Numbers, Patterns, Shapes & Data
Objectives
- D05.S1.04.01 Use place value to 1,000,000 to read, write, round, and compare multi-digit whole numbers.
- D05.S1.04.02 Add, subtract, multiply, and divide multi-digit whole numbers, and use estimation to check that answers are reasonable.
- D05.S2.04.01 Generate and analyze a number or shape pattern that follows a given rule and describe its features.
- D05.S2.04.02 Use a letter or symbol to stand for an unknown number in a simple equation and find its value.
- D05.S3.04.01 Draw and identify points, lines, line segments, rays, and angles, and classify shapes by their lines and angles.
- D05.S3.04.02 Apply formulas for the area and perimeter of rectangles to solve real-world and mathematical problems.
- D05.S4.04.01 Convert measurements within a system and solve problems involving distance, time, volume, and money.
- D05.S4.04.02 Make and interpret line plots with fractional measurements and answer questions about the data.
Essential questions
- How do I work with very large numbers and check that my answers make sense?
- How do patterns, shapes, measurement, and data help me make sense of the world?
Big ideas
- Place value to one million and the four operations with estimation make big numbers understandable and checkable.
- Patterns, equations, angles, area and perimeter, measurement conversions, and line plots are tools for real questions.
Lessons
- 1 Place Value to One Million 45 minutes
- 2 Rounding & Comparing to One Million 45 minutes
- 3 Adding & Subtracting Multi-Digit Numbers 45 minutes
- 4 Multiplying Multi-Digit Numbers 45 minutes
- 5 Dividing Multi-Digit Numbers 45 minutes
- 6 Estimation: Does My Answer Make Sense? 45 minutes
- 7 Patterns That Follow a Rule 45 minutes
- 8 Analyzing Pattern Features 45 minutes
- 9 Unknown Numbers & Simple Equations 45 minutes
- 10 Points, Lines, Segments, Rays & Angles 45 minutes
- 11 Classifying Shapes by Lines & Angles 45 minutes
- 12 Area of Rectangles 45 minutes
- 13 Perimeter of Rectangles 45 minutes
- 14 Converting Length & Distance 45 minutes
- 15 Converting Time, Volume & Money 45 minutes
- 16 Line Plots with Fractional Data 45 minutes
Assessment plan
Number check-ins with real objects and estimation, and a portfolio of pattern tables, classified shapes, area-and-perimeter problems, measurement conversions, and line plots.
Unit 5 — Numbers, Patterns, Shapes & Data
Overview
This unit grows number work from Grade 3’s place value to 1,000. Learners use place value to 1,000,000 to read, write, round, and compare multi-digit whole numbers, and add, subtract, multiply, and divide multi-digit whole numbers, using estimation to check that answers are reasonable. They generate and analyze a number or shape pattern that follows a given rule, use a letter or symbol to stand for an unknown number in a simple equation, draw and identify points, lines, line segments, rays, and angles and classify shapes by their lines and angles, apply formulas for the area and perimeter of rectangles, convert measurements within a system to solve problems involving distance, time, volume, and money, and make and interpret line plots with fractional measurements. Mathematics is taught as sense-making with real things, drawn from many traditions, for everyone.
Essential questions
- How do I work with very large numbers and check that my answers make sense?
- How do patterns, shapes, measurement, and data help me make sense of the world?
Lessons
| Lesson | Title | Standards |
|---|---|---|
| 1 | Place Value to One Million | D05.S1.04.01 |
| 2 | Rounding & Comparing to One Million | D05.S1.04.01 |
| 3 | Adding & Subtracting Multi-Digit Numbers | D05.S1.04.02 |
| 4 | Multiplying Multi-Digit Numbers | D05.S1.04.02 |
| 5 | Dividing Multi-Digit Numbers | D05.S1.04.02 |
| 6 | Estimation: Does My Answer Make Sense? | D05.S1.04.02 |
| 7 | Patterns That Follow a Rule | D05.S2.04.01 |
| 8 | Analyzing Pattern Features | D05.S2.04.01 |
| 9 | Unknown Numbers & Simple Equations | D05.S2.04.02 |
| 10 | Points, Lines, Segments, Rays & Angles | D05.S3.04.01 |
| 11 | Classifying Shapes by Lines & Angles | D05.S3.04.01 |
| 12 | Area of Rectangles | D05.S3.04.02 |
| 13 | Perimeter of Rectangles | D05.S3.04.02 |
| 14 | Converting Length & Distance | D05.S4.04.01 |
| 15 | Converting Time, Volume & Money | D05.S4.04.01 |
| 16 | Line Plots with Fractional Data | D05.S4.04.02 |