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

Problem of the Week. Two DPP items that can serve as the Problem of the Week are identified for this unit. Problems of the Week will always be a Task or a Challenge. Having students work on one problem throughout the week allows time for them to reflect on the strategies they are developing. At the end of the week, students can share their strategies. The following DPP items in this unit can serve as Problems of the Week.

Unit 7 Daily Practice Problems A–Z

Choose a practice problem here
A Subtraction Facts:
Groups 1 and 2 B Story Solving C Subtraction Facts: Group 1 D Messy Student E Subtraction Facts: Group 2 F Addition G Subtraction Facts:
Groups 3 and 4 H The Number 908 I Subtraction Facts: Group 3 J Addition Strategies K Subtraction Facts: Group 4 L Moe and Joe Smart M Counting by Half Hours N Find the Digits O Time to Go P Fact Families: Groups 1–4 Q Marathon Mark R Chris's Collection S Largest Difference T Problem Solving:
The Last Six Facts U Using Subtraction V Twins and Triplets W Multiples on the Calendar X Subtraction Y Subtraction Facts Quiz:
Groups 1–4 Z Play Digits Game:
Smallest and Largest
Difference DPP Teacher Notes

Students will need: individual clocks, Subtraction Flash Cards: Groups 1–4, Subtraction Facts I Know chart, Addition Strategies Menu, Subtraction Strategies Menu, base-ten pieces, a monthly calendar, number lines, counters, and Digit Cards 0–9 readily available.

Practice of the Subtraction and Multiplication Facts

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

Unit DPP Subtraction Facts Group Strategies Used Focus
2 1 and 2 Using Tens, Thinking Addition Development of mental strategies and number sense
3 3 and 4 Making Tens, Thinking Addition
4 5 and 6 Counting Up,
Counting Back,
or Thinking Addition
5 7 and 8 Using Doubles, Thinking Addition
6 Review all Use strategies fluently
7 A, C, E, G, I, K, P, U, Y Review Groups 1–4
8 Review Groups 5–8

Figure 1: Development of subtraction math facts in Grade 3 and in this unit

For information on the specific tools and strategies used to practice and assess the subtraction facts in Grade 3, see the Lesson Guide for Unit 2 Lesson 8 Assessing the Subtraction Facts.

Unit DPP Mulitplication Facts Group Focus
3 5s and 10s Development of mental strategies and number sense
4 2s and 3s
5 Square Numbers
6 9s
7 B, L, Q, R, T Last Six Facts
(4 × 6, 4 × 7, 4 × 8, 6 × 7, 6 × 8, 7 × 8)
8 5s and 10s Use strategies fluently
9 2s and 3s
10 Square Numbers
11 9s
12 Last Six Facts
13 Last Six Facts

Figure 2: Development of multiplication math facts in Grade 3 and in this unit

Multiples on the Calendar. In Unit 3 Lesson 5, students used the calendar to explore multiples and factors. Continue to make this part of your daily routine by asking students to write a number sentence for each day using the factor for that month. For example, if 5 is the factor for this month, students might write December 3 × 5 + 3 for December 18th.