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Grade 10

55 Units, 153 Skills

Measurement - Units Advanced - Metric

Unit 1

Squares and Square Roots - Advanced

Unit 2

Unit Conversion - Intro

Unit 3

Geometry - Circle Area, Sectors and Donuts - Intro

Unit 4

+2

Geometry - Cylinders - Intro

Unit 5

Percentages - Advanced

Unit 6

Cartesian Grid Geometry Logic - Practice

Unit 7

Slope - Intro

Unit 8

Factoring and Lowest Common Multiple - Advanced

Unit 9

Probability and Statistics - Mean, Median, and Mode - Advanced

Unit 10

Geometry - Volume Logic with 3D Shapes - Intro

Unit 11

Negative Integers - Practice

Unit 12

Speed, Distance, and Time Logic Challenges - Intro

Unit 13

Factoring, Multiplication, Division, Fractions - Practice

Unit 14

Cartesian Grid Distance - Intro

Unit 15

Pythagorean Triples - Intro

Unit 16

Exponents - Power Law - Practice

Unit 17

Algebra Manipulating Variables - Practice

Unit 18

Exponents - Negative Bases and Exponents - Intro

Unit 19

Exponents - Fractional Bases and Exponents - Intro

Unit 20

Algebra Systems of Equations - Intro

Unit 21

Pythagoras - Practice

Unit 22

Factoring, Multiplication, Division, Fractions - Advanced

Unit 23

Probability - Set Operations - Intro

Unit 24

Patterns and Sums - Intro

Unit 25

Fraction Multiplication - Advanced

Unit 26

Measurement - Unit Conversion (Very Large and Small) Practice - Metric

Unit 27

Pythagorean Theorem in 3D - Intro

Unit 28

Fraction Addition and Subtraction, Mixed - Advanced

Unit 29

Probability and Counting - Multiple Events - Intro

Unit 30

Ratios of Lengths - Practice

Unit 31

Radicals - Simplifying Intro

Unit 32

Fraction Division - Practice

Unit 33

Scientific Notation - Multiplication and Division - Practice

Unit 34

Geometry - Intermediate - Intro

Unit 35

Scientific Notation Units - Intro

Unit 36

Probability and Statistics - Probability with Factorials Intro

Unit 37

Exponents - Negative Bases and Exponents - Practice

Unit 38

Exponents - Fractional Bases and Exponents - Practice

Unit 39

Algebra Manipulating Variables - Advanced

Unit 40

Line Equations and Graphing - Practice

Unit 41

+2

Inscribed Squares and Circles - Intro

Unit 42

Trigonometry Foundations

Unit 43

Probability and Counting - Multiple Events - Practice

Unit 44

Scientific Notation - Multiplication and Division - Advanced

Unit 45

Probability and Statistics - Permutations and Combinations Calculating - Intro

Unit 46

Geometry - Intermediate - Practice

Unit 47

Patterns and Sums - Practice

Unit 48

Probability - Set Operations - Practice

Unit 49

Trigonometry Fundamentals - Intro

Unit 50

Fraction Division - Advanced

Unit 51

Polynomials and Quadratics - Intro

Unit 52

Scientific Notation Units - Practice

Unit 53

Radicals - Simplifying Practice

Unit 54

Probability and Statistics - Probability with Factorials Practice

Unit 55

Geometry - Circle Area, Sectors and Donuts - Intro

Unit 4

This math unit begins by teaching students how to calculate the area of circle sectors using fractional parts and then transitions to angle-based methods. Initially, students learn to calculate both exact areas and those rounded to the nearest integer using the sector's fraction of a circle or the given central angle. As the unit progresses, the focus shifts to more complex figures such as the 'circle donut', where students find either the inner or outer radius given other dimensions. Advanced topics cover converting given sector information into other properties like fractional coverage, sector angles, or arc lengths. Moving from specific area calculations to deducing other sector characteristics, learners deepen their understanding of the relationships between different properties of circle sectors. This helps in developing a comprehensive skill set in circle geometry, enhancing spatial reasoning and problem-solving abilities within the context of circle sectors and their broader geometric implications.

Skills you will learn include:

Foundational Units
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Learning through Game Play

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 - Circle Area, Sectors and Donuts - Intro.

This math topic focuses on finding the inner radius of a donut shape given the outer radius and the total area of the donut....

This math topic focuses on calculating the area of a circle sector to the closest integer. It involves determining the area...

This math topic focuses on calculating the area of a circle sector, involving the application of the formula that associates...

This math topic covers the calculation of the area of a circle sector using the sector angle and radius measurements. Specifically,...

This math topic focuses on calculating the area of circle sectors using given angles and radii. It is a part of a broader...

This math topic focuses on calculating the area of a circle sector, teaching students to determine sector areas when given...

This math topic involves calculating the area of a circle sector, where students are given the sector's angle and the circle's...

This math topic involves calculating the area of a sector of a circle. This requires the application of geometry concepts,...

This math topic focuses on the calculation of the area of a "donut" shape within a circle using the radii of the internal...

This math topic centers on calculating the area of a "circle donut" or annulus using both the inner and outer radii of the...

This math topic focuses on understanding and calculating the area of a "circle donut". More specifically, it requires finding...

This math topic focuses on finding the outer radius of a donut-shaped figure, given its area and inner radius. This is part...

This math topic focuses on finding the sector angle of a circle when given the sector area and the circle's radius. It consists...

This math topic involves calculating the sector angle of a circle given the sector's area and the circle's radius. It is...

This math topic involves finding the sector angle of a circle given the area of the sector and the radius. It is aptly placed...

This math topic focuses on calculating the arc length of a sector in a circle, given the sector's area and the circle's radius....

This math topic focuses on the calculation of arc lengths in sectors of circles using given sector areas and radius values....

This math topic focuses on calculating the arc length of a circle sector given the sector area and the circle radius. The...

This math topic involves calculating the arc length of a circle sector given its area and radius, rounding answers to the...

This math topic focuses on calculating the arc length of a sector in a circle given the sector's area and the circle's radius....

This math topic focuses on finding the arc length of a circle sector when given the sector area and circle radius, requiring...

This math topic focuses on determining the sector angle of a circle given the sector's area and the circle's radius. It is...

This math topic focuses on calculating the sector angle of a circle from the given sector area, practicing the inverse application...

This math topic focuses on finding the sector angle in a circle given the area of the sector and the radius of the circle....

This math topic focuses on calculating the fraction of a circle represented by a sector with a given area. Students learn...

This math topic focuses on calculating the fraction of a circle represented by a sector, based on the sector's area and the...

This math topic focuses on determining the fractional area of a circle's sector. It involves calculating what fraction a...

This math topic focuses on calculating the fraction of a circle covered by a sector, based on given sector areas and circle...

This math topic focuses on calculating the fraction of a circle represented by a sector, given the sector's area and the...

This math topic focuses on calculating the fraction of a circle's area that a sector occupies, using the given area of the...

This math topic focuses on calculating the area of a circle's sector based on the given arc length and radius. For each question,...

This math topic focuses on calculating the area of a circle sector given the arc length and the radius of the circle. Students...

This math topic focuses on calculating the area of a circle sector given the arc length, rounding the results to the closest...

The math topic focuses on calculating the area of a circle sector given the arc length and the radius of the circle. It is...

This math topic focuses on the concept of finding the area of a circle sector from an arc length to an area. It forms a part...

This math topic focuses on calculating the area of a circle's sector given its arc length and the circle's radius. It involves...

This math topic focuses on calculating the inner radius of a circle donut, using given values for the outer radius and the...

This math topic focuses on calculating the area of a circle's sector, expressed in terms of π. It tests understanding of...

This math topic focuses on calculating the areas of circle sectors, expressed in terms of π, where the portion of the circle...

This math topic focuses on calculating the area of a circle sector by converting a sector's fraction of the entire circle...

This math topic focuses on calculating the area of a circle sector, involving understanding geometric properties and applying...

This math topic focuses on finding the areas of circle sectors. Specifically, it involves calculating the areas of sectors...