Illustrative Mathematics
Foxes and Rabbits 2
The fox population chases the rabbit population. Groups model the populations of foxes and rabbits with two trigonometric functions. Individuals graph both trigonometric models on the same graph, and then teams determine an explanation...
Illustrative Mathematics
As the Wheel Turns
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...
Illustrative Mathematics
Carbon 14 Dating in Practice I
How old is the plant? Here is a task that presents the exponential decay function for carbon 14 in a plant. Pupils use the function to estimate the amount of carbon 14 in the plant when it died and analyze the function to find what the...
Illustrative Mathematics
Exploring Sinusoidal Functions
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Illustrative Mathematics
Coordinates of Equilateral Triangles
Can it be constructed? The task poses the question whether it is possible to have an equilateral triangle with its vertices located at integer coordinates. Pupils work with their knowledge of trigonometric ratios and the Pythagorean...
Illustrative Mathematics
Bank Account Balance
Represent the ups and downs of a bank account. The two-part task points out that some types of graphs may better show discrete functions than others. Pupils analyze a graph on how well it represents the situation. They develop their own...
EngageNY
Mid-Module Assessment Task: Grade 7 Module 2
A seven-question assessment determines how well your learners understand the procedures to add, subtract, multiply, and divide signed rational numbers. Pupils show their understanding through problem-solving situations.
EngageNY
An Exercise in Creating a Scale Drawing
Design your dream classroom. The lesson plan contains an exercise to have teams create a scale drawing of their dream classroom. Pairs take the measurements of their classroom and furniture and create a scale factor for them. To finish...
Mathed Up!
Negative Scale Factor
Class members investigate the effect of a negative scale factor dilation on coordinate shapes as they watch a short video that shows an example of a geometric figure undergoing a dilation with a negative scale factor. Learners then try a...
Mathed Up!
Upper and Lower Bounds
Investigate how rounding affects values. Individuals watch a video about how to find the highest and lowest possible numbers that result in a given value when rounded to a certain place value. They finish by completing a instructional...
Mathed Up!
Fractional and Negative Indices
Explore how to deal with fractional and negative exponents. Scholars watch a video reviewing fractional, zero, and negative exponents. After the video, they test their skills by completing a worksheet covering the concepts.
Mathed Up!
Inequalities Regions
Discover how to solve systems of inequalities by graphing. An informative video shows pupils how to determine the solution set after graphing each inequality of a system. To finish, a learning exercise gives them a chance to practice...
Mathed Up!
Solving Quadratics by Factorising
Young mathematicians view a video on solving quadratic equations by factoring. They use this skill to complete a activity of practice problems — a great way to gauge understanding!
Mathed Up!
Standard Form
Be sure your young mathematicians can work with scientific notation. Scholars first watch a video to review scientific notation. They then complete a worksheet requiring conversions and operations with scientific notation.
Illustrative Mathematics
Foxes and Rabbits 3
Model periodic populations. Here, in the context of foxes and rabbits, pupils look at graphs of the populations of these animals in a national park over a span of 24 months. Groups analyze the graphs and determine trigonometric functions...
Illustrative Mathematics
Identifying Quadratic Functions (Vertex Form)
Pupils calculate the equation of a quadratic in vertex form from a specific graph and determine an equation that would fit the description of a parabola. The final question determines the individuals' understanding of the signs of the...
Illustrative Mathematics
Medieval Archer
Class members determine the distance a video game character must move to shoot an arrow over a castle wall. Players determine the new equation to enter to represent the trajectory of the arrow and find all the distances the character can...
Illustrative Mathematics
Sum and Difference Angle Formulas
Need practice deriving trigonometric angle formulas? With this worksheet, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and other known...
Code.org
Practice Performance Task - Security and Hacking in the Real World
Young computer scientists create a visual artifact that represents their research into a computing innovation in the world of cybersecurity. They then work individually to write an essay on the impact of technology on cybersecurity.
EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of tiles...
Balanced Assessment
L to Scale
Explore the meaning of scale in relation to actual size through this activity. Young mathematicians examine scale models and determine their relationship to each other. They also find perimeter and area of each model.
Balanced Assessment
Compact-Ness
Creating a definition may be easier than it sounds! Give your classes experience creating their own definition. Scholars examine the meaning of the compact-ness of a scatter plot and create their own definitions based on measurements.
Balanced Assessment
Transformation II
Develop a solid understanding of the manipulation of expressions to produce equivalent expressions. Given an expression, pupils rearrange it to create a new one. Their new functions must match the structure of the model expressions.