The Standard Algorithm for multiplication will be introduced in the third module of this unit. Please refrain from teaching this prior to its introduction, and encourage students to practice with learned strategies, as they will lead students into conceptual understanding of the algorithm and its efficiency.
A similar strategy to the standard algorithm for division (long division) will be introduced in the fourth module of this unit. Please refrain from teaching this prior to its introduction, and encourage students to practice with learned strategies, as they will lead students into conceptual understanding of the algorithm and its efficiency.
Below you will find resources to help explain the doubling and halving strategy that students can use to solve multiplication expressions and build an understanding of the concepts of multiplication.
Home Connection Pages:
67, 69, 70, 77, and 82Picturing Factors in Different Orders Visual (look at commentary after attempting to solve the problem for detailed explanations and visuals)
Doubling and Halving Practice (*click the link on the page that opens up)
Below you will find resources to help explain ratio tables to better understand how they can be utilized to solve many mathematical questions and practice multiplication strategies.
Home Connection Pages:
67, 69, 70, 71, 72 and 73Below you will find resources to help explain how using five as half of ten OR fifty as half of one hundred can help solve larger multiplication problems. This can also be used in conjunction with the area model and ratio tables.
Home Connection Pages:
67, 69, 70, 71 and 72Below you will find resources to help explain the Over Strategy.
Home Connection Pages:
67 and 70Below you will find resources to help explain how to use arrays to solve multiplication problems.
Home Connection Pages:
75, 76, 77 and 78Arrays (Basic Examples)
Below you will find resources to help explain how to use the partial products strategy to solve multiplication problems.
Home Connection Pages:
77 and 78Visual of Partial Products Strategy (Scroll all the way to the bottom of this page to find a visual and explanation of the partial products strategy.)
Home Connection Pages:
p. 75, 76, 82, 83, and 85Below you will find resources to help explain how to use the using quarters strategy to solve multiplication problems.
Below you will find resources to help divide using an area model and ration tables.
Home Connection Pages:
p. 85, 86 and 87Solve Division Problems Using Area Model (Lesson and Practice)
Estimating Quotients (Practice)
Division Using Ration Tables (Scroll down to Chapter 3 p.37-45 for explanation and practice)
Below you will find resources to help explain how to use the partial products strategy to solve multiplication problems.
Home Connection Pages:
79, 81, 83, 84, 87 and 88Visual to Connect Various Strategies for solving multiplication to the standard algorithm (Scroll down to the commentary for a detailed explanation and visual)
From Partial Products to Standard Algorithm (Lesson and Practice)
Multiplication Practice (Game)
More Practice (Make the Largest Product Game)
Number Pieces - Digital Base Ten tools to build arrays/area models.
Partial Products Finder - Use this tool to create area models and examine how the equations are written and each product solved.