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Math Investigations and Mini-lessons

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Type Theme Learning Target
Total: 75
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Music: Frequency vs. Wavelength
Grades: 6, 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Music Students will learn about inverse relationship between frequency and wavelength while learning how to construct a pan flute.
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Glacier Rates
Grades: 7, 8, 9
Mini-lesson
Mini-lesson Ratios Students will learn how to find rates with different base times.
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Tic-Tac-Toe Products
Grades: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Numbers Students will develop strategies for creating products from numbers.
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Planet X
Grades: 9, 10, 11, 12
Mini-lesson
Mini-lesson Functions Students will create a function for astronomical data to determine how many years it takes for the mystery Planet X to orbit around the sun.
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Constructing Proportional Rectangular Prisms
Grades: 7, 8
Mini-lesson
Mini-lesson Coding Students will construct proportional rectangular prisms in OpenSCAD and have other student calculate the scaling factor.
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Transforming Giraffes
Grades: 6, 7, 8
Mini-lesson
Mini-lesson Geometry Students will learn about eight types of coordinate transformations.
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Semi-Truck Division
Grades: 4, 5
Mini-lesson
Mini-lesson Numbers Students will learn how to divide fractions by filling an adjustable semi-truck.
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Optics - Refraction and Lenses
Grades: 7, 8, 9, 10
Mini-lesson
Mini-lesson Physics Students will ray trace light through lenses and learn about refraction, focal length, divergent and convergent lenses.
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Animal Vision
Grades: 5, 6, 7, 8, 9, 10
Mini-lesson
Mini-lesson Geometry Students will use a protractor to estimate angles for binocular and monocular vision while hypothesizing why vision scope differs among species.
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Nautical Knots
Grades: 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Historical Students will learn how to convert between knots and miles per hour and understand how nautical miles are calculated.
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Polyominoes
Grades: 5, 6, 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Sequences Students are asked to think in squares by building and quantifying their results through developing custom combination equations.
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Hydraulic Advantage
Grades: 6, 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Geometry Students will calculate the mechanical advantage of a hydraulic lift system using area, volume, and the pressure equation.
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Rhythm Experiment
Grades: 5, 6, 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Music Students will use counting patterns to create a repeating 25-second percussion rhythm.
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Unions, Intersections, and Compliments
Grades: 5, 6, 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Sets Students will explore various sets and their relationships.
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Dragon Fruit Delivery
Grades: 5, 6, 7, 8
Mini-lesson
Mini-lesson Ratios Students will determine unit rates for dragon fruit options at a market and convert at least one unit.
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Traversing Verse with Math
Grades: 4, 5, 6, 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Numbers Students will generate ideas for a math poem, learn the common meter forms, and write a poem using math terms.
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Reservoir Levels in Western Washington
Grades: 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Modeling Students will model reservoir levels, convert values, and measure using GIS tools.
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Math of Climate Change
Grades: 6, 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Statistics Students will analyze various datasets that relate to climate science.
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How Old is Our Baikal Friend?
Grades: 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Functions Students will learn about using exponential functions and their inverses.
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Energy Return on Investment
Grades: 6, 7, 8, 9, 10
Mini-lesson
Mini-lesson Statistics Students will analyze various data sets, work with charts, graphs and ratios to learn about energy sources and energy return on investment.
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Atoms and Ions (Adding and Subtracting Integers)
Grades: 4, 5, 6, 7, 8, 9, 10
Mini-lesson
Mini-lesson Chemistry Students will practice integer addition and subtraction using atoms and ions.
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Bernoulli's Principle
Grades: 6, 7, 8, 9, 10
Mini-lesson
Mini-lesson Ratios Students will explore density (dots per inch) and apply it to mass/volume.
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Road Building on Mathlantis
Grades: 6, 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Combinations and Permutations Students will develop a sense of discrete mathematics and combinations.
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Christmas Tree Extrusion
Grades: 5, 6, 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Engineering Students will use coordinate pairs to create an extrusion Christmas tree in OpenSCAD.
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Fraction Operations on a Number Line
Grades: 4, 5
Mini-lesson
Mini-lesson Numbers Students will learn to add, subtract, and plot fractions on a number line.
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Color Preference Analysis
Grades: 6, 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Statistics Students will produce color preference data and create a method to analyze multidimensional data.
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Faults and Plate Boundaries
Grades: 6, 7, 8, 9, 10, 11, 12
Mini-lesson
Mini-lesson Modeling Students will learn the difference between faults and plate boundaries by building them using various tools.
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Counting with the Maya
Grades: 5, 6, 7, 8, 9
Mini-lesson
Mini-lesson Numbers Students will explore working with base 20, place values, and exponents.
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Expression Builder
Grades: 5, 6, 7, 8, 9
Mini-lesson
Mini-lesson Expressions Students will look for patterns and build expressions that describe the quantity of dots shown.
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Jumpline
Grades: 8, 9, 10
Mini-lesson
Mini-lesson Functions Students will use functions and limit the domain to create functions for a Desmos Marbleslide.
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Summation Square
Grades: 5, 6, 7, 8, 9, 10
Mini-lesson
Mini-lesson Numbers Students will construct rational fractions using a visual model.
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Tessellations
Grades: 5, 6, 7, 8, 9, 10
Mini-lesson
Mini-lesson Geometry Students will tesselate regular polygons into interesting patterns.
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Solving A Geometry Word Problem by Using Quadratic Equations
Grades: 9, 10
Mini-lesson
Mini-lesson Word Problems Students will understand how to solve geometry word problems using quadratic equations.
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Derivative of a Function
Grades: 9, 10
Mini-lesson
Mini-lesson Calculus Students will learn how to solve for a derivative of a function using the derivative definition.
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QWERTY Coins
Grades: 5, 6
Mini-lesson
Mini-lesson Ratios Students will develop number sense while creating conversion ratios for various mystery coin currency.
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Histogram of Recent Earthquakes
Grades: 5, 6, 7, 8, 9, 10
Mini-lesson
Mini-lesson Statistics Students will summarize and describe earthquake magnitude distributions in a histogram.
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Bowling for Stars
Grades: 9, 10
Mini-lesson
Mini-lesson Functions Students will use their knowledge of various functions to create pathways on a coordinate plane.
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Visualizing Cross-sections in Primitive 3D Shapes
Grades: 5, 6, 7, 8, 9, 10
Mini-lesson
Mini-lesson Geometry Students will describe the two-dimensional figures that result from slicing three-dimensional figures.
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Roller Coaster Boxplots
Grades: 5, 6, 7, 8
Mini-lesson
Mini-lesson Statistics Students will construct boxplots and dotplots using roller coaster data.
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Riemann Roller Coaster
Grades: 7, 8, 9, 10
Mini-lesson
Mini-lesson Calculus Students will use Riemann sums to estimate board length of a roller coaster.
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Tanagram - PowerPoint
Grades: 5, 6, 7, 8, 9, 10
Mini-lesson
Mini-lesson Architecture Students will persevere solving graphical tanagram puzzles.
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Polygraph: Inequalities on a Number Line
Grades: 5, 6
Mini-lesson
Mini-lesson Inequalities Students will learn how to recognize inequalities on a number line and compare to domain inequalities. Use the following academic language: greater than, less than, equal to, integer, negative, positive. See how few questions can be asked per session.
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Rad Angles
Grades: 9, 10
Mini-lesson
Mini-lesson Trigonometry Students will compare radians, degrees, and angles. Academic language used: greater or less than, radians, degrees, angles.
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Comparing Values in the Metric System
Grades: 5, 6
Mini-lesson
Mini-lesson Measurement Students will compare length, mass, and liquid volume.
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Functions in Nature
Grades: 9, 10
Mini-lesson
Mini-lesson Functions Students will find function relationships in natural systems.
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Woodcutter's Paradise
Grades: 7, 8
Mini-lesson
Mini-lesson Geometry Students will use volume of cylinders to help support their firewood selling business.
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Boxing the Cubes
Grades: 7, 8
Mini-lesson
Mini-lesson General Students will develop volume equations and solve for unknown variables, while helping their boss get the job done.
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Samara's Garden
Grades: 7, 8, 9, 10
Mini-lesson
Mini-lesson Geometry Students will use circumference and knowledge of circles to calculate perimeter and area of complex shapes.
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Yeti Ice Cream
Grades: 5, 6, 7, 8, 9, 10
Mini-lesson
Mini-lesson Discrete Students will determine the best location for their ice cream stores. Be prepared to use the Pythagorean Theorem.
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Fuel Efficiency Data
Grades: 9, 10
Mini-lesson
Mini-lesson Modeling Students will learn how to fit a logistics model to automobile fuel efficiency data.
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Guess My Number
Grades: 5, 6
Mini-lesson
Mini-lesson Expressions Students will use mathematical language to talk about numbers.
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Completing the Square
Grades: 9, 10
Mini-lesson
Mini-lesson Functions Students will learn how to solve quadratic equations by completing the square graphically and algebraically.
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Estimating Pi with Triangles
Grades: 9, 10
Mini-lesson
Mini-lesson Trigonometry Students will learn how to estimate the value for the number pi using trigonometry.
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Deciphering Math Vocabulary
Grades: 5, 6
Mini-lesson
Mini-lesson Word Problems Students will compare math vocabulary and learn to convert word problems to expressions and equations.
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Polygraph: Proportional and Non-Proportional Relationships
Grades: 7, 8
Mini-lesson
Mini-lesson Ratios Students will engage in vocabulary-rich conversations about proportional and non-proportional relationships.
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Polygraph: Expression and Equations
Grades: 5, 6
Mini-lesson
Mini-lesson Expressions Students will engage in vocabulary-rich conversations about expressions and equations.
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Using Functions in OpenSCAD
Grades: 9, 10
Mini-lesson
Mini-lesson Engineering Students will incorporate functions into OpenSCAD engineering code.
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Solving Quadratic Equations Using the Area Model
Grades: 9, 10
Mini-lesson
Mini-lesson Functions Students will solve quadratic equations using the area model and plot solutions and equation on a graphing calculator.
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Constructing and Calculating Volumes
Grades: 5, 6
Mini-lesson
Mini-lesson Coding Students will construct complex rectangular prisms in OpenSCAD, then calculate their volumes.
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Elephant Mass Modeling
Grades: 9, 10
Mini-lesson
Mini-lesson Statistics Students will learn about scatterplots, modeling nature through functions, and least-squares regression.
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Best Kiwi Prices Around!
Grades: 7, 8
Mini-lesson
Mini-lesson Ratios Students will compare prices by converting to unit rates.
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Trigonometry Overview
Grades: 9, 10
Mini-lesson
Mini-lesson Trigonometry Students will understand how right triangle ratios and the Pythagorean Theorem forms the basis for trigonometry and the unit circle.
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Surface Area of Prisms
Grades: 5, 6
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Mini-lesson
Mini-lesson Geometry Students will practice finding surface area of various prisms.
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Fraction Fluency
Grades: 5, 6
Mini-lesson
Mini-lesson Fractions Students will work together on a whiteboard to demonstrate fraction equivalency.
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Flexing with Linear Equations
Grades: 9, 10
Mini-lesson
Mini-lesson Linear Equations Students will gain greater flexibility for finding solutions for two linear equations.
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Algebra Transformers
Grades: 7, 8
Mini-lesson
Mini-lesson Equality Students will learn to fluidly transform and manipulate algebraic equations.
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Area of a Triangle
Grades: 4, 5, 6
Mini-lesson
Mini-lesson Geometry Students will find area of right triangles and other triangles.
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Area and Perimeter of Polygons (Pythagorean theorem)
Grades: 7, 8
Mini-lesson
Mini-lesson Geometry Students will find area and perimeter of various polygons using the Pythagorean theorem.
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Area and Perimeter of Polygons
Grades: 5, 6
Mini-lesson
Mini-lesson Geometry Students will find area and perimeter of various polygons.
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Calculating Area and Perimeter of Circle from a Triangle
Grades: 7, 8
Mini-lesson
Mini-lesson Geometry Students will find area and perimeter of a circle using the Pythagorean Theorem.
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Animating Using Variables
Grades: 5, 6, 7, 8
Mini-lesson
Mini-lesson Graphing Students will learn how to add variables to ordered pairs to animate objects on the coordinate plane.
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Exponents: Integer and Rational
Grades: 9, 10
Mini-lesson
Mini-lesson General Students will review the properties of radical and integer exponents.
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Expression Review for 7th and 8th Grades
Grades: 7, 8
Mini-lesson
Mini-lesson General Students will understand how to simplify algebraic expressions.
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Expression Review for 5th and 6th Grades
Grades: 5, 6
Mini-lesson
Mini-lesson General Students will understand how to simplify basic expressions.
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Create Simple Topological Puzzles (Mazes)
Grades: 5, 6
Mini-lesson
Mini-lesson Puzzles and Games Students will learn how to collaborate with mathematics .
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