【實用教育app】Numbers and Operations (2) – Fractions/Decimals/Percents/Ratios from Elevated Math|最夯免費app

Twenty-five lessons provide initial instruction or intervention to help students with concepts involving fractions, decimals, exponents and powers, and percents. Five of these lessons develop and deepen an understanding of mathematical concepts and relationships. Lessons include diagrams and illustrations of fraction strips, hundredths squares, number lines, grids, Venn diagrams, factor trees, symbols, drawings, and blocks. Problem solving is an integral part of each lesson. M4.1 Concepts of Fractions, Ratios and PercentsM4.2 Concepts of Decimal Place Value and Fraction and Percent EquivalentsM4.3 Factors and Prime FactorizationM4.4 Prime Factorization, GCF, and LCMM4.5 Simplifying and Converting FractionsThe next seven lessons present instruction in decimal operations, exponents and powers. When working with decimal numbers, student success depends on an understanding of whole numbers and place value. Students are hindered if a solid conceptual foundation is not built. In lessons 5.1 and 5.2 students use number lines to establish an understanding of relative location while converting, comparing, and ordering fractions and decimals. Lessons 5.3, 5.4, and 5.5 apply the four basic operations of adding, subtracting, multiplying and dividing. These lessons utilize models, illustrations, and/or diagrams to reinforce conceptual understanding of the content and development of algorithms. Lessons 5.6 and 5.7 help students develop a solid understanding of these unique numbers in contexts encountered outside the classroom in everyday life or in other subject areas. Estimation strategies and “reasonableness of answer” thinking are stressed throughout these lessons to develop the student’s number sense and flexibility of thought.M5.1 Rounding and Comparing DecimalsM5.2 Converting, Comparing, and OrderingM5.3 Adding and Subtracting DecimalsM5.4 Multiplying DecimalsM5.5 Dividing DecimalsM5.6 Exponents and PowersM5.7 Scientific NotationThe next six lessons integrate diagrams, models, and illustrations of egg cartons, fraction strips, and fraction circles to help students develop conceptual understanding of what takes places when fractions are added, subtracted, multiplied and divided. Estimation strategies and “reasonableness of answer” thinking are stressed.M6.1 Adding and Subtracting Fractions with Like DenominatorsM6.2 Adding Fractions with Unlike DenominatorsM6.3 Subtracting Fractions with Unlike DenominatorsM6.4 Adding and Subtracting Mixed NumbersM6.5 Multiplying FractionsM6.6 Dividing FractionsThe last seven lessons focus on ratio, proportion, percent, and problem solving with percents. Models are used to differentiate between perfect squares up to 100 and other numbers, students recognize and identify perfect squares and their square roots, and students solve problem situations involving square roots and perfect squares in lesson 7.1. The lessons include:M7.1 Square RootsM7.2 Finding PercentsM7.3 Decimal and Percent EquivalentsM7.4 Ratios, Rates, and Proportional ReasoningM7.5 Percent ProportionsM7.6 Using Percent EquationsM7.7 Problem Solving with PercentsStudent print materials and Teachers' notes are available for download at www.elevatedmath.com.Download the free Elevated Math app to view two complimentary lessons or buy the lessons individually.

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