# Carolinas Aviation Museum

Founded in 1992, the Carolinas Aviation Museum is located on the grounds of Charlotte Douglas International Airport. By telling the story of the people who shaped our aviation heritage, the Carolinas Aviation Museum inspires future generations to write aviation’s next chapter. The museum is home

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#### STEM Session - Weights and Balances

#### Program description

Flying airplanes is a balancing act. A pilot is responsible to calculate the weight of the passengers, fuel, baggage and all the other things on an airplane. The students will experience the computations of loading an airplane and calculations necessary to properly implement the weights and balances for a safe flight using interactive models, mathematical equations and creative thinking.

*STEM*

#### Booking / scheduling contact

#### Program Detail

Year Round

10:00 AM – 2:00 PM Monday through Friday.

Maximum classroom capacity is 25.

Carolinas Aviation Museum OR this program is available to be brought to your school.

Add ONE session to your Self-Guided Tour for $10 per person

Add TWO sessions to your Self-Guided Tour for $12 per person

**Outreach Pricing:**

The first one hour class that a school books will cost $150 and additional classes will cost $125 with max class size of 25 students.

If a school would like an assembly the cost is $250 for the first assembly and then $125 for additional assemblies with a max of 3 assemblies a day.

If a group would like a festival/interactive display booth/table the cost for the first hour is $250 with a max of $500 and the max number of hours is 6

If the school is within a 25 mile radius we will not charge a mileage fee, however if the school is outside the radius they will have to pay .55 cents a mile and that is a round-trip charge (if school is 30 miles out the cost would be (60 miles*.55 = $33).

#### EDUCATION STANDARDS

**NC Standard Course of Study:**

**Kindergarten**

CCSS.ELA-LITERACY.SL.K.1.A

Follow agreed-upon rules for discussions (e.g., listening to others and taking turns speaking about the topics and texts under discussion).

CCSS.ELA-LITERACY.SL.K.1.B

Continue a conversation through multiple exchanges.

CCSS.ELA-LITERACY.SL.K.4

Describe familiar people, places, things, and events and, with prompting and support, provide additional detail.

**First Grade:**

CCSS.ELA-LITERACY.SL.1.1.A

Follow agreed-upon rules for discussions (e.g., listening to others with care, speaking one at a time about the topics and texts under discussion).

CCSS.ELA-LITERACY.SL.1.3

Ask and answer questions about what a speaker says in order to gather additional information or clarify something that is not understood.

CCSS.ELA-LITERACY.SL.1.4

Describe people, places, things, and events with relevant details, expressing ideas and feelings clearly.

**Second Grade:**

CCSS.ELA-LITERACY.SL.2.2

Recount or describe key ideas or details from a text read aloud or information presented orally or through other media.

CCSS.ELA-LITERACY.SL.2.4

Tell a story or recount an experience with appropriate facts and relevant, descriptive details, speaking audibly in coherent sentences.

CCSS.ELA-LITERACY.RI.2.3

Describe the connection between a series of historical events, scientific ideas or concepts, or steps in technical procedures in a text.

**Third Grade:**

CCSS.ELA-LITERACY.RI.3.3

Describe the relationship between a series of historical events, scientific ideas or concepts, or steps in technical procedures in a text, using language that pertains to time, sequence, and cause/effect.

CCSS.ELA-LITERACY.RI.3.4

Determine the meaning of general academic and domain-specific words and phrases in a text relevant to a grade 3 topic or subject area.

CCSS.ELA-LITERACY.SL.3.3

Ask and answer questions about information from a speaker, offering appropriate elaboration and detail.

**Fourth Grade:**

CCSS.ELA-LITERACY.SL.4.3

Identify the reasons and evidence a speaker provides to support particular points.

CCSS.ELA-LITERACY.SL.4.1.B

Follow agreed-upon rules for discussions and carry out assigned roles.

**Fifth Grade:**

CCSS.ELA-LITERACY.SL.5.1.B

Follow agreed-upon rules for discussions and carry out assigned roles.

CCSS.ELA-LITERACY.SL.5.1.C

Pose and respond to specific questions by making comments that contribute to the discussion and elaborate on the remarks of others.

CCSS.ELA-LITERACY.SL.5.1.D

Review the key ideas expressed and draw conclusions in light of information and knowledge gained from the discussions.

**6th-8th Grade:**

CCSS.ELA-LITERACY.RST.6-8.4

Determine the meaning of symbols, key terms, and other domain-specific words and phrases as they are used in a specific scientific or technical context relevant to grades 6-8 texts and topics.

CCSS.ELA-LITERACY.SL.6.1.C

Pose and respond to specific questions with elaboration and detail by making comments that contribute to the topic, text, or issue under discussion.

CCSS.ELA-LITERACY.SL.6.2

Interpret information presented in diverse media and formats (e.g., visually, quantitatively, orally) and explain how it contributes to a topic, text, or issue under study

**9th-10th Grade:**

CCSS.ELA-LITERACY.RST.9-10.1

Cite specific textual evidence to support analysis of science and technical texts, attending to the precise details of explanations or descriptions.

CCSS.ELA-LITERACY.RST.9-10.4

Determine the meaning of symbols, key terms, and other domain-specific words and phrases as they are used in a specific scientific or technical context relevant to grades 9-10 texts and topics.

CCSS.ELA-LITERACY.SL.9-10.3

Evaluate a speaker’s point of view, reasoning, and use of evidence and rhetoric, identifying any fallacious reasoning or exaggerated or distorted evidence.

**11th-12th Grade:**

CCSS.ELA-LITERACY.RST.11-12.2

Determine the central ideas or conclusions of a text; summarize complex concepts, processes, or information presented in a text by paraphrasing them in simpler but still accurate terms.

CCSS.ELA-LITERACY.RST.11-12.7

Integrate and evaluate multiple sources of information presented in diverse formats and media (e.g., quantitative data, video, multimedia) in order to address a question or solve a problem.

CCSS.ELA-LITERACY.RST.11-12.9

Synthesize information from a range of sources (e.g., texts, experiments, simulations) into a coherent understanding of a process, phenomenon, or concept, resolving conflicting information when possible.

**NC Essential Standards:**

__ Kindergarten__:

K.CC.2- Count forward beginning from a given number within the known sequence, instead of having to begin at 1.

K.CC.4- Understand the relationship between numbers and quantities. • When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object (one-to-one correspondence). • Recognize that the last number named tells the number of objects counted regardless of their arrangement (cardinality). • State the number of objects in a group, of up to 5 objects, without counting the objects (perceptual subitizing).

K.CC.7- Compare two numbers, within 10, presented as written numerals.

NC.K.OA.1- Represent addition and subtraction, within 10: • Use a variety of representations such as objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, or expressions. • Demonstrate understanding of addition and subtraction by making connections among representations.

NC.K.OA.2- Solve addition and subtraction word problems, within 10, using objects or drawings to represent the problem, when solving: • Add to/Take From-Result Unknown • Put Together/ Take Apart (Total Unknown and Two Addends Unknown

K.MD.1- Describe measurable attributes of objects; and describe several different measurable attributes of a single object.

K.MD.2- Directly compare two objects with a measurable attribute in common, to see which object has “more of”/“less of” the attribute, and describe the difference.

__ First Grade__:

1.E.1.1-Recognize differences in the features of the day and night sky and apparent movement of objects across the sky as observed from Earth.

1.E.1.2- Recognize patterns of observable changes in the Moon’s appearance from day to day.

1.OA.2- Represent and solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, by using objects, drawings, and equations with a symbol for the unknown number.

1.OA.6- Add and subtract, within 20, using strategies such as: • Counting on • Making ten • Decomposing a number leading to a ten • Using the relationship between addition and subtraction • Using a number line • Creating equivalent but simpler or known sums

1.OA.8- Determine the unknown whole number in an addition or subtraction equation involving three whole numbers

1.NBT.3- Compare two two-digit numbers based on the value of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.

1.NBT.5- Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.

1.MD.2- Measure lengths with non-standard units. • Express the length of an object as a whole number of non-standard length units. • Measure by laying multiple copies of a shorter object (the length unit) end to end (iterating) with no gaps or overlaps.

**Second Grade:**

2.OA.1- Represent and solve addition and subtraction word problems, within 100, with unknowns in all positions, by using representations and equations with a symbol for the unknown number to represent the problem, when solving: • One-Step problems: o Add to/Take from-Start Unknown o Compare-Bigger Unknown o Compare-Smaller Unknown • Two-Step problems involving single digits: o Add to/Take from- Change Unknown o Add to/Take From- Result Unknown

2.OA.2- Demonstrate fluency with addition and subtraction, within 20, using mental strategies.

NC.2.NBT.3- Read and write numbers, within 1,000, using base-ten numerals, number names, and expanded form.

NC.2.NBT.4- Compare two three-digit numbers based on the value of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons

2.MD.1- Measure the length of an object in standard units by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.

2.MD.3- Estimate lengths in using standard units of inches, feet, yards, centimeters, and meters.

2.MD.4,- Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit.

2.G.1- Recognize and draw triangles, quadrilaterals, pentagons, and hexagons, having specified attributes; recognize and describe attributes of rectangular prisms and cubes.

**Third Grade:**

3.OA.3- Represent, interpret, and solve one-step problems involving multiplication and division. • Solve multiplication word problems with factors up to and including 10. Represent the problem using arrays, pictures, and/or equations with a symbol for the unknown number to represent the problem. • Solve division word problems with a divisor and quotient up to and including 10. Represent the problem using arrays, pictures, repeated subtraction and/or equations with a symbol for the unknown number to represent the problem.

3.OA.6- Solve an unknown-factor problem, by using division strategies and/or changing it to a multiplication problem.

3.OA.7- Demonstrate fluency with multiplication and division with factors, quotients and divisors up to and including 10. • Know from memory all products with factors up to and including 10. • Illustrate and explain using the relationship between multiplication and division. • Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

3.OA.8- Solve two-step word problems using addition, subtraction, and multiplication, representing problems using equations with a symbol for the unknown number.

3.NBT.2- Add and subtract whole numbers up to and including 1,000. • Use estimation strategies to assess reasonableness of answers. • Model and explain how the relationship between addition and subtraction can be applied to solve addition and subtraction problems. • Use expanded form to decompose numbers and then find sums and differences.

NC.3.MD.3 Represent and interpret scaled picture and bar graphs: • Collect data by asking a question that yields data in up to four categories. • Make a representation of data and interpret data in a frequency table, scaled picture graph, and/or scaled bar graph with axes provided. • Solve one and two-step “how many more” and “how many less” problems using information from these graphs

**Fourth Grade:**

4.OA.1- Interpret a multiplication equation as a comparison. Multiply or divide to solve word problems involving multiplicative comparisons using models and equations with a symbol for the unknown number. Distinguish multiplicative comparison from additive comparison

4.OA.3- Solve two-step word problems involving the four operations with whole numbers. • Use estimation strategies to assess reasonableness of answers. • Interpret remainders in word problems. • Represent problems using equations with a letter standing for the unknown quantity.

4.OA.5- Generate and analyze a number or shape pattern that follows a given rule.

4.NBT.2- Read and write multi-digit whole numbers up to and including 100,000 using numerals, number names, and expanded form

4.NBT.4- Add and subtract multi-digit whole numbers up to and including 100,000 using the standard algorithm with place value understanding.

4.NBT.7- Compare two multi-digit numbers up to and including 100,000 based on the values of the digits in each place, using >, =, and < symbols to record the results of comparisons.

4.MD.1- Know relative sizes of measurement units. Solve problems involving metric measurement. • Measure to solve problems involving metric units: centimeter, meter, gram, kilogram, Liter, milliliter. • Add, subtract, multiply, and divide to solve one-step word problems involving whole-number measurements of length, mass, and capacity that are given in metric units.

4.MD.2- Use multiplicative reasoning to convert metric measurements from a larger unit to a smaller unit using place value understanding, two-column tables, and length models

4.MD.3- Solve problems with area and perimeter. • Find areas of rectilinear figures with known side lengths. • Solve problems involving a fixed area and varying perimeters and a fixed perimeter and varying areas. • Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

4.MD.4- Represent and interpret data using whole numbers. • Collect data by asking a question that yields numerical data. • Make a representation of data and interpret data in a frequency table, scaled bar graph, and/or line plot. • Determine whether a survey question will yield categorical or numerical data.

4.MD.6- Develop an understanding of angles and angle measurement. • Understand angles as geometric shapes that are formed wherever two rays share a common endpoint, and are measured in degrees. • Measure and sketch angles in whole-number degrees using a protractor. • Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems.

4.MD.8- Solve word problems involving addition and subtraction of time intervals that cross the hour.

4.G.1- Draw and identify points, lines, line segments, rays, angles, and perpendicular and parallel lines.

4.G.3- Recognize symmetry in a two-dimensional figure, and identify and draw lines of symmetry.

**Fifth Grade:**

5.NBT.7- Compute and solve real-world problems with multi-digit whole numbers and decimal numbers. • Add and subtract decimals to thousandths using models, drawings or strategies based on place value. • Multiply decimals with a product to thousandths using models, drawings, or strategies based on place value. • Divide a whole number by a decimal and divide a decimal by a whole number, using repeated subtraction or area models. Decimals should be limited to hundredths. • Use estimation strategies to assess reasonableness of answers

5.NF.7- Solve one-step word problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions using area and length models, and equations to represent the problem.

5.MD.1- Given a conversion chart, use multiplicative reasoning to solve one-step conversion problems within a given measurement system.

5.G.1- Graph points in the first quadrant of a coordinate plane, and identify and interpret the x and y coordinates to solve problems.

**Sixth Grade:**

6.RP.1- Understand the concept of a ratio and use ratio language to: • Describe a ratio as a multiplicative relationship between two quantities. • Model a ratio relationship using a variety of representations.

6.RP.3- Use ratio reasoning with equivalent whole-number ratios to solve real-world and mathematical problems by: • Creating and using a table to compare ratios. • Finding missing values in the tables. • Using a unit ratio. • Converting and manipulating measurements using given ratios. • Plotting the pairs of values on the coordinate plane.

6.RP.4- Use ratio reasoning to solve real-world and mathematical problems with percents by: • Understanding and finding a percent of a quantity as a ratio per 100. • Using equivalent ratios, such as benchmark percents (50%, 25%, 10%, 5%, 1%), to determine a part of any given quantity. • Finding the whole, given a part and the percent.

NC.6.NS.5- Understand and use rational numbers to: • Describe quantities having opposite directions or values. • Represent quantities in real-world contexts, explaining the meaning of 0 in each situation. • Understand the absolute value of a rational number as its distance from 0 on the number line to: o Interpret absolute value as magnitude for a positive or negative quantity in a real-world context. o Distinguish comparisons of absolute value from statements about order.

NC.6.NS.6- Understand rational numbers as points on the number line and as ordered pairs on a coordinate plane. a. On a number line: o Recognize opposite signs of numbers as indicating locations on opposite sides of 0 and that the opposite of the opposite of a number is the number itself. o Find and position rational numbers on a horizontal or vertical number line. b. On a coordinate plane: o Understand signs of numbers in ordered pairs as indicating locations in quadrants. o Recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes. o Find and position pairs of rational numbers on a coordinate plane.

NC.6.NS.7- Understand ordering of rational numbers. a. Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. b. Write, interpret, and explain statements of order for rational numbers in real-world contexts.

NC.6.NS.8- Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate

6.SP.4- Display numerical data in plots on a number line. • Use dot plots, histograms, and box plots to represent data. • Compare the attributes of different representations of the same data

**Seventh Grade:**

7.EE.3- Solve multi-step real-world and mathematical problems posed with rational numbers in algebraic expressions. • Apply properties of operations to calculate with positive and negative numbers in any form. • Convert between different forms of a number and equivalent forms of the expression as appropriate.

**Eighth Grade:**

8.EE.7- Solve real-world and mathematical problems by writing and solving equations and inequalities in one variable. • Recognize linear equations in one variable as having one solution, infinitely many solutions, or no solutions. • Solve linear equations and inequalities including multi-step equations and inequalities with the same variable on both sides.

8.EE.8- Analyze and solve a system of two linear equations in two variables in slope-intercept form. • Understand that solutions to a system of two linear equations correspond to the points of intersection of their graphs because the point of intersection satisfies both equations simultaneously. • Solve real-world and mathematical problems leading to systems of linear equations by graphing the equations. Solve simple cases by inspection.

**9th – 12th Grade:**

M1.A-SSE.1- Interpret expressions that represent a quantity in terms of its context. a. Identify and interpret parts of a linear, exponential, or quadratic expression, including terms, factors, coefficients, and exponents

M1.A-CED.1- Create equations and inequalities in one variable that represent linear, exponential, and quadratic relationships and use them to solve problems.

M1.A-CED.2- Create and graph equations in two variables to represent linear, exponential, and quadratic relationships between quantities.

M1.A-REI.6- Use tables, graphs, or algebraic methods (substitution and elimination) to find approximate or exact solutions to systems of linear equations and interpret solutions in terms of a context.

M1.G-GPE.4- Use coordinates to solve geometric problems involving polygons algebraically • Use coordinates to compute perimeters of polygons and areas of triangles and rectangles. • Use coordinates to verify algebraically that a given set of points produces a particular type of triangle or quadrilateral.

M1.S-ID.1- Use technology to represent data with plots on the real number line (histograms and box plots).

M2.F-IF.4- Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities, including: domain and range, rate of change, symmetries, and end behavior.

M3.A-REI.1- Justify a solution method for equations and explain each step of the solving process using mathematical reasoning.

#### Qualifications

#### References

Available upon request

#### Cancellation Policy

Programs can be rescheduled with 48 hours notice.