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
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
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
This math unit begins by focusing on the fundamentals of multiplying negative integers and understanding exponent rules related to negative bases. Students start by exploring the multiplication of the same negative integers repeatedly to grasp how negative powers affect the sign and magnitude of results. They then delve deeper into the complexities of exponents, specifically practicing calculations involving negative numbers raised to powers, which teaches them the effects and outcomes of squaring negative bases. As the unit progresses, learners engage with more intricate forms of exponents, such as calculations involving unit fractions and integer bases raised to negative fractional exponents. The exercises increasingly challenge students to simplify these expressions by applying their knowledge of exponent rules and understanding their equivalence to radical forms. This includes factorizing bases and recognizing how to simplify expressions both in exponent and radical forms, working with both square and non-square bases. By the end of the unit, students become adept at transforming complex exponential expressions with negative and fractional exponents into simplified radical forms, even when the bases require factorization. They refine their ability to manipulate, simplify, and accurately determine the results of expressions involving various configurations of bases and exponents, thereby deepening their understanding of a significant aspect of algebra.
Skills you will learn include:
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