What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 

Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...

Young mathematicians investigate the use of symmetry in graphic design. After first learning about reflection, translational, and rotational symmetry, children use this new knowledge to identify symmetry in letters of the...

Explore finding the surface area of composite figures. Building on the previous lessons in the 29-part series, the 24th installment examines the surface area of three-dimensional solids. The focus is on decomposing composite figures and...

Demonstrate linear and quadratic functions through contextual modeling. Young mathematicians explore both types of functions by analyzing their key features. They then relate these key features to the contextual relationship the function...

If you use a fabulous lesson plan, then your pupils can become fabulous at solving equations. The 24th installment of 25 incorporates the use of if-then statements to illustrate the properties of equality used in solving two-step linear...

Given a diagram of connected or overlapping triangles, individuals must find congruent parts using various properties. Pictures include reflexive sides and vertical angles amongst the marked congruent parts.

Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...

Explore vocabulary and notation related to triangles and congruence. The fifth instructional activity in the 29-part series helps pupils build their knowledge of triangle relationships. Individuals identify corresponding parts of...

Is that drawn to scale? Capture the artistry of geometry using the ratio method to create dilations. Mathematicians use a center and ratio to create a scaled drawing. They then use a ruler and protractor to verify measurements. 

Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous instructional activity, using logarithm tables to develop properties....

Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems. 

Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...

What happens when rotating an image 180 degrees? The sixth lesson in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...

Discover how combinations are different from permutations. In the third installment of a 21-part module, scholars learn how to determine combinations of objects. They learn to distinguish between situations where order is important and...

Investigate the meaning of the Pythagorean Theorem through modeling. After comparing the area of the square of each side, individuals cut triangles and squares to facilitate the comparison.

Explore a real-word math problem with your class. Strengthen their problem-solving strategies by coming up with an answer to a money question. They work in groups to determine the answer. Also, they share with the class the various...

Force your way to a better understanding of vectors! Pairs of young scholars work together to apply the right amount of force to move an object along a straight line vector. They use calculations to determine the magnitude and direction...

Fifth graders investigate data from maps to solve problems. In this data instructional activity, 5th graders study maps and collect data from each map. Students present their data in a variety of ways and calculate the mode, mean,...

If only you had a Sorting Hat to sort out quadrilaterals. Learners sort cutouts of quadrilaterals based on their properties and attributes. A flowchart helps them organize the results of the activity.

What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.

Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function. 

Medians, midsegments, altitudes, oh my! Pupils study the properties of the median of a triangle, initially examining a proof utilizing midsegments to determine the length ratio of a median. They then use the information to find missing...

Become a bean counter. Pupils use a fun activity to design and execute an experiment to determine whether they can grab more beans with their dominant hand or non-dominant hand. They use the class data to create scatter plots and then...