Grade 9
72 Units, 212 Skills
Geometry - Angles and Transformations - Practice
Unit 1
Fraction Multiplication - Practice
Unit 2
Exponents - Advanced
Unit 3
Order of Operations - Advanced
Unit 4
Probability and Counting - Single Event - Advanced
Unit 5
Probability and Statistics - Counting and Probability Foundations
Unit 6
Fraction Division - Intro
Unit 7
Geometry - Circle Area and Circumference - Practice
Unit 8
Geometry - Isosceles and Equilateral Triangles
Unit 9
Digits and Divisibility - Practice
Unit 10
Decimal Multiplication - Advanced
Unit 11
Geometry - Intersecting, Parallel, and Perpendicular Lines
Unit 12
Fraction Addition and Subtraction - Advanced
Unit 13
Decimal Division - Advanced
Unit 14
Fraction Addition and Subtraction, Mixed - Practice
Unit 15
Exponents - Multiplication and Division - Advanced
Unit 16
Geometry - Circle Partial Area and Circumference - Intro
Unit 17
Patterning - Number Patterns Advanced
Unit 18
Measurement - Units Advanced - Metric
Unit 19
Geometry - Surface Area of 3D Shapes - Practice
Unit 20
Factoring and Greatest Common Factor - Advanced
Unit 21
Algebra Manipulating Variables - Intro
Unit 22
Geometry - Cylinders - Intro
Unit 23
Probability and Statistics - Counting and Probability Practice
Unit 24
Percentages - Advanced
Unit 25
Measurement - Unit Conversion Intro - Metric
Unit 26
Speed, Distance, and Time - Advanced
Unit 27
Ratios of Lengths - Intro
Unit 28
Cartesian Grid Geometry Logic - Practice
Unit 29
Percents and Simple Interest - Practice
Unit 30
Squares and Square Roots - Advanced
Unit 31
Area and Perimeter Logic - Practice
Unit 32
Slope - Intro
Unit 33
Algebra Basic Concepts - Advanced
Unit 34
Factoring and Lowest Common Multiple - Advanced
Unit 35
Probability and Statistics - Mean, Median, and Mode - Advanced
Unit 36
Geometry - Volume Logic with 3D Shapes - Intro
Unit 37
Scientific Notation - Multiplication and Division - Intro
Unit 38
Pythagoras - Intro
Unit 39
Negative Integers - Practice
Unit 40
Speed, Distance, and Time Logic Challenges - Intro
Unit 41
Factoring, Multiplication, Division, Fractions - Practice
Unit 42
Pythagorean Triples - Intro
Unit 43
Cartesian Grid Distance - Intro
Unit 44
Probability and Statistics - Factorial Form Intro
Unit 45
Exponents - Power Law - Practice
Unit 46
Pythagorean Theorem with Decimals - Intro
Unit 47
Algebra Manipulating Variables - Practice
Unit 48
Exponents - Negative Bases and Exponents - Intro
Unit 49
Exponents - Fractional Bases and Exponents - Intro
Unit 50
Algebra Systems of Equations - Intro
Unit 51
Measurement - Units Large/Small Intro - Metric
Unit 52
Pythagoras - Practice
Unit 53
Factoring, Multiplication, Division, Fractions - Advanced
Unit 54
Slopes and Parallels - Intro
Unit 55
Measurement Conversion and Map Scale - Intro - Metric
Unit 56
Probability - Set Operations - Intro
Unit 57
Patterns and Sums - Intro
Unit 58
Slopes and Perpendiculars - Intro
Unit 59
Geometry - Circle Area, Sectors and Donuts - Intro
Unit 60
Fraction Multiplication - Advanced
Unit 61
Measurement - Unit Conversion Practice - Metric
Unit 62
Pythagorean Theorem in 3D - Intro
Unit 63
Fraction Addition and Subtraction, Mixed - Advanced
Unit 64
Probability and Counting - Multiple Events - Intro
Unit 65
Ratios of Lengths - Practice
Unit 66
Radicals - Simplifying Intro
Unit 67
Fraction Division - Practice
Unit 68
Scientific Notation - Multiplication and Division - Practice
Unit 69
Geometry - Intermediate - Intro
Unit 70
Line Equations and Graphing - Intro
Unit 71
Probability and Statistics - Probability with Factorials Intro
Unit 72
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:
At Mobius we have lots of great (and free) resources to help you learn math. To keep kids engaged, there’s nothing better than a math-powered video game! Try out a Mobius game mapped to Geometry - Surface Area of 3D Shapes - Practice.
Count Blocks with 1 Outside Faces (Level 1)
This math topic focuses on calculating the surface area of rectangular prisms by determining the number of blocks with one outside face. These geometry problems require visualization of three-dimensional shapes and an understanding of their spatial dimensions to infer solutions from provided prism dimensions such as 5x4x5 or 3x5x5. Each question offers multiple choice answers, indicating only one correct answer among several possibilities. The primary skill practiced here is the geometrical analysis of 3D structures, vital for effectively working with basic and complex geometric shapes.
moreThis topic focuses on calculating the surface area of non-right triangular prisms. It is designed for beginners as part of an introductory unit on the surface area of three-dimensional shapes in geometry. Students are given problems with the images of triangular prisms and must determine their surface area from multiple-choice options. This strengthens their understanding of geometry and enhances their ability to solve surface area problems for triangular prisms, preparing them for more complex 3D shape calculations.
moreThis math topic focuses on calculating the surface area of right triangular prisms. It is part of a broader unit on the surface area of three-dimensional shapes within geometry. Each problem presents an image of a right triangular prism with its dimensions and poses a question about its surface area. Students are provided multiple choice answers to select from. This set of problems enhances understanding of how to compute the surface area of right triangular prisms, reinforcing skills in handling 3D shapes in geometry.
moreThis math topic focuses on calculating the surface area of rectangular prisms. It forms part of an introductory unit on the surface areas of three-dimensional shapes. Each question asks students to determine the surface area of a given rectangular prism, providing multiple-choice answers. The problems require understanding of geometry and spatial awareness, specifically applying formulas for surface area to practical examples in a level 1 difficulty setting. This forms the basis for more advanced studies in geometry, especially in the surface area and volume of different shapes.
moreThis math topic focuses on calculating the surface area of cylinders, enhancing skills in geometry, specifically the surface area computations for 3D shapes. The problems involve analyzing different cylinders with various dimensions and selecting the correct surface area from multiple choice answers. Each question illustrates a cylinder and offers several potential surface area expressions (in terms of π) as answer options. These exercises aim to deepen understanding of spatial dimensions and formula application for real-world shape analysis.
moreThis math topic focuses on calculating the circumference of a circle using calculators, suitable for introductory lessons on geometry surrounding surface areas of 3D shapes. It includes several problems where students must apply the formula for the circumference of a circle, which is typically \(C = 2\pi r\) or \(C = \pi d\), to find accurate results given different circle illustrations and conditions. This strengthens their skills in practical applications of geometric principles using computational aids.
moreLevel 1
This math topic focuses on calculating the circumference of a circle using the value of π. It is designed for beginners, integrating basic principles of geometry and the introduction to surface area of 3D shapes. Each problem presents a circle with different dimensions and asks for the circumference expressed as a multiple of π. Multiple choice answers are provided for each question, featuring different multiples of π. This curriculum forms part of a larger unit on 3D shapes and their properties, aimed at building foundational geometry skills.
moreThis math topic involves calculations related to the area of a circle. It's part of a larger unit focused on geometry, specifically the surface area of 3D shapes. Questions include diagrams of various circles, and the task is to calculate their area, with the assistance of a calculator, providing a wide range of possible solutions. This gives students an opportunity to practice calculating circular areas and to strengthen their geometry skills.
moreThis math topic practices the skill of finding the area of a circle in terms of Pi (π). It is part of a broader unit on the surface area of 3D shapes within the field of geometry. Students are presented with various problems featuring different circles, and they choose the correct area from several provided options expressed in terms of Pi. This practice helps students understand how to calculate the area of a circle using Pi.
moreShape Image to Net Description (Words) (Level 1)
This math topic focuses on identifying and describing the nets of three-dimensional shapes. Throughout several questions, students are presented with images of 3D shapes and must determine the correct net components -- such as the number of specific shapes like squares, rectangles, triangles, circles, or partial circles -- that would represent the unfolded form of the given 3D shape. This set of problems is part of a broader geometry unit, aimed at studying the surface area of 3D shapes. The worksheet offers multi-choice answers to aid in visual and spatial reasoning skills development.
moreShape Image to Net (Level 1)
This math topic focuses on recognizing the nets corresponding to given 3D shapes, improving spatial visualization and understanding of geometric properties. It covers essential introductory skills in geometry, specifically in determining the surface area of 3D shapes by identifying the correct flattened version (net) of the shape depicted. Each question presents a different 3D shape and multiple choice answers with potential nets, challenging learners to match each shape with its corresponding net. This forms part of a broader introductory unit on the surface area of three-dimensional shapes.
moreThis math topic focuses on identifying three-dimensional shapes based on their number of faces and vertices. Participants are provided descriptions like "6 faces, 8 vertices" and must select the corresponding 3D shape from multiple options. This helps in developing skills related to the geometric understanding of three-dimensional shapes and their properties, critical for grasping concepts in geometry, particularly in the context of computing surface areas. Each problem is a practical application that reinforces knowledge of 3D forms and enhances visual-spatial reasoning.
moreThis math topic focuses on recognizing 3D shapes based on their properties, specifically the number of edges and faces each shape possesses. It is designed to enhance students' understanding of geometric shapes in a tangible manner by reverse engineering – identifying shapes from given attributes. The problems require students to select from multiple visual options, the shape that matches the specified number of edges and faces, such as a shape with 6 edges and 4 faces, or 12 edges and 6 faces. This practice aligns with fundamental concepts in geometry and surface area studies of 3D shapes.
moreThis math topic focuses on identifying 3D shapes based on a given set of properties—specifically, the number of edges and vertices each shape has. Each question presents a set of these geometric properties and then requires selecting the correct 3D shape that matches these specifications from multiple choices. This practice is part of a broader study unit on the geometry and surface area of 3D shapes, aimed at developing spatial visualization and geometric analysis skills.
moreThis math topic focuses on recognizing and counting the number of faces and vertices on various 3D shapes. It involves visual identification skills and foundational geometry knowledge about three-dimensional objects. The set of problems is structured to enhance the understanding of the surface area of 3D shapes, providing different examples to ensure comprehensive learning. Students are expected to analyze images of 3D shapes provided in each question and determine the correct count of faces and vertices among multiple choices. This subject offers practice in geometrical visualization and spatial reasoning.
moreThis math topic focuses on identifying and counting the faces and vertices of various three-dimensional shapes. It is structured at a beginner level and is an introductory part of a larger unit on the surface area of 3D shapes. By assessing visual representations of these shapes, learners are asked to determine the correct number of faces and vertices each shape possesses, fostering their spatial visualization and geometric understanding. It is tailored for learners new to the concepts, encouraging foundation-level comprehension in geometry.
moreThis math topic focuses on identifying and counting the edges and faces of three-dimensional shapes. It involves visualizing and analyzing various 3D structures to determine their geometry, which is a fundamental skill in understanding surface areas and the properties of shapes in geometry. Each problem presents a different 3D shape and asks students to select the correct number of edges and faces from multiple-choice options. This is part of a broader educational segment on the surface area of 3D shapes.
moreThis math topic practices skills related to identifying and counting the edges and faces of various three-dimensional shapes. It's geared towards beginners and is part of a broader unit focused on the geometry and surface area of 3D shapes. Each problem presents a different 3D shape, and students are asked to determine the number of edges and faces it contains, choosing from multiple-choice options. This type of task helps students understand the properties and structure of 3D shapes, which is foundational for learning about geometry.
moreThis math topic focuses on identifying and counting the edges and vertices of various three-dimensional shapes. It is designed to help develop skills in recognizing geometric properties and characteristics of 3D figures, specifically within a larger context of understanding the surface area of these shapes. The problems present images of 3D shapes and offer multiple choice answers for learners to select the correct count of edges and vertices for each depicted shape. This topic is suitable for learners aiming to enhance their understanding of geometry, particularly in analyzing the structural components of three-dimensional objects.
moreThis topic involves practicing counting edges and vertices on three-dimensional shapes. It's part of a broader unit focused on the geometry and surface area of such shapes. Specifically, learners are given different 3D shapes and are asked to determine the number of edges and vertices each one possesses, providing multiple choice answers to select from. This is aimed at beginners and is useful for developing an understanding of 3D geometric properties.
moreCount Blocks with 2 Outside Faces (Level 1)
This math topic practices calculating the surface area of rectangular prisms, specifically focused on identifying the number of blocks within the prism that have exactly two outside faces. It includes various dimensions of rectangular prisms to vary the challenge, and learners have to select the correct count of such blocks from multiple choices. The problems are part of a larger unit on learning the surface area of 3-dimensional shapes, offering foundational geometry skills for understanding more complex geometric calculations. The worksheet contains visual aids to assist in visualizing the 3D shapes and their exposed surface blocks.
moreCount Blocks with 0 Outside Faces (Level 1)
This math topic focuses on calculating the surface area of rectangular prisms by counting the number of blocks that have zero outside faces exposed. The problems presented involve various dimensions of rectangular prisms, requiring learners to visualize the three-dimensional shapes and determine how many blocks within these prisms are completely enclosed by other blocks, thus having no external faces. The questions are structured to build understanding of the concept of surface area in the context of geometry, specifically pertaining to three-dimensional shapes. Each problem provides multiple-choice answers, enhancing problem-solving skills centered around spatial reasoning and geometry.
moreCount Blocks with 3 Outside Faces (Level 1)
This math topic focuses on determining the number of blocks in a rectangular prism that have three outside faces. It is aimed at understanding the surface area concepts within the broader context of 3D shapes in an introductory geometry unit. Each question presents a different rectangular prism with dimensions specified, and students are asked to identify which multiple-choice option correctly represents the count of blocks with three visible sides. This requires visual and spatial reasoning to analyze 3D objects from different perspectives.
moreThis math topic focuses on calculating the surface area of rectangular prisms. It includes several problems where students are required to determine the surface area of various rectangular prisms given their dimensions, such as 2x5x4, 2x3x4, 4x2x2, 4x4x5, 3x4x5, 2x4x3, and 4x3x2. Each problem presents multiple-choice answers, aiding in reinforcing conceptual understanding and providing practice in geometry related to surface area calculations of 3D shapes.
more