Arcademics
Snow Sprint
Dash through the snow with fractions. Players race snowmobiles while multiplying fractions. By choosing the correct products, learners make their online game pieces move around the track. The faster the correct answer, the quicker the...
Arcademics
Otter Rush
Otters help learners increase fluency with exponents. Given four options, pupils determine which one would make a given equation involving exponents true. The faster individuals answer, the faster their otter races around the track in...
Arcademics
Speedway
Race to extreme fluency. Scholars play a car race online game where the faster they choose the answer to fraction addition and subtraction problems, the faster their cars go. Pupils play against the computer or other players online....
Arcademics
Grand Prix Multiplication
The race is on to multiply. Scholars use an online four-player racing game to practice their multiplication skills. Every time they correctly answer a multiple-choice question on multiplication facts within 100, their race cars move...
Arcademics
Hungry Puppies
It all comes down to the treats. Individuals compete to find decimals' addends to arrive at a given sum. Pupils click on two dog treats with values that add to the target number. Each round contains the same sum and lasts a minute, and...
Arcademics
Pizza Pandas
Grab a fraction of the pizza pie. Players match the written fraction to the amount of pizza shown on the platter. The game allows for up to four individuals at the same time. Scholars reach for a napkin with the fraction that matches the...
Arcademics
Ratio Blaster
Shoot the equivalence before it gets you. Individuals practice determining equivalent ratios in six levels in an online interactive. Scholars shoot down the invaders before they reach the planet by identifying an equivalent ratio to the...
Arcademics
Ratio Martian
Identify the correct ratios for food. Pupils play a six-level online game to practice identifying ratios. Learners see ratios in several forms mixed in with non-ratio quantities. Individuals click on each ratio to feed the hungry martian...
EngageNY
End-of-Module 3 Assessment Task
Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...
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Solving Problems by Function Composition
Stay composed while solving problems. Learners put their knowledge of compositions to solve problems. To connect with the concept, scholars compose equations to answer questions from real-world situations. Finally, pupils practice using...
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Horizontal and Vertical Asymptotes of Graphs of Rational Functions
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
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The Structure of Rational Expressions
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
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Roots of Unity
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
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Logarithmic and Exponential Problem Solving
Just how old is it? The 22nd portion to a 23-part Precalculus unit uses radiocarbon dating and other exponential modeled real-world problems. Learners use the inverse relationship between logarithms and exponentials to solve the problem...
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Restricting the Domain
But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...
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Inverse Functions
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...
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Function Composition
Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...
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Graphing Rational Functions
Put everything together in a picture. Scholars take what they learned in the previous three lessons in the 15th segment of a 23-part unit to graph rational functions. They find the end behavior, the horizontal and vertical asymptotes if...
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End Behavior of Rational Functions
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
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Rational Functions
Make a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their...
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Volume and Cavalieri’s Principle
Take a slice out of life. The ninth section in a series of 23 introduces classmates to Cavalieri's principle using cross sections of a cone and stacks of coins. Class members participate in a discussion using pyramids and how Cavalieri's...
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Curves from Geometry
Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth lesson in a unit of 23. Scholars analyze basic hyperbolas and how...
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Transforming Rational Functions
Move all rational functions—well, maybe. Learners investigate the graphs of the reciprocals of power functions to determine a pattern between the graph and the power. Pupils graph rational functions where transformations are clearly...
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Mid-Module 3 Assessment Task
Time to take a pulse check. The mid-module assessment allows pupils to check where their knowledge falls for the first portion of the module. The 10th resource in a series of 23 covers content from the binomial theorem to hyperbolas....