Extend multiplication facts to multiply 6, 7, 8, 9, and 10 groups. Fluently multiply to 100 by breaking 2-digit factors into tens and ones, using number bonds, arrays, and area models. Multiply multiples of 10.
Transition from using number bonds to writing equations and using mental math. What's 3x5? Visualize 3 groups of 5 as 2 groups of 5 and 1 group of 5. Since 2x5 = 10 and 1x5 = 5, 3x5 = 10+5 = 15. Find and add partial products to get the total product – the distributive property. The goal is fluency first, then automaticity. Prerequisites: 3-32
Use an ellipsis as a shortcut when drawing 5 or more groups. What's 5x4? Instead of drawing all 5 groups, draw groups 1 and 2 with 4 in each group. Draw a bar with "•••" to show the pattern of 4s continues, then draw the last 4 – group 5. Which groups does the "•••" represent? The ellipsis represents groups 3 and 4. Prerequisites: 3-34
Use a bar model to visualize 6 equal groups. Start by explicitly drawing all 6 groups. What's 6x4? Find and add partial products to get the total product. "A group of 6 is quick to see, if you think in groups of 3." 6x4 = 3x4 + 3x4 = 12+12 = 24. Transition to modeling 6 groups with an ellipsis. Use "•••" to represent groups 3 to 5. Prerequisites: 3-39
