Build a lasting foundation for math proficiency right from the start The ‘math’ is on the wall: unless we can instill in our youngest mathematicians a solid understanding of number sense, they have little hope of mastering the more rigorous fractions and algebra that lie ahead. A key piece is identifying precisely where students are likely to struggle, then intervening with smart, targeted instruction. That's where Witzel and Riccomini's Building Number Sense Through the Common Core fits in.Grounded in research-supported instruction with aligned assessments to ensure comprehension, this essential resource provides: Teaching strategies that build number sense skills, including quantity and cardinality, numeral/number recognition, fact fluency, math language, and moreAdaptations for students with specific needs, including English learners and students with disabilities, based on an RTI approach Guidance on measuring number sense through assessments and preparing students for standardized testingUser-friendly charts, tables, and sample math problems for planning curriculum and lessons Discover strategies that enable your students to develop a fundamental sense for numbers and create a lasting foundation for math proficiency! ‘The authors describe how each common standard should be taught, which makes this a quick and immensely useful resource. I've already begun using the strategies with my fellow teachers.’ Deborah Gordon, Third-Grade TeacherMadison School District, Phoenix, AZ ‘This is an evidence based, accessible manual on how, why, and what to teach. Well written with effective examples and scenarios to illustrate key points, this book should be read by anyone interested in improving outcomes for children in mathematics.’ Annmarie Urso, Assistant ProfessorState University of New York at Geneseo
Chapter 7: Applications in Algebra, Geometry, and Measurement
Applications in Algebra, Geometry, and Measurement
A man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself. The larger the denominator, the smaller the fraction.
Computation and number sense are important to preparing young learners for mathematical success. However, there is much more to mathematics. As Gersten, Clarke, Haymond, and Jordan (2011) stated, while early number sense should be built wisely, even the best predictors are not perfect in their prediction of math achievement when concepts become more abstract.
Although algebra, geometry, and measurement are combined in this chapter as applications of number sense, they are each important and deserve emphases in an early childhood curriculum. Additionally, although they are separated ...