Bits & Pieces 1: Understanding Rational Numbers (Connected Mathematics 2) by Glenda Lappan
Comparing Bits and Pieces 1.1 A
Comparing Bits and Pieces
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Students use mathematics to represent, describe and model the world around them. Each class period allows students to strengthen their resolve to be effective and efficient problem-solvers, collaborate with classmates, and improve their ability to explain their solutions with solid mathematical reasoning. There is an emphasis on why questioning, rather than rote practice of a learned algorithm. There are frequent checks for understanding during each unit. Students are asked to reflect on their mathematical learning at the end of each unit. The sixth-grade journey results in mastery of arithmetic algorithms, operations with decimals, operations with fractions, order of operations, ratio, proportion, percent, spatial geometry, beginning algebra, and data analysis.
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In Prime Time , students will explore important properties of whole numbers. Many of these properties are related to multiplication and division. The Investigations will help students understand relationships among factors, multiples, divisors, and products. Students will also learn how the Distributive Property relates multiplication and addition. The Investigations in this Unit will help students understand the following ideas. When your child encounters a new problem, it is a good idea to ask these questions. In this Unit, you might ask questions such as:.
Menu Quantile Tools. Main Menu. Represent fractions concretely and symbolically, including representing whole numbers as fractions. Find the fractional part of a whole number or fraction with and without models and pictures. Use benchmark numbers zero, one-half, one and models to compare and order fractions. Use models to write equivalent fractions, including using composition or decomposition or showing relationships among halves, fourths, and eighths, and thirds and sixths.