Lesson Plan
Illustrative Mathematics

Weather Graph Data

For Teachers K - 2nd Standards
Teaching young mathematicians about collecting and analyzing data allows for a variety of fun and engaging activities. Here, children observe the weather every day for a month, recording their observations in the form of a bar graph....
Lesson Plan
Illustrative Mathematics

Telling a Story With Graphs

For Teachers 9th - 12th Standards
Turn your algebra learners into meteorologists. Students are given three graphs that contain information about the weather in Santa Rosa, California during the month of February, 2012. Graph one shows temperatures, graph two displays the...
Assessment
1
1
Balanced Assessment

A Run for Two

For Students 11th - 12th Standards
Develop a graph to represent the distance between two cars. The assessment task presents a scenario in which two cars are traveling at constant speeds with one faster than the other. Pupils develop graphical representations to show the...
Assessment
1
1
Balanced Assessment

Cost of Living

For Students 9th - 12th Standards
Math scholars investigate the cost of living in Hong Kong compared to Chicago but must first convert the different types of currency. They then choose a type of graph to compare different spending categories and finish the activity by...
Assessment
Concord Consortium

Rational and Not So Rational Functions

For Students 11th - 12th Standards
Do not cross the line while graphing. Provided with several coordinate axes along with asymptotes, pupils determine two functions that will fit the given restrictions. Scholars then determine other geometrical relationships of asymptotes...
Assessment
Concord Consortium

Graphical Depictions

For Students 9th - 12th Standards
Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...
Assessment
Concord Consortium

Functions by the Slice

For Students 11th - 12th Standards
Piece by piece ... dismantling a function can highlight interesting patterns. The task asks learners to slice functions in sections with the same vertical change. They then recreate the graph with these slices positioned horizontally....
Assessment
1
1
Balanced Assessment

Writing and Sketching Resource

For Students 9th - 12th Standards
Picture this—the class creates pictures using functions. Here, learners build functions to model specific graphic criteria. They use their knowledge of parent functions and transformations to create the perfect function. 
Assessment
1
1
Balanced Assessment

Postcards from the Falls

For Students 9th - 12th Standards
Pupils use graphs to analyze two pricing schemes for postcards. After determining which is the best deal, individuals determine what is wrong with the other pricing structures and explain their thinking.
Assessment
Mathed Up!

Pictograms

For Students 3rd - 6th Standards
Young mathematicians read, interpret, and complete a variety of real-world pictograms. Each question includes a key and information to complete the graphs. 
Assessment
1
1
California Education Partners

Colorful Data

For Students 3rd Standards
Scale up your lessons with a performance task. Young data analysts work through an assessment task on scaled bar graphs. They answer questions about a given scaled bar graph on favorite colors, analyze a bar graph to see if it matches...
Assessment
Concord Consortium

Painted Stage

For Students 11th - 12th Standards
Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....
Assessment
1
1
Balanced Assessment

On Averages and Curves

For Students 11th - 12th
Determine the average on a curve. The class finds graphical representations of averages and expresses them both symbolically and on the graph. The assessment requires class members to justify using average to describe graphs.
Assessment
Noyce Foundation

Photographs

For Teachers 6th - 7th Standards
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
Assessment
Concord Consortium

Maintain Your Composition

For Students 9th - 12th Standards
Compose yourself! Learners first use given graphs of functions f and g to graph the composition function f(g(x)) and identify its value for a specific input. They then consider functions for which f(g(x)) = g(f(x)).
Assessment
Inside Mathematics

Population

For Teachers 9th - 12th Standards
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
Assessment
1
1
California Education Partners

Photos

For Students 7th Standards
Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit...
Assessment
1
1
Balanced Assessment

Getting Closer

For Students 11th - 12th Standards
Flip the script! Reverse the situation and ask the class to find the function given asymptotes. The task requires class members to use their knowledge of functions and asymptotes to create functions that have a given asymptote or...
Lesson Plan
Curated OER

The Square Counting Shortcut

For Teachers 2nd - 4th Standards
An excellent lesson that encourages young scholars to discover how complex figures can be broken into simpler shapes when measuring area. Working with block letters, learners are given the freedom to develop their own strategies for...
Lesson Plan
Curated OER

Congruent Rectangles

For Teachers 7th - 9th Standards
Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.
Lesson Plan
Illustrative Mathematics

Half of a Recipe

For Teachers 4th - 6th Standards
Kids love to cook! What is a better place to learn mixed numbers than with a recipe? It is up to learners to decide how they want to divide this recipe in half. They may choose to model the mixed number and then divide the model by two....
Lesson Plan
Illustrative Mathematics

How Many _______ Are In. . . ?

For Teachers 5th - 7th Standards
Help your learners gain meaningful understanding of dividing fractions using fraction models. The activity includes nine problems which are sequenced to show how the fraction division algorithm evolves. Have students use graph paper or...
Lesson Plan
Illustrative Mathematics

Security Camera

For Teachers 6th - 8th Standards
A different-than-normal problem that allows learners to practice their reasoning to find an answer. The problem bases itself off a graph drawing of a store that needs to install security cameras. The challenge is to find which placement...
Assessment
1
1
Inside Mathematics

Quadratic (2009)

For Teachers 9th - 12th Standards
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...

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