Inside Mathematics
Vencent's Graphs
I like algebra, but graphing is where I draw the line! Worksheet includes three multiple-part questions on interpreting and drawing line graphs. It focuses on the abstract where neither axis has numbers written in, though both are...
Curated OER
Dice Addition
Using the provided tracing number worksheet, a pair of kindergartners will practice their adding skills. Player A will roll two die, add the sum, and then trace the sum on the worksheet. Player B will take a turn and do the same. The...
Illustrative Mathematics
The Circle and The Line
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
Illustrative Mathematics
Which Function?
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
Illustrative Mathematics
Springboard Dive
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
Curated OER
Accurately Weighing Pennies I
Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.
EngageNY
Comparing Distributions
Data distributions can be compared in terms of center, variability, and shape. Two exploratory challenges present data in two different displays to compare. The displays of histograms and box plots require different comparisons based...
Curated OER
Domains
Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...
Illustrative Mathematics
Writing Constraints
Use this resource to present your number crunchers with how to write a constraint equation and to determine viable solutions. The price of an object limits the amount that can be purchased. The speed at which you walk limits the number...
Curated OER
Mixing Candies
Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...
Curated OER
Triangle Series
Your algebra learners emphasize the"geometric" in geometric series as they use a common ratio between algebraic terms and find that it corresponds to a repeated similarity transformation.
Illustrative Mathematics
Morning Walk
Sometimes young algebra learners don't understand why they need to create an equation when they can just figure out the answer with it. This activity tries to encourage creating simple equations by balancing the use of more complicated...
Illustrative Mathematics
Kitchen Floor Tiles
An interesting way to look at the kitchen floor is to count the number of tiles in the border. Fred starts with four white floor tiles and writes an expression for the number of tiles needed for the colored border. Algebra learners are...
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), learners generate the graphs of f(x + c), f(x) + c, and cf(x) for specific values of c. The...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Curated OER
How Much Folate?
This task includes scaffolding to support the introduction of the writing and graphing of linear inequalities. Then your geometry learners discover that writing down all possible combinations is not feasible so they are led to use...
Curated OER
US Airports, Assessment Variation
Determining relationships is all part of algebra and functions. Your mathematicians will decide the type of relationship between airports and population and translate what the slope and y-intercept represent. The problem is multiple...
Mathematics Assessment Project
Middle School Mathematics Test 1
A 13-page test contains two 40-minute sections, which provide word problems and applied analysis to cover material from pre-algebra through geometry.
Illustrative Mathematics
Equations and Formulas
Your class is asked to use inverse operations to solve eleven equations for unknown variables or to rearrange formulas to highlight a quantity of interest. By using the same reasoning as solving one- and two-step equations, algebra...
Illustrative Mathematics
Telling a Story With Graphs
Turn your algebra learners into meteorologists. High schoolers are given three graphs that contain information about the weather in Santa Rosa, California during the month of February, 2012. Graph one shows temperatures, graph two...
Curated OER
Cantor Set
Discover an interesting mathematical object that your algebra learners will enjoy investigating. Their adventure will lead them to the generation of a finite geometric series.
Curated OER
Two Points Determine an Exponential Function II
Your algebra learners will build an exponential equation given a graph with two specific points labeled.
Curated OER
Sum of Even and Odd
Your algebra learners will make use of structure and manipulate expressions involving function notation using the definition of odd and even functions. They then advance even further to analyze the structure in a system of two equations.
Curated OER
Exponential Functions
Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.
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