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Arithmetic, Algebra, and Operations with Decimals Course (Upper Elementary 9-12)
Welcome to the course!
Introduction and overview (1:46)
Module 1: Pre-Algebra
Overview of multiples and factors (1:45)
Finding the Multiples of a Number with the Bead Bars (6:30)
Finding the Common Multiples Between Two Numbers (8:46)
Commutative Law of Multiplication (3:27)
Commutative Law of Multiplication Printable
Associative law of multiplication (5:39)
Distributive Law of Multiplication (5:40)
Module 2: Decimals and operations with decimals
Decimals equation cards + Control of Error Charts Printable
Relating decimals to fractions (6:29)
Understanding how the whole is divided into tenth (2:52)
Overview of the decimals box with the value of the beads (3:31)
Visual representation of decimals with felt on the decimals board (4:02)
Building and Reading Numbers on the Decimal Board (4:42)
Static Addition with the Fractions Decimal Board (2:55)
Dynamic Addition with the Fractions Decimal Board (3:11)
Multiplication with the Fractions Decimal Board (one digit multiplier) (4:50)
Multiplication with the Fractions Decimal Board (Two digits multiplier) (15:06)
Multiplication with decimals on paper only without using materials (4:45)
Building the Decimal Checkerboard (15:36)
Reading numbers on the decimal checkerboard (5:23)
Multiplication with the Decimal Checkerboard (16:01)
Static Subtraction with Decimals (3:22)
Dynamic Subtraction with Decimals (2:58)
Module 3: Memorization of Multiplication Facts and Transition to Squaring
Decanomial Blank and Control Charts Templates
Multiplication Booklet
Building the Decanomial Square (Memorization of Multiplication Tables) (5:13)
Decanomial (Finding Perfect and Fixed Squares) (5:45)
Decanomial Algebraic Expression (9:15)
Numerical Decanomial (3:15)
Commutative Property with the Decanomial (4:35)
Module 4: Squaring
Introduction to squaring with the stamp game (3:31)
Squaring with the stamp game presentation 2 (6:50)
Analyzing the square (6:30)
Exponent (5:04)
The Binomial Formula (7:30)
Visual Representation of Binomial on Graph Paper (5:48)
Building the square of 24 using the binomial formula (9:52)
Building the Square of 24 on the Peg Board (8:17)
Building successive squares (5:04)
Building non-successive squares (4:37)
Representing Successive squares on graph paper (3:41)
Module 5: Cubing
Notation of Cubes (7:27)
Cubing a binomial starting from the square (13:57)
Moving from one cube to a successive cube (8:31)
Module 6: Division
Division with the stamp game one digit divisor (14:07)
Division with the stamp game two-digits divisor (10:43)
Division with the stamp game with remainder
Module 7: Divisibility
Divisibility Tables Printable
Divisibility by 2 (11:44)
Divisibility by 3 (9:21)
Divisibility by 4 (7:01)
Divisibility by 5 (5:05)
Divisibility by 6 (3:54)
Divisibility by 25 (3:56)
Divisibility by 11 concrete level (5:52)
Divisibility by 11 abstract level (2:46)
Module 8: Ratio and Proportion
Ratio and Proportion Printable Pack
Introduction to ratios (6:29)
Equivalent Ratios and Proportion (4:19)
Relating ratios to fractions with the fraction insets and Montessori peg board (7:37)
Means and Extremes (Proving the equality of a proportion) (4:17)
Proving if Two Ratios are Proportional Using the Peg Board (2:10)
Finding the Value of a Variable in a Proportion (6:52)
Solving a Ratio and proportion Math story using a template (12:14)
Rate and Unit Rate (7:11)
Module 9: Percentage
Introduction to Percentage (8:57)
Module 10: Integers
Integers Overview (1:44)
Walking the Number Line (4:39)
Comparing Integers (4:31)
Penalty Point Game (Additive Inverse Property of Integers) (6:59)
Practicing Integers with Money (7:24)
Arranging Integers in Ascending and Descending Order (3:26)
Adding Integers with Same Signs (Snake Game Presentation 1) (8:34)
Adding Integers with Different Signs (Snake Game Presentation 2) (13:30)
Multiplying Integers with Money (12:28)
Multiplying Integers with the Bead Bars Presentation 1 (3:20)
Multiplying Integers with the Bead Bars Presentation 2 (3:06)
Subtracting Integers (10:45)
Dividing Integers (3:03)
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Building the Decanomial Square (Memorization of Multiplication Tables)
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