Geometry 2D
Grades 2-12
Geometry 3D
Grades 7-11
Circles
Grades 6-11
Pythagoras
Grades 7-11
Probability
Grades 5-12
Exponents
Grades 5-12
Fractions/Decimals
Grades 1-11
Factors/Primes
Grades 4-11
Speed/Distance/Time
Grades 6-12
Numbers
Grades 5-10
Statistics
Grades 5-12
Multiply/Divide
Grades 1-9
Percentages
Grades 6-10
Time
Grades 2-8
Scientific Notation
Grades 6-12
Rates/Ratios
Grades 5-10
Metric Units
Grades 6-12
Place Value
Grades 0-6
Addition and Subtraction
Grades 0-4
Numeracy
Grades 0-4
Radicals
Grades 8-12
Data/Graphing
Grades 1-8
Visual Patterning
Grades 1-6
Patterning
Grades 5-12
Slope/Linear Equations
Grades 8-12
Shapes and Angles
Grades 0-7
Algebra
Grades 6-12
Trigonometry
Grades 10-12
This math unit progresses through understanding the basic geometric properties of three-dimensional shapes leading to calculations involving their volume. Initially, students learn to classify 3D shapes as prisms or pyramids and further explore these shapes by counting their edges, vertices, and faces. These foundational skills in recognizing and analyzing the components of 3D shapes set the stage for more complex understanding. Subsequently, the unit shifts to focusing on nets of 3D shapes, where students match shapes to their corresponding flattened nets and vice versa, aiding in their comprehension of how 2D shapes form 3D objects. This exercise enhances spatial visualization and provides insights into surface area considerations. Finally, the unit culminates with practical applications of these geometric foundations to solve for the volume of rectangular prisms. Here, students count blocks to understand volume conceptually and perform calculations using volume formulas, bridging their geometric knowledge with real-world mathematical applications.Skills you will learn include:
This math unit begins by developing students' foundational understanding of circle geometry, starting with calculating the area of a circle using its radius and the value of π, and finding the radius from the diameter. Students initially perform these calculations manually, learning to express results in terms of π. The unit progresses to more complex applications involving areas and circumferences of circles with and without calculators. Subsequently, the unit advances to three-dimensional shapes, specifically focusing on cylinders. Students learn to calculate the volume of cylinders using given dimensions and progress to more challenging problems such as determining missing dimensions (radius, height, or side) from the volume and other known measurements. Understanding the relationships between dimensions and applying these in formulas is emphasized, alongside the use of π in calculations. Towards the end of the unit, students explore the spatial reasoning involved in identifying and describing nets of three-dimensional shapes, expanding their geometric insight into how 2D shapes can represent 3D objects, thus rounding out their understanding of geometry from basic area calculations to complex three-dimensional analysis.Skills you will learn include:
This math unit begins with teaching the Pythagorean Theorem for determining missing lengths in two-dimensional shapes and swiftly progresses to complex three-dimensional applications. Initially, students learn to compute unknown side lengths using radical expressions in 2D scenarios, establishing a strong foundation in geometrical reasoning and algebraic skills. As the unit progresses, learners move onto three-dimensional contexts, applying the theorem in more intricate settings involving double triangle configurations and rectangular prisms. Learners navigate through different challenges, from computing hypotenuse distances in 3D between two points using established prism dimensions to inversely calculating specific dimensions given a hypotenuse measurement. The unit methodically enhances spatial reasoning, with tasks evolving in complexity from finding full dimensions to focusing on calculations involving half the dimensions (height and depth), reinforcing the understanding of three-dimensional spatial relationships and dimensions. The structured progression meticulously builds proficiency in applying the Pythagorean Theorem not only in theoretical geometry but also in practical three-dimensional applications, crucial for advanced geometry understanding.Skills you will learn include:
This math unit begins by introducing students to the concept of volume through practical examples, starting with counting blocks to determine the volume of rectangular prisms. The unit progresses to calculating the volumes of more complex prisms, such as triangular and pentagonal prisms, enhancing learners' understanding of volume calculation in diverse three-dimensional shapes. Alongside volume, the unit delves into the geometric properties of various 3D shapes, challenging students to identify and count edges, vertices, and faces. These exercises develop spatial visualization and geometric analysis skills that are fundamental for understanding surface areas and the structural elements of three-dimensional objects. Towards the end of the unit, the focus shifts slightly to include surface area calculations, starting with the basics like the area of a circle and then a right triangle, applying these principles within the context of broader geometric studies.Skills you will learn include:
This math unit begins with students identifying and describing nets of 3D shapes to understand how these shapes unfold, establishing foundational geometry concepts. Progressively, the unit transitions into calculating areas, starting with relatively simpler forms like right triangles, then advancing to more complex shapes such as circles, enhancing understanding of area calculations using formulas and calculators. Next, the unit concentrates on calculating the surface area of different prisms, ranging from rectangular to triangular, incrementally challenging students to handle more complex 3D shapes. Furthermore, the unit deepens geometric understanding by involving students in exercises counting the edges, faces, and vertices of various 3D shapes—both from shapes to properties and vice versa. This reinforces knowledge of 3D forms and develops spatial visualization and geometric analysis skills, essential for mastering the geometry involved in calculating areas and understanding 3D properties.Skills you will learn include:
This math unit begins by teaching students how to calculate the volume of various prisms and cylinders, using standard formulas for three-dimensional shapes. It progresses towards a deeper understanding of these shapes' geometric properties by involving learners in tasks that require counting edges, faces, and vertices of different 3D shapes. After grasping the identification and basic counting of geometrical features, the unit then evolves to more complex activities, requiring students to work reversely -- selecting the correct 3D shape based on described properties such as number of faces and vertices. Moving forward, the unit returns to volumetric calculations but increases in complexity as students must now also compute missing side dimensions from given volumes and other dimensions, fostering a comprehensive understanding of spatial reasoning and applications of volume formulas in real-world contexts. The progression ensures mastery from basic volume calculation through to intricate manipulation of geometrical formulas and spatial properties.Skills you will learn include:
This math unit progresses through a focused study of three-dimensional (3D) geometry, beginning with the investigation of surface areas for various prisms and moving towards more complex geometrical calculations. Initially, students learn how to calculate the surface area of rectangular prisms by assessing individual block faces exposed on the outside. This foundational skill is deepened through the examination of edges, vertices, and faces on diverse 3D shapes, enhancing their ability to visualize and analyze geometric properties. The curriculum then advances to understanding nets of these shapes and applying learned concepts to calculate surface areas of cylinders and triangular prisms. Further, students explore formulas involving Pi, such as calculating the area and circumference of circles, intricately linking circle geometry with 3D contextual applications. Overall, this unit equips students with robust skills in visualizing, analyzing, and computing properties of various 3D objects, critical for comprehensive geometry education.Skills you will learn include: