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...
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.
Curated OER
Rational, Irrational and Square Roots
Students identify rational and irrational numbers and their use in mathematical functions. Through demonstration, students discover the difference between rational and irrational numbers and their use. Using estimation skills students...
Curated OER
Numerical Analysis: Introduction to Approximation Theory
In this introduction to approximation theory, students compute the slope and intercept of a line. They describe nonlinear relationships. This four page worksheet contains approximately five problems.
Pennsylvania Department of Education
Classifying Figures on the Coordinate Plane
Fifth graders use estimation to solve word problems. For this fractions lesson, 5th graders decide whether or not an answer to a work problem is reasonable by applying their knowledge of fractions, decimals and estimation. This lesson...
Curated OER
One Hundred Things
Learners practice estimating by handling items in groups of ten. They visualize how much space 100 items, such as pennies, peas, or beans, will take up after holding 10 of them. Students measure the difference in volume between 10 and...
Curated OER
Square Roots, Number Classification, Ordering & Graphing
Ninth graders identify numbers as rational or irrational. Using calculators estimation, and factoring methods, 9th graders compute the square root of numbers. They graph numbers in sequential order and round numbers integers to the...
Curated OER
Worksheet 19
In this math worksheet, students try to fit a line to a set of data. Then they use the least squares method is based on minimizing the sum of the squares of the errors.
Inside Mathematics
Quadratic (2009)
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 quadratic...
Pennsylvania Department of Education
Problem Solving with Fractions
Solve story problems using fractions or decimals. Then, determine the reasonableness of answers using estimation.The detailed activity includes essential questions, vocabulary, a materials list, and links to related units.
Curated OER
How Big Is It?
Fifth graders look at the Garrison flag and estimate how big it is. In this measurement lesson plan, 5th graders then calculate the area and perimeter of the flag.
Curated OER
Heart to Heart
Students predict the outcome of a question and conduct a survey and record their findings on a bar graph.
Charleston School District
Comparing and Ordering Irrational Numbers on a Number Line
Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...
Charleston School District
Review Unit 7: Real Numbers
Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...
Curated OER
Understanding Pi.
Students study the relationship between circumference and diameter to come up with Pi. "In this pi lesson, students measure, record and find the ratio "circumference/diameter" and their average which is an approximation of pi.