Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept. 

Learning how numbers are put together as parts and wholes is a big step in building the foundational number sense of young mathematicians. Here, children are given a number less than 10 and are asked to find as many pairs of numbers as...

In this addition practice worksheet, students solve 18 problems that require them to add 1 or 2-digit numbers to 1-digit numbers with sums up to 20. A number line is provided.

Challenge the addition skills of young learners with this open-ended math problem. The task is simple, get from start to finish by connecting a series of three numbers. The trick is that the sum of the numbers must be less than...

Intended for learners with autism and developmental disabilities, this instructional activity uses the strategy of counting-on to enhance independent shopping skills. Learners will practice counting on to the next dollar value in order...

What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...

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.

Sometimes dealing with decimals is so much easier than dealing with fractions. The ninth lesson in a 21-part module has the class consider situations when it might be easier to add or subtract fractions by first converting to...

Students exercise rounding numbers to the nearest tens, hundreds, and thousands. In this rounding numbers lesson, students participate in a rounding numbers activity, covering the concept of rounding in both addition and subtraction.

Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...

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 lesson presents linear equations that scholars must...

Students explore counting methods of the ancient Maya, and practice identifying Maya number glyphs.

What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions,...

Breathe some new life into charcoal. Scholars use biochar to improve soil fertility. They test the effectiveness of this addition by conducting an experiment with soil having 0%, 2%, and 4% biochar.

Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth instructional activity of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to...

In this addition worksheet, students find the sums to 35 single digit, vertical addition problems in which 0 is an addend. They add the numbers 1 through 9 to 0.

For this addition worksheet, young scholars solve a total of 35 problems, using numbers 0-9; a separate link is included for answers.

In this practice worksheet, students use integer rules to add, subtract, multiply and divide real numbers. This two-page worksheet contains 48 problems.

Mathematics aces, after a warm-up activity with some easy calculations, practice solving rules of signs and powers of 10 equations. Multiplying and dividing decimals is also covered within this lesson in depth. A variety of examples and...

Put the graph into graphing and allow learners to understand the concept of point plotting and how it relates to data. The worksheet provides a nice way to connect data analysis to a graph and make predictions. The worksheets within...

An allowance is an important thing! Make sure your kids know how to save and spend their own money. Using the book The Case of the Shrunken Allowance as a starting point, this plan covers income, spending and saving, counting, and more.

What does it cost to keep the lights on? Through a hands-on activity, class members use a watt meter and determine the amount of energy different types of light bulbs use. The class then determines the financial and environmental...

Challenge young mathematicians' understanding of squares with this geometry puzzle. The task is simple, identify as many squares as possible in a 3x3 array. Allow learners to work independently or in pairs as they search for squares,...

Seventh graders examine the characteristics of an integer. As a class, they observe a number line and recognize opposite numbers. Algebra tiles, or counters, are used to explore the concept of adding integers. In groups, 7th graders play...