West Contra Costa Unified School District
Divisibility Rules Justified
How do you know if a number is divisible? Instructors first prove the divisibility rules for three and four and then class members use this modeling to prove given divisibility rules for eight and nine either individually or in...
Curated OER
Divisibility Tests
It's not a short cut, just good old fashion number sense, but kids will love it. This presentation does a wonderful job describing the divisibility rules by showing how each one works, reviewing the rules as a collective and providing an...
Illustrative Mathematics
Function Rules
Function machines are a great way to introduce the topic of functions to your class. Here, you will explore the input and output to functions both using numerical and non-numerical data. Learners are encouraged to play with different...
National Security Agency
Introducing Integers and Their Operations
There's nothing negative about this mini-unit on integers! Engaging young mathematicians in a series of hands-on activities and collaborative learning opportunities, this resource offers an excellent way to introduce your class...
EngageNY
Ruling Out Chance (part 1)
What are the chances? Teach your classes to answer this question using mathematics. The first part of a three-day lesson on determining significance differences in experimental data prompts learners to analyze the data by...
EngageNY
Ruling Out Chance (part 2)
Help your classes find the significance in this lesson! Learners analyze the probability of Diff values. They then determine if the difference is significant based on their probability of occurrence.
Curated OER
Parent Functions Review Sheet
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet...
Curated OER
Dynamic Divisibility
Students examine the rules of divisibility for the numbers 2, 3, 5, 6, 9 and 10. They apply these rules to larger numbers.
Houghton Mifflin Harcourt
Write Function Rules Using Two Variables
Fabulous functions are the focus of this handout. Middle school math pupils complete input/output tables and answer questions about the values. Each of the three equations contains two variables. This simple worksheet would be useful as...
Math Solutions
Factor Game
Learning about factors and multiples is all fun and games with this simple math activity. The lesson begins with the teacher and class playing the Factor Game together as students figure out the rules and uncover key...
Curated OER
Quarter Sorter
Graphing and sorting are such important skills for young learners to understand. Here, they will be given quarters to examine, they must come up with a sorting rule by which they will use to sort the quarters. They will sort their...
Curated OER
Arithmetic Patterns
Introduce your young math scholars to functions. Because the answer is explained at the bottom of the page, consider projecting this and covering it up until you hear the class responses. They observe a rule (in this case to add 15) and...
EngageNY
Ruling Out Chance (part 3)
Pupils analyze group data to identify significant differences. They use simulation to create their own random assignment data for comparison.
Illustrative Mathematics
“Crossing the Decade” Concentration
Young mathematicians concentrate on learning to fluently count. Following the rules of the classic game Memory, children take turns flipping over cards in order to find pairs of numbers that cross a decade (e.g. 29 and 30). For younger...
Mascil Project
Building a Safe Staircase
Climb up the staircase of engineering knowledge. After watching a video of a carpenter measuring out steps for a set of stairs, pupils learn about the terminology and regulations involving stairs. They see how to use a rule of thumb when...
Teach Engineering
Discovering Phi: The Golden Ratio
Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios...
Curated OER
Real-World Probability
Students explore the concept of probability. In this probability lesson, students create a video, poster, or podcast explaining what experiments, sample space, events, and outcomes are in relation to probability. Students...
Curated OER
Alice in Fractalland
Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...
College Board
2003 AP® Calculus BC Free-Response Questions
There are shaded areas, particles, polar equations, oh my! Teachers use the materials to see how their pupils compare to the AP® Calculus BC exam expectations. Scholars use the released items to practice on several BC topics and become...
College Board
2008 AP® Calculus BC Free-Response Questions Form B
This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...
College Board
2005 AP® Calculus BC Free-Response Questions Form B
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
Curated OER
Fill the Number Grid
Patterns emerge as the class works together to fill in a number grid. This whole group activity is designed to make all learners feel successful, and ultimately turns into a lesson on the least common multiple.
Curated OER
Functions - Intro and Inverses
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
Curated OER
Review Games
There are a multitude of games for reviewing almost any subject matter or lesson. The rules can be adapted to fit your own needs and levels. Most of these games have been borrowed from others and adapted. Football Review, Baseball...