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− | | + | ==Lesson 1: Objective== |
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− | |width = "2500" style="background-color:#FFFFFF;"|'''Objective: '''Student will make decisions about units and scales that are appropriate for problem solving situations involving mathematics within mathematics or across disciplines or contexts. | + | |width = "2500" style="background-color:#FFFFFF;"|'''Objective: '''Student will make decisions about units and scales that are appropriate for problem solving situations involving mathematics within mathematics or across disciplines or contexts, and: |
| + | # Convert units using standard/known conversion units. |
| + | # Use appropriate known formulas for the area. |
| + | # Solve multistep problems involving one unit of measure. |
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− | || || L + W || || L x W | + | |align=center|L + W |
| + | |align=center| L x W |
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| ||70 units = 5 units + 65 units || 5 units x 65 units = 325 units<sup>2</sup> | | ||70 units = 5 units + 65 units || 5 units x 65 units = 325 units<sup>2</sup> |
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− | |width = "2500" style="background-color:#FFFFFF;"|# Provide picture representations of the word problem to students as it is being read. | + | |width = "2500" style="background-color:#FFFFFF;"| |
− | * Present word problem electronically using text-to-speech. | + | # Provide picture representations of the word problem to students as it is being read. |
− | * Label each column of the table using picture symbols and include measurements for length and width needed for a perimeter of 140 ft. | + | :* Present word problem electronically using text-to-speech. |
− | * Remind students how to determine perimeter and area. | + | :* Label each column of the table using picture symbols and include measurements for length and width needed for a perimeter of 140 ft. |
− | * Provide formulas and task-analyzed steps for using the formulas: | + | :* Remind students how to determine perimeter and area. |
− | * Perimeter = L+L+W+W or 2L + 2W
| + | ::* Provide formulas and task-analyzed steps for using the formulas: |
− | * Area = L x W
| + | ::: -Perimeter = L+L+W+W or 2L + 2W |
− | ** Perimeter = 140ft: 2L+2W = 140ft or L+W = 70ft
| + | ::: -Area = L x W |
− | * Provide students with models of the various fenced-in areas (rectangles). | + | ::: -Perimeter = 140ft: 2L+2W = 140ft or L+W = 70ft |
− | ** Students use the given formula and calculators to determine area.
| + | :* Provide students with models of the various fenced-in areas (rectangles). |
− | ** Students use the grid paper to identify the rectangle that provides the most area.
| + | :: -Students use the given formula and calculators to determine area. |
| + | :: -Students use the grid paper to identify the rectangle that provides the most area. |
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− | # For steps 3-6, students discuss results by presenting the length and width of the rectangle with the largest area that they discovered in their group, or students point to the actual picture representation of the rectangle with the largest area.
| + | <ol start=2><li> For steps 3-6, students discuss results by presenting the length and width of the rectangle with the largest area that they discovered in their group, or students point to the actual picture representation of the rectangle with the largest area.</li></ol> |
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− | |width = "2500" style="background-color:#FFFFFF;"|# Modify the word problem to include smaller whole numbers. | + | |width = "2500" style="background-color:#FFFFFF;"| |
− | ** For example, Alex has 16 yards of fencing to place around a rectangular garden he is making. He wants the area of the garden to be as large as possible. What should the length and width of the garden be?
| + | # Modify the word problem to include smaller whole numbers. |
− | ** Provide students with picture and/or tactile representations of the important aspects of the problem as it is being read.
| + | :* For example, Alex has 16 yards of fencing to place around a rectangular garden he is making. He wants the area of the garden to be as large as possible. What should the length and width of the garden be? |
− | ** As information is provided, students organize the information in a graphic organizer, baskets, etc.
| + | :* Provide students with picture and/or tactile representations of the important aspects of the problem as it is being read. |
| + | :* As information is provided, students organize the information in a graphic organizer, baskets, etc. |
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− | # Provide students with a computer program or premade PowerPoint as used in previous portions of the lesson to explore rectangles with the same perimeter but different areas.
| + | <ol start=2><li> Provide students with a computer program or pre-made PowerPoint as used in previous portions of the lesson to explore rectangles with the same perimeter but different areas.</li> |
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− | # Using the computer program or PowerPoint with switch access, students verify that the perimeter is 16 yd. in the modified word problem and count the area units to determine the area.
| + | <li> Using the computer program or PowerPoint with switch access, students verify that the perimeter is 16 yd. in the modified word problem and count the area units to determine the area.</li> |
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− | # After students have verified the perimeter or determined the area for a particular rectangle, the program should insert the number of units into the correct portion of the chart. Remember, the alternate keyboard or switches used should have picture or tactile representations of area and perimeter so students determine the correct measurement.
| + | <li> After students have verified the perimeter or determined the area for a particular rectangle, the program should insert the number of units into the correct portion of the chart. Remember, the alternate keyboard or switches used should have picture or tactile representations of area and perimeter so students determine the correct measurement.</li> |
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| '''See Example''': PowerPoint Lesson 1, Slide 8. | | '''See Example''': PowerPoint Lesson 1, Slide 8. |
− | # Students indicate the rectangle with the largest area by choosing rectangle A or B.
| + | <li> Students indicate the rectangle with the largest area by choosing rectangle A or B.</li></ol> |
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− | |width = "2500" style="background-color:#FFFFFF;"|'''Additional Considerations for Emerging Readers and Emerging Communicators''' | + | |width = "2500" style="background-color:#D9D9D9;"|'''Additional Considerations for Emerging Readers and Emerging Communicators''' |
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− | |width = "2500" style="background-color:#FFFFFF;"|# When reviewing the expected outcomes, have students refer to the lesson objectives they recorded in their mathematics journals or their electronic picture versions. | + | |width = "2500" style="background-color:#FFFFFF;"| |
| + | <ol><li> When reviewing the expected outcomes, have students refer to the lesson objectives they recorded in their mathematics journals or their electronic picture versions. </li> |
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− | # Students use the information recorded in their journals to refer back to the lesson objectives key words paired with images. From that information, they share what they have learned based on each of the expectations.
| + | <li> Students use the information recorded in their journals to refer back to the lesson objectives key words paired with images. From that information, they share what they have learned based on each of the expectations. </li> |
− | ** For example, the student may grab the tactile cue for area to state, "I have learned that the area is all the space measured within a figure."
| + | :* For example, the student may grab the tactile cue for area to state, "I have learned that the area is all the space measured within a figure." |
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− | # Students refer back to the photographs or models/tactile representations of examples of real-life situations in which these concepts are used to share when they could use these new skills.
| + | <li> Students refer back to the photographs or models/tactile representations of examples of real-life situations in which these concepts are used to share when they could use these new skills. </li></ol> |
− | ** For example, the student could touch the tactile representations for area and table top to state, "I can use area to determine if an object will fit on my desk."
| + | :* For example, the student could touch the tactile representations for area and table top to state, "I can use area to determine if an object will fit on my desk." |
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− | |width = "2500" style="background-color:#FFFFFF;"|'''Additional Considerations for Emerging Readers and Emerging Communicators''' | + | |width = "2500" style="background-color:#D9D9D9;"|'''Additional Considerations for Emerging Readers and Emerging Communicators''' |
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− | |width = "2500" style="background-color:#FFFFFF;"|# Use the same supports as used in the practice section to solve for the given problem. | + | |width = "2500" style="background-color:#FFFFFF;"| |
| + | # Use the same supports as used in the practice section to solve for the given problem. |
| # Use the supports described in Lesson Body, Step 4: Converting Units of Measure. | | # Use the supports described in Lesson Body, Step 4: Converting Units of Measure. |
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| + | ==Lesson 1: Resources== |
| + | <!--==Lesson 1: Resources== DO NOT REMOVE THIS!--> |
| + | [[Media:UDL_HS_Math_Lesson_1_Resources.pdf|UDL_HS_Math_Lesson_1_Resources.pdf]] |
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− | =='''Lesson 1: Resources '''==
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− | '''The following pages are examples of activities and exercises from Lesson Body, page 8.'''
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− | '''Area and Perimeter of Similar Figures: '''
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− | |width = "125" style="background-color:#FFFFFF;"| | + | Return to [[High School Mathematics UDL Instructional Unit| HS Mathematics UDL Instructional Unit]] Proceed to [[High School Mathematics UDL Instructional Unit-Lesson 2|Lesson 2]] |
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| + | [[Category: High]] |
− | | + | [[Category:Math]] |
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| + | [[Category:UDL]] |
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− | |width = "125" style="background-color:#FFFFFF;"|
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− | |width = "125" style="background-color:#FFFFFF;"|
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− | |width = "125" style="background-color:#FFFFFF;"|
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− | |width = "125" style="background-color:#FFFFFF;"|
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− | |width = "125" style="background-color:#FFFFFF;"|
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− | |width = "125" style="background-color:#FFFFFF;"|
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− | |width = "125" style="background-color:#FFFFFF;"|
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− | |width = "125" style="background-color:#FFFFFF;"|
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− | |width = "125" style="background-color:#FFFFFF;"|
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− | |width = "125" style="background-color:#FFFFFF;"|
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− | |width = "125" style="background-color:#FFFFFF;"|
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− | |-
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− | |}
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− | | + | |
− | Figure A
| + | |
− | A = 12 units x 9 units P = 12 units +12 units + 9 units + 9 units A = 108 units2 P = 42 units
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− | Figure B
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− | A = 6 units x 4.5 units P = 6 units + 6 units + 4.5 units + 4.5 units
| + | |
− | A = 27 units2 P = 21 units
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− | | + | |
− | Compare Area of figures A and B Compare Perimeter of figures A and B
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− | ''AA/AB = 108/27 PA/PB = 42/21 ''
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− | ''''AA/AB = 4/1 PA/PB = 2/1 ''''
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− | | + | |
− | '''Lesson 1: Resources – continued'''
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− | The student can use manipulatives (next 2 images) to compare the two figures by laying rectangle B over rectangle A until completely covered to determine how many times bigger area of A is than B. The student can compare perimeter by laying rectangle B over rectangle A to determine how many are needed to create the same length (2), and how many are needed to create the same width (2).
| + | |
− | The area of A is 4 times the area of B. The perimeter of A is 2 times the perimeter of B.
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− | Tactile representations of similar figures: Cut out figures using construction paper, poster board, card board, sand paper, etc. Representations can also be cut out as templates or frames to lay over grid paper or cut out of transparencies to see grid lines.
| + | |
− | '''Rectangle A ''' '''Rectangle B'''
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− | | + | |
− | | + | |
− | '''Lesson 1: Resources – continued \[\[File:Insert Picture here.jpg\]\]'''
| + | |
− | '''Is the area of Figure A the same as the area of Figure B?'''
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− |
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− | Figure A:
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− | A= 10 units x 3 units
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− | A= 30 units (squared)
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− | Figure B:
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− | A= 6 units x 5 units
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− | A= 30 units (squared)
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− | '''Is the perimeter of Figure A the same as the perimeter of Figure B?'''
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− |
| + | |
− | Figure A:
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− | P= 10 units + 10 units + 3 units + 3 units
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− | P= 26 units
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− | Figure B:
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− | P= 6 units + 6 units + 5 units + 5 units
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− | P= 22 units
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− | '''The perimeter of Figure A and Figure B is:'''
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− | The same Different
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− | '''The perimeter of Figure A is more than / less than / the same as the perimeter of Figure B.'''
| + | |
− | '''Lesson 1: Resources – continued'''
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− | \[\[File:Insert Picture here.jpg\]\]
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− | | + | |
− | These figures can be represented tactilely with raised, thick, exterior and center lines to represent the height measured in feet. They can also be represented with thinner, raised lines to represent width and height in inches.
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− | | + | |
− | | + | |
− | | + | |
− | | + | |
− | '''Lesson 1: Resources – continued'''
| + | |
− | '''The following pages are examples of activities /exercises from Lesson Practice, page 11.'''
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− | {| border=1
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− | |width = "500" style="background-color:#FFFFFF;"|'''Model'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''Length'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''Width'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''Perimeter'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''Area'''
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− | | + | |
− | |-
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− | |width = "500" style="background-color:#FFFFFF;"|'''A'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''40 ft'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''30 ft'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''140 ft'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''1200 ft2 '''
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− | | + | |
− | |-
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− | |width = "500" style="background-color:#FFFFFF;"|'''B'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''45 ft'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''25 ft'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''140 ft'''
| + | |
− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |-
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− | |width = "500" style="background-color:#FFFFFF;"|'''C'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''35'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''35'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''140 ft'''
| + | |
− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |-
| + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''D'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''20'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''50'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|'''140 ft'''
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− | | + | |
− | |width = "500" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |-
| + | |
− | |}
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− | | + | |
− | | + | |
− | | + | |
− | | + | |
− | ''''''Lesson 1: Resources– continued ''''''
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− | | + | |
− | {| border=1
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− | |width = "83" style="background-color:#FFFFFF;"|
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− | |width = "83" style="background-color:#FFFFFF;"|
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− | |width = "83" style="background-color:#FFFFFF;"|
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− | |width = "83" style="background-color:#FFFFFF;"|
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− | |width = "83" style="background-color:#FFFFFF;"|
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− | |width = "83" style="background-color:#FFFFFF;"|
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− | |width = "83" style="background-color:#FFFFFF;"|
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− | |width = "83" style="background-color:#FFFFFF;"|
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− | |width = "83" style="background-color:#FFFFFF;"|
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− | |width = "83" style="background-color:#FFFFFF;"|
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− | |width = "83" style="background-color:#FFFFFF;"|
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− | |width = "83" style="background-color:#FFFFFF;"|
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− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "83" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |width = "93" style="background-color:#FFFFFF;"|
| + | |
− | | + | |
− | |-
| + | |
− | |}
| + | |