Grade 8
74 Units, 203 Skills
Geometry - Angles and Transformations - Practice
Unit 1
Probability and Statistics - Mean, Median, and Mode - Practice
Unit 2
Measurement - Units Advanced - Metric
Unit 3
Speed, Distance, and Time - Practice
Unit 4
Area and Perimeter Complex Shapes
Unit 5
Triangle Area - Practice
Unit 6
Fraction Multiplication - Practice
Unit 7
Exponents - Division - Intro
Unit 8
Measurement - Units Large/Small Intro - Metric
Unit 9
Exponents - Advanced
Unit 10
Fractions, Decimals, and Percents
Unit 11
Order of Operations - Advanced
Unit 12
Factoring and Primes - Advanced
Unit 13
Scientific Notation - Practice
Unit 14
Exponents - Multiplication and Division - Practice
Unit 15
Algebra Basic Concepts - Practice
Unit 16
Geometry - Surface Area of 3D Shapes - Intro
Unit 17
Geometry - Volume of 3D Shapes - Intro
Unit 18
Rates and Ratios - Advanced
Unit 19
Probability and Counting - Single Event - Advanced
Unit 20
Measurement - Unit Conversion Practice - Metric
Unit 21
Patterning - Number Patterns Practice
Unit 22
Negative Integers - Intro
Unit 23
Division 3 by 2 Digit
Unit 24
Area and Perimeter Logic - Intro
Unit 25
Probability and Statistics - Counting and Probability Foundations
Unit 26
Factoring and Greatest Common Factor - Practice
Unit 27
Fraction Division - Intro
Unit 28
Geometry - Circle Area and Circumference - Practice
Unit 29
Geometry - Isosceles and Equilateral Triangles
Unit 30
Percentages - Practice
Unit 31
Digits and Divisibility - Practice
Unit 32
Cartesian Grid Geometry Logic - Intro
Unit 33
Pythagoras - Foundations
Unit 34
Decimal Multiplication - Advanced
Unit 35
Geometry - Intersecting, Parallel, and Perpendicular Lines
Unit 36
Percents and Simple Interest
Unit 37
Factoring and Lowest Common Multiple - Practice
Unit 38
Fraction Addition and Subtraction - Advanced
Unit 39
Squares and Square Roots - Advanced
Unit 40
Decimal Division - Advanced
Unit 41
Fraction Addition and Subtraction, Mixed - Practice
Unit 42
Factoring, Multiplication, Division, Fractions - Intro
Unit 43
Exponents - Multiplication and Division - Advanced
Unit 44
Unit Conversion - Intro
Unit 45
Geometry - Circle Area, Sectors and Donuts - Intro
Unit 46
Patterning - Number Patterns Advanced
Unit 47
Measurement - Units Large/Small Practice - Metric
Unit 48
Geometry - Surface Area of 3D Shapes - Practice
Unit 49
Exponents - Power Law - Intro
Unit 50
Factoring and Greatest Common Factor - Advanced
Unit 51
Algebra Manipulating Variables - Intro
Unit 52
Geometry - Cylinders - Intro
Unit 53
Probability and Statistics - Counting and Probability Practice
Unit 54
Percentages - Advanced
Unit 55
Measurement - Unit Conversion (Very Large and Small) Intro - Metric
Unit 56
Speed, Distance, and Time - Advanced
Unit 57
Ratios of Lengths - Intro
Unit 58
Cartesian Grid Geometry Logic - Practice
Unit 59
Area and Perimeter Logic - Practice
Unit 60
Slope - Intro
Unit 61
Algebra Basic Concepts - Advanced
Unit 62
Factoring and Lowest Common Multiple - Advanced
Unit 63
Probability and Statistics - Mean, Median, and Mode - Advanced
Unit 64
Geometry - Volume Logic with 3D Shapes - Intro
Unit 65
Scientific Notation - Multiplication and Division - Intro
Unit 66
Pythagoras - Intro
Unit 67
Negative Integers - Practice
Unit 68
Speed, Distance, and Time Logic Challenges - Intro
Unit 69
Factoring, Multiplication, Division, Fractions - Practice
Unit 70
Cartesian Grid Distance - Intro
Unit 71
Probability and Statistics - Factorial Form Intro
Unit 72
Pythagorean Triples - Intro
Unit 73
Exponents - Power Law - Practice
Unit 74
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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