Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
- Assessment Limits :
Geometric figures must be two-dimensional polygons. - Calculator :
yes
- Context :
allowable
- Test Item #: Sample Item 1
- Question:
A rectangle with its dimensions, in inches (in.), is shown.
Use the Connect Line tool to create a scale drawing of the rectangle.
- Difficulty: N/A
- Type: GRID: Graphic Response Item Display
- Test Item #: Sample Item 2
- Question: Lisa drew a picture of a boat. She used the scale shown.
1 inch : 6 feet The boat in her picture is 7 inches long.
What is the length, in feet, of the actual boat?
- Difficulty: N/A
- Type: EE: Equation Editor
- Test Item #: Sample Item 3
- Question: Lisa drew a picture of a boat. She used the scale shown.
1 inch : 6.5 feet The boat in her picture is 7.25 inches long.
What is the length, in feet, of the actual boat?
- Difficulty: N/A
- Type: EE: Equation Editor
- Test Item #: Sample Item 4
- Question:
Eric wants to create a scale drawing of a house.
The scale drawing needs to fit on a piece of paper that is 6 inches wide. The drawing itself must be ate least 3 inches wide.
A. Drag numbers into the box to show an appropriate scale for the drawing.
B. Use the Connect Line tool to create a drawing based on the scale you chose in Part A.
- Difficulty: N/A
- Type: GRID: Graphic Response Item Display
Related Courses
Related Access Points
Related Resources
Formative Assessments
Lesson Plans
Original Student Tutorial
Perspectives Video: Teaching Idea
Problem-Solving Tasks
Teaching Ideas
Tutorial
Unit/Lesson Sequence
Virtual Manipulatives
STEM Lessons - Model Eliciting Activity
In this lesson, students create a fish tank for a fish supply company for a future sales campaign. They will use scale drawings and proportions to design the perfect fish tank.
- First, students have to complete a ranking activity of items that will be included in their scale drawing along with three types of fish.
- Next, students will conduct a pH lab activity to gain knowledge about how pH levels will affect population and the ecosystem within the tank.
- Finally, students will adjust their item selection and re-engineer their tank drawing to support their findings and additional information provided by the client. Students must determine what objects would be beneficial to the living things that the students chose in relation to available space and pH balance.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.
MFAS Formative Assessments
Students are asked to find the length and area of an object when given a scale drawing of the object.
Students are asked to find the ratio of the area of an object in a scale drawing to its actual area and then relate this ratio to the scale factor in the drawing.
Original Student Tutorials Mathematics - Grades 6-8
Learn to use architectural scale drawings to build a new horse arena and solve problems involving scale drawings in this interactive tutorial. By the end, you should be able to calculate actual lengths using a scale and proportions.
Student Resources
Original Student Tutorial
Learn to use architectural scale drawings to build a new horse arena and solve problems involving scale drawings in this interactive tutorial. By the end, you should be able to calculate actual lengths using a scale and proportions.
Type: Original Student Tutorial
Problem-Solving Task
The purpose of this task is for students to translate between measurements given in a scale drawing and the corresponding measurements of the object represented by the scale drawing. If used in an instructional setting, it would be good for students to have an opportunity to see other solution methods, perhaps by having students with different approaches explain their strategies to the class. Students who can only solve this by first converting the linear measurements will have a hard time solving problems where only area measures are given.
Type: Problem-Solving Task
Tutorial
In this lesson, students will be viewing a Khan Academy video that will show how to convert ratios using speed units.
Type: Tutorial
Virtual Manipulative
Explore the effect on perimeter and area of two rectangular shapes as the scale factor changes.
Type: Virtual Manipulative
Parent Resources
Problem-Solving Task
The purpose of this task is for students to translate between measurements given in a scale drawing and the corresponding measurements of the object represented by the scale drawing. If used in an instructional setting, it would be good for students to have an opportunity to see other solution methods, perhaps by having students with different approaches explain their strategies to the class. Students who can only solve this by first converting the linear measurements will have a hard time solving problems where only area measures are given.
Type: Problem-Solving Task