Developing Strategies for Addition and Subtraction

Imagine Liam, Lily, and Isla are on a treasure hunt. They need to solve addition and subtraction puzzles to find the treasure. Which of the following skills is most suitable for them, considering they are in the intermediate grades and can solve addition and subtraction problems appropriate for their grade level?

• Continue addition and subtraction of large numbers (solving problems with 1,000s using multiple strategies)

• Addition and subtraction within 10

• Addition and subtraction within 100

  (Add two digit to one digit numbers or multiples of 10)

• Multiplication

What was the activity called (look at the picture)?

• Trading Across Zero

• 50 and Some More

• I have no idea

• Compatible Pairs

Imagine Mia and Henry are on a treasure hunt in their classroom! To unlock the treasure chest, they need to solve a math puzzle. Which of the following puzzles should they be able to solve in first grade?

• Within 100, and add two-digit numbers, or multiples of 10

• Should be able to decompose less than 1,000

• Within 10, and decompose numbers less than 20

• Add and Subtract up to 1,000 as well as use the standard algorithm

Can you guess the name of this super fun activity Scarlett, Aria, and William are playing (hint: check out the picture)?

• Compatible pairs

• Numbers, Squares, Lines, and Dots

• Little Ten-Frame Sums

• How Much Between?

What are the three types of computation strategies?

• Standard Algorithm, Estimating, Corporative Strategies

• Direct Modeling, Invented Strategies, Standard Algorithm

• Standard Algorithm, Invented Strategies, Explicit Modeling

• Explicit Modeling, Corporative Strategies, Standard Algorithm

Which term matches this description, "Involves use of manipulatives or drawings along with counting to directly represent the meaning of the operation"?

• Direct Modeling

• Erosion

• Mental Computation

• Coopertive Modeling

Which of the following matches this description, "any invented strategy that is done mentally."

• Number Magic

• Mental Math

• Mathematical Models

• Mental Computation

Which term matches this description, " refers to any strategy other than standard algorithm or that does not involve the use of physical materials or counting by ones."

• Invited Strategies

• Invented Strategies

• Comprehension Strategies

• Development Strategies

Which one of the following uses "counting by ones and base-ten models"?

• Direct Modeling

• Comprehension Modeling

• Standard Algorithm

• Connected strategies

At times inventive strategies can become more like ________ ________ after ideas have been explored, used, and understood.