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In Book 4 of the Math Clues Series, Geometry and Measurement, students will explore the basic concepts of geometry, including points, lines, perimeter, area, and volume. They will also learn about measurement, both standard and metric. Through the mastery of these skills, other mathematical skills of problem-solving and creative thinking are discovered.
ABOUT NUMBER THEORY AND GRAPHING: Lessons focus on the following skills: even & odd numbers; factors & multiples; prime factorization; divisibility rules; data & samples; range, mean, median, & mode; interpreting & constructing bar graphs, line graphs, & pie graphs; line plots; frequency tables; stem-and-leaf plots; and histograms. 88 pages.
The usage of mathematics brings our everyday experiences to life; not a day passes when we fail to encounter a skill in mathematics. The Math Clues Series is an extensive resource that provides a clear understanding of basic mathematical concepts. Developing the understanding of the relationship of one concept to another is demonstrated throughout the series. The language of mathematics is precise and the skill of each concept is fully developed with lessons, practice, and motivating story problems.
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Written by Charlene Zastrow and Rebecca Stark
The usage of mathematics brings our everyday experiences to life; not a day passes when we fail to encounter a skill in mathematics. The Math Clues Series is an extensive resource that provides a clear understanding of basic mathematical concepts. Developing the understanding of the relationship of one concept to another is demonstrated throughout the series. The language of mathematics is precise and the skill of each concept is fully developed with lessons, practice, and motivating story problems. ? ?In Book 1 of the series, Whole-Number Operations, students will explore the place-value structure of our base-ten number system. They will learn to perform the four basic operations. Students will also come to understand the meanings of these operations and how they relate to one another. Through the mastery of traditional whole-number computation skills, other mathematical skills of problem-solving and creative thinking are discovered. ? ?Whole-Number Operations is divided into three sections: ?
?Introduction and Review of Concepts? The lessons in this section present important mathematical concepts and teach students important computation skills. Step-by-step directions and easy-to-understand definitions clearly explain each concept and procedure. This section will serve as a useful reference guide for the lessons in the last two sections. ? ?Skill-Building Word Problems? Creative story problems use mystery and humor to hold students’ interest. Each lesson in this section deals with a particular skill and students are aware of the skill being practiced in each.?
?Challenge Word Problems? These pages add an additional challenge for students who understand all of the concepts and have mastered the computational skills covered in this resource. The same type of problems that were presented in the second section are presented in this section with one important exception—students are not told which skills are involved. ?
Grades 3–5. ?
?The lessons and activities in this book align with the following Common Core State Standards*:?CCSS.Math.Content.3.NBT.A ?CCSS.Math.Content.4.NBT.A,B ?CCSS.Math.Content.5.NBT.A,B ??Use place value understanding and properties of operations to perform multi-digit arithmetic. ?Generalize place value understanding for multi-digit whole numbers. ?Perform operations with multi-digit whole numbers and with decimals to hundredths. ?Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. ?Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. ?Fluently multiply multi-digit whole numbers using the standard algorithm. ?Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. ??*Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers ?Title: Common Core State Standards English Language Arts ?Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington, D.C. ?Copyright Date: 2010
Mathematics interweaves whole-number skills in a variety of formats to incorporate the understanding of rational numbers. Building a strong understanding of fractions, mixed numbers, and decimals opens the mind to new roads of mathematics. Usage of these skills brings our everyday experiences to life; there isn’t a day that goes by that we don’t encounter a skill in mathematics.
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Written by Charlene Zastrow and Rebecca Stark
Mathematics interweaves whole-number skills in a variety of formats to incorporate the understanding of rational numbers. Building a strong understanding of fractions, mixed numbers, and decimals opens the mind to new roads of mathematics. Usage of these skills brings our everyday experiences to life; there isn’t a day that goes by that we don’t encounter a skill in mathematics. ?
?Fractions, Decimals, & Percents is an extensive resource that provides a clear understanding of the concepts of fractions, mixed numbers, and decimals. Adapting whole-number skills to rational numbers gives the student the opportunity to experience the command of mathematics. The language of mathematics is precise and the skill of each concept is fully developed with lessons, practice, and motivating story problems. ?
?Fractions, Decimals, & Percents is divided into three sections: ?
?Introduction and Review of Concepts ? The lessons in this section present important mathematical concepts and teach students important computation skills. Step-by-step directions and easy-to-understand definitions clearly explain each concept and procedure. This section will serve as a useful reference guide for the lessons in the last two sections. ?
?Skill-Building Word Problems ? Creative story problems use mystery and humor to hold students’ interest. Each lesson in this section deals with a particular skill, and students are aware of the skill being practiced in each. ?
?Challenge Word Problems ? These pages add an additional challenge for students who understand all of the concepts and have mastered the computational skills covered in this resource. The same type of problems that were presented in the second section are presented in this section with one important exception—students are not told which skills are involved.? ?
?Grades 3–5. ?
?The lessons and activities in this book align with the following Common Core State Standards*: ? CCSS.Math.Content.3.NF.A ? CCSS.Math.Content.4.NF.A,B,C ? CCSS.Math.Content.5.NF.A,B ?
?Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. ? Develop an understanding of number, recognizing fractions, decimals, and percents as different representations of rational numbers. ? Understand decimal notation for fractions, and compare decimal fractions. ? Extend understanding of fraction equivalence and ordering. ? Build fractions from unit fractions. ? Use equivalent fractions as a strategy to add and subtract fractions. ? Apply and extend previous understandings of multiplication and division. ? Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. ? Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. ? Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators. ? Solve real world problems involving multiplication of fractions and mixed numbers. ? Interpret a fraction as division of the numerator by the denominator. Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers. ? Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. ? Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. ?
?*Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers ? Title: Common Core State Standards English Language Arts ? Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington, D.C. ? Copyright Date: 2010
Mathematics is much more than numbers, formulas, and theories. It is a vital, fascinating part of our daily lives. Whether we’re hitting a grand slam, making chocolate chip cookies, or reading a science-fiction novel, math helps us understand and enjoy the world in which we live.
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Written by Elizabeth Hoover.
Mathematics is much more than numbers, formulas, and theories. It is a vital, fascinating part of our daily lives. Whether we’re hitting a grand slam, making chocolate chip cookies, or reading a science-fiction novel, math helps us understand and enjoy the world in which we live.?
?The Tall-Tale Math Series is a comprehensive resource that empowers students by helping them understand and utilize the fundamentals of mathematics. Highly creative story problems spark curiosity and help students appreciate math as a powerful tool for solving real-life questions.?
?In Part 4 of the series, Data and Measurement, students will explore the fundamental principles of algebra, including equations, variables, algebraic expressions, and probabilities.?
?Data and Measurement is divided into three useful sections:?
?Review Sheets contain easy-to-understand definitions and examples that clearly explain particular concepts, such as “The Metric System.” In addition to providing valuable practice exercises, the sheets can also serve as handy reference guides.?
Skill-Builder Sheets present intriguing story problems that use humor, creativity, and mystery to engage students. Each sheet covers a specific concept, which is clearly labeled at the top of the page.?
?Extra-Practice Sheets are designed to add an additional challenge for students who have mastered the previous sheets. In addition to the basic concepts, students must use additional skills, such as measurement conversion, chart analysis, and selection of the most appropriate number form. These sheets give teachers the extra flexibility to tailor lessons based on grade level and ability.?
?Learning Objectives?Data and Measurement was designed to help instructors implement the National Council of Teachers of Mathematics Curriculum and Evaluation Standards. Aimed at students in grades 5 through 8, the sheets will help students meet the following specific objectives:? • understanding and applying the metric system? • converting customary units to metric units, and vice versa? • working with units of measurement for length, weight, area, volume, and capacity? • understanding and working with units of measurement for time and temperature? • utilizing information presented in an information table? • reading and applying information presented in line graphs? • reading and applying information presented in bar graphs? • reading and applying information presented in picture graphs? • reading and applying information presented in circle graphs? • connecting math to the world outside the classroom? • using investigation and reasoning to solve problems?
Grades 5–7. ?
?The lessons and activities in this book align with the following Common Core State Standards*: CCSS.Math.Content.4.MD.A.1 ? CCSS.Math.Content.5.MD.A.,B ? CCSS.Math.Content.6.SP.A.,B ? CCSS.Math.Content.7.SP.A.,B ?
?Represent and interpret data. ? Solve problems involving measurement and conversion of measurements. ? Convert like measurement units within a given measurement system. ? Know relative sizes of measurement units within one system of units. ? Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. ? Convert among different-sized standard measurement units within a given measurement system and use these conversions in solving multi-step, real world problems. ? Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. ? Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. ? Develop understanding of statistical variability. ? Summarize and describe distributions. ? Use random sampling to draw inferences about a population. ? Draw informal comparative inferences about two populations ?
?Grades 4 to 7.?
?*Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers ? Title: Common Core State Standards English Language Arts ? Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington, D.C. ? Copyright Date: 2010
Mathematics is much more than numbers, formulas, and theories. It is a vital, fascinating part of our daily lives. Whether we’re hitting a grand slam, making chocolate chip cookies, or reading a science-fiction novel, math helps us understand and enjoy the world in which we live.??The Tall-Tale Math Series is a comprehensive resource that empowers students by helping them understand and utilize the fundamentals of mathematics. Highly creative story problems spark curiosity and help students appreciate math as a powerful tool for solving real-life questions.??In Part 3 of the series, Geometry Basics, students will explore the fundamental principles of geometry, including perimeter, area, and volume. In addition, they will learn to identify various kinds of shapes, angles, and space figures.
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Written by Elizabeth Hoover.
Mathematics is much more than numbers, formulas, and theories. It is a vital, fascinating part of our daily lives. Whether we’re hitting a grand slam, making chocolate chip cookies, or reading a science-fiction novel, math helps us understand and enjoy the world in which we live.??The Tall-Tale Math Series is a comprehensive resource that empowers students by helping them understand and utilize the fundamentals of mathematics. Highly creative story problems spark curiosity and help students appreciate math as a powerful tool for solving real-life questions.??In Part 3 of the series, Geometry Basics, students will explore the fundamental principles of geometry, including perimeter, area, and volume. In addition, they will learn to identify various kinds of shapes, angles, and space figures.??Geometry Basics is divided into three useful sections: ??Review Sheets contain easy-to-understand definitions and examples that clearly explain particular concepts, such as “Types of Angles.” In addition to providing valuable practice exercises, the sheets can also serve as handy reference guides.??Skill-Builder Sheets present intriguing story problems that use humor, creativity, and mystery to engage students. Each sheet covers a specific concept, which is clearly labeled at the top of the page.??Extra-Practice Sheets are designed to add an additional challenge for students who have mastered the previous sheets. In addition to the basic concepts, students must use additional skills, such as measurement conversion, chart analysis, and selection of the most appropriate number form. These sheets give teachers the extra flexibility to tailor lessons based on grade level and ability.??Special Note: Several problems, such as those involving imperfect square roots and p, will be easier to solve with the help of a calculator. Pages with a strong requirement for a calculator are labeled “Calculator!” at the top of the page.??Learning Objectives?
Aimed at students in grades 5 through 8, the sheets will help students meet the following specific objectives:? • identifying and working with points, lines, and planes? • identifying kinds of quadrilaterals and triangles? • identifying the properties of a circle? • understanding and working with p? • recognizing similar and congruent figures? • using formulas to determine the perimeter of various shapes? • using formulas to determine the area of various shapes? • using formulas to determine the volume of various shapes? • understanding and working with ratio and proportion? • understanding and working with square roots? • using the Pythagorean Theorem to solve problems? • connecting math to the world outside the classroom? • using investigation and reasoning to solve problems? ? Grades 4–7. ? ?The lessons and activities in this book align with the following Common Core State Standards*: ? CCSS.Math.Content.5.G.A,B ? CCSS.Math.Content.6.G.A. ? CCSS.Math.Content.7.G.A,B ? CCSS.Math.Content.8.G.A,B ?
?Graph points on the coordinate plane to solve real-world and mathematical problems. ? Understand that attributes belonging to a category of 2-dimensional figures also belong to subcategories of that category. ? Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. ? Draw construct, and describe geometrical figures and describe the relationships between them. ? Draw geometric shapes with given conditions. ? Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. ? Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. ? Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. ? Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. ? Understand congruence and similarity using physical models, transparencies, or geometry software. ? Understand and apply the Pythagorean Theorem. ? Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. ?
?*Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers ? Title: Common Core State Standards English Language Arts ? Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington, D.C. ? Copyright Date: 2010
Mathematics is much more than numbers, formulas, and theories. It is a vital, fascinating part of our daily lives. Whether we’re hitting a grand slam, making chocolate chip cookies, or reading a science-fiction novel, math helps us understand and enjoy the world in which we live.
Mathematics is much more than numbers, formulas, and theories. It is a vital, fascinating part of our daily lives. Whether we’re hitting a grand slam, making chocolate chip cookies, or reading a science-fiction novel, math helps us understand and enjoy the world in which we live.