Remarks
Geometry - Fluency RecommendationsFluency with the triangle congruence and similarity criteria will help students throughout their investigations of triangles, quadrilaterals, circles, parallelism, and trigonometric ratios. These criteria are necessary tools in many geometric modeling tasks.
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 :
Items may use geometric figures of any shape if the figure can be
deconstructed to form a triangle. - Calculator :
Neutral
- Clarification :
Students will use congruence criteria for triangles to solve problems.Students will use congruence criteria for triangles to prove
relationships in geometric figures.Students will use similarity criteria for triangles to solve problems.
Students will use similarity criteria for triangles to prove relationships
in geometric figures. - Stimulus Attributes :
Items may be set in a real-world or mathematical context. - Response Attributes :
Items may require the student to use or choose the correct unit of
measure.
- Test Item #: Sample Item 1
- Question:
There are three highlights in the paragraph to show blanks in the proof. For each highlight, click on the word or phrase to fill in the blank.
- Difficulty: N/A
- Type: ETC: Editing Task Choice
Related Courses
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Related Resources
Formative Assessments
Lesson Plans
Perspectives Video: Teaching Idea
Problem-Solving Tasks
MFAS Formative Assessments
Students are asked to decide if a basketball goal is regulation height and are given enough information to determine this using similar triangles.
Students are given a diagram of a county fair and are asked to use similar triangles to determine distances from one location of the fair to another.
Students are asked to prove a specific diagonal of a rhombus bisects a pair of angles.
Students are asked locate a pair of similar triangles in a diagram, explain why they are similar, and use the similarity to find two unknown lengths in the diagram.
Students are asked to locate a pair of similar triangles in a diagram, explain why they are similar, and use the similarity to find an unknown length in the diagram.
Student Resources
Problem-Solving Tasks
This task asks students to use similarity to solve a problem in a context that will be familiar to many, though most students are accustomed to using intuition rather than geometric reasoning to set up the shot.
Type: Problem-Solving Task
This task involves a reasonably direct application of similar triangles, coupled with a moderately challenging procedure of constructing a diagram from a verbal description.
Type: Problem-Solving Task
This problem solving task asks students to find the area of a triangle by using unit squares and line segments.
Type: Problem-Solving Task
Parent Resources
Problem-Solving Tasks
This task asks students to use similarity to solve a problem in a context that will be familiar to many, though most students are accustomed to using intuition rather than geometric reasoning to set up the shot.
Type: Problem-Solving Task
This task involves a reasonably direct application of similar triangles, coupled with a moderately challenging procedure of constructing a diagram from a verbal description.
Type: Problem-Solving Task
This problem solving task asks students to find the area of a triangle by using unit squares and line segments.
Type: Problem-Solving Task