Students practice counting sequences by standing in a circle and counting one by one.

In this investigation students explore the concept of ratios and their relationship with factors and multiples. Given an assortment of cogs (gears) with different numbers of teeth, solvers are asked to find which pairs allow for each tooth of one to fit into every gap of the other, and to form conjectures regarding which pairs would work generally. The problem is well-suited for group work. The Teachers' Notes page offers suggestions for implementation, key questions, student sheets, and links to articles, videos, and an interactive Cog Environment (cataloged separately).

This problem gives children an opportunity to explore an increasing pattern and then generalize the results with a rule. Students begin with a single counter, surround it by a ring of other counters and then each new ring is surrounded with more counters. Solvers record results as they replicate the pattern and make predictions about many counters there will be in any given ring. The Teachers' Notes page offers suggestions for implementation, key discussion questions, ideas for extension and support.

Students who work on this task will benefit in seeing that given a quantity, there is often more than one way to represent it, which is a precursor to understanding the concept of equivalent expressions.

This article profiles Linda Deegan, scientist with the Arctic Long-Term Ecological Research site in the Kuparuk River region of Alaska, as she counts and tags Arctic grayling as they migrate from streams to lakes in the fall.

This task gives students another way to practice counting and gain fluency with connecting a written number with the act of counting. This task should be introduced by the teacher and would then be a good independent center.

The most engaging way to practice counting with students is to have them count meaningful things in their lives. Since five-year-olds are very focused on themselves this is easily done by allowing them to count themselves, their friends and objects within the classroom that relate to their daily lives.

This three-act math task utilizes videos and questioning to help students explore counting and patterns.

This challenging problem and brainteaser gives first graders an opportunity to compose and decompose squares.

This is an instructional task related to deepening place-value concepts. The important piece of knowledge upon which students need to draw is that 10 tens is 1 hundred.

Using solar images and date obtained from Astronomical Observatory of the University of Coimbra lets you study the sunspots and their behaviour over days.

Using solar images and date obtained from Astronomical Observatory of the University of Coimbra lets you study the sunspots and their behaviour over days.

The objective of this lesson is to gain automaticity counting to 100 and to establish the importance of multiples of ten. The final goal of this lesson is for students to be able to count by tens and articulate the term for this.

In these lessons students will explore the paintings of Horace Pippin and Wayne Thiebaud and the mobiles of Alexander Calder to discover and practice math and visual art concepts. Background and biographical information about the work of art and artist, guided looking with class discussion, and activities with worksheets using mathematical formulas and studio art provide the framework for each lesson.

Students learn about local and planetary physical geography / geology, toponymy, planetary landing site selection and cartography. The students learn a complex process of landscape evaluation and city planning, based on the interpretation of photomaps or digital terrain models.

Students learn about local and planetary physical geography / geology, toponymy, planetary landing site selection and cartography. The students learn a complex process of landscape evaluation and city planning, based on the interpretation of photomaps or digital terrain models.

This interactive timeline places American country music’s foundational roots and evolving sound into the context of broader events and movements in U.S. history. It provides specific examples of how the history of country music can be used to illuminate important themes in U.S. history including systemic racism, immigration, and technological innovation.

This resourch will help your students to practice use with Culture Grams in the Utah Online Library. This will help them build a foundation of what they need to have to use the resource effectively through completing a variety of tasks. 

This brief article discusses the Count the Beat project, which incorporates music into math instruction. The instructors in this project began each lesson with a brief math exercise followed by a more in-depth music task utilizing number lines, fractions, ratios, and/or probability. While music professionals carried out this project the article does offer some suggestions for application in the math classroom without music professional.