Balanced Assessment
Dot Patterns
Use geometric patterns to teach your class how to write functions. The assessment task has scholars consider a pattern of dots to draw the next picture of the pattern. Pupils then analyze the pattern, which helps them develop a function...
Mathematics Assessment Project
Sidewalk Patterns
Sidewalk patterns ... it's definitely not foursquare! Learners investigate patterns in sidewalk blocks, write an expression to represent the pattern, and then solve problems using the expressions.
Curated OER
Symmetry of the Addition Table
Help your class discover the commutative property of addition with this exploration of the addition table. By folding and coloring the table, a symmetry is found that directs students to an understanding of this crucial mathematical...
Balanced Assessment
Stick Patterns
Sticks and stones may break my bones, but these sticks will make me smarter. Pupils examine arrays of sticks to determine the next array in a pattern. They use the number of sticks added to each previous array to determine a recursive...
Illustrative Mathematics
Hexagonal Pattern of Beehives
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....
Bowland
Geoboard Squares
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....
Inside Mathematics
Hexagons
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.
Curated OER
Seeing Dots
Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.
Inside Mathematics
Conference Tables
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...
Bowland
Three of a Kind
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.
Curated OER
Tile Patterns I: Octagons and Squares
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...
Mathematics Assessment Project
College and Career Readiness Mathematics Test C2
Scholars apply knowledge learned over their high school math courses in order to determine their college readiness. The 20-page resource emphasizes applied problem solving.
EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
Mathematics Assessment Project
Sidewalk Stones
One block, two blocks, white blocks, gray blocks. In the high school assessment task, learners investigate patterns of sidewalk stones to develop a quadratic expression for each colored block. Young mathematicians then use the expression...
Mathematics Assessment Project
Table Tiling
How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...
Inside Mathematics
Graphs (2007)
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...
Mathematics Assessment Project
Middle School Mathematics Test 6
A thorough math test divides the content into two 40-minutes sections, covering material through algebra and geometry. Problems incorporate analysis and applied problem solving.
Concord Consortium
Boards IV
Build a connection between algebraic sequences and spreadsheets. Learners examine a specific folding pattern and convert the pattern into a spreadsheet. The goal of the spreadsheet is to produce a sequence of a specific pattern modeled...
Concord Consortium
Boards III
Learn to visualize mathematical patterns as a folded pattern. Beginning with a visual display, the task encourages pupils to view sequences as a folded table. The pattern of the table then becomes a formula in a spreadsheet that...
Los Angeles County Office of Education
Assessment for the California Mathematics Standards Grade 3
Assess scholars' knowledge with a 22-page assessment that covers place value, patterns, probability, estimation, measurement, geometric figures; and their ability to add, subtract, multiply and divide proficiently.
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Mathematics Assessment Project
College and Career Readiness Mathematics Test B2
Use a nine-page evaluation to cover material from algebra, geometry, and algebra II. It incorporates short answer, applied reasoning, and conversion problems.
Illustrative Mathematics
Complex number patterns
Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.
Inside Mathematics
Squares and Circles
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...