Reasoning

Question 1

Counting on

Answer 1

starting on one number and counting until reaching the second number; a typical technique is saying the counting numbers out loud while using fingers to keep track of how many numbers have been used

Example: 30 plus 5: 30, 31, 32, 33, 34, 35
(at 30, zero fingers would be held out and at 35, 5 fingers)

Question 2

Number line

Answer 2

a straight line where each number is equal distance from the next one

Question 3

Area models

Answer 3

Using the expanded form of a number, each number is multiplied together and the products are added to find the final answer

Example.
This area model shows 42 × 37

Question 4

Expanded form/ Expanded notation

Answer 4

break apart each digit in the number and show the digits true value

Example: 4,358→4000+300+50+8

Question 5

Rectangular arrays

Answer 5

dots or objects that show the end product of 2 numbers; the objects are arranged so there are an equal number of items in each row and column

Example: These rectangular array show 4 × 3

Question 6

Metacognition

Answer 6

the awareness and understanding of one’s own thought processes, enabling students to monitor, control, and reflect on their learning strategies and problem-solving techniques to enhance their cognitive abilities