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 others will be either Tasks, Challenges, or Bits. Nine icons designate the subject matter of the DPP items.

Algebra
Data
Computation
Geometry
Math Facts
Measurement
Money
Number Sense
Time

Unit 11 Daily Practice Problems A-R

Choose a practice problem here
A The Last Six Facts B Break-Apart Facts C Fact Families for x and รท D The Broken Calculator E Related Division Facts F Multiplication with Rectangles G Show that Fraction H Multiplication I Best Estimate J Archimedes' Puzzle K Multiples of 10 and 100 L Operation Target M Fact Family Quiz: Last Six Facts N More Multiplication O Facts Quiz: Last Six Facts P Area Q Would You Rather? R Scientific Research DPP Teacher Notes

Students will need: Triangle Flash Cards: Last Six Facts, Division Facts I Know charts, the Multiplication Strategies Menu for Larger Numbers, the Multidigit Multiplication Strategies Menu, the Math Practices page, the Polygon Names page, the Fraction Chart page, 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 item in this unit can serve as a Problem of the Week:

Challenge D in Lesson 1

Practice of the Division Facts

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

Unit DPP Division Facts Group Focus
6 5s and 10s Use strategies proficiently
7 2s and 3s
8 9s
9 Square Numbers
10 Last Six Facts
11 A, B, C, E, K, L, M, O Last Six Facts: 24 ÷ 4, 24 ÷ 6, 28 ÷ 4, 28 ÷ 7, 32 ÷ 4, 32 ÷ 8, 42 ÷ 6, 42 ÷ 7, 48 ÷ 6, 48 ÷ 8, 56 ÷ 7, 56 ÷ 8
12 Review all division facts

 
Figure 1: 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.