Warm-up Which One Doesn’t Belong: Expressions Galore
Which one doesn’t belong?
Activity 1 An Algorithm for Noah
Noah drew a diagram and wrote expressions to show his thinking as he multiplied two numbers.
How does each expression represent Noah’s diagram? Be prepared to share your thinking with a partner.
Later, Noah learned another way to record the multiplication, as shown here.
Make sense of each step of the calculations and record your thoughts. Be prepared to explain Noah’s steps to a partner.
Complete the diagram to find the value of
. Use Noah’s recording method to check your work.
Activity 2 Try an Algorithm with Partial Products
Noah and Mai want to find the value of
How are Mai’s and Noah’s notation alike? How are they different?
Use a diagram to show what each of the partial products 72, 80, 3,200 and 24,000 represent. Then, find the value of
Find the value of each expression. For at least one expression, use the algorithm that Noah used. Show your reasoning.
The diagram and calculations show two ways for finding the value of
How does each part of the vertical calculation relate to the diagram?
Find the value of
using a method of your choice.