Chapter 1: Introduction and Representation- Students will be introduced to the mathematical practices that they will be using throughout the course and beyond. They will start by working with their classmates to make sense of and solve a series of challenging problems. These problems preview some of the mathematics that they will be learning throughout the year.

Chapter 2: Arithmetic Strategies and Area- In the beginning of this chapter, students will continue their focus on representations from Chapter 1. They will do experiments and learn several ways to display and understand the results of their experiments. They will also explore the relationship between area and perimeter and think about how changing one affects the other. They will focus on multiplication, using their understanding of our base ten number system to visualize multiplication in new ways. This will allow them to calculate products efficiently.

Chapter 3: Portions and Integers- This chapter begins with a focus on multiple ways to represent portions, such as percent's, decimals, and fractions. Students will use 100% blocks as a tool to explore the relationships between the equivalent representations of portions. They will also connect portions to ratios. Students will also describe how a point moves on a number line by adding integers. They will learn about absolute value and how to find the length of a line segment on a coordinate graph.

Chapter 4: Variables and Ratios- Students will use variables to represent unknown quantities and will use what you know about a problem to find the value of these variables. Students will also learn how to enlarge or reduce figures while keeping their shapes the same. They will use ratios to compare the side lengths of figures to determine if they are the same shape.

Chapter 5: Multiplying Fractions and Area- Students will calculate portions of fractions, or "parts of parts." They will use these ideas to develop strategies for multiplying fractions and mixed numbers. Students knowledge of multiplying fractions will help them understand decimal multiplication. They will also investigate how multiplying by a number close to, much larger than, or much smaller than 1 affects the size of the product. They will also develop new strategies for finding the areas of shapes, they will be able to solve new problems that involve more complex areas.

Chapter 6: Dividing and Building Expressions- Students will find ways to divide different amounts of licorice among different numbers of people. They will gain a deep understanding of division by using diagrams and pictures to model it. The strategies that they develop in this chapter will help them in Chapter 7 when they will work further with division. Students will use variables to describe the perimeters and areas of shapes built with tiles when one dimension is unknown or can represent various lengths.

Chapter 7: Ratees and Operations- Students will explore questions involving rate. They will also learn how to find unit rates to make comparisons. They will examine races called triathlons to discover when rates will be the same and when they will be different. Students will extend their pervious understanding of division with fractions to include division with mixed numbers and decimals. They will discover efficient methods to divide with these portions. Students will use mathematical operations to do mathematical "magic" tricks. They will also learn how the tricks' work and be able to create their won tricks using variables and algebra tiles.

Chapter 8: Statistics and Multiplication Equations- Students will return to the data from chapter 2. This time, they will use new tools to analyze and compare groups of frogs. They will also look at more ways to display and interpret the data. Students will transition to the subject of statistics. Their work in this section will build on their knowledge of statistics to look at statistical questions. Students will also work with more real-life situations, revisiting math ideas they have already studied and learning new strategies to apply to new contexts. They will use diagrams like the ones used for percent to find the relationship between distance, rate, and time. They will also learn how to compare quantities that are very different.

Chapter 9 Volume and Percent's- Students will be extending their work with mearing lengths and area. Here they will mearsure the surface area and volum of 3-D objects. THey will practice visualizing 3-D solids and how their parts fit togeth. The will use "flattened" shapes, called nets, todo this. Students will extend their work with percents to calculate percent discounts, tips, and interest earned. Lastly, students will work with their team to solve challenging problems that allow you to reflect about your learning from this entire course.

Chapter 1: Introduction and Probability- This chapter will introduce you to several of the big ideas that we will explore during this course. Students will apply their current mathematical knowledge to solve problems, some of which we will revisit later in the course using new tools. Students will focus on finding probability. They will learn how to calculate it mathematically. The y will work with various models to find the theoretical and the experimental probability that an event will occur. They will also review or reinforce their understanding of working with fractions and other portions.

Chapter 2: Fractions and Integer Addition- Students will work to deepen their understanding about various types of numbers. They will look carefully at relationships between fractions, decimals, and percents to rewrite numbers in different forms and to compare them to each other. Students will learn about adding and multiplying integers, fractions and decimals. They will also represent and combine integers using pictures. Students will look at coordinate graphs and learn how to scale axes to make the graphs the most useful for different purposes.

Chapter 3:  Arithmetic Properties- Students will continue to work with integers. Specifically, they will learn about grouping mathematical operations so that the can simplify expressions accurately. In the first section of this chapter, you will also begin to think about how to figure out unknown amount, a skill that is essential for algebraic thinking. Students will revisit integers as they investigate subtraction of positive and negative numbers and think more deeply about multiplication. They will extend their previous understanding of operating with portions to include division with fractions, mixed numbers, and decimals.

Chapter 4: Proportions and Expressions- Students will investigate how to enlarge and reduce figures so that they maintain their same shape. Their work with similar figures and scale drawings, such as maps and blueprints, will lay the foundation for much of the rest of the chapter. Students will also study proportional relationships using tables, graphs, and the Giant One. They will begin to build expressions using a new tool. They will use a variable to help you describe the perimeter and area of shapes built with tiles when one dimension is unknown or represents various possible lengths. They will rite expressions and simplify them.

Chapter 5: Probability and Solving Word Problems- Students will be comparing one thing to another to create strategies to learn about how they are related. They will continue their study of probability. Students will learn how to calculate probabilities of two or more events and how to decide when different games are fair. They will also calculate the probability that more than one event will take place. ASs they do this, they will learn new ways to organize the possible outcomes and will explore situations where one outcome is more likely than another. Students will use variables to represent a single unknown number in different contexts, such as the length of the side of a figure or the number of frogs in a pond. They will learn about the 5-D Process, a strategy to organize their thinking that can help them solve problems.

Chapter 6: Solving Inequalities and Equations- Students will compare two expressions. They will also discover the legal moves that allow you to simplify expressions. Then they will determine which expression is greater or if they are equal. They will also learn how to record solutions to inequalities using number lines with boundary points. Students will extend what they know about comparing expressions to include cases in which expressions are equal. They will build equations with algebra tiles, write equations with variables, and solve equations without using tiles. By the end of this chapter, they will learn efficient ways to justify the steps used to solve equations.

Chapter 7: Proportions and Percents- Students will use diagrams, like the ones they used for percents, to find the relationship between rate, time, and distance. They will revisit scale factors and connect them to percents. They will learn how to simplify difficult problems by rewriting equations to remove fractional and decimal coefficients. Students will investigate how to find the percent increase, percent decrease, and simple interest. They will explore more about proportional relationships as they learn additional strategies for solving them.

Chapter 8:  Statistics and Angle Relationships-  Students will revisit data displays and analysis. They will then look at how to design a good survey. They will learn more about the kind of questions to ask and the group that you would select to answer them. Their focus will shift from statistics toward geometry. They will begin by learning about angles. Specifically, you will learn how to classify them by their sizes and by their relationships to other angles. Then they will build triangles and quadrilaterals with specific characteristics and compare them to each other.

Chapter 9: Circles and Volume- Students will return to geometry, learning how to find the circumference and area of a circle. They will also use this concept to find the areas of complicated figures. Students will explore how to measure the surface areas and volumes of 3-D solids by designing and building cereal boxes. They will visualize what the cut surface of a solid will look like if they slice it at different angles. Lastly they will investigate the volumes of shapes that do not have rectangular bases. In the course closure and reflection, they will work with their team to solve challenging problems that allow them to reflect about their learning throughout the course.