learning
Will the Wolf
How well can a wolf survive without a pack? Third graders read about headstrong Will and his desire to be an independent wolf with a short story and series of comprehension questions.
Howard Hughes Medical Institute
Winogradsky Columns: Microbial Ecology in the Classroom
Winogradsky columns are ideal for observing the role of bacteria and other microorganisms in an ecosystem. This student activity guide is complete with data tables for observations and analysis questions for processing what was observed....
Statistics Education Web
You Will Soon Analyze Categorical Data (Classifying Fortune Cookie Fortunes)
Would you rely on a fortune cookie for advice? The lesson first requires future statisticians to categorize 100 fortune cookie fortunes into four types: prophecy, advice, wisdom, and misc. The lesson goes on to have learners use...
EngageNY
Counting Rules—Combinations
Discover how combinations are different from permutations. In the third installment of a 21-part module, scholars learn how to determine combinations of objects. They learn to distinguish between situations where order is important and...
California Education Partners
Linflower Seeds
How does your garden grow? Use proportions to help Tim answer that question. By using their understanding of proportional relationships, pupils determine the number of seeds that will sprout. They create their own linear...
California Education Partners
Photos
Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit...
California Education Partners
Speedy Texting
Model the effects of practice on texting speed. Pupils develop a linear equation that models the change in texting speed based on the amount of practice. The sixth performance task in an eight-part series requires learners to solve...
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...
101 Questions
Wedding Cake Ribbon
Customers often want ribbon around fancy cakes, but how does a baker know how much ribbon to buy? Scholars view a cake with multiple layers in different geometric shapes. They must figure the perimeter and circumference and add them...
American Statistical Association
EllipSeeIt: Visualizing Strength and Direction of Correlation
Seeing is believing. Given several bivariate data sets, learners make scatter plots using the online SeeIt program to visualize the correlation. To get a more complete picture of the topic, they research their own data set and perform an...
Statistics Education Web
The Egg Roulette Game
Hard boiled or raw? Which egg will you get? A hands-on activity has scholars explore the impact of conditional probability. Based on a skit from the Tonight Show, pupils model the selection of the two types of eggs using beads. They...
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...