Linear Functions

Content

• Grade Level: 8th Grade
• Unit: Investigation of Linear Functions and Inequalities (Two-Variables)
• Standards: Extend 8.4B, 8.4C, 8.5I, A.2A, A.2C, A.2G, A.2H, A.3A, A.3B, A.3C, A.3D, A.3E

Schedule: September 24, 2024 - October 4, 2024

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September 24, 2024

- Knowledge: Understand the concept of slope and rate of change.
- Skill: Calculate the slope from graphs.
- Daily Learning Target: I can find the slope of a line from its graph.
- Success Criteria: Students can correctly calculate the slope from at least two different graphed lines.
- Exemplar: Teacher will show the steps to find the slope of a line using two points on the graph.

Lesson Progression:

I Do (Direct Instruction/Teacher Model)

• Introduce the concept of slope and why it is important.
• Demonstrate how to find the slope from a line on the graph using an example.

We Do (Guided Practice)

• Work together with students on practice problems from Stemscopes: Explore 1: From Graphs.

You Do (Independent Practice/Formative Assessment)

• Students will find the slope of different lines on provided graphs.

504/Special Education: Line the axis on graph paper with highlighter for better visibility.

EB Accommodations: Provide step-by-step instructions in both English and the student’s first language if needed.

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September 25, 2024

- Knowledge: Understand how to calculate the slope from two points or a table.
- Skill: Calculate the slope using two given points or data from a table.
- Daily Learning Target: I can find the slope of a line using two points.
- Success Criteria: Students can determine the slope from tables or two points at least 3 times correctly.
- Exemplar: Teacher demonstrates how the formula (m = (y2 - y1) / (x2 - x1)) is applied to find the slope.

Lesson Progression:

I Do

• Explain the slope formula and demonstrate how to use it with two points or a table.

We Do

• Practice using the formula with students on problems from Stemscopes: Explore 2: From 2 Point/Table.

You Do

• Students will independently determine the slope from given sets of points and tables.

504/Special Education: Provide color-coded formula sheets.

EB Accommodations: Use visual aids that include translations in the students' native languages where possible.

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September 26, 2024

- Knowledge: Understand how to calculate slope from equations.
- Skill: Determine slope from linear equations in different forms.
- Daily Learning Target: I can find the slope from linear equations.
- Success Criteria: Students can identify the slope from equations correctly at least twice.
- Exemplar: Teacher models determining slope from equations in y = mx + b form and others.

Lesson Progression:

I Do

• Explain how to find the slope from a linear equation, using the standard form and slope-intercept form.

We Do

• Guide the students through several practice problems from Stemscopes: Explore 3: From Equations.

You Do

• Students will independently find the slope from equations provided on a worksheet.

504/Special Education: Break down each form of equation step-by-step.

EB Accommodations: Provide both verbal explanations and written instructions in both English and students' native language where possible.

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September 27, 2024

- Knowledge: Understand multiple representations of linear functions.
- Skill: Recognize and interpret slope in graphs, tables, equations, and real-world contexts.
- Daily Learning Target: I can interpret slope in multiple representations.
- Success Criteria: Students can correctly interpret the slope in multiple contexts in at least 2 problems.
- Exemplar: Teacher will provide multiple representations and demonstrate interpretation of slope.

Lesson Progression:

I Do

• Show examples of linear functions in different formats like graphs, tables, and word problems.

We Do

• Interactive activity working through problems from Stemscopes: Explore 4: From Multiple Representations.

You Do

• Students will interpret the slope from a mixture of graphs, tables, and real-life scenarios.

504/Special Education: Use large-print materials and simplify language in word problems.

EB Accommodations: Provide real-life scenarios in native languages.

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September 30, 2024

- Knowledge: Identify key features of linear functions.
- Skill: Identify slope, intercepts, and domain/range from graphs and equations.
- Daily Learning Target: I can identify the key features of linear functions.
- Success Criteria: Students can label key features on at least 3 problems correctly.
- Exemplar: Teacher labels key features on a graph example.

Lesson Progression:

I Do

• Introduce key features and demonstrate identification from graphs and equations.

We Do

• Work through examples together from Stemscopes: Explore 1: Key Features.

You Do

• Students will identify and label key features on given problems.

504/Special Education: Provide visual aids with labeled parts of the graph.

EB Accommodations: Translate key terms into the students' native languages as needed.

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October 1, 2024

- Knowledge: Understand how to graph linear functions.
- Skill: Graph linear functions accurately.
- Daily Learning Target: I can graph linear functions accurately.
- Success Criteria: Students successfully plot at least two linear functions.
- Exemplar: Teacher graphs a linear function using a table of values.

Lesson Progression:

I Do

• Demonstrate plotting a linear function on a graph.

We Do

• Collaborative activity with students to graph functions from equations (Stemscopes: Explore 2: Graph Linear Functions).

You Do

• Students will graph their own functions on graph paper independently.

504/Special Education: Use graph templates with pre-drawn axes.

EB Accommodations: Provide step-by-step guides in students' native languages.

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October 2, 2024

- Knowledge: Understand how to graph linear functions from equations.
- Skill: Transfer forms of linear functions to graphical representations.
- Daily Learning Target: I can graph linear functions from their equations.
- Success Criteria: Students accurately graph functions from equations at least twice.
- Exemplar: Teacher graphs linear functions from different forms of equations.

Lesson Progression:

I Do

• Show how to translate equations to graphical form.

We Do

• Practice together on examples from Stemscopes: Explore 3: Graph From Equations.

You Do

• Independent practice where students graph equations on provided graph sheets.

504/Special Education: Simplify equations and provide more guided steps.

EB Accommodations: Offer translated instructions and visual aids in native languages.

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October 3, 2024

- Knowledge: Understand linear transformations.
- Skill: Apply transformations to linear functions.
- Daily Learning Target: I can apply linear transformations and describe their effects.
- Success Criteria: Students correctly apply and describe transformations on at least two problems.
- Exemplar: Teacher demonstrates transformations such as shifts and reflections.

Lesson Progression:

I Do

• Explain what linear transformations are and how they work.

We Do

• Work through transformations together (shifts, reflections) with problems from Stemscopes: Explore 4: Linear Transformations.

You Do

• Apply transformations independently on provided problems.

504/Special Education: Use visual aids to demonstrate transformations.

EB Accommodations: Provide bilingual resources and transformations described in both English and native languages.

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October 4, 2024

- Knowledge: Understand the concept of parallel and perpendicular lines.
- Skill: Identify and graph parallel and perpendicular lines.
- Daily Learning Target: I can identify and graph parallel and perpendicular lines.
- Success Criteria: Students correctly identify and graph at least two pairs of lines.
- Exemplar: Teacher explains and demonstrates parallel and perpendicular lines on a graph.

Lesson Progression:

I Do

• Define and show examples of parallel and perpendicular lines.

We Do

• Collaboratively identify and graph pairs of lines (Stemscopes: Explore 1: Parallel & Perpendicular Slopes).

You Do

• Students independently identify and graph parallel and perpendicular lines on graph paper.

504/Special Education: Use coloured lines to differentiate between the types.

EB Accommodations: Explain concepts with visual aids in native languages.

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Additional Notes:

1. Flexible Pacing: Students will be allowed to work at their own pace using online resources provided by Ms. Casias' YouTube playlists.
2. Mastery Learning: Students will demonstrate mastery before moving on to the next topic.

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This lesson plan encourages active learning and engagement with the students while providing tailored support for diverse learning needs.