Math Program
Investigations 3

• Understand the meaning of multiplication
• Learn the multiplication facts
• Understand and work with an array/area model of multiplication
• Develop strategies for division based on understanding the inverse relationship between multiplication and division

• What patterns do you notice when skip counting?
• How can you use the solution from one multiplication problem to help solve a related problem?
• How is multiplication related to the area of a rectangle?
• How are multiplication and division related?

Instructional Snapshot

• Play Factor Pairs, Count and Compare and Missing Factors to build fact fluency
• Write equations to represent things that come in equal groups
• Skip count around the class
• Build arrays with cubes to identify factors
• Make multiplication cards to practice fact fluency
• Solve division problems using multiplication facts

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

• What does our data tell us?  How does it compare to the other class’s data?
• How long is…?
• Is your second measurement the same as your first?  What factors might affect your measurement?

Instructional Snapshot

• Collect data about personal preferences (i.e. places we like to eat)
• Students will make line plots and bar graphs to organize the data
• Describe the data and determine what it is telling us
• Collect data around different measures (i.e. foot size, number of years in school)
• Measure the classroom

• Use knowledge of place value to add and subtract
• Add and subtract fluently
• Understand different types of addition and subtraction problems

• What strategies do you use to add and subtract larger numbers?
• What tools help you solve problems: cubes, number lines, drawings?

Instructional Snapshot

• Play place value games: Capture 5, Close to 100, Go Collecting, and How Far from 100?
• Make a 1,000 chart
• Use place value understanding to add and subtract 2- and 3-digit numbers

• Understand and find perimeter
• Understand and find area
• Describe and classify 2-dimensional figures

• What do these shapes have in common?
• How do you calculate the perimeter?
• What is the area of a shape?

Instructional Snapshot

• Find perimeters of different shapes
• Use tetrominoes to explore area
• Solve tetromino puzzles
• Find the area of their foot
• Sort polygons by their attributes

• Understand the meaning and structure of multiplication and division and the relationship between them
• Solve multiplication and division problems, including multi-step problems and problems with multiple solutions
• Learn multiplication facts
• Make sense of multiplying multiples of 10 by one-digit numbers

• What happens to the product when you multiply a number by a multiple of 10?
• What strategy do you use when dividing? Is it efficient?
• How can you be sure you found all the possible solutions to a problem?

Instructional Snapshot

• Play Multiplication Compare, Missing Factors, and Factor Pairs to gain fluency in multiplication facts
• Explore multiples and patterns in multiples
• Solve multiplication and division problems using arrays
• Examine multiples of 10 and multiplying by those numbers

• Understand the meaning of fractions as equal parts of a whole
• Understand the meaning of fractions as numbers
• Compare fraction and reason about fraction equivalencies with representations
• Model with fraction notation

• How can we share an item equally among three people?  Four people?
• How can we make a line plot showing measurements to the nearest ½ inch?
• How can we compare fractions with the same denominator?
• How can we compare fractions with the same numerator?

Instructional Snapshot

• Divide “brownies” equally among different amounts of people
• Identify the numerator and denominator of a fraction
• Use number lines to compare fractions
• Play Fraction Cookie to solidify their understanding of fractional parts and equivalencies

• Solve problems involving measurement of liquid volume and mass
• Add and subtract fluently
• Describe, analyze, and compare strategies for adding and subtracting whole numbers

• What is mass?
• Are these two problems related?  
• How can a representation of a problem help you solve it?
• What strategy helps you solve subtraction problems?

Instructional Snapshot

• Estimate and measure mass and liquid volume
• Play games to develop fluency adding and subtracting within 1,000 - Capture from 300 to 600 and Collections Match
• Solve addition and subtraction problems by changing a number to create an easier problem
• Solve travel problems related to distances traveled on a fictional journey

• Solve multiplication problems with 2-digit numbers
• Solve division problems
• Learn division facts
• Identify arithmetic patterns and solve multi-step problems

• What strategies do you use to divide?
• Does what you know about multiplication help you with division?
• How can you write a rule to reflect how the total changes over time?

Instructional Snapshot

• Develop strategies to divide
• Learn division facts with fact cards
• Use arrays to solve 2-digit multiplication problems
• Solve multi-step problems using addition and multiplication
• Find arithmetic patterns