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Illustrative Mathematics

Hexagonal Pattern of Beehives

For Teachers 9th - 12th Standards
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Assessment
Inside Mathematics

Hexagons

For Teachers 9th - 12th Standards
Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
Assessment
Los Angeles County Office of Education

Assessment for the California Mathematics Standards Grade 1

For Students 1st Standards
Here is an assessment designed to test mathematicians' knowledge of writing numbers, comparing numbers, skip counting, solving addition and subtraction problems; along with measuring objects, telling time, identifying shapes, reading...
Assessment
Bowland

Three of a Kind

For Teachers 6th - 9th
One is chance, two is a coincidence, three's a pattern. Scholars must determine similarities and differences of a regular hexagon undergoing dilation. They look at lengths, angles, areas, and symmetry.
Assessment
Inside Mathematics

Conference Tables

For Teachers 9th - 12th Standards
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...
Lesson Plan
Curated OER

Tile Patterns I: Octagons and Squares

For Teachers 7th - 9th Standards
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
Assessment
Inside Mathematics

Graphs (2007)

For Teachers 9th - 12th Standards
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
Assessment
Bowland

Geoboard Squares

For Teachers 6th - 9th
Don't be a square! Help your budding mathematicians discover patterns within squares. Scholars create squares on geoboards and identify patterns in the number of nails, both nails on the edge of the squares and nails within the squares....
Assessment
Concord Consortium

Bricks for Books

For Students 5th - 7th Standards
Maximize a profit with an understanding of geometric dimension. A real-world task challenges learners to design a pattern using three different brick shapes. The bricks are dedicated with a different donation for each shape, so part of...
Assessment
Noyce Foundation

Granny’s Balloon Trip

For Teachers 5th - 8th Standards
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
Assessment
Inside Mathematics

Squares and Circles

For Teachers 8th Standards
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Assessment
Inside Mathematics

Magic Squares

For Teachers 9th - 12th Standards
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra. 
Assessment
Inside Mathematics

Graphs (2006)

For Teachers 9th - 12th Standards
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Assessment
Noyce Foundation

Mixing Paints

For Teachers 6th - 7th Standards
Let's paint the town equal parts yellow and violet, or simply brown. Pupils calculate the amount of blue and red paint needed to make six quarts of brown paint. Individuals then explain how they determined the percentage of the brown...
Assessment
Inside Mathematics

Snakes

For Teachers 9th - 12th Standards
Get a line on the snakes. The assessment task requires the class to determine the species of unknown snakes based upon collected data. Individuals analyze two scatter plots and determine the most likely species for five...
Assessment
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Inside Mathematics

Two Solutions

For Teachers 9th - 12th Standards
Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...
Assessment
Noyce Foundation

Boxes

For Teachers 6th Standards
Teach your class to think outside the box. Scholars use the concept of equality to solve a problem in the assessment task. They determine how to use a scale to identify the one box out of a set of nine boxes that is heavier than the others.
Assessment
Inside Mathematics

Population

For Teachers 9th - 12th Standards
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
Unknown Type
Math Slice

Math Slice: Sundee Slice Special Test

For Students 3rd - 8th Standards
A concise tool for assessing a variety of math concepts including measurement, algebra, number sense, and data. Assessment is scored online immediately. An excellent tool for quick assessment.