Numbers and Operations (2) – Fractions/Decimals/Percents/Ratios from Elevated Math at Mac App Store analyse

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 Percents M4.2 Concepts of Decimal Place Value and Fraction and Percent Equivalents M4.3 Factors and Prime Factorization M4.4 Prime Factorization, GCF, and LCM M4.5 Simplifying and Converting Fractions The 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 Decimals M5.2 Converting, Comparing, and Ordering M5.3 Adding and Subtracting Decimals M5.4 Multiplying Decimals M5.5 Dividing Decimals M5.6 Exponents and Powers M5.7 Scientific Notation The 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 Denominators M6.2 Adding Fractions with Unlike Denominators M6.3 Subtracting Fractions with Unlike Denominators M6.4 Adding and Subtracting Mixed Numbers M6.5 Multiplying Fractions M6.6 Dividing Fractions The 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 Roots M7.2 Finding Percents M7.3 Decimal and Percent Equivalents M7.4 Ratios, Rates, and Proportional Reasoning M7.5 Percent Proportions M7.6 Using Percent Equations M7.7 Problem Solving with Percents Student 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.