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IQ0 Crazy Arrow

Page history last edited by Debra Schneider 9 years, 6 months ago

IQ0 Line Art 

 

 

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TASK

.pdf

.doc

Teacher notes

.pdf

.doc

 

 

Summary

Student will graph a picture. Find the domain of the line segments of the picture are drawn. Then graph line segments with fixed domain. Then students color in the picture and rewrite the linear functions as inequalities that match the shading. They use technology to check their line segments and inequalities.

Language:

domain and range

one variable inequality

linear function

 

Differentiation

All students

# 1 – 5

Review of prior learning but in new context.

  • Domain and range

  • graph lines

#6 – 7

Write equations of inequalities.

Most students

# 8

Create their own picture.

Grouping: Individual

Formative Assessment:

#5 & 7

Students self assess

W  

 

 

hat to bring out in the Debrief:

    • Review of domain and range.

    • Connect restricted domain and range to technology.

    • When do you use or ?

Resources:

 

Common Core Standards

Systems of Equations Learning Targets

Practice 6. Attend to precision.

 

A-REIc I can represent and solve equations and inequalities graphically.

A-REI.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

  • Graph linear inequalities or systems of inequalities by hand or with technology.

 

BIG Idea:Students will be able to graph data, find a function that best fits data, find and interpret correlation coefficient, graph residual plots to determine if the function is the best model, and use the model to make predictions.

s

  1. Write the linear function and domain of the line segment.

 

Linear Function

Domain

y = x + 5

-1 ≤ x ≤ 2

2 ≤ x ≤ 8

y = 4

-1 ≤ x ≤ 8

 

  1. Color in the triangle in the interior.

What is the range of the triangle?

4 y 7

 

 

  1. Draw the line with the given domain.

Linear Function

Domain

y = -1

-1 ≤ x ≤ 8

4 ≤ x ≤ 8

-1 ≤ x ≤ 0

y = 4

-1 ≤ x ≤ 8

 

  1. Color in the quadrilateral in the interior.

What is the range of the quadrilateral?

-1 y 4

 

  1. Use technology to check your line segments.

    1. Check the triangle.

    2. Check the quadrilateral.

TI -84 www.geogebra.org www.desmos.com other?

 

  1. Rewrite the linear function as an inequality that represents the shaded region.

Linear Function

Inequality

y = x + 5

y x + 5

y = 4

y 4

y = -1

y -1

 

  1. Use technology to check your inequalities.

    1. Check the triangle.

    2. Check the quadrilateral.

TI -84 www.geogebra.org www.desmos.com other?

 

  1. Make your own design similar to mine with 12 or fewer lines. You need to turn in the directions (like the one on this page) and the drawing on graph paper.

 


Creative Commons License
Algebra 1 by Southwest Washington Common Core Mathematics Consortium is licensed under a Creative Commons Attribution 4.0 International License.

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