Math Program
Investigations 3

• Visualize multiplication
• Reason about numbers and their multiples and factors
• Solve multiplicative comparison problems

• Is this number prime or composite? How do you know?
• How can you be sure you found all the factors of a given number?

Instructional Snapshot

• Use arrays to explore attributes of number
• Identify prime numbers
• Find all the factors for a given number
• Play multiplication games: Factor Pairs and Multiple Turn Over

• Represent data
• Describe, summarize, and compare data
• Analyze and interpret data
• Generate measurement data

• What question have you designed to collect data?
• What is the data telling you?

Instructional Snapshot

• Measure and compare their height to the height of first graders
• Generate their own data question
• Collect and analyze data

• Solve multiplication problems with 2-digit numbers
• Understand the meaning and structure of multiplication and division
• Understand and use the relationship between multiplication and division to solve division problems

• What strategy can you use to solve a 2-digit multiplication problem?
• How can changing the factors of a problem help you solve it more efficiently?

Instructional Snapshot

• Play multiplication games: Small Array/Big Array and Missing Factors
• Solve 2-digit multiplication problems by breaking apart the numbers
• Solve division stories with and without remainders
• Examine the effect of adjusting factors on the product

• Solve measurement problems
• Describe and classify 2-dimensional figures
• Describe and measure angles
• Understand and determine area
• Identify mirror symmetry in shapes

• What is the name of this shape?  
• How can you determine the area and perimeter of a shape?
• Where do you see symmetry in shapes?

Instructional Snapshot

• Play Guess My Rule with attributes of shapes
• Solve perimeter problems
• Identify polygons
• Measure angles in polygons
• Solve area problems

• Extend knowledge of the number system to 1,000,000
• Add and subtract fluently
• Describe, analyze, and compare strategies for adding and subtracting whole numbers

• How much is 10,000?
• How can you use the U.S. Standard Algorithm to add and subtract?

Instructional Snapshot

• Add and Subtract using the U.S. Standard Algorithms
• Play Close to 1,000 
• Make a 10,000 chart
• Add and subtract 4 and 5-digit numbers

• Understand the meaning of fractions and decimals
• Compare values of fractions and decimals
• Compute with rational numbers

• Which is the larger share: ¼ or ⅕? How do you know?
• How can you use a number line to help you solve a fraction addition problem?

Instructional Snapshot

• Make Fraction Cards to represent and compare common fractions
• Play fraction and decimal games: Capture Fractions, Decimal Compare and Fill Two
• Organize fractions on the number line
• Add, subtract and multiply fractions

• Solve measurement problems
• Solve multiplication problems
• Solve division problems

• How do you decide which equivalent measures to use when converting between different units?
• How does breaking apart numbers by place value help you multiply? How does it help you divide?

Instructional Snapshot

• Solve measurement problems involving capacity, mass and weight
• Use estimation to solve multiplication and division problems
• Play Factor Bingo to identify factors of numbers and of multiples of the numbers
• Find efficient strategies to multiply and divide using Cluster Problems

• Model situations with mathematics
• Generate and analyze patterns
• Solve multi-step problems

• How can you determine a mathematical rule to represent what happens when adding equal groups to different starting quantities?
• What are some of the strategies you can use to model the math in a situation? 

Instructional Snapshot

• Explore the Penny Jar, and what happens when pennies are added in a predictable pattern from different starting numbers
• Write equations to match what happens in the penny jar
• Explore Windows and Towers in high rise buildings using cubes