Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...

Learners build connections between algebra and geometry as they study equation solving. The ninth instructional activity in the series of 28 asks pupils to write equations using angle relationships. After writing equations to model...

Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...

Stay composed while solving problems. Learners put their knowledge of compositions to solve problems. To connect with the concept, scholars compose equations to answer questions from real-world situations. Finally, pupils practice using...

Learners simplify simple equations. Using a maze game, young mathematicians speculate about the size of different algebraic values and what other equivalent expressions might look like. It is a nice beginning activity for introducing...

Geometry is full of shapes, figures, and corresponding things here and there. The guide shares all of the key pieces of geometric information in a nicely color-coded and labeled sheet. 

Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.

Help your class look for patterns as they create their own arithmetic and geometric sequences. Engage learners with an introductory discussion on sequences and use the applet to let them explore how sequences are formed. Teachers might...

Turn students into detectives as they decipher encrypted messages.  Introduce your class to modular arithmetic and have a little fun encrypting and decoding secret messages. The activity does not hit many content standards, but...

In this measurement lesson, learners examine the Pythagorean Theorem, perimeter, and areas of right triangles. They record their measurements and research their findings on a grid.

Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra....

Learners solve word problems with a consumer math emphasis. This lesson plan also contains many strategies and questions learners can ask to solving problems.  There is also a bibliography included for resources on problem solving.

Middle and high schoolers investigate how to solve inequalities. The lesson has a good guide for taking pupils through a direct instruction of the concept. You can use counting tiles in order to help kinesthetic learners.

Employ proportional reasoning and algebraic understanding to a determine a real world math quandary. Intel has created a project based unit to engage learners in using algebra to describe the physical world. They will create equations,...

Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.

Real and unreal, rational and irrational, your learners will become experts at labeling numbers with this worksheet. A full sheet of different numbers requires your mathematicians to label each number with any category that fits that...

Ready to introduce your class to the coordinate plane? This website includes a detailed lesson plan that includes two interactive games to help learners practice graphing ordered pairs. The scripted discussion is a little cheesy and a...

How can you see a number in nature? Here, learners discover both Fibonacci numbers and the golden ratio by exploring a number of different resources.  Note: Some of the resources are older and may be missing some of the links, but...

Using the method of completing the square, algebra learners rewrite quadratic equations from standard form to vertex form. They will also graph quadratics, stating the vertex and axis of symmetry.  Solutions are provided.

Here is a one-variable word problems worksheet in which learners complete word problems dealing with all four operations and one variable. They complete a total of 18 problems.

It is important for the algebra learner to understand the use of parentheses. Mathematicians of all levels can make errors with nested parentheses. This will give them some practice. It makes for a good class starter or quick assessment.

Students, who are adult learners, participate in an Internet scavenger hunt in order to assimilate information about the biography of Alexander Hamilton and the Federalist Papers. They look at the Federalist and Anti-Federalist Papers...

Most young mathematicians are aware that the planets don’t orbit the sun in a circle but rather as an ellipse, but have never studied this interesting feature. This resource looks at the planetary orbits in more detail and helps learners...

Pupils identify and define various mathematical properties, such as the commutative properties of addition and multiplication, and the associative property of addition. They also reason and communicate mathematically by making...