Grade 9
68 Units, 194 Skills
Geometry - Angles and Transformations - Practice
Unit 1
Measurement - Units Advanced - Metric
Unit 2
Fraction Multiplication - Practice
Unit 3
Exponents - Advanced
Unit 4
Order of Operations - 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
Squares and Square Roots - Advanced
Unit 14
Decimal Division - Advanced
Unit 15
Fraction Addition and Subtraction, Mixed - Practice
Unit 16
Exponents - Multiplication and Division - Advanced
Unit 17
Unit Conversion - Intro
Unit 18
Geometry - Circle Area, Sectors and Donuts - Intro
Unit 19
Patterning - Number Patterns Advanced
Unit 20
Measurement - Units Large/Small Practice - Metric
Unit 21
Geometry - Surface Area of 3D Shapes - Practice
Unit 22
Factoring and Greatest Common Factor - Advanced
Unit 23
Algebra Manipulating Variables - Intro
Unit 24
Geometry - Cylinders - Intro
Unit 25
Probability and Statistics - Counting and Probability Practice
Unit 26
Percentages - Advanced
Unit 27
Measurement - Unit Conversion (Very Large and Small) Intro - Metric
Unit 28
Speed, Distance, and Time - Advanced
Unit 29
Ratios of Lengths - Intro
Unit 30
Cartesian Grid Geometry Logic - Practice
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
Cartesian Grid Distance - Intro
Unit 43
Probability and Statistics - Factorial Form Intro
Unit 44
Pythagorean Triples - Intro
Unit 45
Exponents - Power Law - Practice
Unit 46
Algebra Manipulating Variables - Practice
Unit 47
Exponents - Negative Bases and Exponents - Intro
Unit 48
Exponents - Fractional Bases and Exponents - Intro
Unit 49
Algebra Systems of Equations - Intro
Unit 50
Measurement - Units Large/Small Advanced - Metric
Unit 51
Pythagoras - Practice
Unit 52
Factoring, Multiplication, Division, Fractions - Advanced
Unit 53
Probability - Set Operations - Intro
Unit 54
Patterns and Sums - Intro
Unit 55
Fraction Multiplication - Advanced
Unit 56
Measurement - Unit Conversion (Very Large and Small) Practice - Metric
Unit 57
Pythagorean Theorem in 3D - Intro
Unit 58
Fraction Addition and Subtraction, Mixed - Advanced
Unit 59
Probability and Counting - Multiple Events - Intro
Unit 60
Ratios of Lengths - Practice
Unit 61
Radicals - Simplifying Intro
Unit 62
Fraction Division - Practice
Unit 63
Scientific Notation - Multiplication and Division - Practice
Unit 64
Geometry - Intermediate - Intro
Unit 65
Line Equations and Graphing - Intro
Unit 66
Scientific Notation Units - Intro
Unit 67
Probability and Statistics - Probability with Factorials Intro
Unit 68
This math unit begins with developing an understanding of determining the ones digit in products and exponents, starting with calculations involving small bases and progressively tackling larger bases and exponent values. Initially, students practice recognizing cyclical patterns of ones digits in small numbers raised to multiple powers. The unit progresses to include larger base numbers, where students continue to discern ones digit patterns through repeated multiplication and exponentiation, moving towards understanding the effects of varying power sizes on the final digits. Midway through the unit, the focus shifts towards prime factorization. Here, skills are honed in identifying whether an integer is a factor of another, using prime factorization to understand and check commonality between numbers, leading to an appreciation of greatest common factors. Concluding topics return to digit solving but with increased complexity: students work with both large and small exponents, exploring how exponent multiplication affects the ones digit when the exponents are identical or different. These exercises deepen conceptual understanding of patterns in ones digits within the framework of modular arithmetic and number theory, solidifying students' skills in pattern recognition and exponent manipulation.
Skills you will learn include:
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