Academic standards

- CCSS.Math.Content.6.G.A.3
- Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same...
- CCSS.Math.Content.6.NS.A.1
- Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction...
- CCSS.Math.Content.6.NS.C.5
- Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature...
- CCSS.Math.Content.6.NS.C.6
- Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to...
- CCSS.Math.Content.6.NS.C.7
- Understand ordering and absolute value of rational numbers.
- CCSS.Math.Content.6.NS.C.8
- Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and...
- CCSS.Math.Content.6.RP.A.1
- Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings...
- CCSS.Math.Content.6.RP.A.2
- Understand the concept of a unit rate a/b associated with a ratio a:b with b != 0, and use rate language in the context of a ratio relationship....
- CCSS.Math.Content.6.RP.A.3
- Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams,...
- CCSS.Math.Content.7.EE.B.3
- Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and...
- CCSS.Math.Content.7.NS.A.1
- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a...
- CCSS.Math.Content.7.NS.A.2
- Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- CCSS.Math.Content.7.NS.A.3
- Solve real-world and mathematical problems involving the four operations with rational numbers.1
- CCSS.Math.Content.7.RP.A.1
- Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different...
- CCSS.Math.Content.7.RP.A.2
- Recognize and represent proportional relationships between quantities.
- CCSS.Math.Content.7.RP.A.3
- Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and...
- CCSS.Math.Content.8.EE.A.2
- Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number....
- CCSS.Math.Content.8.NS.A.1
- Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational...
- GLE 0606.1.8
- Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and...
- GLE 0606.2.1
- Understand and explain the procedures for multiplication and division of fractions, mixed numbers, and decimals.
- GLE 0606.2.2
- Solve multi-step mathematical, contextual and verbal problems using fractions, mixed numbers, and decimals.
- GLE 0606.2.3
- Understand and use ratios, rates and percents.
- GLE 0606.2.4
- Understand and convert between fraction, decimal, and percent forms of rational numbers.
- GLE 0606.2.5
- Develop meaning for integers; represent and compare quantities with integers.
- GLE 0606.3.6
- Understand and use the Cartesian coordinate system.
- GLE 0606.4.1
- Understand and use basic properties of triangles, quadrilaterals, and other polygons.
- GLE 0706.1.2
- Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution.
- GLE 0706.1.5
- Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions.
- GLE 0706.1.8
- Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and...
- GLE 0706.2.1
- Extend understandings of addition, subtraction, multiplication and division to integers.
- GLE 0706.2.2
- Understand and work with the properties of and operations on the system of rational numbers.
- GLE 0706.2.3
- Develop an understanding of and apply proportionality.
- GLE 0706.2.4
- Use ratios, rates and percents to solve single- and multi-step problems in various contexts.
- GLE 0706.2.5
- Understand and work with squares, cubes, square roots and cube roots.
- GLE 0706.3.5
- Understand and graph proportional relationships.
- GLE 0706.4.2
- Apply proportionality to converting among different units of measurements to solve problems involving rates such as motion at a constant speed.
- GLE 0706.4.4
- Understand and use ratios, derived quantities, and indirect measurements.
- GLE 0806.2.1
- Extend understanding of the real number system to include irrational numbers.
- SPI 0606.2.1
- Solve problems involving the multiplication and division of fractions.
- SPI 0606.2.2
- Solve problems involving the addition, subtraction, multiplication, and division of mixed numbers.
- SPI 0606.2.4
- Solve multi-step arithmetic problems using fractions, mixed numbers, and decimals.
- SPI 0606.2.6
- Solve problems involving ratios, rates and percents.
- SPI 0606.2.7
- Locate positive rational numbers on the number line.
- SPI 0606.2.8
- Locate integers on the number line.
- SPI 0606.3.9
- Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system.
- SPI 0706.1.3
- Recognize whether information given in a table, graph, or formula suggests a directly proportional, linear, inversely proportional, or other nonlinear relationship.
- SPI 0706.2.1
- Simplify numerical expressions involving rational numbers.
- SPI 0706.2.3
- Use rational numbers and roots of perfect squares/cubes to solve contextual problems.
- SPI 0706.2.5
- Solve contextual problems that involve operations with integers.
- SPI 0706.2.6
- Express the ratio between two quantities as a percent, and a percent as a ratio or fraction.
- SPI 0706.2.7
- Use ratios and proportions to solve problems.
- SPI 0706.3.4
- Interpret the slope of a line as a unit rate given the graph of a proportional relationship.
- SPI 0706.3.5
- Represent proportional relationships with equations, tables and graphs.
- SPI 0806.1.1
- Solve problems involving rate/time/distance (i.e., d = rt).
- SPI 0806.1.3
- Calculates rates involving cost per unit to determine the best buy.
- SPI 0806.2.2
- Identify numbers and square roots as rational or irrational.
- SPI 0806.4.2
- Apply the Pythagorean theorem to find distances between points in the coordinate plane to measure lengths and analyze polygons and polyhedra.
- SPI 0806.4.4
- Convert between and within the U.S. Customary System and the metric system.
- TSS.Math.6.G.A.3
- Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side that joins two vertices (vertical or...
- TSS.Math.6.NS.A.1
- Interpret and compute quotients of fractions, and solve contextual problems involving division of fractions by fractions (e.g., using visual fraction models...
- TSS.Math.6.NS.C.5
- Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below...
- TSS.Math.6.NS.C.6
- Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent...
- TSS.Math.6.NS.C.7
- Understand ordering and absolute value of rational numbers.
- TSS.Math.6.NS.C.8
- Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value...
- TSS.Math.6.RP.A.1
- Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, the ratio of wings to beaks...
- TSS.Math.6.RP.A.2
- Understand the concept of a unit rate a/b associated with a ratio a:b with b != 0. Use rate language in the context of a ratio relationship.
- TSS.Math.6.RP.A.3
- Use ratio and rate reasoning to solve real-world and mathematical problems.
- TSS.Math.7.EE.B.3
- Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers presented in any form (whole numbers, fractions, and...
- TSS.Math.7.NS.A.1
- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a...
- TSS.Math.7.NS.A.2
- Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- TSS.Math.7.NS.A.3
- Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for...
- TSS.Math.7.RP.A.1
- Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. For...
- TSS.Math.7.RP.A.2
- Recognize and represent proportional relationships between quantities.
- TSS.Math.7.RP.A.3
- Use proportional relationships to solve multi-step ratio and percent problems.
- TSS.Math.8.EE.A.2
- Use square root and cube root symbols to represent solutions to equations of the form x 2 = p and x 3 = p, where p is a positive rational number. Evaluate...
- TSS.Math.8.NS.A.1
- Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show...

Alignment of this item to academic standards is based on recommendations from content creators, resource curators, and visitors to this website. *It is the responsibility of each educator* to verify that the materials are appropriate for your content area, aligned to current academic standards, and will be beneficial to your specific students.

Essential and guiding questions:

Questions for Students:

- What can we say about the sides of the various shapes?
- If a hexagon tile is too expensive or the wrong color, what other tiles could you use to achieve the same shape?
- How many triangles are needed to make a trapezoid?
- How many triangles are needed to make a big rhombus?
- What shape or shapes could be used in place of the small rhombus? How is the small rhombus different from the big rhombus?