Addition/Subtraction Stage 5 and 6
Solve the problems below. Try to use the strategy explained in the box above each question. Make sure you show all the steps you use to solve it.
Stage 5: Early Additive
I can work out the answer by using my basic facts
e.g. 8 + 7 is 8 + 8 – 1 (doubles) or
5 + 3 + 5 + 2 (fives) or 10 + 5 (making tens).
|
1. Sam had 8 lollies and Jackson had 7. How many have they got altogether?
8+7=15
8+8=16
16-1=15
Stage 5: Early Additive
I can solve problems by splitting them into parts , e.g. 100’s, 10’s, 1’s (partitioning)
e.g. 43 + 25 = (40 + 20) + (3 + 5) = 60 + 8 = 68 (standard partitioning)
|
2. Rosa went on a road trip. She cycled 63 kms on day one and on day 2 she cycled 149 kms. How many kms did she go over the two days?
149+63=212
140+60=200
9+3=12
200+12=212
Stage 5: Early Additive
I can solve addition problems by rounding one to a tidy number by compensation (taking some from the other number)
39 + 26 = (39 + 1) + (26 - 1) = 40 + 25 = 65 (rounding and compensation)
|
3. Ms Reader bought some new books for the school library. She bought 39 from one shop and 45 from another. How many books did she buy altogether?
39+45=84
30+40=70
9+5=14
70+14=84
Stage 5: Early Additive
I can solve subtraction problems by splitting numbers into parts instead of counting down. e.g. 84 – 7 as 84 – 4 =
80 – 3 = 77 (back through ten).
|
4. There were 72 students at the softball tournament but then 7 had to leave early. How many were left?
72-7=65
72-2=70
7-2=5
70+5=65
Stage 6: Advanced Additive
Estimate answers and solve addition and subtraction tasks involving whole numbers mentally by choosing appropriately from a broad range of advanced mental strategies
|
Stage 6: Advanced Additive:
I can solve subtraction problems by equal additions that turn one of the numbers into a tidy number. Also I can solve problems by equal subtractions.
e.g. 63 - 39 = (63 + 1) - (39 + 1) = 64 - 40 = 24, So 63 - 39 = 24
|
5. There are 152 houses in the street. 38 houses have garages the rest don’t. How many don’t have a garage?
152+38=190
38+2=40
152-2=150
150+40=190
Stage 6: Advanced Additive:
I can solve problems by splitting numbers into parts.
e.g., 324 – 86 = 324 - 24 = 300 – 62 = 238 (24 and 62 = 86)
(standard place value partitioning)
|
6. At Pepsi's school there are 243 students. 67 were born in different countries so how many were born here?
243-67=
243-3=240
67-3=4
240+4=244
Stage 6: Advanced Additive:
I can solve problems like 73 – 19 = by first subtracting a tidy number then adding a small number to get the answer.
e.g., 63 – 39 =
63 – 40 + 1 = 24 (rounding and compensating)
|
8. 133 cars were parked in the carpark then 89 left. How many cars are still in the carpark?
133-89=44
123-90=43 + 1= 44
I know that problems like 34 + __ = 51 and 51 - 34 = have the same answer. So for subtraction I can reverse the problem and then jump up tidy numbers on the number line to solve it, or jump up a tidy number then jump back.
or 63 - 39 = 39 + __ = 63
39 + 20 + 4 = 63 so 63 – 39 = 24 (reversibility)
|
9. 142 children are in Parklane School’s senior classes. Of those 66 got driven to school while the rest walked. How many walked?
142 - 66=
142-60=62
62+6=68
No comments:
Post a Comment