 ## UNITS

Unit:
• Place Value
Essential Questions:
• How does place value help us understand numbers?
• What is the relationship between the numbers in different places in the same number?
• What strategies can be used to compare and order numbers with different place values?
• How can place value help us identify the value of a digit in a number?
• How can we use place value to add and subtract large numbers?
• How do we use place value to represent decimal numbers?
• How can we use place value to multiply and divide large numbers?
• What strategies can be used to solve multi-step problems involving place value?
Unit:
• Factors and Multiples
Essential Questions:
• What is a factor and what is a multiple?
• How do factors and multiples relate to multiplication and division?
• How do you find prime factors of a number?
• What is the greatest common factor and how do you find it?
• How can you use factors and multiples to solve division problems?
• What strategies can you use to determine all the factors of a number?
• How do you identify the smallest multiple of a given number?
• How can you compare the factors and multiples of different numbers?
• How do you use factoring to solve equations?
• When would you use prime factorization to solve problems?
Unit:
• Mental and Written Strategies: Addition, Subtraction, Multiplication, Division
Essential Questions:
• What strategies can be used to solve addition, subtraction, multiplication, and division problems mentally?
• How can students use mental math strategies to break down larger problems into smaller, more manageable parts?
• What are some written strategies that students can use to solve addition, subtraction, multiplication, and division problems?
• How can students use the strategies of estimation and rounding to solve addition, subtraction, multiplication, and division problems?
• How can visual models, such as arrays and number lines, help students to solve addition, subtraction, multiplication, and division problems?
• What strategies can be used to help students check their answers to addition, subtraction, multiplication, and division problems?
Unit:
• Grid Reference Location and 12/24 Hour Time
Essential Questions:
• What is grid reference location, and how can we use it to describe the location of a point on a map?
• What is the difference between 12-hour and 24-hour time, and when should each be used?
• How do clocks and calendars help us to understand and keep track of time?
• How can we use grid reference location and time to help solve real-world problems?
• How does understanding grid reference location and time help us to better understand the world around us?
Unit:
• Collect, Organize, and Interpret Data
Essential Questions:
• How can organizing data help us better understand it?
• What are some different ways we can represent data?
• How do we use data to draw conclusions?
• How can data be used to tell a story about a given situation?
• What are the benefits and challenges of working with data?
• What are some ways to make data easier to understand?
• What are some methods for interpreting data?
• How do we use data to make predictions?
Unit:
• Fractions and Decimals
Essential Questions:
• What are the similarities and differences between fractions and decimals?
• How can fractions and decimals be used to represent the same quantity?
• How can we use operations such as addition and multiplication with fractions and decimals?
• How can understanding fractions and decimals help us solve real-life problems?
• What strategies can be used to compare and order fractions and decimals?
• How do we convert fractions to decimals and vice versa?
• What are equivalent fractions and decimals?
• How can fractions and decimals be used to represent ratios and proportions?
• How can fractions, decimals, and percents be used to solve real-world problems?
• How can understanding fractions and decimals help us understand other mathematical concepts such as geometry, algebra, and probability?
Unit:
• Patterns and Algebra
Essential Questions:
• How can patterns help us understand and solve mathematical problems?
• How can we use algebraic thinking to represent patterns and solve problems?
• What strategies can be used to identify and extend patterns?
• How can we use algebraic equations to represent and solve mathematical problems?
• What strategies can be used to solve equations and inequalities?
• How can we use reasoning to solve equations and inequalities?
• How can graphs help us to understand and solve equations and inequalities?
• What strategies can be used to identify and graph linear equations?
• How can we use our understanding of patterns and algebra to solve real-world problems?
Unit:
• 3D/2D Objects; Representations and Symmetry
Essential Questions:
• How can we categorize shapes?
• How can symmetry in a three-dimensional object be identified and represented in a two-dimensional representation?
• How does understanding of symmetry and 3D shapes help us in real-world tasks?
• How can two-dimensional shapes be used to create three-dimensional objects?
• What are the relationships between lines of symmetry and the properties of a three-dimensional object?
• How can knowledge of symmetry and three-dimensional shapes be used to solve real-world problems?
Unit:
• Area, Volume, Perimeter, and Measurement
Essential Questions:
• What are the formulas for calculating area, volume, and perimeter?
• How can you apply those formulas to solve real-world problems related to area, volume, and perimeter?
• How do perimeter, area, and volume relate to each other?
• What strategies can be used to calculate area, volume, and perimeter?
• How do alterations to a figure affect its area, volume, and perimeter?
• How can you visualize the differences between area, volume, and perimeter?
• How does the concept of area, volume, and perimeter relate to geometry?
• How can you use formulas to determine the area, volume, and perimeter of complex shapes?
• How can understanding area, volume, and perimeter be used to solve everyday problems?
• How can we categorize and compare different angles?
• How can we measure angles with a protractor?
• How do you convert between units of measure such as centimeters and meters?
• What is the relationship between volume, mass, and weight?
Unit:
• Problem Solving and Reasoning
Essential Questions:
• How do understanding number patterns help us solve math problems?
• How can we use algebraic reasoning to explain how math problems are solved?
• What strategies can we use to effectively communicate math problems and solutions?
• How can we use problem-solving techniques to identify the most efficient methods for solving problems?
• What relationships between operations can we use to explain unknown quantities in math problems?
• What evidence do we need to justify our mathematical reasoning?
• How can we check our work when solving multi-step problems?
• How can we recognize patterns and logical relationships to aid in problem-solving?
• How can we use different strategies to decide which operations to use to solve an equation?
• How can we use trial and error to help us solve a math problem?
Unit:
• Problem Solving and Communicating
Essential Questions:
• What strategies can be used to effectively solve a math problem?
• How can math be used to communicate and support ideas?
• How is problem solving connected to other areas of mathematics?
• How do different problem-solving approaches address different types of questions?
• How can students use critical thinking to approach complex math problems?
• What are the most successful methods for effectively presenting and sharing problems and solutions?
• How does the use of technology, such as calculators and computers, improve problem-solving skills?
• What are some common mistakes people make when solving math problems?
• How can collaboration and discussion help to deepen understanding of mathematics?
• How do patterns, diagrams, and other visuals help to explain mathematical concepts?