Targeted intervention program for english language learners[1]

Editor's Notes

• #14: M(N&O)–5–1 Demonstrates conceptual understanding of rational numbers with respect to: whole numbers from 0 to 9,999,999 through equivalency, composition, decomposition, or place value using models, explanations, or other representations; and positive fractional numbers (proper, mixed number, and improper) (halves, fourths, eighths, thirds, sixths, twelfths, fifths, or powers of ten (10, 100, 1000)), decimals (to thousandths), or benchmark percents (10%, 25%, 50%, 75% or 100%) as a part to whole relationship in area, set, or linear models using models, explanations, or other representations. (State) M(N&O)–5–2 Demonstrates understanding of the relative magnitude of numbers by ordering, comparing, or identifying equivalent positive fractional numbers, decimals, or benchmark percents within number formats (fractions to fractions, decimals to decimals, or percents to percents); or integers in context using models or number lines. (State)M(N&O)–5–3 Demonstrates conceptual understanding of mathematical operations bydescribing or illustrating the meaning of a remainder with respect to division of whole numbers using models, explanations, or solving problems. (State)  M(N&O)–5–4 Accurately solves problems involving multiple operations on whole numbers or the use of the properties of factors, multiples, prime, or composite numbers;and addition or subtraction of fractions (proper) and decimals to the hundredths place. (Division of whole numbers by up to a two-digit divisor.) (State)M(PRP)–5–1 Students will use problem-solving strategies to investigate and understand increasingly complex mathematical content and be able to:Determine the reasonableness of solutions to real-world problems. Generalize solutions and apply strategies to new problem situations.Add to the repertoire of problem-solving strategies (e.g., looking for similar problems) and use those strategies in more sophisticated ways.Solve problems with multiple solutions, recognize when a problem has no solution, and recognize problems where more information is needed.Translate results of a computation into solutions that fit the real-world problem (e.g., when a computation shows that one needs 3.2 gallons of paint to paint a room, how much paint do you buy?).M(PRP)–5–2 Students will use mathematical reasoning and proof and be able to: Draw conclusions and solve problems using elementary deductive reasoning and reasoning by analogy.Make and defend conjectures and generalizations.Use models, known facts, properties, and relationships to explain thinking and to justify answers and solution processes.Recognize the pervasive use and power of reasoning as a part of mathematics.M(CCR)–5–1 Students will communicate their understanding of mathematics and be able to: Discuss mathematical ideas and write convincing arguments.Understand, explain, analyze, and evaluate mathematical arguments and conclusions presented by others.Ask clarifying and extending questions related to mathematics they have heard or read about.Understand and appreciate the economy and power of mathematical symbolism and its role in the development of mathematics.Demonstrate an understanding of mathematical concepts and relationships through a variety of methods (e.g., writing, graphing, charts, diagrams, number sentences, or symbols).Use a variety of technologies (e.g., computers, calculators, video, probes)to represent and communicate mathematical ideas.