I am reaching out to let you know that I have just completed a new resource for intermediate and middle school teachers entitled Algebraic Thinking for Grades 5-9.
The resource focuses on the two important strands of algebraic thinking: patterns and relations and solving equations. Lessons include open-ended prompts, direct instruction and age-appropriate manipulatives use to promote the big ideas in algebraic thinking.
Content includes: increasing and decreasing patterns, generalizing from a T-table, describing and graphing linear relations in all 4 quadrants, explorations of slope (positive, negative, whole number and fractional) as well as y-intercept and the general form of a line, interpolation and extrapolation, operations on integers, solving equations, monomial and binomial multiplication using the distributive property, converting word problems to algebraic equations and more!
A range of strategies for developing mathematical language, for addressing diversity and for authentic assessment are featured in this 250 page teacher resource book. Algebra tiles, number balances and 4-pan algebra balances are used to model relations and to represent and solve advanced algebraic equations. Games, problems and levelled practice are included in each lesson, allowing for extensions and support as needed. Manageable and accessible digital scaffolds are highlighted, including virtual manipulatives and graphing tools.
This resource also features 23 embedded video clips — mini lessons on important algebraic concepts and demonstrations of how to use algebra tiles, colour tiles, the number balance and 4-pan algebra balance — as a way to support teachers and their students in grasping important algebraic ideas. These videos can be used by teachers to preview a lesson or by teachers and their students in a face-to-face or virtual setting.
Algebraic Thinking for Grades 5-9 is available from my online store for $50. Order now by visiting mindfull.ecwid.com — just in time for our return to school (in whatever form that takes!).
Thanks as always for your support.
Here’s to a new year…!
For 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.