Elementary Mathematics
(MTE 280 Fall 2019)

Four steps to solving problems:Understand what the problem isDevelop a solution Carry out a solutionLook back to see if it was rightOne to one correspondence: know how to count and then classifying an object as oneObject permanence: knowing how many objects are there without having to recount

14 nine --> ............. = 1323 seven --> ................. = 1716 eight --> .............. = 14When no base is written, it is considered to be base 10Convert 23 to base seven --> lll.. = 32sevenconvert 43 to base 5 --> ◼️lll... = 133five🔳 = cube◼️ = flat l = long. = unit

Convert to base 10:43 seven --> llll... = 31Solving base 10 conversions:4312six --> 4(6^3)+3(6^2)+1(6^1)+2(6^0) LLLLLeaving base 10:stranger things division8 l__37___ = 45eight 4 l 5 l

Left to right:358+296= 500+140+14= 654Trading off:8+5= 10+3= 137+9= 6+10= 16Scratch:count in the bases and when you reach the number that your base is, put a slash through the number. then you'll continue adding and count up all the slashes (hard to explain and it make sense since I know what I'm doing so I have to figure out how to add pictures because it won't let me)

Lattice multiplication (video)Equal add ins: Adding the same thing to both numbers to make it easier to subtract27-14 (add 3 to both) 30-17= 1355-38 (add 2) 57-40= 17expanded: 48-15= 40+8 - 10+5= 33friendly numbers:37+28= 35+30= 65Array: separated sporadicArea Model (video)

going to have to figure out how to add a document because I was trying to upload my review pages as a reference and it was not letting me do so

always need ENOUGH two sided counters when trying to add pairs to make a certain numbera zero pair is when a positive and a negative cancel each other outa zero bank is when you have multiple zero pairs (as many as needed)show -5 using 9: ++-------74(++) + -38(-)= 36since 74 is a bigger positive number it gets two signs and since 38 is negative and smaller it gets one sign. since they are opposite they subtract and the answer will be positive

if the first number is negative then you need a zero bankrules:1) if the signs are the same: +2) if the signs are different: -2(-3): two groups of 3 negatives-3(-1): take away 3 groups of 1 negative

what does the numerator and denominator mean?Numerator: number of pieces we haveDenominator: how big a piece is going to beanchor fraction: fraction we know that helps us figure out other fractions*never put a fraction over 1*

adding fractions uses 3 rectanglesone per fraction and then one for the answersubtracting fractions uses two rectanglesone to show both fractions and the other to show the answermultiplying fractions takes one rectanglecount only the sections in where they meet