Using Friendly Numbers
Learning Goal: I will be able to solve problems involving the multiplication and division of numbers, using a variety of tools (e.g., concrete materials, drawings, calculators )and strategies
Success Criteria: I can..
- break numbers into tens and ones
- use mental math strategies to help me estimate
- multiply by 10, 100 and 1 000
- use order of operations
Multiplying Using the Distributive Property
Here's an example: multiply 17 101 using the distributive property.
- Simplify the numbers. In this example, 101 = 100 + 1, so: ...
- Split the problem into two easier problems. Take the number outside the parentheses, and multiply it by each number inside the parentheses, one at a time. ...
- Add the products.
a) 35 x 6
b) 22 x 10
c) 47 x 200
d) 53 x 1000
Can you come up with a rule when multiplying by 10s 100s and 1 000s? Explain.
Perfect Squares and Square Roots
Option 1: Draw a picture that would help someone compare 130 and 260
Option 2: Draw a picture that would help someone compare 121 and 484
Grade 7: Why might squaring a number and taking the square root of a number be thought of as opposite operations? Give an example to justify your answer. (Nelson Math pg. 25 #19
Grade 8: Owen calculated the square root of a number. Then he calculated the square root of the square root. His answer was 25. What was his original number? Explain your thinking? (Nelson Math pg. 31 #20
Order of Operations
128 divided by 2
Show your work!