Unit 1: Place Value; Multidigit Addition and Subtraction

The principle focus of Unit 1 is place value concepts for multi-digit whole numbers. Opening with place value and addition enables a relatively relaxed beginning of the school year and allows teachers and students to get acquainted and establish yearlong routines. Students will also explore addition and subtraction to add and subtract multi digit whole numbers.

Unit 1 has 5 main goals:

• To introduce students to the Student Reference Book

• To practice using the Base 10 place value system

• To review rounding, addition, and subtraction

• To solve multi-digit number stories

• To review geometric definitions of figures and properties

Unit 2: Multiplication and Geometry

The principle focus of Unit 2 is exploring various applications for multiplication, including rectangular array patterns and work with factors, factor pairs, multiplies, prime numbers, and composite numbers. Students will learn to interpret multiplication equations as multiplicative comparisons and they will work with patterns found in square numbers, multiples, factors, and "What's My Rule?" tables.

Measurement work in Unit 2 is also tied to multiplication. Working with units of time, students multiply to convert from hours to minutes and minutes to seconds. They will further explore the area formula for rectangles and also, will build on their study of geometry by identifying properties of shapes. Students will explore properties of angles and triangles as well as begin to classify and sort quadrilaterals.

Unit 3: Fractions and Decimals

In this unit, students explore fraction equivalence and compare and order fractions using different representations. They then extend their understanding of fractions to decimals, comparing and ordering decimals using the same methods as for comparing fractions.

Unit 4: Multidigit Multiplication

In this unit, students are introduced to the basic principles of multidigit multiplication by focusing on extending multiplication skills and exploring the partial-products method. They use their knowledge of multiplication to find the areas of rectangles and to convert units of measurement.

Unit 5: Fraction and Mixed Number Computation; Measurement

In this unit, students explore the whole in fractions as well as adding and subtracting fractions and mixed numbers. Students use these computation skills to answer questions about line plots. They are also introduced to adding tenths and hundredths. Students build on their previous knowledge of rays to explore unit iteration for angles.

Unit 6: Division and Angles

In this unit, students explore the relationship between multiplication and division by developing a method for dividing whole numbers and solving division number stories. They are introduced to protractors and explore using them to measure and construct angles. Throughout Unit 6, we will focus the following key topics:

• Strategies for division and partial quotients

• Expressing and interpreting remainders

• Measuring angles

• Fraction concepts

Unit 7: Multiplication of a Fraction by a Whole Number; Measurement

In this unit, students formalize their understanding of multiplying a fraction by a whole number and use this knowledge to solve problems in real-world scenarios. Unit 7 will focus on the following skills:

• Convert between gallons, quarts, pints, and cups

• Multiply a fraction by a whole number

• Solve fraction multiplication and division number stories

• Write a number model to solve multi-step division number stories

• Identify and continue shape and number patterns

Unit 8: Fraction Operations; Applications

In this unit, students apply their knowledge of fractions, number concepts, patterns, and geometry to different real-world scenarios. Unit 8 focuses on the following skills:

• Using addition, subtraction, multiplication, and division to solve multi-step number stories

• Finding missing real-life angle measurements

• Identifying shapes with line symmetry and drawing lines of symmetry

• Solving computation problems involving decimals by converting to fractions, computing, and then converting back to a decimal

• Finding equivalent names for numbers

• Creating a line plot and answering questions using the data

• Computing with fractions 