A complete unit with direct instruction to the student, ample practice problems and word problems. Common Core aligned. Great for independent practice/homework.
The unit Addition, Subtraction, and Problem Solving, Grade 4 covers addition and subtraction topics, problem solving, patterns, graphs, and money.
First, we review the “technical aspects” of adding and subtracting: mental math techniques and adding and subtracting in columns. We also study some patterns. The lesson on Pascal’s triangle is intended to be fun and fascinating—after all, Pascal’s triangle is full of patterns!
In the next lesson, we study the connection between addition and subtraction and bar models. Bar models help students write addition and subtraction sentences with unknowns, and solve them. This is teaching the students algebraic thinking: how to write and solve simple equations.
The lesson on the order of operations contains some review, but we also study connecting the topic with real-life situations (such as shopping). Here, the student writes the mathematical expression (number sentence) for word problems, which again, practices algebraic thinking.
Going towards applications of math, the unit then contains straightforward lessons on bar graphs, line graphs, rounding, estimating, and money problems.