Curated OER
Multiplying Binomials
Students factor binomials and apply it. In this algebra lesson, students use patterns to factor difference of squares and FOIL to factor other binomials. They apply the concept of binomials to vertical multiplication.
Curated OER
Introduction to Arithmetic and Geometric Sequences
Students examine the concept of sequences. Students create a sequence using varied starting numbers, multipliers, and add on values. Students practice determining the starting values to use in order to produce a desired sequence.
Curated OER
Irregular Fractals
Students study and research irregular fractals and construct a few based on their research. Students practice pattern recognition skills and plane geometry skills calculating dimensions on the Fractured Pictures activity.
Curated OER
Free Cell
Fourth graders use algebra to begin solving a problem. The problem has a real world application to engage learners. The main skill is converting fractions and decimals. Also finding the right number sentence for the word problem is...
Curated OER
Geometry and Symmetry
Pupils examine tessellations and their geometric properties. The instructional activity and discussions may be used to develop students' understanding of polygons and symmetry as well as their ability to analyze patterns.
EngageNY
Trigonometric Identity Proofs
Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...
EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
EngageNY
The Multiplication of Polynomials
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property.
Curated OER
I Have a Magic Pot
Pupils will explore numbers rules. They will create a picture of their rule and exchange their paper with a classmate. The classmate works to figure out the rule. They then share with each other how they found the rule. Questions are...
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
National Security Agency
What’s Your Coordinate?
Your middle schoolers will show what they know with their bodies when they become the coordinate plane in this conceptual development unit. Starting with the characteristics of the coordinate plane, learners develop their skills by...
EngageNY
Determining the Equation of a Line Fit to Data
What makes a good best-fit line? In the 10th part of a 16-part module, scholars learn how to analyze trend lines to choose the best fit, and to write equations for best-fit lines to make predictions.
Curated OER
Impossible Graphs
Students practice plotting functions on the Cartesian coordinate plane while participating in a discussion about the Possible Or Not worksheet/activity. Students also use the Impossible Graphs worksheet to practice reading a graph,...
Curated OER
A Special Relationship
Students discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and non-standard...
Curated OER
Introduction to Statistics: Mean, Median, and Mode
Pupils explore the concepts of mean, median, and mode. They develop an understanding and familiarity with these concepts. Students explore mean and median in an efficient way. Pupils explore three different measures of center.
Curated OER
Box Plots
Young statisticians are introduced to box plots and quartiles. They use an activity and discussion with supplemental exercises to help them explore how data can be graphically represented.
Curated OER
Slopes of Lines
Students examine a graph and relate it to the real world situation it depicts. They investigate changes in an equation and the appearance of a line. They investigate the connection between the graph of a situation and the meaning of the...
Curated OER
Functions and the Vertical Line Test
Students examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
Curated OER
Using Excel To Teach Probability And Graphing
Students engage in the use of technology to investigate the mathematical concepts of probability and graphing. They use the skills of predicting an outcome to come up with reasonable possibilities. Students also practice using a...
Curated OER
Pythagorean Theorem Spreadsheet
Studetns use a spreadsheet to organize data on the sides of a triangle. They use the Pythagorean Theorem and the If then spreadsheet function to decide whether the three sides determine a right triangle. Students work individual...
Curated OER
Pascal's Triangle
Students study Pascal's triangle. They construct their own version of Pascal's triangle, and relate some of the uses for it. While working through this process, students practice their integer multiplication and division skills.
Curated OER
Addends with Spiffy
Students solve single variable equations. In this missing addend lesson, students solve problems with missing addends. Students create a function box to help study numerical reasoning.
Curated OER
Shh...It's a Secret!
Students explore codes, decode secret messages, and create codes of their own to use with their friends. They examine the use of gestures, letters, symbols and numbers in codes.
Curated OER
Writing in the Math Classroom
Students determine the vertex, y-intercept and direction of a parabola and write an explanation of how to graph a parabola. They collect and graph data using a calculator.