When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...

Is the gestation length of an animal a predictor of the average life expectancy of that animal? Learners analyze similar data for more than 50 different animals. They choose a data display and draw conclusions from their graphs.

Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions...

Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...

What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data. 

Plant the data firmly on the graph. Given information about the growth rate of plants, pupils determine the heights at specific times and graph the data. Using the information, scholars determine whether a statement is true and support...

Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.

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...

For this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...

Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...

It is positive that how one performs on the first test relates to their performance on the second test. The three-question assessment has class members read and analyze a scatter plot of test scores. They must determine whether...

While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision. 

Investigate the growth rates of alien animals. Pupils study fictional animals from another planet to determine how much they grow per year. The investigators plot the growth of their animals over a period of time and then compare...

Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...

More than just data, scatter plots are full of information that can be used to answer a variety of questions. This lesson uses a plot with information about bird egg sizes to answer questions about the relationship between length and...

Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...

Learn about patterns in residual plots with an informative math lesson. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set and exit ticket...

Make sure there is enough ice cream on hand. Learners try to find out how much ice cream to buy for a sports event. Scholars use a pie chart showing the percent of a sample of people who like different flavors of ice cream. Using the...

Will Social Security still be around when you retire? Given data on the predicted balance of the social security fund over time, scholars plot the points on a coordinate grid and determine if a quadratic regression fits the data. They...

Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...

This un-scaffold summative assessment tasks learners to use the height of a bouncing basketball, given the data in graph and table form, to choose the model that is represented. Learners then use the model to answer questions about...

Put the better archer in a box. The performance task has pupils compare the performance of two archers using box-and-whisker plots. The resource includes sample responses that are useful in comparing individuals' work to others.

Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....