# Drawing to Scale: A Garden

## Mathematical goals

This lesson unit is intended to help assess how well students are able to interpret and use scale drawings to plan a garden layout. This involves using proportional reasoning and metric units.

## Introduction

This lesson unit is structured in the following way:

- Before the lesson, students work individually on a task designed to reveal their current levels of understanding. You review their responses and create questions to help them improve their work.
- At the start of the lesson, students reflect on their individual responses, before producing a collaborative improved solution to the task. Then, in the same small groups students analyze sample responses. They then discuss as a whole-class the methods they have seen and used.
- In a follow-up lesson, students reflect on their work. If time allows, an extension task is available.

## Materials required

- Each student will need a copy of
*Design a Garden*and*Garden Plan,*some blank paper, a mini-whiteboard, pen, and eraser, and the*How Did You Work*? questionnaire. The*Garden Plan*should be copied at exactly 100% scale so the measurements are accurate. If this is not possible, photocopy the rules on S-3, one rule per student, which should then match the*Garden Plan*measurements. It will be useful to have spare copies of the*Garden Plan.* - Each small group of students will need a new copy of the
*Garden Plan*, the*Assistants’ Methods*, a glue stick, felt-tipped pen, and a sheet of poster paper. For the optional extension*Mandy’s Second Email*will be needed. Provide short rules, meter rules, string, protractors, scissors, glue, card, plain paper, graph paper, and colored pencils for students who choose to use them.

## Time needed

- 20 minutes before the lesson, a 110-minute lesson (or two 60-minute lessons), and 10 minutes in a follow-up lesson. Actual timings will depend on the needs of your students.

## Lesson Type

## Mathematical Practices

This lesson involves a range of *mathematical practices* from the standards, with emphasis on:

- MP1: Make sense of problems and persevere in solving them
- MP2: Reason abstractly and quantitatively
- MP3: Construct viable arguments and critique the reasoning of others
- MP4: Model with mathematics
- MP5: Use appropriate tools strategically
- MP6: Attend to precision
- MP8: Look for and express regularity in repeated reasoning

## Mathematical Content Standards

This lesson asks students to select and apply mathematical content from across the grades, including the *content standards:*

- 7.EE: Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
- 7.G: Draw, construct, and describe geometrical figures and describe the relationships between them.
- 7.G: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
- 7.RP: Analyze proportional relationships and use them to solve real-world and mathematical problems.