# DILATION (Geometry Curriculum in 5 min tasks/ warm-ups - Unit 22)

MINDmap MATH

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Grade Levels

8

^{th}- 11^{th}, Adult Education, HomeschoolSubjects

Resource Type

Formats Included

- PDF

Pages

48 pages

MINDmap MATH

86 Followers

### Description

**Dilation and Properties of Dilation ( -Unit 22)**

This is a collection of tasks/ assessments on properties of Dilation (positive and negative coefficients; w/ center at Origin and at a random point, therefore it allows for connections with the units on Similarity, Constructions, 3d Figures and Volumes. Notice: Dilation of Lines is NOT included in this unit, but it IS available by the link to Unit 23 below.

Track students’ progress consistently, efficiently and frequently with Daily Geometry Checkpoints / HS Geometry curriculum.

Solutions are included.

These tasksares composed of performance indicators embedded in HS Geometry state assessments and is a good source of pre-tests, test-prep, quizzes, exit slips, bell-ringers.

It can be used as a workbook, homework practice, flipped classroom supplement.

**It contains:**

-36 assessment tasks (A and B versions) + Keys w/solutions.

-List of addressed Standards

-48 pages

**Topics Addressed:**

22.1_Dilation ½. Explain why the two figures are similar.

22.2_Dilation -½. Are the two figures congruent? Explain.

22.3_Dilation -2. Are the two figures congruent? Explain.

22.4_Dilation 2. Use properties of dilation to explain why they are similar.

22.5_Dilation 2 w/center inside the triangle.

22.6_Identify the type of a transformation + Justify your conclusion: D -1/2 , D -2 (prime notation is used; auxiliary construction lines are visible).

*22.7_Identify the type of a transformation + Justify your conclusion: D -2, D -1/2(the image and original have different names; requires some construction work).

22.8_Construct D-2 (no grid).

22.9_Construct D 1/2 (no grid).

22.10 Compare and Contrast Challenge: A: Explain what D2 and D-2 have in common and how they are different.

B: Explain what D1/2 and D-1/2 have in common and how they are different.

22.11_Relationship of Corresponding acute angles in a pair of ∼ right Δs, generated by D2 centered at the vertex shared by Reflexive Postulate.

22.12_Applications/Contextual Challenge: relationship of lengths in ∼Δ, formed by r and height of a cross-section in a right cone (integer values, easy to recognize scaled-results; same units).

*22.13_Applications/Contextual Challenge: relationship of lengths in ∼Δ, formed by d and height of a cross-section in a right cone (integer values, easy to recognize scaled-results; same units).

*22.14_Applications/Contextual Challenge: relationship of lengths in ∼Δ, formed by r and height of a cross-section in a right cone (decimal values, NOT easy to recognize scaled-results-proportion needed; same units; rounded ).

*22.15_Contextual Challenge: Construct a triangle ∼ to a given one (must know the rule of perimeters for ∼ figures; D1/2; no prime notation.

*22.16_Applications/Contextual Challenge: relationship of cross-section areas in ∼Δ, formed by r and height of a cross-section in a right cone (integer values, easy to recognize scaled-results; same units).

*22.17_Applications/Contextual Challenge: relationship of cross-section volumes in ∼Δ, formed by r and height of a cross-section in a right cone (integer values, easy to recognize scaled-results; same units).

22.18_Prove that the original and its image after D-2 (D2) are similar. Find and state the center of dilation.

(*)-question may require some additional effort.

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**Geometry CURRICULUM in 5-min TASKS**here: -----

- HS Geometry Curriculum in 5 min Tasks and Assessments (w/ Keys, Solutions)

- Geometry PreREQUISITES (Geometry Curriculum in 5 min tasks - Unit 1):

- Geometry FOUNDATIONS (Geometry Curriculum in 5 min tasks - Unit 2)

- SLOPE (Geometry Curriculum in 5 min tasks - Unit 3)

- CONSTRUCTIONS (Geometry Curriculum in 5 min tasks - Unit 4)

- DISTANCE (Geometry Curriculum in 5 min tasks - Unit 5)

- PERIMETER of Polygons (Geometry Curriculum in 5 min tasks - Unit 6)

- AREA of Polygons (Geometry Curriculum in 5 min tasks - Unit 7)

- MIDPOINT (Geometry Curriculum in 5 min tasks - Unit 8)

- SEGMENT PARTITION (Geometry Curriculum in 5 min tasks - Unit 9)

- TRIANGLE PROPERTIES: HS Geometry Curriculum Daily Assessments Unit 10)

- SPECIAL TRIANGLES (Geometry Curriculum in 5 min tasks - Unit 11)

- RIGHT TRIANGLES (Geometry Curriculum in 5 min tasks - Unit 12)

- SIMILARITY: Properties and Connections (Geometry Curriculum in 5 min tasks - Unit 13)

- SIMILARITY: Split-side Triangles (Geometry Curriculum in 5 min tasks - Unit 13)

- SIMILARITY: RIGHT TRIANGLES (Geometry Curriculum in 5 min tasks - Unit 13)

- TRIANGLE SIMILARITY (Geometry Curriculum in 5 min tasks - Unit 13)

- TRIANGLE CONGRUENCE CRITERIA (Geometry Curriculum in 5 min tasks - Unit 14)

- Geometry PROOFS:Similarity (Geometry Curriculum in 5 min tasks - Unit 15)

- GEOMETRY PROOFS (Geometry Curriculum in 5 min tasks - Unit 15)

- Geometry PROOFS: Congruence (Geometry Curriculum in 5 min tasks - Unit 15)

- PARALLELOGRAMS: Properties (Geometry Curriculum in 5 min tasks - Unit 16)

- TRAPEZOIDS: Properties (Geometry Curriculum in 5 min tasks - Unit 17)

- COORDINATE PROOFS (Geometry Curriculum in 5 min tasks - Unit 18)

- LINE REFLECTION (Geometry Curriculum in 5 min tasks - Unit 19)

- POINT REFLECTION (Geometry Curriculum in 5 min tasks - Unit 20)

- *FREE* TRANSLATION transformations (Geometry Curriculum in 5 min tasks - Unit 21)

- DILATION (Geometry Curriculum in 5 min tasks - Unit 22)

- DILATION of a line (Geometry Curriculum in 5 min tasks - Unit 23)

- IDENTIFYING TRANSFORMATIONS (Geometry Curriculum in 5 min tasks - Unit 24)

- FORMULA of CIRCLE (Geometry Curriculum in 5 min tasks - Unit 25)

- CIRCLES: Central and Inscribed Angles , Arcs (Geometry Curriculum - Unit 26)

- >CIRCLES: Arcs and Angles Formed by Tangents, Chords, Secants ( - Unit 27)

- CIRCLES: Segments and Arcs formed by Tangents, Chords, Secants ( - Unit 28)

- CIRCLES: Arc Length, Area of Sector (Geometry Curriculum - Unit 29)

- Volume of Solids_Cross-sections of 3D-figures (Geometry Curriculum -Unit 30)

- Volume Applications and Real Life Word Problems (Geometry Curriculum -Unit 31)

-Density and Volume Applications / Real Life Word Problems ( -Unit 32)

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**ERROR ANALYSIS TASKS**here: -----

- Error Analysis activity: Linear Inequality "Hidden Rule Identity"

- Error Analysis activity: Linear Equation: PRACTICE isolating the y

- Error Analysis activity: Simplifying Square Root Expressions Products vs Sums

- Error Analysis activity: Simplifying Radical Expressions STRATEGIES

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**SUBSTITUTE TEACHERS GEOMETRY**here:---------------------------------

- Geometry Bundle Word Search Substitute Teacher activity

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**DIAGRAM LABELING & DECODING PRACTICE**here: -----------

- Geometry Labeling Practice: Vocabulary To Diagrams_OR_Diagr. to Symb. to Vocab.

- Geometry Labeling Practice: Symbols To Diagrams_OR_Diagr. to Symb. to Vocab.

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**HS Math UNIT PLANS**here:---------------------------------

- HS Math Unit Plan: Radical Expressions for Algebra, Geometry, Math Review Class

- HS Geometry Unit Plan: Basic terms and Relationships of Geometry

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**My Blog**-----

- https://mindmapmath.blogspot.com

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Total Pages

48 pages

Answer Key

Included

Teaching Duration

N/A

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