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#
Math Trailblazers, Fourth Edition

## PROGRAM FEATURES

Grade Levels: Kindergarten , Elementary

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In Kindergarten, *Math Trailblazers* focuses on:

• Activities, discussions, and explorations to develop understanding with concepts related to whole number and sets of objects (representing, relating, and operating on whole numbers).

• Experiences to develop ideas surrounding descriptions of shapes and space.

*Math Trailblazers* is built upon the tenet that children develop knowledge of math concepts through their interactions with people and things. Mathematical concepts are developed through play, the solving of realistic problems, open-ended activities and a variety of story situations and representations. It provides all the resources teachers need to prepare their kindergarten classroom, meet the Common Core State Standards, and create a formal learning environment where students can apply prior mathematical knowledge to discover, explore, and develop concepts.

**Teacher Components**

Teacher Resource Guide is a three-volume set that contains everything a Kindergarten teacher needs to establish a rich and inviting classroom environment. It is comprised of Get Started materials, daily lessons and activities, assessment tools, student masters, and a comprehensive glossary of student-friendly terms.

Flourish, the Kendall Hunt digital learning network, gives teachers access to digital* Math Trailblazers* components, resources, activities and more.

**Student Components**

Student Masters are referenced in lessons and teacher planning. These give students the necessary workspace and pages to complete activities and engage with games, projects and routines. Each month, a Letter Home provides the connection between school and home to inform family members of content to be covered.

**Teacher Resources**

Math Trailblazers: Kindergarten Teacher Resource Guide, Volumes 1, 2 & 3

- Rosie's Walk Tradebook
- Mouse Count Tradebook
- Zero Tradebook
- When A Line Bends...A Shape Begins Tradebook
- What I Like About Me Tradebook
- The Very Hungry Caterpillar Tradebook
- The Three Little Pigs Tradebook
- There Was An Old Lady Who Swallowed A Fly Tradebook
- Ten Flashing Fireflies Tradebook
- Six-Dinner Sid Tradebook
- Shapes, Shapes, Shapes Tradebook
- One Is A Snail, Ten Is A Crab Tradebook
- The Napping House Tradebook
- Jessica Tradebook
- Goldilocks and the Three Bears Tradebook
- Five Creatures Tradebook
- Cubes, Cones, Cylinders, And Spheres Tradebook
- A Color Of His Own Tradebook
- City By Numbers Tradebook
- Anno's Counting Book Tradebook
- 1, 2, 3 To The Zoo Tradebook
- Five Little Monkeys Jumping on the Bed Tradebook

CLASSROOMS/TEACHERS

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In first grade, *Math Trailblazers* focuses on:

• Students develop strategies for adding and subtracting whole numbers. They use direct models, counting strategies, and reasoning strategies to model and solve a variety of join, separate, part-whole, and compare problems.

• Using these strategies, students further develop their understanding of the properties of and relationship between addition and subtraction.

• Students develop an understanding of the unit of 10 as they compose and decompose numbers through 200.

• They develop strategies to add and subtract multiples of ten. Students then compare and problem-solve with these larger numbers.

• Students use this understanding to measure length.

• Students analyze and describe two-dimensional and three-dimensional shapes, and partition shapes into equal shares to solve problems.

**Teacher Components**

The Teacher Guide is the teacher's primary digital resource. Everything needed for planning and instruction of eloquently designed, rich, and effective lessons is included. This features easy access to lesson planning resources, instructional tips, discussion prompts, content notes, assessment and student materials that assist in making lesson instruction and preparation seamless. The Teacher Guide also provides access to student resources, interactive activities, audio and animation features that will give each lesson a high level of interest and engagement.

Or if you prefer to use print resources for classroom lesson implementation, Teacher Lesson Plans books are available. This print component is a companion to the Teacher Guide. Teacher Lesson Plans provide lesson overviews, pacing /materials details, in class assessment, discussion prompts, and student views.

**Student Components**

The Student Activity Book for grades 1 and 2, is the primary student component for students to access lesson context, activities, workspace and practice that are involved with the lesson learning objectives. Student activities within each lesson fosters communication and collaboration both individually and in group settings. This print consumable contains literature connections, vocabulary, and reference resources that provide a continuum for grade level learning. These are the building blocks for reaching mathematical understanding and meaning. The use of this core student component includes access to digital student site activities and resources.

The Student Site for grades 1 and 2 provides interactive support resources such as games, a glossary, practice and literature connection, Adventure Books. Interactive References introduce students and their families to various problem solving strategies. Students from the *Math Trailblazers* classroom act as student coaches, walking through the problem-solving process. These animations can be referred to throughout the year as students work through concepts at their own pace.

Flourish, the Kendall Hunt digital learning network, gives teachers, students and parents access to digital *Math Trailblazers* components, resources, activities and more.

CLASSROOMS/TEACHERS

STUDENTS

GROUPS

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In second grade, *Math Trailblazers* focuses on:

• Students continuing to develop reasoning strategies allowing them to become more fluent with addition and subtraction facts.

• Students extend their understanding of the unit of 10 and of the base-ten number system to develop place-value concepts.

• Using place-value concepts and the properties of addition and subtraction to develop mental math strategies, conceptual models, and standard algorithms for multi-digit addition and subtraction.

• Students develop methods for measuring and comparing lengths measured in different-sized standard and nonstandard units.

• Students using equal groups of objects or equal partitions of a shape to develop foundations for multiplication and division.

**Teacher Components**

The Teacher Guide is the teacher's primary digital resource. Everything needed for planning and instruction of eloquently designed, rich, and effective lessons is included. This features easy access to lesson planning resources, instructional tips, discussion prompts, content notes, assessment and student materials that assist in making lesson instruction and preparation seamless. The Teacher Guide also provides access to student resources, interactive activities, audio and animation features that will give each lesson a high level of interest and engagement.

Or if you prefer to use print resources for classroom lesson implementation, Teacher Lesson Plans books are available. This print component is a companion to the Teacher Guide. Teacher Lesson Plans provide lesson overviews, pacing /materials details, in class assessment, discussion prompts, and student views.

**Student Components**

The Student Activity Book for grades 1 and 2, is the primary student component for students to access lesson context, activities, workspace and practice that are involved with the lesson learning objectives. Student activities within each lesson fosters communication and collaboration both individually and in group settings. This print consumable contains literature connections, vocabulary, and reference resources that provide a continuum for grade level learning. These are the building blocks for reaching mathematical understanding and meaning. The use of this core student component includes access to digital student site activities and resources.

The Student Site for grades 1 and 2 provides interactive support resources such as games, a glossary, practice and literature connection, Adventure Books. Interactive References introduce students and their families to various problem solving strategies. Students from the *Math Trailblazers* classroom act as student coaches, walking through the problem-solving process. These animations can be referred to throughout the year as students work through concepts at their own pace.

Flourish, the Kendall Hunt digital learning network, gives teachers, students and parents access to digital *Math Trailblazers* components, resources, activities and more.

CLASSROOMS/TEACHERS

STUDENTS

GROUPS

BUILD MY PROGRAM

In third grade, *Math Trailblazers* focuses on:

• Students applying place value concepts to continue developing fluency and competency with multi-step, multi-digit addition and subtraction problems.

• Students use of mental math strategies, conceptual models, and paper-and-pencil procedures to solve multiplication and division problems.

• Making connections using drawings, number lines, rectangular arrays, tables, and graphs to reason about multiplication and division and the relationship between them.

• Developing efficient strategies for the multiplication facts.

• Students developing models for comparing and finding equivalent fractions.

• Describing, analyzing, and classifying polygons and polyhedra using their properties.

**Teacher Components**

The Teacher Guide is the teacher's primary digital resource. Everything needed for planning and instruction of eloquently designed, rich, and effective lessons is included. This features easy access to lesson planning resources, instructional tips, discussion prompts, content notes, assessment and student materials that assist in making lesson instruction and preparation seamless. The Teacher Guide also provides access to student resources, interactive activities, audio and animation features that will give each lesson a high level of interest and engagement.

Or if you prefer to use print resources for classroom lesson implementation, Teacher Lesson Plans books are available. This print component is a companion to the Teacher Guide. Teacher Lesson Plans provide lesson overviews, pacing /materials details, in class assessment, discussion prompts, and student views.

**Student Components**

The Print Student Guide is a complete resource for learning that gives students a sequential progression for skill development. Lesson context for problem solving is presented to students in a manner, so they can grow as flexible mathematical thinkers! Vocabulary, visual examples, lesson vignettes, diagrams of math concepts, and opportunities for individual and group work are also at the core of the Student Guide. This component requires a high level of student engagement and participation, as students are asked to apply what they have learned in the form of activities, self-check questions and homework.

The Student Guide Digital is designed with the same content as the print Student Guide. It can be used in the classroom and at home by students and their families to access content presented along with activities, math labs, and literature connections. Kids from the *Math Trailblazers* classroom act as student coaches, walking through the problem-solving process. These animations can be referred to throughout the year as students work through concepts at their own pace. Audio within the lessons allow students to grasp concepts while listening to instructions and explanations of problems.

The Student Activity Book is a print consumable that gives students additional lesson text, activities, and the workspace needed to work through lesson content. The workspace provides context for problem solving, modeling of solutions, practice and lesson activities that may require small group work. The worksheets and activities students complete fosters communication and collaboration both individually and in a group setting. These are the building blocks for reaching mathematical understanding and meaning.

Flourish, the Kendall Hunt digital learning network, gives teachers, students and parents access to digital *Math Trailblazers* components, resources, activities and more.

CLASSROOMS/TEACHERS

STUDENTS

BUILD MY PROGRAM

In fourth grade, *Math Trailblazers* focuses on:

• Students developing mental math strategies, conceptual models, and standard algorithms for multi-digit multiplication and division. The rectangular array model is shown along with how to use graphs and tables to reason with multiplication and division.

• Deepening student's understanding of and flexibility with large numbers and addition and subtraction operations.

• Developing models for comparing, finding equivalence, and adding, subtracting, and multiplying fractions by using and connecting multiple representations.

• Students describing, analyzing, and classifying lines, angles, and polygons using their properties.

**Teacher Components**

**Student Components**

The Print Student Guide is a complete resource for learning that gives students a sequential progression for skill development. Lesson context for problem solving is presented to students in a manner, so they can grow as flexible mathematical thinkers! Vocabulary, visual examples, lesson vignettes, diagrams of math concepts, and opportunities for individual and group work are also at the core of the Student Guide. This component requires a high level of student engagement and participation, as students are asked to apply what they have learned in the form of activities, self-check questions and homework.

The Student Guide Digital is designed with the same content as the print Student Guide. It can be used in the classroom and at home by students and their families to access content presented along with activities, math labs, and literature connections. Kids from the *Math Trailblazers* classroom act as student coaches, walking through the problem-solving process. These animations can be referred to throughout the year as students work through concepts at their own pace. Audio within the lessons allow students to grasp concepts while listening to instructions and explanations of problems.

The Student Activity Book is a print consumable that gives students additional lesson text, activities, and the workspace needed to work through lesson content. The workspace provides context for problem solving, modeling of solutions, practice and lesson activities that may require small group work. The worksheets and activities students complete fosters communication and collaboration both individually and in a group setting. These are the building blocks for reaching mathematical understanding and meaning.

*Math Trailblazers* components, resources, activities and more.

CLASSROOMS/TEACHERS

STUDENTS

BUILD MY PROGRAM

In fifth grade, *Math Trailblazers* focuses on:

• Students using multiple representations and real-world contexts to continue to support their development of fraction concepts and operations.

• The use of graphs, tables, and stories to interpret ratios—a fraction as a multiplicative relationship between two numbers.

• Students using these relationships to make generalizations, problem solve, and compare units of measure.

• Students continuing to develop and apply a variety of strategies for solving multi-step problems involving addition, subtraction, multiplication, and division.

• Extending whole number and fractional representations, strategies, and procedures to models of decimals.

• Classifying two-dimensional shapes using properties.

**Teacher Components**

**Student Components**

The Print Student Guide is a complete resource for learning that gives students a sequential progression for skill development. Lesson context for problem solving is presented to students in a manner, so they can grow as flexible mathematical thinkers! Vocabulary, visual examples, lesson vignettes, diagrams of math concepts, and opportunities for individual and group work are also at the core of the Student Guide. This component requires a high level of student engagement and participation, as students are asked to apply what they have learned in the form of activities, self-check questions and homework.

The Student Guide Digital is designed with the same content as the print Student Guide. It can be used in the classroom and at home by students and their families to access content presented along with activities, math labs, and literature connections. Kids from the *Math Trailblazers* classroom act as student coaches, walking through the problem-solving process. These animations can be referred to throughout the year as students work through concepts at their own pace. Audio within the lessons allow students to grasp concepts while listening to instructions and explanations of problems.

The Student Activity Book is a print consumable that gives students additional lesson text, activities, and the workspace needed to work through lesson content. The workspace provides context for problem solving, modeling of solutions, practice and lesson activities that may require small group work. The worksheets and activities students complete fosters communication and collaboration both individually and in a group setting. These are the building blocks for reaching mathematical understanding and meaning.

*Math Trailblazers* components, resources, activities and more.

CLASSROOMS/TEACHERS

STUDENTS

BUILD MY PROGRAM

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