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Worksheet
Shmoop

Building Functions Worksheet 2

For Students 9th - 12th Standards
If your test scores go up five points every problem you complete on this worksheet, is that an arithmetic or geometric sequence? Learners practice through four straightforward sequence questions and then finish with six word problems and...
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Worksheet
Shmoop

Functions Worksheet 5

For Students 9th - 12th Standards
To the point and deeper thinking are both types of questions included in the learning exercise. Begin the practice of solving quadratics and then finish with five questions asking quadratic and exponential application problems. 
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Handout
Curated OER

Math Review: Algebraic Operations

For Students 9th - 12th Standards
Need to prep your science learners in math? Here is a resource that serves as a review guide to support your scientists with the math they need to be successful in chemistry. Comes with basic algebraic problems and a review of some...
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Assessment
Illustrative Mathematics

Building a Quadratic Function Form

For Students 9th - 12th Standards
A simple tweak in the equation can mean big things for a quadratic graph. High school mathematicians look at the parent graph of a quadratic and incorporate three different changes to the function. The problems require explanations of...
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Assessment
1
1
Illustrative Mathematics

Exponentials and Logarithms II

For Students 9th - 12th Standards
A simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains...
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Worksheet
Kuta Software

Imaginary Numbers

For Students 9th - 12th Standards
Here is a worksheet that takes all aspects of quadratic functions and incorporates imaginary numbers into the problems. The problems range from simplifying to graphing and solving by using a variety of methods with imaginary and complex...
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Assessment
1
1
Illustrative Mathematics

Springboard Dive

For Students 9th - 12th Standards
Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...
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Assessment
1
1
Illustrative Mathematics

Which Function?

For Students 9th - 12th Standards
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations. 
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Assessment
Illustrative Mathematics

Identifying Exponential Functions

For Students 9th - 12th Standards
Class members have the opportunity to quickly change the variables of an exponential graphs through the use of sliders on Desmos. Four graphs are given and young mathematicians, through the use of the graphing app, can discover which...
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Assessment
1
1
Illustrative Mathematics

Graphing Rational Functions

For Students 9th - 12th Standards
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
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Assessment
1
1
Illustrative Mathematics

Running Time

For Students 9th - 12th Standards
Ever wonder why that computer image takes so long to load? Well, math is involved and provides the algorithms needed to compute the measure in nanoseconds. Young mathematicians plug the image measures into the formulas and compare the...
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Assessment
Illustrative Mathematics

Identifying Graphs of Functions

For Students 9th - 12th Standards
Take a matching problem and take challenging exponential graphs and combine to make one thought-provoking question. Learners look at four higher level exponential functions to match to the four graphs placed together. The equations and...
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Assessment
1
1
Illustrative Mathematics

Graphs of Quadratic Functions

For Students 9th - 12th Standards
Instead of the typical quadratic questioning, explore the function and look at the three different ways a parabola can be written. The main task is when given several clues, young mathematicians must write an equation that matches the...
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Assessment
Illustrative Mathematics

Graphs of Power Functions

For Students 9th - 12th Standards
There are parent functions, and then there are parent functions with a really interesting way to explore them. High schoolers are asked to graph different combinations of parent functions together and determine the point of intersection....
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Assessment
Illustrative Mathematics

Trigonometric Ratios and the Pythagorean Theorem

For Students 9th - 12th Standards
Take an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity...
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Assessment
1
1
Illustrative Mathematics

Calculations with Sine and Cosine

For Students 9th - 12th Standards
Practice makes perfect and perfecting those trigonometric functions are vital in trigonometry. The task requires evaluating cosine and sine values at common degree measures before looking at the results. Is there a pattern when the...
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Assessment
1
1
Illustrative Mathematics

But Mango Is My Favorite...

For Students 10th - 12th Standards
Opening up a package of fruit snacks is like a box of chocolates, you never know what you're going to get. When all the mango flavored ones are missing, learners calculate the probability that one bag versus the whole box is missing the...
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Assessment
Illustrative Mathematics

Bob's Bagel Shop

For Students 10th - 12th Standards
When Bob starts planning out the average money made per customer, he needs some help. Young mathematicians look at the probability of how many bagels are purchased from one person, and then creates an equation based on the amount spent....
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Assessment
Illustrative Mathematics

Sounds Really Good! (Sort Of...)

For Students 10th - 12th Standards
Winning a lottery game with 60% odds sounds like a no brainer. This is when the math kicks in to show players that in the long run, they lose money the more often they play. Here is one simple question that opens the doors to a nice...
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Assessment
1
1
Illustrative Mathematics

Solving Two Equations in Two Unknowns

For Students 8th - 10th Standards
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning. 
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Assessment
Illustrative Mathematics

Finding Trig Values

For Students 9th - 12th Standards
Let's keep trigonometry simple. When given a cosine ratio, learners must use the clues about the quadrant to determine the sine and tangent ratios. The answer key has a complete worked-out solution to help guide pupils through the problem. 
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Assessment
Mathed Up!

Mean, Median, Mode, and Range

For Students 6th - 8th Standards
Learners read a variety of word problems and find the mode, median, range, and mode from a given set of data. If calculators are not desirable, provide the class with notebook paper to work out the equations. 
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Assessment
Mathed Up!

Metric and Imperial Measures

For Students 6th - 8th Standards
After watching a brief video on making metric conversions to standard units, pupils complete tables to describe certain items with the appropriate unit of measurement. Then, they convert liters to millimeters, millimeters to centimeters,...
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Assessment
1
1
Mathed Up!

Simple Perimeter, Area, and Volume

For Students 6th - 8th Standards
Young mathematicians find the area and perimeter of shaded shapes on a grid of unit squares. The sheets challenge class members to find the volume of various solid prisms. Each questions also includes the total value of suggest points...