# Hinged-Mirror Kaleidoscope

This easy-to-create hinged mirror allows students to explore simple geometry and the science of light and reflections.

**Grades covered:**3 through 8

**Curriculum Topics:**Light, Reflections, Angles

### Standards

Idea Sheets are cross-referenced to subjects listed in the Common Core, Next Generation Science Standards, and California Content Standards.

Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 3||Mathematical Practices|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 4||Mathematical Practices|||Develop a model to describe that light reflecting from objects and entering the eye allows objects to be seen.||Next Generation Science Standards||Grade 4||Physical Science||Waves and their Applications in Technologies for Information Transfer|||4.G.1. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.||Common Core Mathematics||Grade 4||Geometry||Draw And Identify Lines And Angles, And Classify Shapes By Properties Of Their Lines And Angles|||4.G.3. Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.||Common Core Mathematics||Grade 4||Geometry||Draw And Identify Lines And Angles, And Classify Shapes By Properties Of Their Lines And Angles|||4.MD.5. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:||Common Core Mathematics||Grade 4||Measurement And Data||Geometric Measurement: Understand Concepts Of Angle And Measure Angles|||4.MD.6. Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.||Common Core Mathematics||Grade 4||Measurement And Data||Geometric Measurement: Understand Concepts Of Angle And Measure Angles|||4.MD.7. Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.||Common Core Mathematics||Grade 4||Measurement And Data||Geometric Measurement: Understand Concepts Of Angle And Measure Angles|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 5||Mathematical Practices|||Develop & use a model to describe that waves are reflected, absorbed, or transmitted through various materials. [Both light & mechanical waves. ] ||Next Generation Science Standards||Middle School||Physical Science||Waves and their Applications in Technologies for Information Transfer |||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 6||Mathematical Practices|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 7||Mathematical Practices|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 8||Mathematical Practices

2.4 Identify right angles in geometric figures or in appropriate objects and determine whether other angles are greater or less than a right angle.||CA Mathematics||Grade 3||03. Measurement and Geometry||2.0 Students describe and compare the attributes of plane and solid geometric figures and use their understanding to show relationships and solve problems.|||2.b. Light is reflected from mirrors and other surfaces.||CA Science||Grade 3||01. Physical Sciences||2. Light has a source and travels in a direction.|||2.1 Measure, identify, and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools (e.g., straightedge, ruler, compass, protractor, drawing software).||CA Mathematics||Grade 5||03. Measurement and Geometry||2.0 Students identify, describe, and classify properties of, and the relationships between, plane and solid geometric figures.|||6.f. Light interacts with matter by transmission (including refraction), absorption, or scattering (including reflection).||CA Science||Grade 7||06. Physical Science: Physical Principles in Living Systems||6. Physical principles underlie biological structures and functions.|||6.g. The angle of reflection of a light beam is equal to the angle of incidence.||CA Science||Grade 7||06. Physical Science: Physical Principles in Living Systems||6. Physical principles underlie biological structures and functions.

**Categories include:**

- Physical Science
- Grades 3-5
- Grades 6-8
- Science
- Math

**Tags:**Waves, Light, Measurement & Data

**Subjects covered:**Math