Elementary Mathematics

1. Use base ten blocks to show 23:You would use two longs and three units2. Use base ten blocks to show 174:You would use one flat, seven longs, and four units

1. Convert 24 base six to base ten:-Two longs and four units-The longs equal to six because we are in base six-Add 6+6+4-It is 16 base ten2. Convert 27 base nine to base ten:-Two longs and seven units-Add 9+9+7-It is 25 base ten

1. Convert 29 base ten to base seven:-Four longs and one unit-Each long equals to seven because we are in base seven -Add 7+7+7+7+1-It is 41 base seven

1. 36 base seven+24 base seven-Add one to 36 base seven-It now becomes 40 base seven+23 base seven-Answer is 63 base seven

Equal Addends:1. 63-35-Add 5 to each side-It becomes 68-40-Answer is 282. 42 base five-13 five-Add 2 to each side44 base five-20 base five-Answer is 24 base five

1. 2(4)Two groups of four-Draw two circles and put four dots in each circle-Answer is 82. Array Model:5(3)-Make five lines horizontally-Make three lines vertically-Count all the points where the lines cross-Answer is 153. What order should students learn to multiply?-We should teach 2's, 5's, and 10's first because students know how to skip count by those numbers so they will have an easier time learning to multiply these numbers. 1's are really easy because the answer is always the number that is being multiplied by the 1.4. Model Base Ten:13(12)-Use one long and three units going vertically-Use one long and two units going horizontally-Fill in the spaces with the appropriate blocks-Used one flat, five longs, and 6 units-Answer is 156

Friendly Numbers:1. 24+43+76+39+17-Combine numbers together-24 and 76, add 4 to 76 (becomes 20 and 80)-43 and 17, add 3 to 17 (become 40 and 20)-39 is left over-Now it is 20+40+80+39+20=199Expanded Form:1. 224+437-Break it down-200+20+4 + 400+30+7-600+50+11=661Trade Off:1. 46 base eight+ 25 base eight-Add 3 to 25 base eight to make it 30 base eight -43+30= 73 base eightLeft To Right: 1. 537+265-Stack them up 537+265--------- 700 90 12-The answer is 802Scratch:1. 23 six +15 six-You cross out the 5 and put a 2 next to it. This is because we are in base six.-You carry a 1 to the tens place because we only crossed out one number.-The answer is 42 base sixLattice:1. 256+897-Add the numbers together that are in the same place value2+8=105+9=146+7+13-A box is created under the problem, and you add the digits together that align-The answer is 1,153

Expanded Form:1. 46-12 40+6-10+2---------- 30+4-The answer is 34