Decimals, Fractions, Shapes & Data

Objectives

• D05.S1.05.01 Read, write, compare, and round decimals to the thousandths and connect them to fractions with denominators of 10 and 100.
• D05.S1.05.02 Add, subtract, multiply, and divide fractions and decimals in real contexts such as sharing, cooking, and money.
• D05.S2.05.01 Plot points and graph relationships in the first quadrant of a coordinate grid to represent real situations.
• D05.S2.05.02 Write and evaluate simple expressions and interpret what they mean in a real situation.
• D05.S3.05.01 Graph points in the first quadrant of a coordinate grid and use them to solve problems about location and distance.
• D05.S3.05.02 Find the volume of right rectangular prisms using unit cubes and formulas, and explain what volume measures.
• D05.S4.05.01 Convert among different-sized standard measurement units and use the conversions to solve real problems.
• D05.S4.05.02 Represent and interpret data on line plots with fractions and use the data to solve problems.

Essential questions

• How do decimals, fractions, and expressions help me make sense of quantities?
• How do coordinates, volume, measurement, and data help me make sense of space and information?

Big ideas

• Decimals and fractions name parts of wholes and connect to each other, and operations with them solve real problems.
• The coordinate grid, volume, measurement conversions, and line plots with fractions are tools for describing space, amount, and data.

Lessons

1. 1 Reading and Writing Decimals to Thousandths 45 minutes
2. 2 Comparing, Rounding, and Connecting Decimals to Fractions 50 minutes
3. 3 Adding and Subtracting Decimals with Money 50 minutes
4. 4 Adding and Subtracting Fractions in Sharing and Cooking 50 minutes
5. 5 Multiplying Fractions and Decimals in Real Life 50 minutes
6. 6 Dividing Fractions and Decimals in Real Life 50 minutes
7. 7 Plotting Points and Relationships on a Grid 50 minutes
8. 8 Writing and Evaluating Simple Expressions 45 minutes
9. 9 Graphing Points to Solve Location and Distance Problems 50 minutes
10. 10 More Location and Distance with Coordinates 50 minutes
11. 11 Finding Volume by Counting Unit Cubes 50 minutes
12. 12 The Volume Formula and What Volume Measures 50 minutes
13. 13 Converting Measurement Units 50 minutes
14. 14 Using Conversions to Solve Real Problems 50 minutes
15. 15 Line Plots with Fractions 50 minutes
16. 16 Using Line-Plot Data to Solve Problems 55 minutes

Assessment plan

One-on-one decimal and fraction check-ins with real objects, and coordinate-grid, volume, and measurement tasks observed; a fraction-and-decimal problem set and a line-plot data task as portfolio artifacts.