Blog

Eloise has 4{“version”:”1.1″,”math”:”4″} candy bags for her…

Eloise has 4{“version”:”1.1″,”math”:”4″} candy bags for her birthday party. She wants to put 8{“version”:”1.1″,”math”:”8″} pieces of candy in each bag. Eloise calculates the total number of pieces of candy by counting by 8{“version”:”1.1″,”math”:”8″}s four times. In other words, Eloise counts  8{“version”:”1.1″,”math”:”8″}, 16{“version”:”1.1″,”math”:”16″}, 24{“version”:”1.1″,”math”:”24″}, 32{“version”:”1.1″,”math”:”32″}. Eloise ‘s mother calculates the total number of pieces of candy by counting: 4{“version”:”1.1″,”math”:”4″}, 8{“version”:”1.1″,”math”:”8″}, 12{“version”:”1.1″,”math”:”12″}, 16{“version”:”1.1″,”math”:”16″}, 20{“version”:”1.1″,”math”:”20″}, 24{“version”:”1.1″,”math”:”24″}, 28{“version”:”1.1″,”math”:”28″}, 32{“version”:”1.1″,”math”:”32″}. On your paper, (a) Write the name of who is thinking about the number of candies as 8×4{“version”:”1.1″,”math”:”8×4″}?  (b) Write the name of who is thinking about the number of candies as 4×8{“version”:”1.1″,”math”:”4×8″}?  (c) Explain how the person who is thinking of the total as 4×8{“version”:”1.1″,”math”:”4×8″} is applying the definition of multiplication. (d) Which property of arithmetic tells us that 4×8=8×4{“version”:”1.1″,”math”:”4×8=8×4″}? Click “Complete” when you have completed your work on this problem or are ready to move on. 

Consider different ways to calculate 16×50{“version”:”1.1″,”…

Consider different ways to calculate 16×50{“version”:”1.1″,”math”:”16×50″} mentally. On your paper, (a) Write equations that show all steps necessary to calculate 16×50{“version”:”1.1″,”math”:”16×50″} using the Distributive Property of Multiplication over Addition. (b) Write equations that show all steps necessary to calculate 16×50{“version”:”1.1″,”math”:”16×50″} using the  Associative Property of Multiplication. (c) Make a math drawing to support your Distributive Property of Multiplication over Addition calculation in part (b) above. You do not have to draw individual items or squares but you do need to clearly label your math drawing. Click “proceed to next question” when you have completed the problem or are ready to move on. You may return to this question at any time. 

On your paper, make a sequence of base-ten math drawings for…

On your paper, make a sequence of base-ten math drawings for 265-179{“version”:”1.1″,”math”:”265-179″} and show how a child could use the drawings side-by-side with each step of the standard algorithm to help visualize the addition process. Be sure to show each step in the process. Click “Complete” when you have completed your work on this problem or are ready to move on.