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...
K-5 Math Teaching Resources
Multiplication Chart
This is not your run-of-the-mill multiplication chart. Going beyond the standard 12 x 12 limit, this resource includes multiplication facts up through 12 x 20, making it great for supporting children as they continue working toward being...
Willow Tree
Factoring Polynomials
Young mathematicians discover trees organize more than just families — they help factor, too. The lesson begins with factor trees and develops slowly to factoring by grouping and special patterns.
Willow Tree
Perimeter of Common Geometric Figures
Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...
California Mathematics Project
Reflections
Reflections are the geometric mirror. Pupils explore this concept as they discover the properties of reflections. They focus on the coordinates of the reflections and look for patterns. This is the third lesson in a seven-part series.
02 x 02 Worksheets
Symmetry
Get learners' minds rotating and reflecting while looking for symmetry. Pupils investigate figures to determine the number of lines of symmetry and if the figure has rotational symmetry. Classmates work together in groups to find out the...
CK-12 Foundation
Multiplication of Monomials by Polynomials: Distributing the Monomial
An interactive shows graphically the distribution of a monomial across all the terms in a polynomial multiplication problem. Pupils relate the specific example to a more general problem then make conclusions to develop a pattern for...
CK-12 Foundation
Combination Problems: Friends at a Party
Friend or stranger? Can there be less than three in a group? The interactive asks learners to prove that for seven people at a party, at least three of them are either mutual friends or mutual strangers. Pupils determine the number of...
CK-12 Foundation
Two-Sided Stem-and-Lead Plots: Gamers
Which gender spends more time playing video games? Your classes use provided data to answer this question. They first build a two-sided stem-and-leaf plot and then use the display to look for patterns. Guiding questions help them...
CK-12 Foundation
Sums of Geometric Series
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
Concord Consortium
Heights and Weights
Height is dependent on weight—or is it the other way around? Given data from a physicians handbook, individuals compare the height and weight of males and females at different areas. They calculate differences and ratios to assist with...
Concord Consortium
Intersections II
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...
CK-12 Foundation
Values Written as Powers: Binary Numbers 1 to 8
A six-question interactive tasks scholars with adding binary numbers one through eight. A tool acts as a visual aid to showcase the patterns made when working with base—2, digits zero and one. Question types include fill in the blank,...
Illustrative Mathematics
Equality Number Sentences
Understanding the concept of equality is fundamental to the success of young mathematicians. To explore this basic idea, children compare the dots arranged in pairs of rectangles in order to determine whether or not they contain an equal...
Curated OER
Equal Differences Over Equal Intervals 2
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...
Mathematics Vision Project
Similarity and Right Triangle Trigonometry
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
Balanced Assessment
Books from Andonov
To examine mathematical functions in a modeling situation pupils combine quadratic and step functions to represent a presented scenario. They both graph and write a function to represent data shown in a table.
5280 Math
Step by Step
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
Curated OER
Can You Tell What the Hidden Message Is?
In this math patterns worksheet, students use their problem solving skills to solve 6 problems that require them to complete messages by finding patterns.
Curated OER
Cube Coloring Problem
Upper elementary and middle schoolers describe the various features of unit cubes, such as edges, corners, and faces. They also discuss how to represent measurements of a cube using exponents before engaging in various thinking and...
Curated OER
Patterns in Fractals
Students explore the concept of fractal patterns. In this fractal pattern lesson, students use an applet about the Hilbert Curve to answer questions about rectangles and other polygons. Students derive the fractal pattern when dividing...
Curated OER
Patterns In Fractals
Students find number patterns in the generation of several different types of fractals.
Curated OER
Fractals Teachers' Notes
When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...
Curated OER
Scattered About
Young scholars are introduced to the concept of scatter plots after reviewing the various types of graphs. In groups, they analyze the type of information one can receive from a scatter plot and identify the relationship between the x...
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