CK-12 Foundation
Equations of Circles: Finding the Equation of a Circle
It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...
Curated OER
General MacArthur's Favorite Number Game
In this secondary mathematics learning exercise, learners examine the algebra behind the solution of General MacArthur’s favorite mathematics trick. The one page learning exercise contains one problem with the solution. Â
Curated OER
Factoring: A General Strategy
In this algebra worksheet, students factor 10 polynomial expressions. Problems involve several approaches to factoring, including factoring out common elements by grouping, factoring the difference of two squares, and factoring the sum...
Curated OER
General Convergence Sheet: Convergent and Divergent Series
In this series worksheet, students determine if 16 series are divergent or convergent. Students find the summation of series on a given interval.
Curated OER
Looking Through the Algebraic Lens
Students work with rectangles to find generalizations for adding and subtracting odd and even numbers in part one of the lesson. In part two, students use geoboards to construct polygons, look for patterns, and find a general rule.
Curated OER
Graphing Stories Ice Breaker
Kick off the school year with some math fun! New classmates share information about themselves by using graphs and interpreting data. The goal is to use a general graph shape, such as linear or exponential, and create labels for the axes...
Curated OER
Taxes and Sales
Collaborative discussions around this retail store problem will be taxing. Calculating discount and tax and the order of the operations are used to motivate an opportunity for learners to make a convincing argument using algebraic...
Illustrative Mathematics
Exploring Sinusoidal Functions
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
Curated OER
Fibonacci II
Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.
Curated OER
Investigation--What's The Number?: Exponents
Eighth graders explore exponents and look for patterns that help to determine the ones place when the base is raised to any power. They use trial and error and seek general solutions. Also, identify patterns in a number sequence.
Curated OER
Exploring Quadratic Data : Transformation Graphing
High schoolers analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the...
Curated OER
Exploring Quadratic Data with Transformation Graphing
Using a data collection device to collect data regarding a bouncing ball, young scholars use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of...
Curated OER
Explaining the equation for a circle
By first starting with an explicit example of a radius and center point, this challenging lesson tries to help high schoolers gain an understanding of the Pythagorean theorem and the equation of a circle. Once they have accomplished the...
Illustrative Mathematics
Box of Clay
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of physical models...
Curated OER
Basketball Rebounds
Your young basketball players will build a table and develop a general formula for a decaying exponential scenario involving the rebound distance of a bouncing ball. Using a CBR and graphing calculator can make this even more hands-on...
Curated OER
A Saturating Exponential
Your learners analyze the familiar model of a cold beverage warming when it is taken out of the refrigerator. The general form of the equation and its graph are presented. Learners learn about the specific pieces of the function by...
Concord Consortium
Spinning an Old Record
Take a trip back in time to examine angular velocity. Using the revolutions per minute, learners calculate the speed of a point on a 33 record. They compare the speed of a point on the edge of the record to the speed of a point closer to...
Curated OER
Account-Recording Adjusting/Close Entries for Service Business
Learners discover how to journal adjustments and post them into general ledger accounts. They explore what a post closing trial balance is and why it is prepared at the end of a fiscal period. They complete an outline and play online...
Curated OER
Generating Number Sequences
Practicing number sequences, students solve 5 various problems that include determining various number sequences in each. First, they work out what number comes out of each of the given machines. Then, students write down the first five...
Curated OER
College Athletes
When more basketball players are taller than field hockey players at a school, is it safe to say that in general they are always taller? The activity takes data from two college teams and your learners will be able to answer questions...
EngageNY
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....
Mathematics Vision Project
Features of Functions
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 1)
Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...
Mathed Up!
Volume of Prism
The area is essential to volume. As part of the review for the General Certificate of Secondary Education math assessment, a helpful video covers how to find the volume of several common 3-D figures. Pupils use the general volume formula...