standard_description: Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
problem_activity: Problem 1
a.   Ms. Britton bought a bottle of water at Stop and Shop. She didn’t have any cash so she wrote a check to pay for it. How should she write the cost in the red box?
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b.   Use similar reasoning to write the following values in standard and expanded form.
Four thousand nine and seventy-three thousandths
Thirty-five and six hundred eight thousandths
Problem 2
Write each of the following in expanded and word form.
a.   25.403
b.   1,028.04
c.   9.795
Problem 3
Write each of the following in standard and word form.
a.
$${\left(4 \times 100\right) + \left(5 \times {1\over100}\right) + \left(9 \times {1\over1,000}\right)}$$
b.
$${ 1 \times 10 + 3 \times 1 + 4 \times 0.1 + 7 \times 0.01}$$
c.
$${\left(2 \times {1\over10}\right) + \left(0\times {1\over100}\right) + \left(8 \times {1\over1,000}\right)}$$


aligns: no