Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...

Pupils learn the steps for basic constructions using a straightedge, a compass, and a pencil. Pairs develop the skills to copy a segment and an angle, bisect a segment and an angle, and construct parallel and perpendicular lines.

Do you view proofs as an essential geometric skill? The resource builds on an understanding of dilations by proving the Dilation Theorem of Segments. Pupils learn to question and verify rather than make assumptions. 

Discover the extension of parametric equations to model linear transformations. Scholars first write parametric equations to model lines through two points. They then find the parametric equations that represent a linear transformation.

Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through...

Rigid motions are to congruence as what are to similarity? Investigate properties of rigid motions and define congruence in terms of rigid motions with the ninth chapter of a 10-part eighth grade workbook series. The...

Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...

Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...

Individuals learn how to plot rational numbers on the number line in the sixth instructional activity of a 21-part module. They identify appropriate units and determine opposites of rational numbers.

Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...

Geometric constructions build relationships —by simply manipulating simple tools. An interactive lesson presents a completed construction of a segment bisector and has learners analyze the important aspects. Ultimately, they should be...

What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...

Mico the puppet wants to play a game! Can you figure out which picture card he's thinking of if he only says the middle sound? Choose three picture cards from the extensive library provided here, making sure scholars know what word each...

Evaluate young mathematicians' understanding of area and perimeter with this series of three assessment tasks. Challenging students to not only calculate the area and perimeter of irregular shapes, but to explain in writing their...

How does the number of sides of a polygon affect the angle measures? Learners recognize a pattern in finding the total measure of interior and exterior angles and the number of diagonals. They use the patterns to calculate...

What does it take to build a stable arch? Pupils apply vectors and physics as they examine arched bridges and their structural integrity. They use vectors to represent the forces acting on the stone sections and make conclusions based on...

Students explore the definitions of segment and distance. They perform hands-on activities to form a segment and examine distance. Following teacher guidance, they construct congruent line segments. Independently, they find the...

For this geometry worksheet, 5th graders label the two figures shown. Worksheet reviews and provides examples of a point, parallel lines, angles, rays, line segments, and perpendicular lines.

In this parallel lines and proportional parts worksheet, 10th graders solve 5 different problems related to determining whether lines are parallel and proportional in each figure. First, they refer to the figure shown at the top to...

In this geometry worksheet, 3rd graders draw the figure that is describe in each sentence. They use line segments and points as they draw or label each figure.

In this geometry worksheet, 3rd graders complete 5 exercises with line segments. They name segment that are shown in figure, compare the lengths of segments, name intersections, and tell alternate ways of naming segments.

For this line segments worksheet, learners complete problems involving points, longer and shorter segments, intersections, and more. Students complete 5 problems total.

In this graph of a function worksheet, students graph a function and find the value at a given point. They determine the absolute minimum and maximum of an interval. This two-page worksheet contains three problems.

Examine algebra using digital resources! Budding mathematicians will watch Cyberchase episode segments that propose a problem. Using information gathered from the video, they practice recording number patterns in several different ways:...