Daily Practice and Problems

The Daily Practice and Problems (DPP) is a set of short exercises that provides a structure for ongoing review and study of math concepts, skills, and math facts. To support this daily routine, at least two DPP items are included for each class session. The first item is always a Bit and the others will be either Tasks, Challenges, or Bits. Nine icons designate the subject matter of the DPP items.

Algebra
Computation
Data
Geometry
Math Facts
Measurement
Money
Number Sense
Time

Unit 6 Daily Practice Problems A-Z

Choose a practice problem here
A Mixed-Up Multiplication Tables B Break-Apart Multiplication C Finding the Value of n D How Many Pennies, Nickels,
and Dimes E Fact Families for 5s and10s F Multiplication G Sharing Money H Multiplying I Zero and Division J Reading Records K More Fact Families for 5s and 10s L Ping Pong M Place Value N The Mystery Unfolds O Practicing the Division Facts P Division Stories Q More Facts Practice R Zeros and Ones S Fact Family Quiz: 5s and 10s T Practicing Multiplication Facts U Division Quiz: 5s and 10s V Larry, Curly, Moe, and Joe W Square-Inch Tiles X Primes and Factors Y Multiplication Facts Inventory Test Z The Long and the Short DPP Teacher Notes

Students will need: Triangle flash cards (all groups), Multiplication and Division Facts I Know charts, Writing Numbers in Words page, Multiplication Strategies Menu, square-inch tiles, and calculators readily available.

Problem of the Week

A DPP item that can serve as the Problem of the Week will be identified for every week of the unit and will always be a Task or a Challenge. The intention is that students be given a problem that allows time for thoughtful consideration of the strategies they are developing. Such a problem may require more reflection, maybe some trial and error, and may not be immediately solvable at first glance. At the end of the week, students can share their strategies. The following DPP items in this unit can each serve as a Problem of the Week:

Challenge D in Lesson 2
Challenge N in Lesson 4

Practice of the Multiplication and Division Facts

Some DPPs focus on the development of the multiplication and division math facts. Figures 1 and 2. See the Letter Home for more specifics about the math strategies developed in the DPPs in this unit.

Unit DPP Multiplication Facts Group Focus
3   5s, 10s, and Square Numbers Use strategies fluently
4   2s, 3s, and 9s
5   Last Six Facts
4 × 6, 4 × 7, 4 × 8, 6 × 7, 6 × 8, 7 × 8
6 A, E, I, K, Q, S, T, Y Review all multiplication facts

 
Figure 1: Development of multiplication math facts in Grade 4 and in this unit

For information on the specific tools and strategies used to practice and assess the multiplication facts in Grade 4, see the Lesson Guide for Unit 3 Lesson 2 Fact Families.

Unit DPP Multiplication Facts Group Focus
6 E, I, J, K, O, P, Q, S, U 5s and 10s Use strategies fluently
7   2s and 3s
8   9s
9   Square Numbers
10   Last Six Facts
11   Last Six Facts
12   Review all division facts

 
Figure 2: Development of division math facts in Grade 4 and in this unit

For information on the specific tools and strategies used to practice and assess the division facts in Grade 4, see the Lesson Guide for Unit 6 Lesson 1 Facts I Know: Multiplication and Division.