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Grade 5 Sample Lesson

Geometry - 5.G.A.1

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Detailed Lesson Plan

Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

LESSON: AVALANCHE RESCUE TRAINING

Where is the victim in relation to you?

The coordinate plane is the basis for many concepts in future mathematics, such as visualizing equations and scatter plots. During Avalanche Rescue Training, the students are part of the Ski Patrol training for avalanche rescues. The trainers explain the set up of the coordinate grid as being part of the Beacon system worn by patrol and used to help guide the avalanche dogs to the victim's location. The data provided is a numberless grid showing the location of the "victim."

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Day 1

Test Trainer Pro

7 to 10 minutes

Test Trainer Pro.png

Students use this adaptive tool at the beginning of class, for 7-10 minutes, rotating through different domains each day. They experience a series of math problems, exposing them to a variety of math skills. Both students and teachers can track student progress throughout the year.

Test Trainer Pro is not included in this sample lesson. For a 30-day trial of the complete toolset, including Test Trainer Pro, contact us at info@midschoolmath.com.

The Math Simulator

40 to 50 minutes

1.Immersion

  • Play Immersion video, whole-class.

  • Restate the question: Where is the victim in relation to you?

  • Facilitate classroom discussion; ask students: "What do we need to know?"

2.Data & Computation

  • Print and copy the Data Artifact and distribute to students.

  • Allow students work time. Answer their questions with other questions to push their thinking. Ask students: "Does your answer make sense?" Withhold confirmation of the answer.

  • Consider using a sharing protocol leading to mathematical insights and/or highlighting misconceptions.

  • Allow students to revise their work.

3.Resolution

Answer: The victim is located and rescued at the point (7, 9).

  • Have students compare their strategy to that shown in the video.

Teacher Instruction

8 to 10 minutes

Deliver a brief, clear lecture using your preferred method (Interactive white-board/Slide Deck/Whiteboard).

The Teacher Instruction part of the Detailed Lesson Plan includes statements you might make, images you might show and examples you might want to use. Please customize it to your needs and to the needs of your students.

The lecture should:

  • Connect to The Math Simulator story as often as possible

  • Bridge student strategies to the actual math of the standard

  • Formalize the math of the standard

  • Introduce other parts of the standard not included in The Math Simulator components

Day 2

Test Trainer Pro

7 to 10 minutes

Test Trainer Pro.png

Students use this adaptive tool at the beginning of class, for 7-10 minutes, rotating through different domains each day. They experience a series of math problems, exposing them to a variety of math skills. Both students and teachers can track student progress throughout the year.

Test Trainer Pro is not included in this sample lesson. For a 30-day trial of the complete toolset, including Test Trainer Pro, contact us at info@midschoolmath.com.

Simulation Trainer

20 to 40 minutes

Students should be prepared with pencil, paper and headphones.

Tell them their goal is to correctly answer a series of questions all in a row to earn green dots. They are also tasked with teaching their classmates so that EVERYONE earns their green dots.

Instruct students to navigate to bit.ly/5GA1-Sim and click BEGIN. Work to completion or until time runs out.

Data for this component will not be saved for you or your students in this Sample Mode. For a 30-day trial of the complete toolset, contact us at info@midschoolmath.com.

Practice Printable

8 to 10 minutes

If time permits:

  • Print and copy the Practice Printable and distribute to students.

  • Have students begin to work on the front page.

Options for use:

  • Exit/Entry ticket

  • Differentiation & grouping for Day 3

Day 3

Test Trainer Pro

7 to 10 minutes

Test Trainer Pro.png

Students use this adaptive tool at the beginning of class, for 7-10 minutes, rotating through different domains each day. They experience a series of math problems, exposing them to a variety of math skills. Both students and teachers can track student progress throughout the year.

Test Trainer Pro is not included in this sample lesson. For a 30-day trial of the complete toolset, including Test Trainer Pro, contact us at info@midschoolmath.com.

Practice Printable & Tutorial

10 to 20 minutes

Play Tutorial Video, whole-class, to show a worked example from the Practice Printable.

Group students if desired, based on Exit Ticket or previous day's work.

Have students continue their work on the Practice Printable.

Options for use:

  • Exit/Entry ticket

  • Differentiation & grouping

  • Stations

  • Homework

Consider using protocols that promote student collaboration and discourse.

Example: I Wonder, I Notice (8-10 min): Following a completed whole-class assignment, set ground rules for peer critique, including being thoughtful, specific, and helpful (≈1 min). Choose a student to be "the originator" who is tasked to explain his or her approach and solution to a problem (≈2 min), while other students listen only. Then ask other students to ask "the originator" clarifying questions or comments that start with 'I wonder' and 'I notice' (≈5-6 min).

Student Reflection

30 to 40 minutes

Students should be prepared with colored pencils and white paper.

Print and copy the Student Reflection Rubric and distribute to students.

Instruct students to use the rubric to begin creating a personal reflection based this sample lesson. If time is limited, this task may need to be completed outside of class.

Hang completed reflections in your classroom or in the hallway.

Day 4

Test Trainer Pro

7 to 10 minutes

Students use this adaptive tool at the beginning of class, for 7-10 minutes, rotating through different domains each day. They experience a series of math problems, exposing them to a variety of math skills. Both students and teachers can track student progress throughout the year.

Test Trainer Pro is not included in this sample lesson. For a 30-day trial of the complete toolset, including Test Trainer Pro, contact us at info@midschoolmath.com.

Clicker Quiz

Approx. 40 minutes

Teacher should:

Students should:

  • Be prepared with pencil and paper

  • Access the Virtual Clicker at http://bit.ly/MyClicker

  • Enter the Quiz Code on the Virtual Clicker

Students will vote on each question and should be given opportunities to discuss strategies and answers together on most questions.

Based on the class distribution for each question, consider:

  • Giving a mini-lesson

  • Highlighting misconceptions

  • Allowing students to explain to other students

  • Celebrate successes!