Curated OER
Least Squares
In this least squares worksheet, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the slope and...
Curated OER
Number Sense and Numeration: Multiples, Factors and Square Roots
A great resource for any math teacher covering multiples, factors or square roots; this learning exercise walks young mathematicians through the logic behind factoring and square roots with a systematic set of problems which gradually...
Curated OER
Least Squares Fit Line
Practice makes perfect! Learners estimate the least squares fit line for a set of data. They understand error involved in least squares fit lines, and solve application problems using least square fit lines.
Curated OER
Exponential Expressions - Perfect Squares, Square Roots
Color tiles are used to model perfect squares. Alone or in pairs, middle schoolers will find patterns. Afterward, the relationship between perfect squares and roots will be discussed as a whole class.
Curated OER
Influence and Outliers
Using the TI-Nspire calculator, statisicians identify outliers and their effect on the least-squares regression line. In finding the line of best fit, they determine what points will affect the least squares regressions and what points...
Curated OER
Linear Systems: Least Squares Approximations
In this least squares approximation worksheet, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This four-page...
Curated OER
Linear Systems: Least Squares Approximations
In this least squares approximation worksheet, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students find the...
EngageNY
Simplifying Square Roots
Explore the process of simplifying square roots through an analysis of perfect squares. The fourth instructional activity of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The...
Curated OER
Numerical Analysis: Discrete Least Squares
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
Online Math Learning
Word Problems That Use GFC or LCM
This is a webpage that contains five word problems requiring learners to find the least common multiple or least common denominator.
Curated OER
More on Least Squares
In this least squares worksheet, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...
Curated OER
Linear Systems: Least Square Regression
In this least square regression worksheet, students find solutions to given linear systems. They draw pictures, draw a vector and prove the solution. This two-page worksheet contains eleven problems, with some examples and explanations.
Kenan Fellows
Multivariate Least Squares Regression Model with Variable Selection
The risk of contracting an infection in the hospital is low, but it does happen. Learn what risk factors have the highest correlation with hospital-acquired infections in the final lesson of a three-part series. Using the open source R...
Kenan Fellows
Least Squares Linear Regression in R
The task? Determine the how effective hospitals are at reducing the rate of hospital-acquired infections. The method? Data analysis! Using an open source software program, individuals use provided data and create scatterplots to look for...
PHET
Least-Squares Regression
Less is best when looking at residuals. Scholars use an interactive to informally fit a linear regression line to data on a scatter plot. The interactive provides a correct best fit line with residuals and correlation coefficient to...
Curated OER
Small and Large Squares
Young mathematicians classify squares according to attributes. They sort squares according to specific attributes. Students explore squares in repeating patterns and order squares according to size. Engaging extension activities are...
EngageNY
Interpreting Residuals from a Line
What does an animal's gestation period have to do with its longevity? Use residuals to determine the prediction errors based upon a least-square regression line. This second lesson on residuals shows how to use residuals to create a...
CK-12 Foundation
Least-Squares Regression
Residual plots let you find the perfect line of best fit. As users adjust the points on a scatter plot and a possible line of best fit, the interactive automatically changes the residual plot. This change allows them to see connections...
Curated OER
Swing your Partner: The Basics of Square Dancing
Students perform square dancing steps. In this square dancing lesson plan, students view a video to learn the basic steps. Students discuss the history of the dance and perform with partners.
California Education Partners
Least and Greatest
Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...
Curated OER
Punnett Squares
Eighth graders take a short quiz on genotypes and phenotypes. As a class, they are introduced to the concept of Punnett Squares and listen to a description of Gregor Mendel's pea experiment. In groups, they complete Punnett Squares to...
Curated OER
Least Squares Fit Line
Students estimate the least squares fit line for a set of data. They understand error involved in least square fit lines. They solve application problems using least square fit lines.
Curated OER
Geometric Shapes
Connect geometric shapes to your learners' lives with this worksheet. In order to complete this worksheet, young scholars must discover examples of triangles, squares, and circles at school, at home, and outdoors and list them on a...
Curated OER
How To Measure Area
Geometers learn how to measure the area in square units. They use the floor in the classroom as a visual to measure a square foot area. They use classmates to fill the space and expand the measured area square foot by square foot until...
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