Information for Teachers

The table below shows some Tessellations products that are appropriate for particular grade levels and broad math topics that roughly align with those in the Common Core State Standards for Mathematics (CCSS). The list following the grid gives some specific standards that are addressed by each product.

Numbers Measurement, Statistics and Probability

Geometry and Trigonometry Algebra Functions Modeling
K-3 Grade 2 Math by Design
Pattern Numbers
K-12 Geometric Shapes
Geometric Shapes Activity Book
Puzzellations puzzles
Mania puzzles

4-6

Arithmetic by Design
Estimation, etc. by Design
Pattern Numbers

Estimation, etc. by Design
Measurement and Geometry by Design
Puzzellations puzzles

K-12 Geometric Shapes
Lifelike Tessellations Activity Book
Regular Polygons Tessellations Activity Book
Designing and Drawing Tessellations
Regular Polygon Tessellations poster
Symmetry in Tessellations poster
Measurement and Geometry by Design
Puzzellations puzzles
Mania puzzles
Cubed Cubes
Brain Snacks

Symmetry in the Coordinate Plane
Pre-Algebra by Design

7-9

Middle School Math by Design
Pattern Numbers
Designs in the Coordinate Plane
The Irrational Puzzle
Kites & Darts puzzle

Making Faces
Middle School Math by Design
Puzzellations puzzles

Hands-on Trigonometry Proofs
Conic Sections
K-12 Geometric Shapes
Regular Polygon Tessellations poster
Symmetry in Tessellations poster
Tessellations in Our World poster
Polyhedra in Our World poster
Measurement and Geometry by Design
Designing and Drawing Tessellations
Puzzellations puzzles
Four Tricky puzzles
Brain Snacks
HexaPlex
KnoTiles

VisuAlgebra Blocks
Middle School Math by Design
Symmetry in the Coordinate Plane
Designs in the Coordinate Plane
Pre-Algebra by Design
Algebra by Design
Algebra I Topics by Design

Conic Sections

Tessellations in Our World poster
Polyhedra in Our World poster

10-12

Algebra II Topics by Design
Pattern Numbers

Making Faces
Fractal Trees

Hands-on Trigonometry Proofs
Conic Sections
K-12 Geometric Shapes
Pre-Calculus by Design
Fractals in Our World poster
The Circles of Descartes poster
Measurement and Geometry by Design
Designing and Drawing Tessellations
HexaPlex

VisuAlgebra Blocks
Algebra by Design
Algebra I Topics by Design
Algebra II Topics by Design
More Algebra by Design

Conic Sections
Pre-Calculus by Design
Algebra II Topics by Design
Hands-on Trigonometry Proofs

Tessellations in Our World poster
Polyhedra in Our World poster
Fractals in Our World poster
Fractal Trees

The following is a list of Tessellations products, along with two or more of the Common Core State Standards for Mathematics (CCSS) addressed by each product. The item number follows the item name in parentheses. The number of the specific standard follows the quoted standard in parentheses. For many of the products, there will be additional standards that are not listed here.

Manipulatives
K-12 Geometric Shapes (3112)
- Correctly name shapes regardless of their orientations or overall size. (K.G 2)
- Recognize and draw shapes having specified attributes, such as a given number of angles ... (2.G 1)
- Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes ... (3.G 1)
- Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. (4.G 2)
- Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes (6.G 1)
- Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself. (G-CO 3)
Conic Sections (3311)
- Translate between the geometric description and the equation for a conic section (G-GPE 1-3)
- Graph functions expressed symbolically ... (F-IF 7)
VisuAlgebra Blocks (3411)
- Interpret expressions that represent a quantity in terms of its context (A-SSE 1)
- Know and apply the Binomial Theorem for the expansion of (x + y)^n in powers of x and y ... (A-APR 5)
Hands-on Trigonometry Proofs (3511)
- Prove the Pythagorean identity ... (F-TF 8)
- Prove the addition and subtraction formulas for sine, cosine, ... (F-TF 9)
- Prove the Laws of Sines and Cosines ... (G-SRT 10)
Pattern Numbers (3611)
- ... By the end of Grade 3, know from memory all products of two one-digit numbers (3.OA 7)
- Identify arithmetic patterns (including patterns in the addition table or multiplication table) ... (3.OA 9)
- Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors ... (4.OA 4)
- Generate two numerical patterns using two given rules ... (5.OA 3)

"Design" Series Books
Grade 2 Math by Design (J169)
- Add and subtract within 20 ... (1.OA 6)
- Tell and write time in hours and half-hours (1.MD 3)
- Use addition and subtraction within 100 to solve one- and two-step word problems ... (2.OA 1)
Grade 3 Math by Design (J1691)
- Tell and write time from analog and digital clocks to the nearest five minutes ... (2.MD 7)
- Fluently multiply and divide within 10 ... (3.OA 7)
- Use place value understanding to round whole numbers to the nearest 10 or 100. (3.NBT 1)
Grade 4 Math by Design (J1692)
- Fluently add and subtract multi-digit whole numbers using the standard algorithm. (4.NBT 4)
- Apply the area and perimeter formulas for rectangles in real world and mathematical problems. (4.MD 3)
Grade 5 Math by Design (J1693)
- Add and subtract fractions with unlike denominators ... (5.NF 1)
- Use place value understanding to round decimals to any place. (5.NBT 4)
- Add, subtract, multiply, and divide decimals to hundredths (5.NBT 7)
Arithmetic by Design (J163)
- Fluently multiply multi-digit whole numbers using the standard algorithm. (5.NBT 5)
- Interpret and compute quotients of fractions ... (6.NS 1)
- Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. (6.NS 3)
Middle School Math by Design (J1694)
- Use variables to represent numbers and write expressions when solving a real-world or mathematical problem ... (6.EE 6)
- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers ... (7.NS 1)
Estimation, etc. by Design (J161)
- Use place value understanding to round decimals to any place. (5.NBT 4)
- Recognize area as an attribute of plane figures and understand concepts of area measurement. (3.MD 5)
Measurement and Geometry by Design (J164)
- Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement ... (4.MD 5)
- Convert among different-sized standard measurement units within a given measurement system ... (5.MD 1)
- Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. (G-GMD 3)
Pre-Algebra by Design (J167)
- Solve linear equations in one variable. (8.EE 7)
- Perform arithmetic operations on polynomials (A-APR 1)
- Create equations and inequalities in one variable and use them to solve problems. (A-CED 1)
Algebra by Design (J160)
- Perform arithmetic operations on polynomials (A-APR 1)
- Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. (A-REI 3)
More Algebra by Design (J162)
- Write expressions in equivalent forms to solve problems (A-SSE3a)
- Graph the solutions to a linear inequality in two variables as a halfplane ... (A-REI 12)
Algebra I Topics by Design (J1695)
- Solve linear equations and inequalities in one variable ... (A-REI 3)
- Solve simple rational and radical equations in one variable, ... (A-REI 2)
Algebra II Topics by Design (J1696)
- Know there is a complex number i such that i^2 = -1, and every complex number has the form a + bi with a and b real. (N-CN 1)
- Use the relation i^2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. (N-CN 2)
- Add, subtract, and multiply matrices of appropriate dimensions. (N-VM 8)
- Use function notation, evaluate functions for inputs in their domains ... (F-IF 2)
Designs in the Coordinate Plane (J167)
- Solve systems of linear equations ... (A-REI 6)
- Create equations in two or more variables ... (A-CED 2)
Symmetry in the Coordinate Plane (J168)
- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers ... (7.NS 1)
- Use variables to represent numbers and write expressions when solving a real-world or mathematical problem ... (6.EE 6)
Pre-Calculus by Design (197)
- Translate between the geometric description and the equation for a conic section ... (G-GPE)
- Use the properties of exponents to transform expressions for exponential functions. (A-SSE 3c)
- Know and apply the Binomial Theorem ... (A-APR 5)
- For a function that models a relationship between two quantities, interpret key features of graphs (F-IF 4)
- Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (G-SRT 11)

Other Books
Lifelike Tessellations Activity Book (191)
- Recognize a line of symmetry for a two-dimensional figure ... (4.G 3)
- Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations (8.G 2)
Regular Polygon Tessellations Activity Book (192)
- Recognize a line of symmetry for a two-dimensional figure ... (4.G 3)
- Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations (8.G 2)
- ... Identify line-symmetric figures and draw lines of symmetry. (4.G 3)
Polyhedra Activity Book (194)
- ... Identify line-symmetric figures and draw lines of symmetry. (4.G 3)
- Represent three-dimensional figures using nets made up of rectangles and triangles ... (6.G 4)
Geometric Shapes Activity Book (195)
- Correctly name shapes regardless of their orientations or overall size. (K.G 2)
- Recognize and draw shapes having specified attributes, such as a given number of angles ... (2.G 1)
- ... Identify line-symmetric figures and draw lines of symmetry. (4.G 3)
Designing and Drawing Tessellations (193)
- Recognize a line of symmetry for a two-dimensional figure ... (4.G 3)
- Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations (8.G 2)
- Experiment with transformations in the plane ... (G-CO)
Fractal Trees (196)
- Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. (S-IC 5)
- Use geometric shapes, their measures, and their properties to describe objects (G-MG 1)

Classroom Posters
Regular Polygon Tessellations (054)
- Recognize angle measure as additive ... (4MD 7)
- Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations (8.G 2)
Symmetry in Tessellations (055)
- Recognize a line of symmetry for a two-dimensional figure ... (4.G 3)
- Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations ... (8.G 2)
Tessellations in Our World (074)
- Use geometric shapes, their measures, and their properties to describe objects (G-MG 1)
- Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations ... (8.G 2)
Polyhedra in Our World (075)
- Represent three-dimensional figures using nets made up of rectangles and triangles (6.G 4)
- Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (7.G 6)
- Use geometric shapes, their measures, and their properties to describe objects (G-MG 1)
Fractals in Our World (4105)
- Use geometric shapes, their measures, and their properties to describe objects (G-MG 1)
- Apply concepts of density based on area and volume in modeling situations (G-MG 2)
The Circles of Descartes (4106)
- Understand and apply theorems about circles (G-C)
- For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities ... (F-IF 4)

Puzzles
Puzzellations tessellation puzzles (504, 277, 1543, 1641, 1643, 136, 139, 1360, 288, 247)
- Recognize angle measure as additive ... (4MD 7)
- ... Identify line-symmetric figures and draw lines of symmetry. (4.G 3)
- Recognize a line of symmetry for a two-dimensional figure ... (4.G 3)
- Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations (8.G 2)
Mania puzzles (801, 802, 803)
- Recognize a line of symmetry for a two-dimensional figure ... (4.G 3)
- Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations (8.G 2)
Four Tricky puzzles (901. 902, 903)
- Recognize area as an attribute of plane figures and understand concepts of area measurement ... (3.MD 5)
- Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (7.G 6)
Brain Snacks (471, 473, 1301, 1302, 1303, 1311, 1312, 1313)
- Recognize area as an attribute of plane figures and understand concepts of area measurement ... (3.MD 5)
- Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (7.G 6)
The Irrational Puzzle (1341)
- Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (7.G 6)
- Know that there are numbers that are not rational, and approximate them by rational numbers ... (8.NS 1)
Cubed Cubes (1321)
- Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (7.G 6)
- Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. (8.G 7)
Making Faces (1080)
- Use permutations and combinations to compute probabilities of compound events and solve problems. (S-CP 9)
- Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space ... (S-MD 1)
HexaPlex (951)
- Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (7.G 6)
- Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations (8.G 4)
KnoTiles (1180)
- Recognize a line of symmetry for a two-dimensional figure ... (4.G 3)
- Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (7.G 6)

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