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#### Math Starters - Free Sample

These bright, colorful, thought provoking questions are designed to encourage and motivate learners to become more involved in learning and enjoying mathematics. The Free Sample provides a taste of the motivational Math Starters created by Jim and the team at Root 7.
The resource can be used to start a lesson; to introduce or reinforce a concept; to develop and improve problem solving skills; support different ability levels and learning styles.
The resource can also be used in a resource centre, or as a fun way to learn in a home environment.

#### Graph Pictures - Sample

The ability to plot points and draw lines on graph paper is important in the fields of Linear Algebra, Coordinate Geometry, Computer Graphics, Statistics, and many branches of Science.
This resource provides an easy, interesting, and fun way to for students to develop and practice these skills.

#### Math Problem Solving Strategies - Draw a Picture Or Diagram

Two statements that can be found in almost any math curriculum are:
Students learn best if they are actively involved in their learning.
Students should be able to apply various strategies to solve problems.
This problem solving unit covering “Draw a Picture or Diagram” is one of 9 units focusing on 8 problem solving strategies plus a series of Mixed Problems in which students decide on the most appropriate strategy to solve each problem.
The colorful graphics in each unit are specially designed to interest and motivate students to try the problems.
Each unit comprises a Tutorial, a Worked Example and 6 colorful, motivational problems in which students are encouraged to apply the newly learned strategy.
All problems come with on screen hints and solutions.

#### Math Starters - Decimals and Fractions

These bright, colourful, thought provoking questions are designed to encourage and motivate learners to become more involved in learning and enjoying mathematics. The over 40 high quality questions, with on-screen hints and answers, focus on decimals and fractions.
The resource can be used to start a lesson; to introduce or reinforce a concept; to develop and improve problem solving skills; support different ability levels and learning styles.
The resource can also be used in a resource centre, or as a fun way to learn in a home environment.

#### Math Problem Solving Strategies - Free Sample

Two statements that can be found in almost any math curriculum are:
Students learn best if they are actively involved in their learning.
Students should be able to apply various strategies to solve problems.
This Free Sample provides a sample of the problem solving available in our 9 units focusing on 8 problem solving strategies plus a series of Mixed Problems in which students decide on the most appropriate strategy to solve each problem.

#### Math Problem Solving Strategies - Determine a Pattern

Title: Math Problem Solving Strategies – Determine a Pattern
Two statements that can be found in almost any math curriculum are:
Students learn best if they are actively involved in their learning.
Students should be able to apply various strategies to solve problems.
This problem solving unit covering “Determine a Pattern” is one of 9 units focusing on 8 problem solving strategies plus a series of Mixed Problems in which students decide on the most appropriate strategy to solve each problem.
The colorful graphics in each unit are specially designed to interest and motivate students to try the problems.
Each unit comprises a Tutorial, a Worked Example and 6 colorful, motivational problems in which students are encouraged to apply the newly learned strategy.
All problems come with on screen hints and solutions.

#### Math Problem Solving Strategies - Apply Algebraic Thinking

Two statements that can be found in almost any math curriculum are:
Students learn best if they are actively involved in their learning.
Students should be able to apply various strategies to solve problems.
This problem solving unit covering “Apply Algebraic Thinking” is one of 9 units focusing on 8 problem solving strategies plus a series of Mixed Problems in which students decide on the most appropriate strategy to solve each problem.
The colorful graphics in each unit are specially designed to interest and motivate students to try the problems.
Each unit comprises a Tutorial, a Worked Example and 6 colorful, motivational problems in which students are encouraged to apply the newly learned strategy.
All problems come with on screen hints and solutions.

#### Math Problem Solving Strategies - Use Logical Reasoning

Two statements that can be found in almost any math curriculum are:
Students learn best if they are actively involved in their learning.
Students should be able to apply various strategies to solve problems.
This problem solving unit covering “Use Logical Reasoning” is one of 9 units focusing on 8 problem solving strategies plus a series of Mixed Problems in which students decide on the most appropriate strategy to solve each problem.
The colorful graphics in each unit are specially designed to interest and motivate students to try the problems.
Each unit comprises a Tutorial, a Worked Example and 6 colorful, motivational problems in which students are encouraged to apply the newly learned strategy.
All problems come with on screen hints and solutions.

#### Math Problem Solving Strategies - Guess and Check

Two statements that can be found in almost any math curriculum are:
Students learn best if they are actively involved in their learning.
Students should be able to apply various strategies to solve problems.
This problem solving unit covering “Guess and Check” is one of 9 units focusing on 8 problem solving strategies plus a series of Mixed Problems in which students decide on the most appropriate strategy to solve each problem.
The colorful graphics in each unit are specially designed to interest and motivate students to try the problems.
Each unit comprises a Tutorial, a Worked Example and 6 colorful, motivational problems in which students are encouraged to apply the newly learned strategy.
All problems come with on screen hints and solutions.

#### Math Problem Solving Strategies - Work Backwards

Two statements that can be found in almost any math curriculum are:
Students learn best if they are actively involved in their learning.
Students should be able to apply various strategies to solve problems.
This problem solving unit covering “Work Backwards” is one of 9 units focusing on 8 problem solving strategies plus a series of Mixed Problems in which students decide on the most appropriate strategy to solve each problem.
The colorful graphics in each unit are specially designed to interest and motivate students to try the problems.
Each unit comprises a Tutorial, a Worked Example and 6 colorful, motivational problems in which students are encouraged to apply the newly learned strategy.
All problems come with on screen hints and solutions.

#### Math Starters - Geometry

These bright, colourful, thought provoking questions are designed to encourage and motivate learners in to become more involved in learning and enjoying mathematics. The more than 30 high quality questions, with on-screen hints and answers, focus on 2-dimensional, 3-dimensional, and transformation geometry.
The resource can be used to start a lesson; to introduce or reinforce a concept; to develop and improve problem solving skills; support different ability levels and learning styles.
The resource can also be used in a resource centre, or as a fun way to learn in a home environment.

#### Graph Pictures

The ability to plot points and draw lines on graph paper is important in the fields of Linear Algebra, Coordinate Geometry, Computer Graphics, Statistics, and many branches of Science.
This resource provides an easy, interesting, and fun way to for students to develop and practice these skills.
The 18 questions include work in all 4 quadrants and, in some cases applies the concepts of symmetry.

#### Pattern Blocks Chapter 2 - Investigating Fractions

Years of research on how children learn has shown that the use of manipulatives such as pattern blocks is a powerful tool for developing conceptual understanding of mathematics.
Students enjoy working with pattern blocks when they have been allowed time for free explorations. What seems like play to adults is an important part of building confidence and motivation in children.
Using Root 7’s Pattern Block resources enables students to be:
• Actively involved in doing math, which motivates them and builds confidence.
• Provided with excellent opportunities to work together, discuss mathematical ideas, and verbalize their thinking.
• Given concrete representations of mathematical ideas, thus providing a visual model to refer to.
• Provided with Extra Practice questions to extend and reinforce their knowledge and understanding.
How to use
• Assign one or more Activity questions to each student and allow them to work individually, in pairs or in groups
• Observe the students as they work and ask questions, or ask them to explain their work, to ensure they understand the mathematics
• Ensure they record their work as this helps them clarify their thinking and reinforce their understanding.
• The More Practice questions are important as they are designed to make the connection from “Hands-on” to “paper and pencil” ie from the concrete to the more abstract symbolic representation.
The activities in Chapter 2: Fractions helps students increase their knowledge and understanding of various concepts of fractions including, equivalency, addition, subtraction, multiplication division, and mixed numbers.

#### Pattern Blocks Chapter 3 - Geometry

Years of research on how children learn has shown that the use of manipulatives such as pattern blocks is a powerful tool for developing conceptual understanding of mathematics.
Students enjoy working with pattern blocks when they have been allowed time for free explorations. What seems like play to adults is an important part of building confidence and motivation in children.
Using Root 7’s Pattern Block resources enables students to be:
• Actively involved in doing math, which motivates them and builds confidence.
• Provided with excellent opportunities to work together, discuss mathematical ideas, and verbalize their thinking.
• Given concrete representations of mathematical ideas, thus providing a visual model to refer to.
• Provided with Extra Practice questions to extend and reinforce their knowledge and understanding.
How to use
• Assign one or more Activity questions to each student and allow them to work individually, in pairs or in groups
• Observe the students as they work and ask questions, or ask them to explain their work, to ensure they understand the mathematics
• Ensure they record their work as this helps them clarify their thinking and reinforce their understanding.
• The More Practice questions are important as they are designed to make the connection from “Hands-on” to “paper and pencil” ie from the concrete to the more abstract symbolic representation.
The activities in Chapter 3: Geometry helps students increase their knowledge and understanding of various concepts of Geometry including, properties of shapes, congruence, similarity, and symmetry.
Each unit includes Teacher Notes and Answers.

#### Pattern Blocks Chapter 4 - Understanding Patterns

Years of research on how children learn has shown that the use of manipulatives such as pattern blocks is a powerful tool for developing conceptual understanding of mathematics.
Students enjoy working with pattern blocks when they have been allowed time for free explorations. What seems like play to adults is an important part of building confidence and motivation in children.
Using Root 7’s Pattern Block resources enables students to be:
• Actively involved in doing math, which motivates them and builds confidence.
• Provided with excellent opportunities to work together, discuss mathematical ideas, and verbalize their thinking.
• Given concrete representations of mathematical ideas, thus providing a visual model to refer to.
• Provided with Extra Practice questions to extend and reinforce their knowledge and understanding.
How to use
• Assign one or more Activity questions to each student and allow them to work individually, in pairs or in groups
• Observe the students as they work and ask questions, or ask them to explain their work, to ensure they understand the mathematics
• Ensure they record their work as this helps them clarify their thinking and reinforce their understanding.
• The More Practice questions are important as they are designed to make the connection from “Hands-on” to “paper and pencil” ie from the concrete to the more abstract symbolic representation.
The activities in Chapter 4: Patterns helps students increase their knowledge and understanding of various concepts of Patterns including, creating and extending pattern, determining the 100th and nth terms.
Each unit includes Teacher Notes and Answers.

#### Pattern Blocks Chapter 5 - Transformations

Years of research on how children learn has shown that the use of manipulatives such as pattern blocks is a powerful tool for developing conceptual understanding of mathematics.
Students enjoy working with pattern blocks when they have been allowed time for free explorations. What seems like play to adults is an important part of building confidence and motivation in children.
Using Root 7’s Pattern Block resources enables students to be:
• Actively involved in doing math, which motivates them and builds confidence.
• Provided with excellent opportunities to work together, discuss mathematical ideas, and verbalize their thinking.
• Given concrete representations of mathematical ideas, thus providing a visual model to refer to.
• Provided with Extra Practice questions to extend and reinforce their knowledge and understanding.
How to use
• Assign one or more Activity questions to each student and allow them to work individually, in pairs or in groups
• Observe the students as they work and ask questions, or ask them to explain their work, to ensure they understand the mathematics
• Ensure they record their work as this helps them clarify their thinking and reinforce their understanding.
• The More Practice questions are important as they are designed to make the connection from “Hands-on” to “paper and pencil” ie from the concrete to the more abstract symbolic representation.
The activities in Chapter 5: Transformations helps students increase their knowledge and understanding of various concepts of Transformations, including Symmetry, Translation, Reflection, Rotation, and Combinations of Transformations.
Each unit includes Teacher Notes and Answers.

#### Pattern Blocks Chapter 1 - Measurement: Perimeter and Area

Years of research on how children learn has shown that the use of manipulatives such as pattern blocks is a powerful tool for developing conceptual understanding of mathematics.
Students enjoy working with pattern blocks when they have been allowed time for free explorations. What seems like play to adults is an important part of building confidence and motivation in children.
Using Root 7’s Pattern Block resources enables students to be:
• Actively involved in doing math, which motivates them and builds confidence.
• Provided with excellent opportunities to work together, discuss mathematical ideas, and verbalize their thinking.
• Given concrete representations of mathematical ideas, thus providing a visual model to refer to.
• Provided with Extra Practice questions to extend and reinforce their knowledge and understanding.
How to use
• Assign one or more Activity questions to each student and allow them to work individually, in pairs or in groups
• Observe the students as they work and ask questions, or ask them to explain their work, to ensure they understand the mathematics
• Ensure they record their work as this helps them clarify their thinking and reinforce their understanding.
• The More Practice questions are important as they are designed to make the connection from “Hands-on” to “paper and pencil” ie from the concrete to the more abstract symbolic representation.
The activities in Chapter 1: Measurement helps students increase their knowledge and understanding of various concepts of Perimeter and Area.
Each unit includes Teacher Notes and Answers.

#### Math Problem Solving Strategies - Solve a Simpler Problem

Two statements that can be found in almost any math curriculum are:
Students learn best if they are actively involved in their learning.
Students should be able to apply various strategies to solve problems.
This problem solving unit covering “Solve a Simpler Problem” is one of 9 units focusing on 8 problem solving strategies plus a series of Mixed Problems in which students decide on the most appropriate strategy to solve each problem.
The colorful graphics in each unit are specially designed to interest and motivate students to try the problems.
Each unit comprises a Tutorial, a Worked Example and 6 colorful, motivational problems in which students are encouraged to apply the newly learned strategy.
All problems come with on screen hints and solutions.

#### Math Problem Solving Strategies - Make a List or Table

Two statements that can be found in almost any math curriculum are:
Students learn best if they are actively involved in their learning.
Students should be able to apply various strategies to solve problems.
This problem solving unit covering “Make a List or Table” is one of 9 units focusing on 8 problem solving strategies plus a series of Mixed Problems in which students decide on the most appropriate strategy to solve each problem.
The colorful graphics in each unit are specially designed to interest and motivate the students to try the problems.
Each unit comprises a Tutorial, a Worked Example and 6 colorful, motivational problems in which students are encouraged to apply the newly learned strategy.
All problems come with on screen hints and solutions.
Check out www.root7.ca for more resources and “Free Stuff”

#### Math Problem Solving Strategies - Mixed Strategies

Two statements that can be found in almost any math curriculum are:
Students learn best if they are actively involved in their learning.
Students should be able to apply various strategies to solve problems.
This Mixed Problems unit gives students opportunities to solve problems using different strategies.
The unit begins with a worked example, showing different strategies for solving the same problem.
Each of the 30 colorful, interesting problems comes with a reminder of the 8 strategies covered in Math Problem Solving Strategies Units 1 through 8. All problems come with on screen hints, and solutions using alternative strategies.
This unit can be used on its own or after students have completed some, or all of the units covering the 8 problem solving strategies.