The ninth part in a 25-part series emphasizes the importance of using properties of operations in evaluating sums and differences of rational numbers. Pupils solve problems and provide justifications for each step.

Apply properties of operations to work with mixed numbers. The first of two lesson plans that focus on properties of operations works with mixed numbers and converting opposites of sums. Pupils work with properties of operations to break...

Three tables, prepared for learners to write notes about the properties of real numbers, are squeezed onto one printable. The addition and multiplication of real numbers are the focus of the notes.

Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The activity presents linear equations that scholars must...

Help learners get their facts in line to build and solve complicated linear equations and inequalities. Pupils build upon their knowledge of solving basic equations and inequalities to solve more complex ones. Individuals work with...

Use a tape diagram to emulate the steps of solving equations. The 23rd installment in a 25-part unit presents two-step linear equation problems to solve. Pupils use tape diagrams to solve the problems along with linear equations. To...

Pairs with the same sum of integer cards verify the addition and subtraction properties of equality by adding and subtracting like cards to each hand. They also justify the multiplication and division properties of equality using...

Hands-on learning in math is essential to all learners, especially youngsters. In a math learning activity, young mathematicians use dominoes in order to discover the commutative property of addition. Fact families and doubles facts can...

The second lesson in a series of 25 shows the class how to use arrows and a number line to add integers. Learners apply their knowledge of the commutative property and absolute value in their explanations. Classmates play the integer...

To commute or not to commute, that is the question. The 26th segment in a 32-segment lesson plan focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...

A five-question interactive provides a horizontal number line where integers are stacked on top of one another to find solutions of addition problems. Mathematicians move numbers to the numbers line, as numbers build higher, the sum of...

What do Sherlock Holmes and geometry have in common? Why, it is a matter of deductive reasoning as the class learns how to justify each step of a problem. Pupils then present a known fact to ensure that their decision is correct.

An addition table supports third graders as they learn strategies to improve their math fluency. When finding sums greater than ten, students are taught how to first make a ten and then add on the rest. A similar method is also...

Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...

Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other...

Investigate the various properties of the number six with this elementary math lesson. From simple addition, subtraction, multiplication, and division problems to the creation of hexagonal tessellations, this lesson covers all aspects of...

Use a learning activity with your youngsters in order to establish an understanding of patterns in a small addition table. Help learners recognize that adding two odd numbers will produce an even number, and adding two even numbers will...

From the apple on your desk and the coffee cup in your hand, to the cabinets along the classroom wall, basic three-dimensional shapes are found everywhere in the world around us. Introduce young mathematicians to the these common figures...

Solving a murder is like isolating a variable. Using a video on a murder mystery, the narrator introduces the idea of solving a literal equation for one variable. After solving several equations, the class comes up with a set of...

Investigate the case of two negatives making a positive. Pupils fill in a quadrant system to generate the products of integers. They analyze the quadrants to find patterns and relationships to help complete the table values. The teacher...

Develop multiplication skills with your class. Youngsters will visualize multiplication as repeated addition. Then they will create a multiplication bug book and discover arrays as a strategy for multiplication problem solving....

Students practice mental addition and use the associative and commutative properties of addition to solve problems.

Pupils develop expressions to describe the total number of sides on an unknown number of rectangles and triangles. Expressions contain multiplication, addition, and parentheses.

Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...