How many apples is less than five? Each of these problems has two images, one with quantifiable details and one without (i.e. a tree with apples and an empty tree). Answers will vary as young counters draw objects onto the second image...

Which image has four fewer? There are three sets of objects here which introduce subtraction concepts to beginning mathematicians (although the word subtraction and its symbol do not show up here). They count the number of...

As young scholars begin connecting numbers with values, help them grasp this concept with sets of objects like these. They examine five sets (up to 15 in number) and match each to a corresponding digit. Then, they draw a set of their own...

You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...

Here are a few opportunities for youngsters to hone their number skills by counting and quantifying objects, tracing numbers, and translating word-form numbers into numerical form. There are four questions here providing practice with...

Break up multiplication into more easily conceptualized math operations. Scholars first examine an array of apples and write a multiplication sentence to represent it. Then, they determine which of four sets of addends is equivalent to a...

Use these missing-addend problems to help your beginning mathematicians practice addition facts. They read sentences and solve, making 10 from different single-digit numbers. Each of these four problems is formatted differently, so the...

One is chance, two is a coincidence, three's a pattern. Scholars must determine similarities and differences of a regular hexagon undergoing dilation. They look at lengths, angles, areas, and symmetry.

Define the sharpest in the group. Given a section of a trail map, pupils determine a method to measure the sharpness of each turn in the path. Individuals then determine what modifications to their formulas to make to find the sharpness...

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

Here is a (great) lesson on using parentheses! The task requires the expression of ages using algebraic expressions, including the distributive property. Pupils use their expressions to determine the individual ages.

Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...

Analyze data on a graph to answer three questions after a robot race. Learners practice comparing ratios and reading points on a graph. Answers may vary on the last question based on accuracy of graphing. Use the lesson along with...

In this asteroid and comet activity, students read about the formula used to determine the brightness of asteroid. They apply this formula to solve 2 problems about asteroids and their brightness.

In this energy in empty space worksheet, students use an equation for Cosmic Inflation to solve eight problems. They find the domain and range of the function of the equation, they determinethe axis of symmetry, they find the critical...

In this shopping center worksheet, students use exponential and linear models to complete word problems about a shopping center. Students complete 6 problems.

Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios...

In this Algebra II worksheet, 11th graders examine models whose behavior can be described by a linear function.  The four page worksheet contains explanation of topic, three guided problems, and eight practice problems. ...

In this thirteen page worksheet, students solve four sets of exercises concerned with hypothesis testing.  A hypothesis testing summary is provided.