# What's Happening In Math This Week

**Math 1**

This week we explored combinations to add to certain values. For example, 7 can be thought of as 0+7, 1+6, 2+5, 3+4 4+3, 5+2, 6+1, and 7+0. We saw how the Associative Property of Addition plays out with the order of addends, 4+3 = 3+4. We also looked at the big idea of compensation or give-and-take; if we start with 2+5, take one from the 2 and give it to the 5 we now have 1+6. This type of thinking will help us develop the give-and-take strategy later on when we might add 48+37 as 50+35 by taking 2 from 37 and giving it to the 48.

**Math 2**

This week we used a new context of parcels (boxes of 10 presents) and presents (1 unit) to solve story problems involving addition and subtraction of two-digit numbers. We also used number lines to represent our thinking.

**Math 4**

This week we continued to explore equivalent fractions. We are spending a significant amount of time on developing equivalent fractional relationships, much the same way we spent our early years building additive relationships in single digit numbers (see the Math 1 paragraph above). We want to develop the sense that 1/2 = 2/4 = 8/16, or 2/3 = 8/12 = 4/6.

**Math 5**

This week we used ratio tables to multiply decimal and fractional amounts. We watched a __video__ about Pascal's Triangle and the resulting patterns.

**Ravens**

This week we finished the unit Comparing Quantities. We can now solve systems with three variables. We have several models that we can use:

combination chart (2 variables)notebook notation (2 or more variables)equations.

We also are well versed in the different strategies of scaling up/down and adding/subtracting equations to find a unit rate. We also use substitution once we know a unit rate to find the other variables.