High School Mathematics UDL Instructional Unit-Lesson 5
(Created page with " {| border=1 |width = "1250" style="background-color:#FFFFFF;"|'''Grade Span:''' 9 - 10 |width = "1250" style="background-color:#FFFFFF;"|'''Content Area: '''Math - Geom...") |
Jhunsucker (Talk | contribs) |
||
Line 1: | Line 1: | ||
− | + | ==Lesson 5: Objective== | |
− | + | ||
− | + | ||
− | + | ||
− | + | ||
{| border=1 | {| border=1 | ||
Line 55: | Line 51: | ||
− | '''Lesson 5: Introduction – 15 minutes''' | + | =='''Lesson 5: Introduction – 15 minutes'''== |
{| border=1 | {| border=1 | ||
|width = "2500" style="background-color:#FFFFFF;"|'''A. Activate Previous Knowledge (unit rate)''' | |width = "2500" style="background-color:#FFFFFF;"|'''A. Activate Previous Knowledge (unit rate)''' | ||
Line 139: | Line 135: | ||
− | '''Lesson 5: Body – 30 minutes''' | + | =='''Lesson 5: Body – 30 minutes'''== |
{| border=1 | {| border=1 | ||
Line 355: | Line 351: | ||
|} | |} | ||
− | '''Lesson 5: Practice – 30 minutes''' | + | =='''Lesson 5: Practice – 30 minutes'''== |
{| border=1 | {| border=1 | ||
|width = "2500" style="background-color:#FFFFFF;"|1.Provide similar problems and additional practice questions based on students' responses. | |width = "2500" style="background-color:#FFFFFF;"|1.Provide similar problems and additional practice questions based on students' responses. | ||
Line 392: | Line 388: | ||
|} | |} | ||
− | '''Lesson 5: Closure - 15 minutes''' | + | =='''Lesson 5: Closure - 15 minutes'''== |
{| border=1 | {| border=1 | ||
|width = "2500" style="background-color:#FFFFFF;"|'''a'''. '''Revisit/Review Lesson and Objectives ''' | |width = "2500" style="background-color:#FFFFFF;"|'''a'''. '''Revisit/Review Lesson and Objectives ''' | ||
Line 445: | Line 441: | ||
|} | |} | ||
− | '''Lesson 5: Resources''' | + | =='''Lesson 5: Resources'''== |
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + |
Revision as of 14:14, 25 July 2013
Contents |
Lesson 5: Objective
Grade Span: 9 - 10 | Content Area: Math - Geometry |
Lesson 5 of the Unit
|
Approximate Time Needed: 90 minutes or two 45 minute blocks |
Objectives:
|
Essential Question(s):
|
Materials Needed:
Lesson Vocabulary: Area Centimeter Foot Inch Length Meter Ratio Unit of Measure Unit Rate Width Yard |
Lesson 5: Introduction – 15 minutes
A. Activate Previous Knowledge (unit rate)
Orchard number Length of each side (feet) Number of apple trees 1st
2nd 8 feet 4 trees 3rd 12 feet 9 trees 4th 16 feet 16 trees
Multiple means of representation: Present real life problems using drawings, models, and video representations of orchards of various sizes. Multiple means of expression: Allow students to present ideas for problem solving using computer models, demonstrations, visuals, etc. Record problem solving ideas in different formats: mathematics journals, computer, premade or original graphic organizers, etc. Multiple means of engagement: Students may choose the type of orchard when presenting problem. Allow students to work individually or in small groups based on learning style. |
Additional Considerations for Emerging Readers and Emerging Communicators |
# During review, students should refer to their math journals or notes. Be sure students have graphic and/or tactile representations of relevant vocabulary (area, perimeter, length, width) as well as related materials/drawings/object representations from previous lessons.
|
B. Establish Goals/Objectives for the Lesson
Inform students that they will make decisions about units and scales that are appropriate for problem solving situations involving mathematics within mathematics or across disciplines or contexts and:
Multiple means of representation: Along with posting lesson objectives in the classroom, provide individual copies for students. Multiple means of expression: Allow students to record lesson objectives in different formats: mathematics journals, computer, premade or original graphic organizers, etc. Multiple means of engagement: Brainstorm ideas of how and when these skills might be relevant to "me." |
Additional Considerations for Emerging Readers and Emerging Communicators |
# Provide students with keys words paired with symbols/images/ tactile representations (i.e., units of measure, inch, foot, yard, centimeter, and meter).
|
Lesson 5: Body – 30 minutes
Direct Instruction and/or Facilitation of the Lesson
During this portion of the lesson, students will generalize relationships and determine the appropriate scale to express the relationship between two quantities.
Orchard Number Length of Each Side (feet) Area of Each Orchard (ft2) Number of Apple Trees 1st x ? y 2nd 8 ft 64 ft2 4 trees 3rd 12 ft 144 ft2 9 trees 4th 16 ft 256 ft2 16 trees 5th x ? y n
area of orchard number of tree = area 1 tree or the unit rate of area per tree).
64 2 4 trees = ? 2 1 tree or 64 ft2 ÷ 4 trees = 16 ft2 needed for each tree) and confirm that measurement is true for each orchard (i.e., 144 ft2 ÷ 9 trees = 16 ft2 and 256 ft2 ÷ 16 trees = 16 ft2).
Note: Students work in pairs to answer parts 1 - 5 of the problem.
Note: Use whole group discussion for part 6.
|
# Students use the fact that each tree needs 16 ft2 to determine how many trees can be planted in the 1st and 5th orchards using
area of orchard area per tree = \# of trees (i.e., for the 1st orchard, 16 2
= 1 tree and for the 5th orchard, 400 2
= 25 trees).
Multiple means of representation: Allow students to refer to their brainstorming notes during discussion. When discussing unit rate, provide familiar examples (e.g., miles per hour). Provide students with a copy of the word problem and the table under \#1. Have drawings and manipulatives available for students to use. Multiple means of expression: Allow students to solve the problem by using formulas and/or models and record information into the tables using various formats: computer, premade or original graphic organizer, etc. Allow students to use a reference of formulas. Multiple means of engagement: Ensure all students are actively involved in their partnerships. Use scenarios related to students' interests. For example, if a student is interested in animals instead of orchard trees, the scenario could involve the rate of grazing area per horse. Use questioning to encourage students to explain their strategies. |
Lesson 5: Body – continued
Additional Considerations for Emerging Readers and Emerging Communicators |
# Refer to the brainstorming ideas for solving the problem. Include picture and/or tactile representations as needed.
See Example: Manipulative worksheets or PowerPoint Lesson 5, Slide 1.
area of orchard number of trees or 64 2 4 trees = ? 2 1 tree .
64 2 4 trees = ? 2 1 tree or 64 ft 2 4 trees = 16 ft 2 1 tree The unit rate is 16ft2 per tree.
See Example: PowerPoint Lesson 5, Slide 2.
x+4ft = 8ft x + 4ft - 4ft = 8ft – 4ft x=4ft
16 ft + 4 ft = x 20 ft = x See Example: PowerPoint lesson 5, Slide 3.
See Example: PowerPoint Lesson 5, Slide 4.
See Example: PowerPoint Lesson 5, Slide 5.
See Example: Lesson 5 or students use virtual manipulatives as in PowerPoint Lesson 5 Slide 2.
See Example: PowerPoint Lesson 5, Slide 6. Important Consideration: For some students, the difficulty/complexity can be reduced by using only the first quadrant of the coordinate grid. |
Lesson 5: Practice – 30 minutes
1.Provide similar problems and additional practice questions based on students' responses.
Multiple means of representation: Provide students with a copy of the word problem and the table. Have drawings and manipulatives available for students to use. Multiple means of expression: Allow students to solve the problem by using formulas and/or models and record information into the tables using various formats: computer, premade or original graphic organizer, etc. Allow students to use a reference of formulas. Multiple means of engagement: Ensure all students are actively involved in their partnerships. Use scenarios related to students' interests. For example, if a student is interested in animals instead of orchard trees, the scenario could involve a rate of grazing area per horse. Use questioning to encourage students to explain their strategies. |
Additional Considerations for Emerging Readers and Emerging Communicators |
1.Provide students with copies of the problem paired with picture and/or tactile representations. Ensure students have the table used during instruction to refer to for solving this problem.
See Example: Manipulatives or PowerPoint Lesson 5, Slides 7 & 8.
16 ft 2 1 tree .
|
Lesson 5: Closure - 15 minutes
a. Revisit/Review Lesson and Objectives
Remind students that they were to make decisions about units and scales that are appropriate for problem solving situations within mathematics or across disciplines or contexts and:
Multiple means of representation: Along with posting lesson objectives in the classroom, students may refer to their individual copies. Multiple means of expression: Students can share what they have learned in different formats: writing, drawing, creative expression, etc. Multiple means of engagement: Share ideas of how and when these skills might be relevant to "me." |
Additional Considerations for Emerging Readers and Emerging Communicators |
# When reviewing the expected outcomes, have students refer to the lesson objectives they recorded in their mathematics journals or their electronic picture versions.
|
B. Exit Assessment
Multiple means of representation: Ensure students have the previous word problems from this lesson and/or lesson 4 to review and model. Have previous drawings, models, and manipulatives available for students to use. Multiple means of expression: Allow students to create the problem using various formats: computer, premade or original graphic organizer, models, etc. Allow students to use a reference of formulas. Multiple means of engagement: Ensure all students are actively involved in creating their problems. Encourage students to use scenarios related to their interests. For example, if a student is interested in animals instead of orchard trees, the scenario could involve a rate of grazing area per horse. Use questioning to encourage students to explain their strategies. |
Additional Considerations for Emerging Readers and Emerging Communicators |
# Students should have access to a variety of picture representations and models as they brainstorm ideas for their problems. Provide choices of interest to students in picture/tactile format.
|