Hi!   Here's some stuff many would consider unusual including:  digital manipulatives,  Sketchpads,  spreadsheets,  web pages, and, the things you can do with them.   The purpose of this page is to list the stuff so it may be presented in a video.   pdf of page         video of page

Table of Contents & Video Times Pre-K 0:41-- Play the "Sum Thing Else Game," just find a match, keep the cards and go again   Elementary School - Arithmetic 3:04 -- Add and subtract fractions, decimals, integers, on a nomograph 5:19 -- Add and subtract fractions with multiple strips and fraction bars 9:42 -- Verify a 1/4-bar with another 1/4-bar have the same length as a 1/2-bar.     -- Find “manipulatively” a fraction greater than 1/4 but smaller than ½ and verify the size through decimal approximation 12:04 -- Show me 35 cents. Show me 35 cents in another way   Middle School - Pre Algebra 13:54 -- Divide the circle to compute its area 21:22 -- Reinforce mental computation and words like multiple, reciprocal, cube, double, and prime   High School - Algebra, Geometry, Algebra II, Statistics, Trig 29:45 -- Make multiples of x+2 to represent 2(x+2) and x(x+2) and (x+2)^2 and     -- Simplify algebraic expressions and solve equations using tiles and tokens 39:15 -- Run vertical and horizontal line tests and     -- Analytically take an inverse 43:34 -- With a Connect-the-Dots, Find Sides & Angles of a Right Triangle   Precalc 44:01 -- Curve shift/ translate many functions 50:27 -- Determine if two angles are coterminal and     -- Define standard position 51:32 -- Build a polynomial or rational function 56:22 -- Assemble a Unit Circle jigsaw puzzle 58:48 -- Add vectors   Calc I 1:02 -- Take a limit by approaching and Take a derivative by definition 1:09 -- Label a graph with function emojis< Mean Value Theorem, Rolle's Theorem 1:22 -- Graph the sin(x) and its 1st, 2nd, 3rd, and 4th derivatives using trace 1:26 -- Examine angle of elevation/depression and ladders with h(x), y(x), h(y), x(y), and h as variable, and h as a constant 1:30 -- Compute an Antiderivative by Reimann Boxes   Extracurricular 1:43 -- Play addition rummy with a deck of cards 1:44 -- "Roll" a die or pair of dice   History 1:45 -- Hold a shekel in your hands 1:46 -- Move an abacus very slowly 1:48 -- Use Napier's bones to multiply

Pre-K Play the "Sum Thing Else Game," just find a match, keep the cards and go again. The player with the most matches wins the game. Play with mathnstuff.com/papers/games/sumelse.xls

Elementary School - Arithmetic Add and subtract fractions, decimals, integers, on a nomograph, with mathnstuff.com/math/spoken/here/2class/130/nomogrf/nomogrf.xls See: Nomographs for Whole, Fraction, Decimal, and Signed Numbers - instructions, and masters   Add and subtract fractions with multiple strips and fraction bars, with mathnstuff.com/math/spoken/here/2class/60/strips.xls See: Multiple Strips & Fraction Bars (Includes Instructions, masters)   Verify a 1/4-bar with another 1/4-bar have the same length as a 1/2-bar. Find “manipulatively” a fraction greater than 1/4 but smaller than ½ and verify the size through decimal approximation, with /fract.xls   Show me 35 cents. Show me 35 cents in another way with mathnstuff.com/math/spoken/here/2class/70/70coins/coins.xls

Middle School - Pre Algebra Divide the circle to compute its area, with mathnstuff.com/math/spoken/here/2class/150/areaf.xls See: Area Formulas by Paper Cutting (Includes Written Instructions) See: Area Cirlce Formulas by Paper Folding (Includes Masters)   Reinforce mental computation and words like multiple, reciprocal, cube, double, and prime with mathnstuff.com/papers/games/42.xls See: A Game for Two Players (Includes Masters)

High School - Algebra, Geometry, Algebra II, Statistics, Trig Make multiples of x+2 to represent 2(x+2) and x(x+2) and (x+2)2 and Simplify algebraic expressions and solve equations using tiles and tokens, with mathnstuff.com/math/algebra/tt/create.xls See: Term Tiles & Tokens (Includes The Entire Text Including Masters & Other Digital Manipulatives)   Expand (x+y)3, with mathnstuff.com/algebra/tt/tiles.xls Term Tiles & Tokens (Includes The Entire Text Including Masters & Other Digital Manipulatives)   Run vertical and horizontal line tests and Analytically take an inverse with mathnstuff.com/math/gsp/sumr19/su19newgsp/inverse.gsp   With a Connect-the-Dots, Find Sides & Angles of a Right Triangle & a Reward for Hot Work with mathnstuff.com/papers/condots/cool.htm See: Connect-the-Dots Puzzles - arithmetic through calc I

Precalc Curve shift/ translate many functions with mathnstuff.com/math/gsp/sumr19/su19newgsp/parentFX2.gsp See: Exploring Functions - Entire Book & Concrete Masters   Determine if two angles are coterminal and Define standard position with mathnstuff.com/math/gsp/sumr19/su19newgsp/standardPosition.gsp See: Geometer's SketchPads - Dozens w/ Content from arithmetic through calc I   Build a polynomial or rational function with mathnstuff.com/math/gsp/sumr19/su19newgsp/compositeFx.poly.ratl.gsp   Assemble a Unit Circle jigsaw puzzle with mathnstuff.com/math/spoken/here/2class/330/gif/jig1.xls   Add vectors, with mathnstuff.com/math/spoken/here/2class/330/polrect.xls

Calc I Take a limit by approaching and Take a derivative by definition with mathnstuff.com/math/gsp/sumr19/su19newgsp/limit.gsp See: Limit Function - Take the limit as x approaches ... -- Resources, Images, Instructions   Label a graph with function emojis with mathnstuff.com/math/spoken/here/2class/420/critical.htm See: Function & Graph Analysis & Emojis 1st & 2nd derivatives, concavity, derivative   Graph the sin(x) and its 1st, 2nd, 3rd, and 4th derivatives using trace with mathnstuff.com/math/gsp/sumr19/su19newgsp/DerAnyFx.gsp   Examine angle of elevation/depression and ladders with h(x), y(x), h(y), x(y), and h as variable, and h as a constant with mathnstuff.com/math/gsp/sumr19/su19newgsp/elevation.gsp   Compute an Antiderivative by Reimann Boxes mathnstuff.com/math/gsp/sumr19/su19newgsp/ReimannSums.gsp See: Reimann Boxes & Sums, Integration & Teacher's Manual

Extracurricular Play addition rummy with a deck of cards, with mathnstuff.com/papers/games/deck.xls   "Roll" a die or pair of dice, with mathnstuff.com/papers/games/dice.xls

History Hold a shekel in your hands, with mathnstuff.com/math/xls/hands.xls   Move an abacus very slowly, with mathnstuff.com/math/spoken/here/2class/40/40abacu/abacus.xls With history/animation at The Abacus See: Ancient Computing Devises Used Digitally - Fingers & Talley Sticks to Tokens & Coins to Banks to Abacuses to Napier's Bones Slide Rules   Use Napier's bones to multiply with Napier's Bones Digital Manipulative With instructions with mathnstuff.com/math/spoken/here/2class/60/nbones.htm

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