Math Program
Investigations 3

• Write and interpret numerical expressions
• Solve multiplication problems with 2-digit numbers
• Write and interpret numerical expressions
• Understand and use the relationship between multiplication and division to solve division problems

• What is the same about these problems?  
• What is different?
• How can you use what you know about multiplication to solve division problems?

Instructional Snapshot

• Use order of operations to solve problems
• Solve Number Puzzles about attributes of numbers
• Examine multiplication and division strategies in order to move towards efficiency

• Translate between two-dimensional and three-dimensional shapes
• Structure rectangular prisms and determine their volume

• How do we measure the space inside a 3-dimensional shape?
• How does changing the dimensions impact the volume of a rectangular prism?

Instructional Snapshot

• Find volumes of rectangular prisms
• Design packages of different sizes
• Determine the volume of the classroom

• Find equivalents and compare fractions
• Add and subtract fractions

• What strategy can you use to order fractions?
• What is the relationship between fractions in an equation, particularly the denominators, and the answer?

Instructional Snapshot

• Play games to order and compare fractions
• Use clocks to find fraction equivalents 
• Add and subtract fractions on a number line

• Solve multiplication problems fluently
• Solve division problems efficiently

• What strategies do you use to multiply and divide?
• If another student looked at your solution, would they be able to explain your reasoning?  How do you know?

Instructional Snapshot

• Learn the U.S. Standard Algorithm for Multiplication
• Use place value understanding to estimate products and quotients
• Solve division problems with clear and concise notation

• Read and construct coordinate graphs
• Model situations with mathematics: Graphs, ordered pairs, tables, and symbolic notation
• Analyze and compare mathematical patterns and relationships

• What does the data on this grid tell you about the situation?
• What do you notice as a figure grows and changes? How would you write a rule to model that change?

Instructional Snapshot

• Plot and compare temperature data on a coordinate grid
• Use data to represent a child’s and animal’s growth over time
• Explore the relationship between area and perimeter of rectangles

• Understand the meaning of decimals
• Compare decimals
• Add and subtract decimals

• What strategy can you use to add and subtract decimals?  
• How did you keep track of the solution as you solved the problem?

Instructional Snapshot

• Develop strategies for adding and subtracting decimals 
• Play games like Fill Two and Decimal Compare
• Solve decimal story problems

• Multiply and divide fractions, mixed numbers, and whole numbers
• Interpret fractions as division
• Multiply with decimals
• Divide with decimals
• Convert measurements

• When you divide a fraction by a whole number, will the resulting quotient be bigger or smaller? How do you know?
• How do you know whether to multiply or divide when converting between measurements?

Instructional Snapshot

• Use strategies learned with whole numbers to multiply and divide fractions and mixed numbers
• Use calculators to convert fractions to decimals
• Convert measurements

• Classify two-dimensional figures
• Analyze numerical patterns in the perimeters and areas of related rectangles

• What are the attributes of a rectangle?
• When the perimeter of a rectangle doubles, what happens to the area?  

Instructional Snapshot

• Explore attributes of 2-dimensional figures 
• Play “Guess My Rule”
• Rearrange rectangles to change the perimeter and area in specific ways