The Standard Algorithm for multiplication will be introduced in the fourth 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 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:
1, 2, 3, 4, 7, 12, 15, 17Picturing 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 Order of Operations and the strategies students can use to solve algebraic expressions and equations, including placing parentheses correctly within an expression to manipulate a desired answer.
Home Connection Pages:
1, 2, 3, 4, 5, 7, 8, 12, 13, 14, 15, 17Explanation of Importance of Utilizing Parentheses Accurately -Order of Operations (look at commentary after attempting to solve the problem for detailed explanations and visuals)
Below you will find resources to help explain illustrate the role of multiplication in determining the volume of three-dimensional figures.
Home Connection Pages:
4, 5, 6, 8, 11, 12, 14, 15, 16Determining Volume (multiplying area of the base x height) (look at commentary after attempting to solve the problem for detailed explanations and visuals)
Below you will find resources to help explain how to find the factors/multiples of a given number and apply that knowledge to volume and dimensions of rectangular prisms.
Home Connection Pages:
9, 10Understanding the Relationship Between Factors and Multiples (look at commentary after attempting to solve the problem for detailed explanations and visuals)
Below you will find resources to help explain how area models create a visual representation of multiplication.
Home Connection Pages:
3, 11, 12Below 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:
11, 12Below 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:
4, 13 and 14Below you will find resources to help explain the Over Strategy.
Home Connection Pages:
3, 7, 12, 13, 14, 15, 17Below you will find resources to link multiplication concepts and strategies to division contexts. Also, please find a source for determining the appropriate use of remainders.
Home Connections Pages:
18, 19, and 20Dividing using an area model - divide numbers using a missing dimension in an area model - linked to the multiplication strategy
Interpreting Remainders - examine a variety of contexts where the remainders is interpreted differently.
Factor Game - Gain points for choosing the correct factors of a selected product. This game is very similar to Workplace 1B: The Multiple Game.
Factris - In this Tetris-like game, players arrange falling blocks that can be reconstructed into different arrays. Doing so allows them to explore array building and factorization.