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Mid-Module Assessment Task: Pre-Calculus Module 5
Determine if any reteaching with a mid-module assessment task. The assessment covers the general multiplication rule, permutations and combinations, and probability distributions for discrete random variables.
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Getting the Job Done—Speed, Work, and Measurement Units II
How fast is your class? Learners determine the amount of time it takes individuals to walk a given distance and calculate their speeds. Pupils solve distance, rate, and time problems using the formula and pay attention to the rate units.
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Geometry Module 5: End-of-Module Assessment
The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.
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Writing and Solving Linear Equations
Incorporate geometry into the solving linear equations lesson. Pupils use their knowledge of geometry to write linear equations which reinforces geometry measurement concepts while at the same time providing a familiar context for...
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The Structure of Ratio Tables—Additive and Multiplicative
Build tables by understanding their structure. Scholars take a closer look at the structure of ratio tables in the 10th segment in a 29-part series. Individuals realize that the tables can be built using an additive or multiplicative...
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Families of Parallel Lines and the Circumference of the Earth
How do you fit a tape measure around the Earth? No need if you know a little geometry! Pupils begin by extending their understanding of the Side Splitter Theorem to a transversal cut by parallel lines. Once they identify the proportional...
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Rectangles Inscribed in Circles
Putting a rectangular object into a circular one—didn't the astronauts on Apollo 13 have to do something like this? Learners first construct the center of a circle using perpendiculars. They then discover how to inscribe a rectangle in a...
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The Inscribed Angle Alternate – A Tangent Angle
You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their newfound...
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Mid-Module Assessment Task - Algebra 1 (Module 3)
Having trouble finding performance task questions? Here is an assessment that uses all high-level thinking questions. It includes questions to assess sequences, linear functions, exponential functions, and increasing/decreasing intervals.
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Dilations on the Coordinate Plane
Dilations from the origin have a multiplicative effect on the coordinates of a point. Pupils use the method of finding the image of a point on a ray after a dilation to find a short cut. Classmates determine the short cut of being able...
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From Rates to Ratios
Look at rates from a general perspective. The 17th part of a 29-part series provides problems that help pupils develop more general ratios from given rates. Scholars determine unit rates and ratios that are associated with given rates....
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Writing Division Expressions II
Division is division is division is division ... four different ways to write division. Scholars continue to learn about division expressions. They translate between several forms, including verbal phrases, expressions using the division...
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Solve for Unknown Angles—Transversals
Lead your class on an exciting journey through the world of math as they review geometry facts and solve for unknown angles. They learn how to use auxiliary lines and congruent angles to correctly complete each practice problem...
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Rotations, Reflections, and Symmetry
Lead your high school class on a journey through the world of symmetry and reflections as you discuss geometric principles. Pupils differentiate between reflections and rotations, explore rotational symmetry, and investigate how to...
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The Side-Angle-Side (SAS) and Side-Side-Side (SSS) Criteria for Two Triangles to Be Similar
Playing with mathematics can invoke curiosity and excitement. As pupils construct triangles with given criteria, they determine the necessary requirements to support similarity. After determining the criteria, they practice verifying...
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Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the instructional activity is the discovery of Euler's number.
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An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
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Interpreting Quadratic Functions from Graphs and Tables
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
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More Examples of Functions
Discrete or not discrete? Individuals learn about the difference between discrete and non-discrete functions in the fourth installment of a 12-part module. They classify some examples of functions as being either discrete or non-discrete.
Space Awareness
Britannia Rule the Waves
Could you determine longitude based on measuring time? Early explorers used a longitude clock to do just that. Scholars learn about early exploration and the importance of the invention of the clock. Then pupils build their own longitude...
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Substituting to Evaluate Addition and Subtraction Expressions
Substitute this resource for what you used to use. Learners identify patterns in data tables and write addition and subtraction expressions to represent relationships. Substitution allows them to solve problems in context in the 20th...
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Problems in Mathematical Terms
Whether scholars understand independent and dependent variables depends on you. The 32nd installment of a 36-part series has learners analyze relationships in real-world problems through tables. They determine independent and dependent...
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Secant Lines; Secant Lines That Meet Inside a Circle
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
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Exploiting the Connection to Trigonometry 1
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex number. Groups...