The Comparing Fractions Unit involves using a variety of methods to compare two fractions with different numerators and different denominators. Comparison methods may include building models and visually analyzing the fractions they represent; creating common denominators or common numerators; and/or comparing to a benchmark fraction such as ½. Questions to answer may include:

The Data Analysis Unit involves using a variety of ways to organize data in order to answer questions such as:

• Why does your display best represent the information you collected?
• What kind of data can be displayed in a stem-and-leaf plot?
• Why is a key useful for interpreting data in a stem-and-leaf plot, dot plot or frequency table?
• What kind of data can be displayed better in a dot plot than in a stem-and-leaf plot? Why?

The Measurement Unit involves strong connections between attributes that can be measured (distance, time, capacity, mass, and area), formula building (algebraic reasoning), and the four operations. Questions to answer may include:

The Angle Measurement Unit connects measurement to geometry in order to answer questions such as:

• What is an angle? How are angles measured? How is estimation used to measure angles?
• How are angle measures used to identify 2- and 3-dimensional geometric figures?

The Geometry Unit involves analyzing the defining attributes of 2-dimensional shapes and 3-dimensional solids in order to answer questions such as:

• What is the relationship between the sides of this shape/solid?
• How is this relationship used to define the shape/solid?

The Algebraic Reasoning Unit involves developing an understanding of expressions and equations to answer questions such as:

• How can you use equation(s) to represent this story problem? What do the variables in your equation(s) represent?
• How does a table help to identify the relationship(s) between real-life paired numbers? Can you come up with a rule to describe this relationship? Explain.
• How might an expression be used describe the relationships in your table? How can you use the expression to extend the number pattern in your table?

The Multiplying and Dividing Whole Numbers Unit involves using patterns and place value to develop strategies to multiply and divide whole numbers. Questions to answer may include:

The Adding and Subtracting Fractions Unit involves using a variety of methods to join or separate parts referring to the same whole. Methods may include replacing mixed numbers with equivalent fractions; using properties of operations and the relationship between addition and subtraction; and using visual models of fractions. Questions to answer may include:

The Whole Number and Decimal Place Value Unit involves understanding and representing the relative position, magnitude and relationships within the numeration system in order to answer questions such as: