Grade 7
71 Units, 172 Skills
Geometry - Circle Concepts - Intro
Unit 1
Geometry - Circle Circumference - Intro
Unit 2
Digits and Divisibility - Intro
Unit 3
Exponents - Practice
Unit 4
Percentages - Intro
Unit 5
Cartesian Grid Basics - Practice
Unit 6
Geometry - Angles and Transformations - Practice
Unit 7
Exponents - Multiplication - Intro
Unit 8
Probability and Statistics - Mean, Median, and Mode - Practice
Unit 9
Multiplication - 2 and 3 Digit
Unit 10
Measurement - Units Advanced - Metric
Unit 11
Probability and Counting - Single Event - Practice
Unit 12
Order of Operations - Practice
Unit 13
Factoring and Venn Factor Diagrams - Practice
Unit 14
Percentages - Tax, Tips, and Discounts
Unit 15
Speed, Distance, and Time - Practice
Unit 16
Area and Perimeter Complex Shapes
Unit 17
Rates and Ratios - Practice
Unit 18
Fraction Multiplication - Intro
Unit 19
Triangle Area - Practice
Unit 20
Squares and Square Roots - Practice
Unit 21
Algebra Basic Concepts - Intro
Unit 22
Factoring and Greatest Common Factor - Intro
Unit 23
Geometry - Circle Area - Intro
Unit 24
Decimal Multiplication - Practice
Unit 25
Factoring and Lowest Common Multiple - Intro
Unit 26
Fraction Addition and Subtraction - Practice
Unit 27
Scientific Notation - Intro
Unit 28
Fraction Comparing - Practice
Unit 29
Decimal Division - Practice
Unit 30
Fraction Addition and Subtraction, Mixed - Intro
Unit 31
Fraction Multiplication - Practice
Unit 32
Exponents - Division - Intro
Unit 33
Fractions and Decimals
Unit 34
Time - Elapsed Time - Advanced
Unit 35
Measurement - Units Large/Small Intro - Metric
Unit 36
Exponents - Advanced
Unit 37
Fractions, Decimals, and Percents
Unit 38
Order of Operations - Advanced
Unit 39
Factoring and Primes - Advanced
Unit 40
Scientific Notation - Practice
Unit 41
Exponents - Multiplication and Division - Practice
Unit 42
Algebra Basic Concepts - Practice
Unit 43
Geometry - Surface Area of 3D Shapes - Intro
Unit 44
Geometry - Volume of 3D Shapes - Intro
Unit 45
Rates and Ratios - Advanced
Unit 46
Probability and Counting - Single Event - Advanced
Unit 47
Measurement - Unit Conversion Practice - Metric
Unit 48
Patterning - Number Patterns Practice
Unit 49
Time - Elapsed Time, Negative - Advanced
Unit 50
Negative Integers - Intro
Unit 51
Division 3 by 2 Digit
Unit 52
Area and Perimeter Logic - Intro
Unit 53
Probability and Statistics - Counting and Probability Foundations
Unit 54
Factoring and Greatest Common Factor - Practice
Unit 55
Fraction Division - Intro
Unit 56
Geometry - Circle Area and Circumference - Practice
Unit 57
Geometry - Isosceles and Equilateral Triangles
Unit 58
Percentages - Practice
Unit 59
Digits and Divisibility - Practice
Unit 60
Cartesian Grid Geometry Logic - Intro
Unit 61
Pythagoras - Foundations
Unit 62
Decimal Multiplication - Advanced
Unit 63
Geometry - Intersecting, Parallel, and Perpendicular Lines
Unit 64
Percents and Simple Interest
Unit 65
Factoring and Lowest Common Multiple - Practice
Unit 66
Fraction Addition and Subtraction - Advanced
Unit 67
Squares and Square Roots - Advanced
Unit 68
Decimal Division - Advanced
Unit 69
Fraction Addition and Subtraction, Mixed - Practice
Unit 70
Factoring, Multiplication, Division, Fractions - Intro
Unit 71
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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