Grade 10
65 Units, 164 Skills
Squares and Square Roots - Advanced
Unit 1
Geometry - Circle Area, Sectors and Donuts - Intro
Unit 2
Measurement - Units Advanced - Metric
Unit 3
Geometry - Cylinders - Intro
Unit 4
Percentages - Advanced
Unit 5
Cartesian Grid Geometry Logic - Practice
Unit 6
Factoring and Lowest Common Multiple - Advanced
Unit 7
Probability and Statistics - Mean, Median, and Mode - Advanced
Unit 8
Geometry - Volume Logic with 3D Shapes - Intro
Unit 9
Negative Integers - Practice
Unit 10
Speed, Distance, and Time Logic Challenges - Intro
Unit 11
Factoring, Multiplication, Division, Fractions - Practice
Unit 12
Pythagorean Triples - Intro
Unit 13
Cartesian Grid Distance - Intro
Unit 14
Exponents - Power Law - Practice
Unit 15
Pythagorean Theorem with Decimals - Intro
Unit 16
Algebra Manipulating Variables - Practice
Unit 17
Exponents - Negative Bases and Exponents - Intro
Unit 18
Exponents - Fractional Bases and Exponents - Intro
Unit 19
Algebra Systems of Equations - Intro
Unit 20
Measurement - Units Large/Small Intro - Metric
Unit 21
Pythagoras - Practice
Unit 22
Factoring, Multiplication, Division, Fractions - Advanced
Unit 23
Slopes and Parallels - Intro
Unit 24
Measurement Conversion and Map Scale - Intro - Metric
Unit 25
Probability - Set Operations - Intro
Unit 26
Patterns and Sums - Intro
Unit 27
Slopes and Perpendiculars - Intro
Unit 28
Fraction Multiplication - Advanced
Unit 29
Measurement - Unit Conversion Practice - Metric
Unit 30
Pythagorean Theorem in 3D - Intro
Unit 31
Fraction Addition and Subtraction, Mixed - Advanced
Unit 32
Probability and Counting - Multiple Events - Intro
Unit 33
Ratios of Lengths - Practice
Unit 34
Radicals - Simplifying Intro
Unit 35
Fraction Division - Practice
Unit 36
Scientific Notation - Multiplication and Division - Practice
Unit 37
Geometry - Intermediate - Intro
Unit 38
Line Equations and Graphing - Intro
Unit 39
Probability and Statistics - Probability with Factorials Intro
Unit 40
Measurement - Unit Conversion (Very Large and Small) Practice - Metric
Unit 41
Exponents - Negative Bases and Exponents - Practice
Unit 42
Exponents - Fractional Bases and Exponents - Practice
Unit 43
Algebra Manipulating Variables - Advanced
Unit 44
Line Equations and Graphing - Practice
Unit 45
Inscribed Squares and Circles - Intro
Unit 46
Trigonometry Foundations
Unit 47
Slopes and Parallels - Practice
Unit 48
Probability and Counting - Multiple Events - Practice
Unit 49
Scientific Notation - Multiplication and Division - Advanced
Unit 50
Measurement - Unit Conversion Advanced - Metric
Unit 51
Probability and Statistics - Permutations and Combinations Calculating - Intro
Unit 52
Measurement - Units Large/Small Practice - Metric
Unit 53
Slopes and Perpendiculars - Practice
Unit 54
Geometry - Intermediate - Practice
Unit 55
Patterns and Sums - Practice
Unit 56
Measurement - Unit Conversion (Very Large and Small) Intro - Metric
Unit 57
Probability - Set Operations - Practice
Unit 58
Trigonometry Fundamentals - Intro
Unit 59
Measurement Conversion and Map Scale - Practice - Metric
Unit 60
Fraction Division - Advanced
Unit 61
Polynomials and Quadratics - Intro
Unit 62
Scientific Notation Units - Intro
Unit 63
Radicals - Simplifying Practice
Unit 64
Probability and Statistics - Probability with Factorials Practice
Unit 65
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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