Florida Center for Instructional Technology
A Human Number Line: Teacher Notes
Twenty-one pieces of tagboard can lead your class to a greater understanding of integers when you use them to form a human number line. After creating this math tool, two strategies for adding and subtracting will have your...
Curated OER
Teaching Students Mathematical Reasoning Skills
Students can build upon their basic math skills and become higher order thinkers when we encourage the following principles.
Curated OER
Pairs of Whole Numbers
Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.
EngageNY
Mid-Module Assessment Task: Grade 8 Module 4
Determine what the class knows about linear equations. The three-question mid-module assessment is segment 15 in a 33-part series. The assessment includes writing and solving one-variable linear equations and graphing proportional...
Reardon Problem Solving Gifts
Teaching Problem Solving Strategies in the 5-12 Curriculum
Address any kind of math concept or problem with a series of problem-solving strategies. Over 12 days of different activities and increasing skills, learners practice different ways to solve problems, check their answers, and reflect...
Curated OER
Carbon 14 Dating in Practice II
Your archaeologists combine proportional reasoning with exponential functions in a real-life task centered on Carbon 14 dating.
Mathed Up!
Shading Fractions of Rectangles
Learners find the midpoint between two numbers, shade fractional amounts of rectangles as well as decimal amounts of rectangles, and explain their mathematical reasoning in words. The assessment is a great way to check for understanding...
Wake Forest University
Authentic Activities for Connecting Mathematics to the Real World
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities can be...
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 4
Assess the ability of the class to solve percent problems with an assessment that covers a variety of percent problems from basic to multi-step. Pupils make connections between percent problems and proportional thinking to complete the...
Mathematics Assessment Project
Middle School Mathematics Test 2
A 13-page test with two 40-minute sections covers multiple years of math content. It incorporates applied problems and mathematical analysis.
Illustrative Mathematics
Reasoning about Multiplication
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 true the...
Curated OER
Deductive and Inductive Reasoning
Students differentiate between inductive and deductive reasoning. In this geometry activity, students identify congruent figures and examine logos for congruency.
Curated OER
Mathematics Lesson for Grade 12
Twelfth graders examine multiple aspects of statistics. In this mathematical reasoning lesson, 12th graders solve problems on probability, logarithms, exponential relationships and transforming rectilinear shapes. This resource contains...
EngageNY
Ratios and Unit Rates
This turn-key unit on ratios and unit rates walks through a 30-lesson unit on teaching proportional reasoning, with each lesson broken into detailed teaching notes and time allotments for all parts. An unbelievable resource when taken...
Curated OER
The Distance Formula and Marching Nonviolently for Social Change
Learners explore the distance formula using real world data from nonviolent marches for social change. For this secondary mathematics lesson, students investigate the marches of Gandhi and King using maps overlaid with a coordinate...
Curated OER
Math Games for Skills and Concepts
A 27-page packet full of math games and activities builds on algebra, measurement, geometry, fractional, and graphing skills. Young mathematicians participate in math games collaboratively, promoting teamwork and skills practice.
Sargent Art
Color Value Study
I love geometric art because it applies mathematical reasoning to an artistic endeavor. Creative kids use scale values to highlight their complex, repetitive, geometric designs. Symmetry, angles, and congruence are three concepts that...
Curated OER
Leadership Program in Discrete Mathematics
Students, using Pascal's triangle, find the number of items given each day in the song, "The 12 Days of Christmas."
National Wildlife Federation
Get Your Techno On
Desert regions are hotter for multiple reasons; the lack of vegetation causes the sun's heat to go straight into the surface and the lack of moisture means none of the heat is being transferred into evaporation. This concept, and other...
Curated OER
Set Design
Students explore proportional reasoning. In this middle school mathematics lesson students investigate scale drawings as they create a proportional representation for the carvings on Mt. Rushmore.
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Intel
Pedal Power
Show your classes the importance of mathematics in something as simple as bicycle design. The final lesson in the six-part STEM series has each group research a different aspect of the bicycle. Learners use mathematical formulas, linear...
Teach Engineering
Let's Learn About Spatial Viz!
Can you see your class working on spatial visualization? The first installment of a five-part module introduces the concept of spatial visualization and provides a 12-question diagnostic assessment to test spatial visualization skills....
Curated OER
World Hunger - A Cultural Crisis
High schoolers explore the problem of world hunger and starvation. After a class discussion, students use a map to identify specific areas where populations are starving. In groups, high schoolers research reasons for the lack of food....