22) Use number bonds and "making tens" strategy together to show two different ways to find the sum 3. Explain which property allows us to do this.

Find the sum 32+33+34+35+...+122+123.

* Try doing this puzzle. It should take 15 moves) Six counters - three black and three white - are place on a grid of seven squares White counters move left to right, either by osliding into a vacant space or jumping over one oblack counter into a vacant space. *Black counters move right to left, either by sliding into a vacant space or jumping over one 3 white counter into a vacant space. Explain the sequence of moves to reverse the positions of the two sets of counters.

Take a sequence of diagrams and imagine building each diagram from matchsticks, like the one shown below (the length of each matchsticks is 1 unit). First diagram Second diagram Third diagram a) If possible, use at least two visual strategies to determine how many matchsticks are needed to make the nth diagram. Do not simplify your answers. Explain your visual strategies. If possible, color each component of the expression that represents the solution to the problem using a different color. b) If possible, use at least two visual strategies to determine the perimeter of the nth diagram. Do not simplify your answers. Explain your visual strategies. If possible, color each component of the expression that represents the solution to the problem using a different color.