Sew up learning on writing rules for patterns with an assessment task that has pupils investigate the number of triangles needed for cushions of different sizes. They then use the data to generate a rule for a cushion of any size.

Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...

Determine the location of a point on a moving wheel. The task challenges groups to determine the horizontal and vertical locations of a point on the edge of wheel that is moving. Teams first determine a function that will model the...

Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.

Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...

Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...

Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...

Knowing how to scale a recipe is an important skill. Young mathematicians determine the amount of ingredients they need to make a certain number of truffles when given a recipe. They determine a relationship between ingredients given a...

Sew up your unit on operations with decimals using this assessment task. Young mathematicians use given rules to determine the amount of fabric they need to sew a pair of pants. They must also fill in a partially complete bill for...

Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...

Give the class a mental work out with an assessment task in which young mathematicians compare several gym membership options. They use substitution to calculate the cost for given numbers of months.

These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...

A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction...

Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...

Create rules for numerical sequences. Pupils develop local rules and recursive rules for number sequences. The sequences are linear, quadratic, and cubic in nature. Scholars find that some local rules do not work, no matter where in...

Scholars learn how to write number theory proofs by viewing a video reviewing techniques for proofs on divisibility, parity, and consecutive integers. They then write proofs for a handful of conjectures on a instructional activity.

The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...

In critiquing someone else's theory, learners share insight into their own understanding of mathematical concepts. Fifth graders will explore the notion that products are always larger than their factors. While this statement is...

Exploring functions not represented by an expression is this task's secret. As your learners organize business customers in a database, they explore the definition of what it is to be a function. 

Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data...

Parentheses are an important tool in the algebraic toolbox in regard to the structure of the algebraic equation. They are the beginning of the standard order of operations rule, the P in PEMDAS. The central question...

Students practice multiple-choice problems with factors and divisibility.

Practice evaluating these algebraic expressions. Read the interactive quiz rules and then click on the "Begin" ticket. If you answer incorrectly you get one more chance to try again then you are told the correct answer. See how many...

A review of the rules of simplifying expressions that contain multiple positive and negative signs. An online worksheet is available for practice.