Tag Archives: proportional reasoning

New Resource! MORE Good Questions for grades 5-8

Friends …

I am immensely pleased to announce the release of my latest volume of problems for intermediate and middle school classrooms.

More Good Questions: A Year of Open Ended Math Problems for Grades 5-8 is exactly that — a series of 220 tasks to inspire thinking, connection-making and reasoning for today’s diverse math classrooms.

In this second volume of problems, students will engage with tasks involving the operations, proportional reasoning, measurement and patterns designed to promote mathematical capacity.  Problems are structured in sets of 5, clustered by topic, strategy or big math idea.  Each task is slightly more complex than the last to allow for conceptual development over the course of a week.  Problem sets can also be used as an intact set of 5, allowing students to choose the problem that is just right for them.  

Intended to be used daily, these problems are designed to promote mathematical curiosity and connection-making. The richness comes from the shared discussion and comparison of strategies.  The more we share our thinking the smarter we all become!

Check it out at mindfull.ecwid.com.

Stay tuned for the Grades 2-4 version coming soon!

NEW Resource! Proportional Reasoning in Grades 4-8

proportional-reasoning-coverFor those who have been patiently waiting (and lovingly nagging!) I am happy to announce the publication of my newest math teaching resource: Proportional Reasoning in Intermediate for Grades 4-8, available now through my online store.

This resource for teachers of Grades 4 to 8 presents more than 250 pages of open-ended lessons, meaningful practice, games, literature connections and a wealth of problem-solving contexts for supporting students to make sense of fractions, decimals, percentages, ratios and proportions. Designed for today’s diverse classrooms, this resource offers a range of tasks to promote proportional thinking through intentional development of mathematical language and the use of key manipulatives. Colour tiles, Cuisenaire rods and tangrams are used to model and make connections within and between concepts.

In the first section of the resource, students will explore three models – set, area and linear – for representing and describing, comparing and ordering fractions. Students will learn to convert between fractions, decimals and percent and to apply these skills to problem situations, including measurement, tax, discounts and data management. Next, students learn to add and subtract fractions, to solve proportions using a range of strategies (involving both mental math and the appropriate use of technology) and then finally to multiply and divide fractions.

Assessment tools are threaded throughout the resource to allow teachers to keep track of student progress and to make instructional decisions.   

 
 
 
 

Proportional reasoning IS the math we do every day.  This resource provides an access point for all.

 

Enjoy!