CK-12 Foundation
Direct Variation: Value of a Painting
Help your pupils find a pattern of direct variation. Young scholars use input-output pairs to find a constant of variation and then write the equation. As they build their equations, the interactive lesson provides feedback.
CK-12 Foundation
Applications Using Linear Models: Scuba Diving
Dive into this resource on rates of change and linear models. Pupils use two sliders in an interactive to adjust water temperature and depth. They use a given linear equation to calculate the rate of change in water temperature per unit...
CK-12 Foundation
Solving Real-World Problems Using Multi-Step Equations: Bowling Ball Delivery
How many bowling balls can a truck carry? A slider interactive changes the weight of boxes and the number of bowling balls per box. Investigating with this slider lets users find the maximum number of bowling balls.
CK-12 Foundation
Two-Step Equations with Addition and Multiplication: T-Shirt Equation
Interactive bar models make solving equations fairly easy. Scholars use an interactive to adjust a bar model representing an equation. This model helps solve the equation.
CK-12 Foundation
Evaluate Expressions with One or More Variables: Water Bottle Expression
Fill your mind as you fill virtual water bottles. Pupils use an interactive to find the amount of water that can fit in given containers. Writing and evaluating an algebraic expression helps with this task.
Curated OER
Building Your Space Station
Students discuss the benefits of the International Space Station. They evaluate the challenges the designers faced when trying to design the space station. Students discuss the use of scale models when designing large structures and...
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Curated OER
Counting by Grouping Objects
Kids can count to 100 by 2's, 5's, and 10's, it's called counting by grouping. They are presented with a variety of counting tasks, they count each set of objects by 10's, 2's and 5's then discuss which method was quickest. A challenge...
Curated OER
Dividing by Multiples of Positive Powers of Ten (D): Single-Digit Facts
Used as a review activity or as a math drill, this worksheet can help students to further practice dividing by powers of ten. Students are given 10 numbers that they are to divide by given multiples in the format x, x0, x00, x000,...
Chapman University
Fundamental Theorems of Mathematics
There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are true.
Inside Mathematics
Two Solutions
Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...
Inside Mathematics
Patterns in Prague
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...
EngageNY
Solving Equations with Radicals
Show learners how to develop a procedure for solving equations using radicals with the fifth instructional activity of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations....
Curated OER
Dividing by Multiples of Positive Powers of Ten (C): Single-Digit
Students can practice their positive powers of ten in this worksheet, in which they are given 10 numbers to divide by a set of multiples in the format x, x0, x00, x000, x0,000. A challenge question is available to further test your...
Inside Mathematics
Circles in Triangles
Challenge the class with inscribed circles in triangles. The assessment task requests class members use their knowledge of circles and right triangles to prove two triangles are congruent. They go on to utilize their knowledge of...
EngageNY
Part of a Whole as a Percent
Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...
Curated OER
How Much is it Worth?
Money makes everything a little more fun for your mathematicians! Show them how they can implement their addition skills in the real world using this worksheet. Scholars examine six sets of coins, which are photographed. They include...
Houghton Mifflin Harcourt
Write and Evaluate Algebraic Expressions
Once your math class is adept at writing expressions, challenge them with a few word problems! There are six real-world scenarios for which learners must come up with a representative variable expression. Take CCSS.Math.Content.6.EE.2.a...
EngageNY
Informal Proofs of Properties of Dilations
Challenge the class to prove that the dilation properties always hold. The instructional activity develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member...
EngageNY
First Consequences of FTS
Challenge the young mathematicians to find the exact coordinates of a dilated point. The fifth segment in a 16-part series introduces the class to the converse of the Fundamental Theorem of Similarity. Scholars use the theorem to find...
EngageNY
Association Between Categorical Variables
Investigate associations between variables with two-way tables. Scholars continue their study of two-way tables and categorical variables in the 15th installment of a 21-part module. The lesson challenges them to calculate relative...
EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the equation...
EngageNY
The Pythagorean Theorem
Class members explore the estimation of irrational numbers in association with the Pythagorean Theorem. The first lesson of this module challenges pupils to use the Pythagorean Theorem to find unknown side lengths. When the length is not...
EngageNY
Graphs of Quadratic Functions
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.